Aptitude Overflow - Recent questions tagged cat2022-set3
https://aptitude.gateoverflow.in/tag/cat2022-set3
Powered by Question2AnswerCAT 2022 Set-3 | Quantitative Aptitude | Question: 1
https://aptitude.gateoverflow.in/9878/cat-2022-set-3-quantitative-aptitude-question-1
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-1" height="170" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=14941219156485745786" width="597"></p>
<p>A donation box can receive only cheques of ₹$100$, ₹$250$, and ₹$500$. On one good day, the donation box was found to contain exactly $100$ cheques amounting to a total sum of ₹$15250$. Then, the maximum possible number of cheques of ₹$500$ that the donation box may have contained, is<br>
</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9878/cat-2022-set-3-quantitative-aptitude-question-1Fri, 03 Mar 2023 14:05:06 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 2
https://aptitude.gateoverflow.in/9877/cat-2022-set-3-quantitative-aptitude-question-2
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-2" height="188" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=9603057584542131359" width="760"></p>
<p>If $c=\frac{16 x}{y}+\frac{49 y}{x}$ for some non-zero real numbers $x$ and $y$, then $c$ cannot take the value</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$-60$ </li>
<li>$-50$ </li>
<li>$60$ </li>
<li>$-70$ </li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9877/cat-2022-set-3-quantitative-aptitude-question-2Fri, 03 Mar 2023 14:05:06 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 3
https://aptitude.gateoverflow.in/9876/cat-2022-set-3-quantitative-aptitude-question-3
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-3" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=11324827172568818328"></p>
<p>If $(3+2 \sqrt{2})$ is a root of the equation $a x^{2}+b x+c-0$, and $(4+2 \sqrt{3})$ is a root of the equation $a y^{2}+m y+n – 0$, where $a, b, c, m$ and $n$ are integers, then the value of $\left(\frac{b}{m}+\frac{c-2 b}{n}\right)$ is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$0$</li>
<li>$3$</li>
<li>$4$</li>
<li>$1$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9876/cat-2022-set-3-quantitative-aptitude-question-3Fri, 03 Mar 2023 14:05:05 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 4
https://aptitude.gateoverflow.in/9875/cat-2022-set-3-quantitative-aptitude-question-4
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-4" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=12030701543383536374"></p>
<p>Suppose the medians $\mathrm{BD}$ and $\mathrm{CE}$ of a triangle $\mathrm{ABC}$ intersect at a point $\mathrm{O}$. If area of triangle $\mathrm{ABC}$ is $108$ $\mathrm{sq. cm}$., then, the area of the triangle $\mathrm{EOD}$, in $\mathrm{sq. cm}$., is<br>
</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9875/cat-2022-set-3-quantitative-aptitude-question-4Fri, 03 Mar 2023 14:05:04 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 5
https://aptitude.gateoverflow.in/9874/cat-2022-set-3-quantitative-aptitude-question-5
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-5" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=14180585010501733128"></p>
<p>Bob can finish a job in $40$ days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second day, Cole and Alex work together on the third day, and then, they continue the work by repeating this three day roster, with Alex and Bob working together on the fourth day, and so on. Then, the total number of days Alex would have worked when the job gets finished, is</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9874/cat-2022-set-3-quantitative-aptitude-question-5Fri, 03 Mar 2023 14:05:03 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 6
https://aptitude.gateoverflow.in/9873/cat-2022-set-3-quantitative-aptitude-question-6
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-6" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=7643543774178046408"></p>
<p>A glass contains $500 \mathrm{cc}$ of milk and a cup contains $500 \mathrm{cc}$ of water. From the glass, $150 \mathrm{cc}$ of milk is transferred to the cup and mixed thoroughly. Next, $150 \mathrm{cc}$ of this mixture is transferred from the cup to the glass. Now, the amount of water in the glass and the amount of milk in the cup are in the ratio</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$1: 1$</li>
<li>$10: 3$</li>
<li>$10: 13$</li>
<li>$3: 10$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9873/cat-2022-set-3-quantitative-aptitude-question-6Fri, 03 Mar 2023 14:05:02 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 7
https://aptitude.gateoverflow.in/9872/cat-2022-set-3-quantitative-aptitude-question-7
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-7" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=14511435062835546026"></p>
<p>Consider six distinct natural numbers such that the average of the two smallest numbers is $14$, and the average of the two largest numbers is $28$. Then, the maximum possible value of the average of these six numbers is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$22 .5$</li>
<li>$23$</li>
<li>$23 .5$</li>
<li>$24$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9872/cat-2022-set-3-quantitative-aptitude-question-7Fri, 03 Mar 2023 14:05:01 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 8
https://aptitude.gateoverflow.in/9871/cat-2022-set-3-quantitative-aptitude-question-8
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-8" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=9735528285356765105"></p>
<p>Let $r$ be a real number and $f(x)=\left\{\begin{array}{cl}2 x-r & \text { if } x \geq r \\ r & \text { if } x<r\end{array}\right.$. Then, the equation $f(x)=f(f(x))$ holds for all real values of $x$ where</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$x \leq r$</li>
<li>$x>r$</li>
<li>$x \geq r$</li>
<li>$x \neq r$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9871/cat-2022-set-3-quantitative-aptitude-question-8Fri, 03 Mar 2023 14:05:00 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 9
https://aptitude.gateoverflow.in/9870/cat-2022-set-3-quantitative-aptitude-question-9
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-9" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=16098990698209053279"></p>
<p>Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length $24 \mathrm{km}$. When the slower ship travelled $8 \mathrm{km}$, the triangle formed by the new positions of the two ships and the port became right-angled. When the faster ship reaches the port, the distance, in $\mathrm{km}$, between the other ship and the port will be</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4$</li>
<li>$6$</li>
<li>$12$</li>
<li>$8$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9870/cat-2022-set-3-quantitative-aptitude-question-9Fri, 03 Mar 2023 14:04:59 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 10
https://aptitude.gateoverflow.in/9869/cat-2022-set-3-quantitative-aptitude-question-10
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-10" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=5410806263842122050"></p>
<p>Nitu has an initial capital of ₹ $20,000$. Out of this, she invests ₹$8,000$ at $5.5 \%$ in bank $\mathrm{A}$, ₹$5,000$ at $5.6 \%$ in bank $\mathrm{B}$ and the remaining amount at $x \%$ in bank $\mathrm{C}$, each rate being simple interest per annum. Her combined annual interest income from these investments is equal to $5 \%$ of the initial capital. If she had invested her entire initial capital in bank $\mathrm{C}$ alone, then her annual interest income, in rupees, would have been</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$900$</li>
<li>$800$</li>
<li>$1000$</li>
<li>$700$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9869/cat-2022-set-3-quantitative-aptitude-question-10Fri, 03 Mar 2023 14:04:58 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 11
https://aptitude.gateoverflow.in/9868/cat-2022-set-3-quantitative-aptitude-question-11
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-11" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=13140438568522716672"></p>
<p>The minimum possible value of $\frac{x^{2}-6 x+10}{3-x}$, for $x<3$, is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$-2$</li>
<li>$2$</li>
<li>$\frac{1}{2}$</li>
<li>$-\frac{1}{2}$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9868/cat-2022-set-3-quantitative-aptitude-question-11Fri, 03 Mar 2023 14:04:57 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 12
https://aptitude.gateoverflow.in/9867/cat-2022-set-3-quantitative-aptitude-question-12
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-12" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=17155775549730824168"></p>
<p>In an examination, the average marks of students in sections $\mathrm{A}$ and $\mathrm{B}$ are $32$ and $60$, respectively. The number of students in section $\mathrm{A}$ is $10$ less than that in section $\mathrm{B}$. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section $\mathrm{A}$ is<br>
</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9867/cat-2022-set-3-quantitative-aptitude-question-12Fri, 03 Mar 2023 14:04:44 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 13
https://aptitude.gateoverflow.in/9866/cat-2022-set-3-quantitative-aptitude-question-13
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-13" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=915773944147042543"></p>
<p>If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of $a$ and $b$, then the value of $x+y$ is</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9866/cat-2022-set-3-quantitative-aptitude-question-13Fri, 03 Mar 2023 14:04:42 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 14
https://aptitude.gateoverflow.in/9865/cat-2022-set-3-quantitative-aptitude-question-14
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-14" height="224" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=15102891164970420616" width="800"></p>
<p>A group of $\mathrm{N}$ people worked on a project. They finished $35 \%$ of the project by working $7$ hours a day for $10$ days. Thereafter, $10$ people left the group and the remaining people finished the rest of the project in $14$ days by working $10$ hours a day. Then the value of $\mathrm{N}$ is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$150$</li>
<li>$36$</li>
<li>$140$</li>
<li>$23$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9865/cat-2022-set-3-quantitative-aptitude-question-14Fri, 03 Mar 2023 14:04:41 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 15
https://aptitude.gateoverflow.in/9864/cat-2022-set-3-quantitative-aptitude-question-15
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-15" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=12217566412581883860"></p>
<p>Moody takes $30$ seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes $20$ seconds to finish riding the escalator if he walks at twice his normal speed in the same direction. If Moody decides to stand still on the escalator, then the time, in seconds, needed to finish riding the escalator is</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9864/cat-2022-set-3-quantitative-aptitude-question-15Fri, 03 Mar 2023 14:04:39 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 16
https://aptitude.gateoverflow.in/9863/cat-2022-set-3-quantitative-aptitude-question-16
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-16" height="213" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=6205039554250835411" width="800"></p>
<p>In a triangle $\mathrm{A B C, A B=A C}=8 \mathrm{cm}$. A circle drawn with $\mathrm{BC}$ as diameter passes through $\mathrm{A}$. Another circle drawn with center at $\mathrm{A}$ passes through $\mathrm{B}$ and $\mathrm{C}$. Then the area, in $\mathrm{sq. cm}$, of the overlapping region between the two circles is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$16(\pi-1)$</li>
<li>$32 \pi$</li>
<li>$32(\pi-1)$</li>
<li>$16 \pi$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9863/cat-2022-set-3-quantitative-aptitude-question-16Fri, 03 Mar 2023 14:04:38 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 17
https://aptitude.gateoverflow.in/9862/cat-2022-set-3-quantitative-aptitude-question-17
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-17" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=1397948098250713425"></p>
<p>Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\mathrm{x}$. Then, the number of possible values of $\mathrm{k}$ is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$7$</li>
<li>$9$</li>
<li>$8$</li>
<li>$13$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9862/cat-2022-set-3-quantitative-aptitude-question-17Fri, 03 Mar 2023 14:04:37 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 18
https://aptitude.gateoverflow.in/9861/cat-2022-set-3-quantitative-aptitude-question-18
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-18" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=17814954047428327041"></p>
<p>The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$2442$</li>
<li>$3333$</li>
<li>$2592$</li>
<li>$2222$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9861/cat-2022-set-3-quantitative-aptitude-question-18Fri, 03 Mar 2023 14:04:36 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 19
https://aptitude.gateoverflow.in/9860/cat-2022-set-3-quantitative-aptitude-question-19
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-19" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=4541450572392733984"></p>
<p>The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length $1 \mathrm{cm}, 2 \mathrm{cm}$ and $4 \mathrm{cm}$, then the total number of possible lengths of the fourth side is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$5$</li>
<li>$4$</li>
<li>$3$</li>
<li>$6$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9860/cat-2022-set-3-quantitative-aptitude-question-19Fri, 03 Mar 2023 14:04:35 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 20
https://aptitude.gateoverflow.in/9859/cat-2022-set-3-quantitative-aptitude-question-20
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-20" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=16144620692918018333"></p>
<p>Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take $1.5$ hours if they travel towards each other, but $10.5$ hours if they travel in the same direction. If the speed of the slower car is $60 \mathrm{~km} / \mathrm{hr}$, then the distance traveled, in $\mathrm{km}$, by the slower car when it meets the other car while traveling towards each other, is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$100$</li>
<li>$90$</li>
<li>$150$</li>
<li>$120$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9859/cat-2022-set-3-quantitative-aptitude-question-20Fri, 03 Mar 2023 14:04:35 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 21
https://aptitude.gateoverflow.in/9858/cat-2022-set-3-quantitative-aptitude-question-21
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-21" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=5366059282362828906"></p>
<p>A school has less than $5000$ students and if the students are divided equally into teams of either $9$ or $10$ or $12$ or $25$ each, exactly $4$ are always left out. However, if they are divided into teams of $11$ each, no one is left out. The maximum number of teams of $12$ each that can be formed out of the students in the school is</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9858/cat-2022-set-3-quantitative-aptitude-question-21Fri, 03 Mar 2023 14:04:33 +0000CAT 2022 Set-3 | Quantitative Aptitude | Question: 22
https://aptitude.gateoverflow.in/9857/cat-2022-set-3-quantitative-aptitude-question-22
<p><img alt="CAT 2022 Set-3 | Quantitative Aptitude | Question-22" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=7155071775284265476"></p>
<p>The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/9857/cat-2022-set-3-quantitative-aptitude-question-22Fri, 03 Mar 2023 14:04:32 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 1
https://aptitude.gateoverflow.in/9840/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-1" height="723" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=636128616457778101" width="800"></p>
<p><strong>Comprehension:</strong><br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in $1980$. The study chose $1000$ males and $1000$ females and followed them for forty years or until they died, whichever came first. The $1000$ males chosen in $1980$ consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$ , and $40$ to less than $50$. The $1000$ females chosen in $1980$ also consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$, and $40$ to less than $50$.<br>
<br>
The four figures below depict the age profile of those among the $2000$ individuals who were still alive in $1990,2000$, $2010$, and $2020$. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that $230$ males among those tracked and who were alive in $1990$ were aged between $20$ and $30$.<br>
<img alt="" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=17670122852325386681" width="500"></p>
<p> </p>
<p>In $2000$, what was the ratio of the number of dead males to dead females among those being tracked?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$129: 131$</li>
<li>$71: 69$</li>
<li>$109 : 107$</li>
<li>$41: 43$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9840/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:35 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 2
https://aptitude.gateoverflow.in/9839/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-2" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=14015984328555063462"></p>
<p><strong>Comprehension:</strong><br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in $1980$. The study chose $1000$ males and $1000$ females and followed them for forty years or until they died, whichever came first. The $1000$ males chosen in $1980$ consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$ , and $40$ to less than $50$. The $1000$ females chosen in $1980$ also consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$, and $40$ to less than $50$.<br>
<br>
The four figures below depict the age profile of those among the $2000$ individuals who were still alive in $1990,2000$, $2010$, and $2020$. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that $230$ males among those tracked and who were alive in $1990$ were aged between $20$ and $30$.</p>
<p><img alt="" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=202083110499368141" width="500"></p>
<p> </p>
<p>How many people who were being tracked and who were between $30$ and $40$ years of age in $1980$ survived until $2010$ ?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$90$</li>
<li>$310$</li>
<li>$190$</li>
<li>$110$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9839/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:33 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 3
https://aptitude.gateoverflow.in/9838/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-3" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=16063425640266596678"></p>
<p><strong>Comprehension:</strong><br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in $1980$. The study chose $1000$ males and $1000$ females and followed them for forty years or until they died, whichever came first. The $1000$ males chosen in $1980$ consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$ , and $40$ to less than $50$. The $1000$ females chosen in $1980$ also consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$, and $40$ to less than $50$.<br>
<br>
The four figures below depict the age profile of those among the $2000$ individuals who were still alive in $1990,2000$, $2010$, and $2020$. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that $230$ males among those tracked and who were alive in $1990$ were aged between $20$ and $30$.</p>
<p><img alt="" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=5735707224721730561" width="500"></p>
<p>How many individuals who were being tracked and who were less than $30$ years of age in $1980$ survived until $2020$?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$580$</li>
<li>$470$</li>
<li>$240$</li>
<li>$230$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9838/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:31 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 4
https://aptitude.gateoverflow.in/9837/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-4" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=14998172086964061197"></p>
<p><strong>Comprehension:</strong><br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in $1980$. The study chose $1000$ males and $1000$ females and followed them for forty years or until they died, whichever came first. The $1000$ males chosen in $1980$ consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$ , and $40$ to less than $50$. The $1000$ females chosen in $1980$ also consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$, and $40$ to less than $50$.<br>
<br>
The four figures below depict the age profile of those among the $2000$ individuals who were still alive in $1990,2000$, $2010$, and $2020$. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that $230$ males among those tracked and who were alive in $1990$ were aged between $20$ and $30$.</p>
<p><img alt="" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=2983106723771211717" width="500"><br>
<br>
How many of the males who were being tracked and who were between $20$ and $30$ years of age in $1980$ died in the period $2000$ to $2010$?<br>
</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9837/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:29 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 5
https://aptitude.gateoverflow.in/9836/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-5" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=1394853634385978276"></p>
<p><strong>Comprehension:</strong><br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in $1980$. The study chose $1000$ males and $1000$ females and followed them for forty years or until they died, whichever came first. The $1000$ males chosen in $1980$ consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$ , and $40$ to less than $50$. The $1000$ females chosen in $1980$ also consisted of $250$ each of ages $10$ to less than $20,20$ to less than $30,30$ to less than $40$, and $40$ to less than $50$.<br>
<br>
The four figures below depict the age profile of those among the $2000$ individuals who were still alive in $1990,2000$, $2010$, and $2020$. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that $230$ males among those tracked and who were alive in $1990$ were aged between $20$ and $30$.</p>
<p><img alt="" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=15599427432144467740" width="500"></p>
<p>How many of the females who were being tracked and who were between $20$ and $30$ years of age in $1980$ died between the ages of $50$ and $60$?<br>
</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9836/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:28 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 6
https://aptitude.gateoverflow.in/9835/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-6" height="676" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=9095337083249391690" width="676"></p>
<p><strong>Comprehension:</strong><br>
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restinction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹$1$ or ₹$2$ in that round. For example, if they chose to bet ₹$2$, then the player winning the game got ₹$2$ from the one losing the game.<br>
At the beginning of the tournament, the players had ₹$10$ each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹$10$ at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight round. For example, Suresh had ₹$10$ at the end of Rounds $1, 3,$ and $8$ and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹$13$ (at the end of Round $5$), and the minimum amount he had at the end of any round was ₹$8$ (at the end of Round $2$). At the end of all other rounds, he must have had either ₹$9$, ₹$11$, or ₹ $12$.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round $4$.</p>
<table border="1" cellpadding="1" style="width:500px">
<tbody>
<tr>
<td> </td>
<td>Pulak</td>
<td>Qasim</td>
<td>Ritesh</td>
<td>Suresh</td>
</tr>
<tr>
<td>Round $1$</td>
<td> </td>
<td>₹$8$</td>
<td>₹$10$</td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $2$</td>
<td>₹$13$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$8$</td>
</tr>
<tr>
<td>Round $3$</td>
<td> </td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $4$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $5$</td>
<td>₹$10$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$13$</td>
</tr>
<tr>
<td>Round $6$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $7$</td>
<td> </td>
<td>₹$12$</td>
<td>₹$4$</td>
<td> </td>
</tr>
<tr>
<td>Round $8$</td>
<td>₹$13$</td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
</tbody>
</table>
<p><br>
What BEST can be said about the amount of money that Ritesh had with him at the end of Round $8$ ?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Exactly ₹$6$</li>
<li>Exactly ₹$5$</li>
<li>₹$5$ or ₹$6$</li>
<li>₹$4$ or ₹$5$</li>
</ol>
<p> </p>Logical Reasoninghttps://aptitude.gateoverflow.in/9835/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:26 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 7
https://aptitude.gateoverflow.in/9834/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-7" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=7387346997655329538"></p>
<p><strong>Comprehension:</strong><br>
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restinction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹$1$ or ₹$2$ in that round. For example, if they chose to bet ₹$2$, then the player winning the game got ₹$2$ from the one losing the game.<br>
At the beginning of the tournament, the players had ₹$10$ each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹$10$ at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight round. For example, Suresh had ₹$10$ at the end of Rounds $1, 3,$ and $8$ and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹$13$ (at the end of Round $5$), and the minimum amount he had at the end of any round was ₹$8$ (at the end of Round $2$). At the end of all other rounds, he must have had either ₹$9$, ₹$11$, or ₹ $12$.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round $4$.</p>
<table border="1" cellpadding="1">
<tbody>
<tr>
<td> </td>
<td>Pulak</td>
<td>Qasim</td>
<td>Ritesh</td>
<td>Suresh</td>
</tr>
<tr>
<td>Round $1$</td>
<td> </td>
<td>₹$8$</td>
<td>₹$10$</td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $2$</td>
<td>₹$13$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$8$</td>
</tr>
<tr>
<td>Round $3$</td>
<td> </td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $4$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $5$</td>
<td>₹$10$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$13$</td>
</tr>
<tr>
<td>Round $6$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $7$</td>
<td> </td>
<td>₹$12$</td>
<td>₹$4$</td>
<td> </td>
</tr>
<tr>
<td>Round $8$</td>
<td>₹$13$</td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
</tbody>
</table>
<p><br>
<br>
What BEST can be said about the amount of money that Pulak had with him at the end of Round $6$?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>₹$12$ or ₹ $13$</li>
<li>₹$11$ or ₹$12$</li>
<li>Exactly ₹$12$</li>
<li>Exactly ₹$11$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9834/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:23 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 8
https://aptitude.gateoverflow.in/9833/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-8" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=16300280879762807865"></p>
<p><strong>Comprehension:</strong><br>
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restinction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹$1$ or ₹$2$ in that round. For example, if they chose to bet ₹$2$, then the player winning the game got ₹$2$ from the one losing the game.<br>
At the beginning of the tournament, the players had ₹$10$ each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹$10$ at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight round. For example, Suresh had ₹$10$ at the end of Rounds $1, 3,$ and $8$ and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹$13$ (at the end of Round $5$), and the minimum amount he had at the end of any round was ₹$8$ (at the end of Round $2$). At the end of all other rounds, he must have had either ₹$9$, ₹$11$, or ₹ $12$.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round $4$.</p>
<table border="1" cellpadding="1">
<tbody>
<tr>
<td> </td>
<td>Pulak</td>
<td>Qasim</td>
<td>Ritesh</td>
<td>Suresh</td>
</tr>
<tr>
<td>Round $1$</td>
<td> </td>
<td>₹$8$</td>
<td>₹$10$</td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $2$</td>
<td>₹$13$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$8$</td>
</tr>
<tr>
<td>Round $3$</td>
<td> </td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $4$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $5$</td>
<td>₹$10$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$13$</td>
</tr>
<tr>
<td>Round $6$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $7$</td>
<td> </td>
<td>₹$12$</td>
<td>₹$4$</td>
<td> </td>
</tr>
<tr>
<td>Round $8$</td>
<td>₹$13$</td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
</tbody>
</table>
<p><br>
How much money (in ₹) did Ritesh have at the end of Round $4$?<br>
</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9833/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:21 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 9
https://aptitude.gateoverflow.in/9832/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-9" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=2611506624132148303"></p>
<p><strong>Comprehension:</strong><br>
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restinction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹$1$ or ₹$2$ in that round. For example, if they chose to bet ₹$2$, then the player winning the game got ₹$2$ from the one losing the game.<br>
At the beginning of the tournament, the players had ₹$10$ each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹$10$ at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight round. For example, Suresh had ₹$10$ at the end of Rounds $1, 3,$ and $8$ and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹$13$ (at the end of Round $5$), and the minimum amount he had at the end of any round was ₹$8$ (at the end of Round $2$). At the end of all other rounds, he must have had either ₹$9$, ₹$11$, or ₹ $12$.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round $4$.</p>
<table border="1" cellpadding="1">
<tbody>
<tr>
<td> </td>
<td>Pulak</td>
<td>Qasim</td>
<td>Ritesh</td>
<td>Suresh</td>
</tr>
<tr>
<td>Round $1$</td>
<td> </td>
<td>₹$8$</td>
<td>₹$10$</td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $2$</td>
<td>₹$13$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$8$</td>
</tr>
<tr>
<td>Round $3$</td>
<td> </td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $4$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $5$</td>
<td>₹$10$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$13$</td>
</tr>
<tr>
<td>Round $6$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $7$</td>
<td> </td>
<td>₹$12$</td>
<td>₹$4$</td>
<td> </td>
</tr>
<tr>
<td>Round $8$</td>
<td>₹$13$</td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
</tbody>
</table>
<p>How many games were played with a bet of ₹$2$?</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9832/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:18 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 10
https://aptitude.gateoverflow.in/9831/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-10" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=16415750229744189759"></p>
<p> </p>
<p><strong>Comprehension:</strong><br>
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restinction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹$1$ or ₹$2$ in that round. For example, if they chose to bet ₹$2$, then the player winning the game got ₹$2$ from the one losing the game.<br>
At the beginning of the tournament, the players had ₹$10$ each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹$10$ at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight round. For example, Suresh had ₹$10$ at the end of Rounds $1, 3,$ and $8$ and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹$13$ (at the end of Round $5$), and the minimum amount he had at the end of any round was ₹$8$ (at the end of Round $2$). At the end of all other rounds, he must have had either ₹$9$, ₹$11$, or ₹ $12$.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round $4$.</p>
<table border="1" cellpadding="1">
<tbody>
<tr>
<td> </td>
<td>Pulak</td>
<td>Qasim</td>
<td>Ritesh</td>
<td>Suresh</td>
</tr>
<tr>
<td>Round $1$</td>
<td> </td>
<td>₹$8$</td>
<td>₹$10$</td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $2$</td>
<td>₹$13$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$8$</td>
</tr>
<tr>
<td>Round $3$</td>
<td> </td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
<tr>
<td>Round $4$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $5$</td>
<td>₹$10$</td>
<td>₹$10$</td>
<td> </td>
<td>₹$13$</td>
</tr>
<tr>
<td>Round $6$</td>
<td> </td>
<td> </td>
<td> </td>
<td> </td>
</tr>
<tr>
<td>Round $7$</td>
<td> </td>
<td>₹$12$</td>
<td>₹$4$</td>
<td> </td>
</tr>
<tr>
<td>Round $8$</td>
<td>₹$13$</td>
<td> </td>
<td> </td>
<td>₹$10$</td>
</tr>
</tbody>
</table>
<p>Which of the following pairings was made in Round $5$?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Pulak and Qasim</li>
<li>Pulak and Suresh</li>
<li>Pulak and Ritesh</li>
<li>Qasim and Suresh</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9831/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:16 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 11
https://aptitude.gateoverflow.in/9830/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-11" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=3121261407521076436"></p>
<p><strong>Comprehension:</strong><br>
All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an $\mathrm{F}$ grade; others pass and are awarded $\mathrm{A}$ or $\mathrm{B}$ or $\mathrm{C}$ grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.</p>
<ol>
<li>The numbers of non-CS students who took $\mathrm{Al}$ and $\mathrm{ML}$ were in the ratio $2: 5$.</li>
<li>The number of non-CS students who took either $\mathrm{Al}$ or $\mathrm{ML}$ was equal to the number of CS students.</li>
<li>The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a $\mathrm{C}$ grade in $\mathrm{ML}$.</li>
<li>In both the courses, $50 \%$ of the students who passed got a $\mathrm{B}$ grade. But, while the numbers of students who got $\mathrm{A}$ and $\mathrm{C}$ grades were the same for $\mathrm{Al}$, they were in the ratio $3 : 2$ for $\mathrm{ML}$.</li>
<li>No CS student failed in $\mathrm{Al}$, while no non-CS student got an $\mathrm{A}$ grade in $\mathrm{Al}$.</li>
<li>The numbers of CS students who got $\mathrm{A, B}$ and $\mathrm{C}$ grades respectively in $\mathrm{Al}$ were in the ratio $3: 5: 2$, while in $\mathrm{ML}$ the ratio was $4: 5: 2$.</li>
<li>The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was $3: 1$.</li>
<li>$30$ students failed in $\mathrm{ML}$.</li>
</ol>
<p>How many students took $\mathrm{Al}$?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$90$</li>
<li>$60$</li>
<li>$270$</li>
<li>$210$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9830/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:13 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 12
https://aptitude.gateoverflow.in/9829/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-12" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=15693014111027790009"></p>
<p><strong>Comprehension:</strong><br>
All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an $\mathrm{F}$ grade; others pass and are awarded $\mathrm{A}$ or $\mathrm{B}$ or $\mathrm{C}$ grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.</p>
<ol>
<li>The numbers of non-CS students who took $\mathrm{Al}$ and $\mathrm{ML}$ were in the ratio $2: 5$.</li>
<li>The number of non-CS students who took either $\mathrm{Al}$ or $\mathrm{ML}$ was equal to the number of CS students.</li>
<li>The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a $\mathrm{C}$ grade in $\mathrm{ML}$.</li>
<li>In both the courses, $50 \%$ of the students who passed got a $\mathrm{B}$ grade. But, while the numbers of students who got $\mathrm{A}$ and $\mathrm{C}$ grades were the same for $\mathrm{Al}$, they were in the ratio $3 : 2$ for $\mathrm{ML}$.</li>
<li>No CS student failed in $\mathrm{Al}$, while no non-CS student got an $\mathrm{A}$ grade in $\mathrm{Al}$.</li>
<li>The numbers of CS students who got $\mathrm{A, B}$ and $\mathrm{C}$ grades respectively in $\mathrm{Al}$ were in the ratio $3: 5: 2$, while in $\mathrm{ML}$ the ratio was $4: 5: 2$.</li>
<li>The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was $3: 1$.</li>
<li>$30$ students failed in $\mathrm{ML}$.</li>
</ol>
<p>How many CS students failed in $\mathrm{ML}$?<br>
</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9829/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:10 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 13
https://aptitude.gateoverflow.in/9828/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-13" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=6530129688775485308"></p>
<p><strong>Comprehension:</strong><br>
All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an $\mathrm{F}$ grade; others pass and are awarded $\mathrm{A}$ or $\mathrm{B}$ or $\mathrm{C}$ grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.</p>
<ol>
<li>The numbers of non-CS students who took $\mathrm{Al}$ and $\mathrm{ML}$ were in the ratio $2: 5$.</li>
<li>The number of non-CS students who took either $\mathrm{Al}$ or $\mathrm{ML}$ was equal to the number of CS students.</li>
<li>The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a $\mathrm{C}$ grade in $\mathrm{ML}$.</li>
<li>In both the courses, $50 \%$ of the students who passed got a $\mathrm{B}$ grade. But, while the numbers of students who got $\mathrm{A}$ and $\mathrm{C}$ grades were the same for $\mathrm{Al}$, they were in the ratio $3 : 2$ for $\mathrm{ML}$.</li>
<li>No CS student failed in $\mathrm{Al}$, while no non-CS student got an $\mathrm{A}$ grade in $\mathrm{Al}$.</li>
<li>The numbers of CS students who got $\mathrm{A, B}$ and $\mathrm{C}$ grades respectively in $\mathrm{Al}$ were in the ratio $3: 5: 2$, while in $\mathrm{ML}$ the ratio was $4: 5: 2$.</li>
<li>The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was $3: 1$.</li>
<li>$30$ students failed in $\mathrm{ML}$.</li>
</ol>
<p>How many non-CS students got $\mathrm{A}$ grade in $\mathrm{ML}$?<br>
</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9828/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:07 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 14
https://aptitude.gateoverflow.in/9827/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-14" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=17963969433185520871"></p>
<p><strong>Comprehension:</strong><br>
All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an $\mathrm{F}$ grade; others pass and are awarded $\mathrm{A}$ or $\mathrm{B}$ or $\mathrm{C}$ grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.</p>
<ol>
<li>The numbers of non-CS students who took $\mathrm{Al}$ and $\mathrm{ML}$ were in the ratio $2: 5$.</li>
<li>The number of non-CS students who took either $\mathrm{Al}$ or $\mathrm{ML}$ was equal to the number of CS students.</li>
<li>The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a $\mathrm{C}$ grade in $\mathrm{ML}$.</li>
<li>In both the courses, $50 \%$ of the students who passed got a $\mathrm{B}$ grade. But, while the numbers of students who got $\mathrm{A}$ and $\mathrm{C}$ grades were the same for $\mathrm{Al}$, they were in the ratio $3 : 2$ for $\mathrm{ML}$.</li>
<li>No CS student failed in $\mathrm{Al}$, while no non-CS student got an $\mathrm{A}$ grade in $\mathrm{Al}$.</li>
<li>The numbers of CS students who got $\mathrm{A, B}$ and $\mathrm{C}$ grades respectively in $\mathrm{Al}$ were in the ratio $3: 5: 2$, while in $\mathrm{ML}$ the ratio was $4: 5: 2$.</li>
<li>The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was $3: 1$.</li>
<li>$30$ students failed in $\mathrm{ML}$.</li>
</ol>
<p>How many students got $\mathrm{A}$ grade in $\mathrm{Al}$?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$63$</li>
<li>$42$</li>
<li>$84$</li>
<li>$99$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9827/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:04 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 15
https://aptitude.gateoverflow.in/9826/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-15" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=9651929682356920584"></p>
<p><strong>Comprehension:</strong><br>
All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an $\mathrm{F}$ grade; others pass and are awarded $\mathrm{A}$ or $\mathrm{B}$ or $\mathrm{C}$ grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.</p>
<ol>
<li>The numbers of non-CS students who took $\mathrm{Al}$ and $\mathrm{ML}$ were in the ratio $2: 5$.</li>
<li>The number of non-CS students who took either $\mathrm{Al}$ or $\mathrm{ML}$ was equal to the number of CS students.</li>
<li>The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a $\mathrm{C}$ grade in $\mathrm{ML}$.</li>
<li>In both the courses, $50 \%$ of the students who passed got a $\mathrm{B}$ grade. But, while the numbers of students who got $\mathrm{A}$ and $\mathrm{C}$ grades were the same for $\mathrm{Al}$, they were in the ratio $3 : 2$ for $\mathrm{ML}$.</li>
<li>No CS student failed in $\mathrm{Al}$, while no non-CS student got an $\mathrm{A}$ grade in $\mathrm{Al}$.</li>
<li>The numbers of CS students who got $\mathrm{A, B}$ and $\mathrm{C}$ grades respectively in $\mathrm{Al}$ were in the ratio $3: 5: 2$, while in $\mathrm{ML}$ the ratio was $4: 5: 2$.</li>
<li>The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was $3: 1$.</li>
<li>$30$ students failed in $\mathrm{ML}$.</li>
</ol>
<p>How many non-CS students got $\mathrm{B}$ grade in $\mathrm{ML}$?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$75$</li>
<li>$25$</li>
<li>$90$</li>
<li>$165$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9826/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:28:00 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 16
https://aptitude.gateoverflow.in/9825/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-16" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=15293746889624379498"></p>
<p><strong>Comprehension:</strong><br>
There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either $0,1,2$ or $3$.<br>
The following facts are also known:<br>
1. There was at least one new case in every neighbourhood on Day $1$.<br>
2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.<br>
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day $3$ was exactly one more than that on Day $2$.<br>
4. The maximum number of new cases in a day in Pesmisto was $2$, and this happened only once during the five-day period.<br>
5. Kitmisto is the only place to have $3$ new cases on Day $2$.<br>
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were $12,12, 5$ and $14$ respectively.<br>
<br>
What BEST can be concluded about the total number of new cases in the city on Day $2$ ?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Exactly $8$</li>
<li>Either $7$ or $8$</li>
<li>Exactly $7$</li>
<li>Either $6$ or $7$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9825/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:58 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 17
https://aptitude.gateoverflow.in/9824/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-17" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=17652005061698522219"></p>
<p><strong>Comprehension:</strong><br>
There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either $0,1,2$ or $3$.<br>
The following facts are also known:<br>
1. There was at least one new case in every neighbourhood on Day $1$.<br>
2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.<br>
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day $3$ was exactly one more than that on Day $2$.<br>
4. The maximum number of new cases in a day in Pesmisto was $2$, and this happened only once during the five-day period.<br>
5. Kitmisto is the only place to have $3$ new cases on Day $2$.<br>
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were $12,12, 5$ and $14$ respectively.</p>
<p>What BEST can be concluded about the number of new cases in Levmisto on Day $3$?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Either $0$ or $1$</li>
<li>Either $2$ or $3$</li>
<li>Exactly $2$</li>
<li>Exactly $3$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9824/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:56 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 18
https://aptitude.gateoverflow.in/9823/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-18" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=11932186261125002027"></p>
<p><strong>Comprehension:</strong><br>
There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either $0,1,2$ or $3$.<br>
The following facts are also known:<br>
1. There was at least one new case in every neighbourhood on Day $1$.<br>
2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.<br>
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day $3$ was exactly one more than that on Day $2$.<br>
4. The maximum number of new cases in a day in Pesmisto was $2$, and this happened only once during the five-day period.<br>
5. Kitmisto is the only place to have $3$ new cases on Day $2$.<br>
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were $12,12, 5$ and $14$ respectively.</p>
<p>On which day(s) did Pesmisto not have any new case?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Both Day $2$ and Day $3$</li>
<li>Only Day $3$</li>
<li>Only Day $2$</li>
<li>Both Day $2$ and Day $4$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9823/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:54 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 19
https://aptitude.gateoverflow.in/9822/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-19" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=6626055656610057603"></p>
<p><strong>Comprehension:</strong><br>
There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either $0,1,2$ or $3$.<br>
The following facts are also known:<br>
1. There was at least one new case in every neighbourhood on Day $1$.<br>
2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.<br>
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day $3$ was exactly one more than that on Day $2$.<br>
4. The maximum number of new cases in a day in Pesmisto was $2$, and this happened only once during the five-day period.<br>
5. Kitmisto is the only place to have $3$ new cases on Day $2$.<br>
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were $12,12, 5$ and $14$ respectively.</p>
<p>Which of the two statements below is/are necessarily false?<br>
Statement $\text{A}$: There were $2$ new cases in Tyhrmisto on Day $3$.<br>
Statement $\text{B}$: There were no new cases in Pesmisto on Day $2$.</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Both Statement $\text{A}$ and Statement $\text{B}$</li>
<li>Statement $\text{B}$ only</li>
<li>Neither Statement $\text{A}$ nor Statement $\text{B}$</li>
<li>Statement $\text{A}$ only</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9822/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:53 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 20
https://aptitude.gateoverflow.in/9821/cat-2022-set-data-interpretation-logical-reasoning-question
<p><img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-20" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=5487979018303305144"></p>
<p><strong>Comprehension:</strong><br>
There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either $0,1,2$ or $3$.<br>
The following facts are also known:<br>
1. There was at least one new case in every neighbourhood on Day $1$.<br>
2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.<br>
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day $3$ was exactly one more than that on Day $2$.<br>
4. The maximum number of new cases in a day in Pesmisto was $2$, and this happened only once during the five-day period.<br>
5. Kitmisto is the only place to have $3$ new cases on Day $2$.<br>
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were $12,12, 5$ and $14$ respectively.</p>
<p>On how many days did Levmisto and Tyhrmisto have the same number of new cases?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4$</li>
<li>$5$</li>
<li>$3$</li>
<li>$2$</li>
</ol>Logical Reasoninghttps://aptitude.gateoverflow.in/9821/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:47 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 1
https://aptitude.gateoverflow.in/9820/cat-2022-set-data-interpretation-logical-reasoning-question
<img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-1" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=7615501473500868403"><p>Comprehension:<br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20,20 to less than 30,30 to less than 40 , and 40 to less than 50 . The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20,20 to less than 30,30 to less than 40 , and 40 to less than 50.<br>
<br>
The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990,2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30 .<br>
SubQuestion No : 1<br>
Q.1 In 2000, what was the ratio of the number of dead males to dead females among those being tracked?<br>
Ans $\times 1.129: 131$<br>
2. $71: 69$<br>
3. $109 ; 107$<br>
$4.41: 43$</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9820/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:40 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 2
https://aptitude.gateoverflow.in/9819/cat-2022-set-data-interpretation-logical-reasoning-question
<img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-2" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=600697289533387932"><p>Comprehension:<br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20,20 to less than 30,30 to less than 40 , and 40 to less than 50 . The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20,20 to less than 30,30 to less than 40 , and 40 to less than 50.<br>
<br>
The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990,2000,2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30.<br>
SubQuestion No : 2<br>
Q.2 How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010 ?<br>
Ans $\times 1,90$<br>
$2.310$<br>
3. 190<br>
4. 110</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9819/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:38 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 4
https://aptitude.gateoverflow.in/9817/cat-2022-set-data-interpretation-logical-reasoning-question
<img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-4" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=44586512590593993"><p>Comprehension:<br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first, The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20,20 to less than 30,30 to less than 40 , and 40 to less than 50 . The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20,20 to less than 30 , 30 to less than 40 , and 40 to less than 50 .<br>
The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990,2000,2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30 .<br>
SubQuestion No : 4<br>
Q.4 How many of the males who were being tracked and who were between 20 and 30 years of age in 1980 died in the period 2000 to 2010 ?<br>
Case Sensitivity: No<br>
Answer Type: Equal<br>
Possible Answar: 40<br>
Given 220<br>
Answer:</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9817/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:35 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 5
https://aptitude.gateoverflow.in/9816/cat-2022-set-data-interpretation-logical-reasoning-question
<img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-5" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=1629082499536397960"><p>Comprehension:<br>
In the following, a year corresponds to $1^{\text {st }}$ of January of that year.<br>
A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first, The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20,20 to less than 30,30 to less than 40 , and 40 to less than 50 . The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20,20 to less than 30 , 30 to less than 40 , and 40 to less than 50 .<br>
The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990,2000,2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30.<br>
SubQuestion No : 5<br>
Q.5 How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60 ?<br>
Case Sensitivity: No<br>
Answer Type: Equal<br>
Possible Answar: 30<br>
Given 120<br>
Answer:</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9816/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:33 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 6
https://aptitude.gateoverflow.in/9815/cat-2022-set-data-interpretation-logical-reasoning-question
<img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-6" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=7685815468678688836"><p>Comprehension:<br>
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restinction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, eech pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹1 or ₹2 in that round. For example, if they chose to bet ₹2, then the player winning the game got ₹2 from the one losing the game.<br>
At the boginning of the tournament, the players had ₹ 10 eech. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹ 10 at the end of a round, as well as every fime, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight round5. For example, Suresh had ₹10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹13 (at the end of Round 5), and the minimum amount he had at the ond of any round was ₹8 (at the end of Round 2). At the end of all other rounds, he must have had either $₹ 9, ₹ 11$, or $₹ 12$.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.<br>
SubQuestion No : 6<br>
Q.6 What BEST can be said about the amount of money that Ritesh had with him at the end of Round 8 ?<br>
Ans 1. Exactly ₹ 6<br>
X. Exactly 25<br>
$\times 3,25$ or 26<br>
$\times, 4,24$ or 25</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9815/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:30 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 7
https://aptitude.gateoverflow.in/9814/cat-2022-set-data-interpretation-logical-reasoning-question
<img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-7" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=2838264129823000108"><p>Comprehension:<br>
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair, The only restriction in the pairing was that the pairs would change in successhe rounds. For example, if Pulak formed a pair with Casim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹1 or ₹2 in that round. For example, if they chose to bet ₹2, then the player winning the game got ₹2 from the one losing the game.<br>
At the boginning of the tournament, the players had ₹10 cech. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹10 at the end of a round, as well as overy time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight round5. For example, Suresh had ₹10 at the end of Rounds 1, 3 , and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹13 (at the end of Round 5), and the minimum amount he had at the ond of any round was ₹ 8 (at the end of Round 2). At the end of all other rounds, he must have had either ₹9, ₹11, or ₹12.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.<br>
SubQuestion No : 7<br>
Q.7 What BEST can be said about the amount of money that Pulak had with him at the end of Round 6 ?<br>
Ans $\times 1$. ₹ 12 or $₹ 13$<br>
$X 2$ ₹ 11 or ₹12<br>
3. Exactly ₹12<br>
$X$ 4. Exactly ₹11</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9814/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:25 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 8
https://aptitude.gateoverflow.in/9813/cat-2022-set-data-interpretation-logical-reasoning-question
<img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-8" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=14603399833766062636"><p>Comprehension:<br>
Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair, The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to par with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹1 or ₹2 in that round. For example, if they chose to bet ₹2, then the player winning the game got ₹2 from the one losing the game.<br>
At the boginning of the tournament, the players had ₹10 each. The following table shows pertial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹ 10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight round5. For example, Suresh had ₹10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹13 (at the end of Round 5), and the minimum amount he had at the ond of any round was ₹ 8 (at the end of Round 2). At the end of all other rounds, he must have had either ₹9, ₹11, or $₹ 12$.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.<br>
\begin{tabular}{|l|c|c|c|c||}<br>
\hline & Pulak & Qasim & Futosh & Suresh \\<br>
\hline Round 1 & & $₹ 8$ & $₹ 10$ & $₹ 10$ \\<br>
\hline Round 2 & ₹13 & $₹ 10$ & & $₹ 8$ \\<br>
\hline Round 3 & & & & $₹ 10$ \\<br>
\hline Round 4 & & & & \\<br>
\hline Round 5 & $₹ 10$ & $₹ 10$ & & $₹ 13$ \\<br>
\hline Round 6 & & & & \\<br>
\hline Round 7 & & $₹ 12$ & $₹ 4$ & \\<br>
\hline \hline Round 8 & $₹ 13$ & & & $₹ 10$ \\<br>
\hline<br>
\end{tabular}<br>
SubQuestion No: 8<br>
Q.8 How much money (in ₹) did Ritesh have at the end of Round 4?<br>
Case Sensitivity. No<br>
Answer Type: Equal<br>
Possble Answer: 6<br>
Given 10<br>
Answ<br>
er :</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9813/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:21 +0000CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 9
https://aptitude.gateoverflow.in/9812/cat-2022-set-data-interpretation-logical-reasoning-question
<img alt="CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question-9" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=9998136861137413227"><p>Comprehension:<br>
Pulak, Qasim, Ritesh, and Suresh participated in a toumament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successhe rounds. For example, if Pulak formed a pair with Casim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, eech pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play. they had to bet either ₹1 or ₹2 in that round. For example, if they chose to bet ₹2, then the player winning the game got ₹2 from the one losing the game.<br>
At the boginning of the tournament, the players had ₹10 eech. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had ₹ 10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had ₹10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was ₹13 (at the end of Round 5), and the minimum amount he had at the ond of any round was ₹8 (at the end of Round 2). At the end of all other rounds, he must have had either $₹ 9, ₹ 11$, or $₹ 12$.<br>
<br>
It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.<br>
SubQuestion No : 9<br>
Q.9 How many games were played with a bet of ₹2?<br>
Case Sensitivity: No<br>
Answer Type: Equal<br>
Possible Answer: 6<br>
Given 8<br>
Answ<br>
er :</p>Logical Reasoninghttps://aptitude.gateoverflow.in/9812/cat-2022-set-data-interpretation-logical-reasoning-questionMon, 27 Feb 2023 13:27:18 +0000