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Recent questions tagged cat2022-set2
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 1
Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio $5: 8: 10$. They accept a job which they can finish in $4$ days if they all work together for $8$ hours per day. However, Anu and ... $6$ hours $40$ minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 2
Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest per annum. Then, the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 3
Regular polygons $A$ and $B$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $B$ equals
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 4
The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 5
The average of a non-decreasing sequence of $N$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average becomes $400$ . Then, the number of possible values of $a_{1}$ is
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 6
If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$, then the average of the maximum and minimum possible values of $(a+b)$ is $3.5$ $4.5$ $3$ $4$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 7
The length of each side of an equilateral triangle $A B C$ is $3 \mathrm{~cm}$. Let $D$ be a point on $B C$ such that the area of triangle $A D C$ is half the area of triangle $A B D$. Then the length of $A D$, in $\mathrm{cm}$, is $\sqrt{7}$ $\sqrt{6}$ $\sqrt{8}$ $\sqrt{5}$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 8
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is $1480$ $1440$ $1200$ $1420$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 9
Let $f(x)$ be a quadratic polynomial in $x$ such that $f(x) \geq 0$ for all real numbers $x$. If $f(2)=0$ and $f(4)=6$, then $f(-2)$ is equal to $36$ $12$ $24$ $6$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 10
Manu earns ₹$4000$ per month and wants to save an average of ₹$550$ per month in a year. In the first nine months, his monthly expense was ₹$3500$, and he foresees that, tenth month onward, his monthly expense will increase to ... savings target, his monthly earnings, in rupees, from the tenth month onward should be $4350$ $4400$ $4300$ $4200$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 11
In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the other three candidates received the remaining casted votes ... candidate with the second highest votes, then the number of registered voters was $62800$ $50240$ $40192$ $60288$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 12
On day one, there are $100$ particles in a laboratory experiment. On day $n$, where $n \geq 2$, one out of every $n$ particles produces another particle. If the total number of particles in the laboratory experiment increases to $1000$ on day $\mathrm{m}$, then $\mathrm{m}$ equals $19$ $17$ $16$ $18$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 13
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred ... sugar syrup and milk in the second container is $6: 5$ $5: 6$ $4: 5$ $5: 4$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 14
Five students, including Amit, appear for an examination in which possible marks are integers between $0$ and $50$ , both inclusive. The average marks for all the students is $38$ and exactly three students got more than $32$. If no ... students, then the difference between the highest and lowest possible marks of Amit is $22$ $20$ $21$ $24$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 15
Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are $60 \mathrm{~km}$ apart. If the speed of one of the ships is $6 \mathrm{~km}$ per hour more than the other one, then the speed, in km per hour, of the slower ship is $24$ $18$ $20$ $12$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 16
For some natural number $n$, assume that $(15,000) !$ is divisible by $(n !) !$. The largest possible value of $n$ is $5$ $4$ $6$ $7$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 17
Suppose for all integers $x$, there are two functions $f$ and $g$ such that $f(x)+$ $f(x-1)-1=0$ and $g(x)=x^{2}$. If $f\left(x^{2}-x\right)=5$, then the value of the sum $f(g(5))+g(f(5))$ is
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 18
In triangle $A B C$, altitudes $A D$ and $B E$ are drawn to the corresponding bases. If $\angle B A C=45^{\circ}$ and $\angle A B C=\theta$, then $\frac{A D}{B E}$ equals $\sqrt{2} \cos \theta$ $1$ $\sqrt{2} \sin \theta$ $\frac{(\sin +\cos )}{\sqrt{2}}$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 19
The number of integer solutions of the equation $\left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1$ is
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 20
Let $r$ and $c$ be real numbers. If $r$ and $-r$ are roots of $5 x^{3}+c x^{2}-10 x+9=0$, then $c$ equals $4$ $-4$ $-\frac{9}{2}$ $\frac{9}{2}$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 21
Consider the arithmetic progression $3,7,11, \ldots$ and let $A_{n}$ denote the sum of the first $\mathrm{n}$ terms of this progression. Then the value of $1^{25}, A$ is $442$ $404$ $455$ $415$
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 22
In an examination, there were $75$ questions. $3$ marks were awarded for each correct answer, $1$ mark was deducted for each wrong answer and $1$ mark was awarded for each unattempted question. Rayan scored a total ... the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 1
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 2
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 3
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 4
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 5
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 6
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 7
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 8
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 9
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 10
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 11
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 12
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 13
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 14
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 15
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 16
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 17
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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 18
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