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Recent questions tagged cat2021-set2

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CAT 2021 Set-2 | Data Interpretation and Logical Reasoning | Question: 11
The game of Chango is a game where two people play against each other, one of them wins and the other loses, i.e., there are no drawn Chango games. $12$ players participa...
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CAT 2021 Set-2 | Data Interpretation and Logical Reasoning | Question: 18
Ten objects $\text{o1, o2,} \dots, \text{o10}$ were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactl...
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CAT 2021 Set-2 | Data Interpretation and Logical Reasoning | Question: 19
Ten objects $\text{o1, o2,} \dots, \text{o10}$ were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactl...
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CAT 2021 Set-2 | Data Interpretation and Logical Reasoning | Question: 20
Ten objects $\text{o1, o2,} \dots, \text{o10}$ were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactl...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 1
Consider the pair of equations: $x^{2} – xy – x = 22$ and $y^{2} – xy + y = 34.$ If $x>y,$ then $x – y$ equals$7$$8$$6$$4$
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 2
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil’s share of investment is $70 \%.$ His s...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 3
If a rhombus has area $12 \; \text{sq cm}$ and side length $5 \; \text{cm},$ then the length, $\text{in cm},$ of its longer diagonal is$\sqrt{13} + \sqrt{12}$$\sqrt{37} +...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 4
The number of ways of distributing $15$ identical balloons, $6$ identical pencils and $3$ identical erasers among $3$ children, such that each child gets at least four ba...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 5
For a sequence of real numbers $x_{1}, x_{2}, \dots , x_{n},$ if $x_{1} – x_{2} + x_{3} – \dots + (-1)^{n+1} x_{n} = n^{2} + 2n$ for all natural numbers $n,$ then the sum...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 6
For a real number $x$ the condition $|3x – 20| + |3x – 40| = 20$ necessarily holds if$9 < x < 14$$6 < x < 11$$7 < x < 12$$10 < x < 15$
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 7
A box has $450$ balls, each either white or black, there being as many metallic white balls as metallic black balls. If $40 \%$ of the white balls and $50 \%$ of the blac...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 8
The sides $\text{AB}$ and $\text{CD}$ of a trapezium $\text{ABCD}$ are parallel, with $\text{AB}$ being the smaller side. $\text{P}$ is the midpoint of $\text{CD}$ and $\...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 9
Raj invested ₹$10000$ in a fund. At the end of first year, he incurred a loss but his balance was more than ₹$5000.$ This balance, when invested for another year, grew an...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 10
Three positive integers $x,y$ and $z$ are in arithmetic progression. If $y – x 2$ and $xyz = 5(x+y+z),$ then $z-x$ equals$12$$8$$14$$10$
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 11
In a football tournament, a player has played a certain number of matches and $10$ more matches are to be played. If he scores a total of one goal over the next $10$ matc...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 12
For all possible integers $n$ satisfying $2.25 \leq 2 + 2^{n+2} \leq 202,$ the number of integer values of $3 + 3^{n+1}$ is
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 13
Anil can paint a house in $60 \; \text{days}$ while Bimal can paint it in $84 \; \text{days}.$ Anil starts painting and after $10 \; \text{days},$ Bimal and Charu join hi...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 14
Let $\text{D}$ and $\text{E}$ be points on sides $\text{AB}$ and $\text{AC},$ respectively, of a triangle $\text{ABC},$ such that $\text{AD}$ : $\text{BD} = 2 : 1$ and $...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 15
For all real values of $x,$ the range of the function $f(x) = \dfrac{x^{2} + 2x + 4}{2x^{2} + 4x + 9}$ is$ \left(\frac{3}{7}, \frac{1}{2} \right)$$ \left[\frac{3}{7}, \fr...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 16
Suppose one of the roots of the equation $ax^{2} – bx + c = 0$ is $2 + \sqrt{3},$ where $a, b$ and $c$ are rational numbers and $a \neq 0.$ If $b = c^{3}$ then $|a|$ equa...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 17
Two trains $\text{A}$ and $\text{B}$ were moving in opposite directions, their speeds being in the ratio $5:3.$ The front end of $\text{A}$ crossed the rear end of $\text...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 18
A person buys tea of three different qualities at ₹$ \; 800,$ ₹ $\; 500,$ and ₹$ \; 300 \; \text{per kg},$ respectively, and the amounts bought are in the proportion $2:3...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 19
If $\log_{2} [3+ \log_{3} \{ 4+ \log_{4} (x-1) \}] – 2 = 0$ then $4x$ equals
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 20
Two pipes $\text{A}$ and $\text{B}$ are attached to an empty water tank. Pipe $\text{A}$ fills the tank while pipe $\text{B}$ drains it. If pipe $\text{A}$ is opened at $...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 21
From a container filled with milk, $9 \; \text{litres}$ of milk are drawn and replaced with water. Next, from the same container, $9 \; \text{litres}$ are drawn and again...
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 22
For a $4$-digit number, the sum of its digits in the thousands, hundreds and tens places is $14,$ the sum of its digits in the hundreds, tens and units places is $15,$ an...
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