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Recent questions tagged cat2021-set2
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41
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...
soujanyareddy13
2.7k
points
276
views
soujanyareddy13
asked
Jan 20, 2022
Logical Reasoning
cat2021-set2
logical-reasoning
logic-puzzles
+
–
0
votes
0
answers
42
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...
soujanyareddy13
2.7k
points
322
views
soujanyareddy13
asked
Jan 20, 2022
Logical Reasoning
cat2021-set2
logical-reasoning
logic-puzzles
+
–
0
votes
0
answers
43
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...
soujanyareddy13
2.7k
points
194
views
soujanyareddy13
asked
Jan 20, 2022
Logical Reasoning
cat2021-set2
logical-reasoning
logic-puzzles
+
–
0
votes
0
answers
44
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...
soujanyareddy13
2.7k
points
251
views
soujanyareddy13
asked
Jan 20, 2022
Logical Reasoning
cat2021-set2
logical-reasoning
logic-puzzles
+
–
1
votes
1
answer
45
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 $7$ $8$ $6$ $4$
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$$4$
soujanyareddy13
2.7k
points
419
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
system-of-equations
+
–
1
votes
1
answer
46
CAT 2021 Set-2 | Quantitative Aptitude | Question: 2
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is $70 \%.$ His share of profit decreases by ₹$ \; 420$ ... $17 \%.$ The amount, $\text{in INR},$ invested by Bobby is $2400$ $2200$ $2000$ $1800$
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil’s share of investment is $70 \%.$ His...
soujanyareddy13
2.7k
points
1.3k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
profit-loss
+
–
1
votes
1
answer
47
CAT 2021 Set-2 | Quantitative Aptitude | Question: 3
If a rhombus has area $12 \; \text{sq cm}$ and side length $5 \; \text{cm},$ then the length, $\text{in cm},$ of its longer diagonal is $\sqrt{13} + \sqrt{12}$ $\sqrt{37} + \sqrt{13}$ $\frac{\sqrt{37} + \sqrt{13}}{2}$ $\frac{\sqrt{13} + \sqrt{12}}{2}$
If a rhombus has area $12 \; \text{sq cm}$ and side length $5 \; \text{cm},$ then the length, $\text{in cm},$ of its longer diagonal is$\sqrt{13} + \sqrt{12}$$\sqrt{37} +...
soujanyareddy13
2.7k
points
511
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
geometry
+
–
1
votes
1
answer
48
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 balloons and one pencil, is
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...
soujanyareddy13
2.7k
points
1.3k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
permutation-combination
numerical-answer
+
–
1
votes
1
answer
49
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 $x_{49} + x_{50}$ equals $2$ $-2$ $200$ $-200$
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...
soujanyareddy13
2.7k
points
449
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
sequences&series
+
–
1
votes
1
answer
50
CAT 2021 Set-2 | Quantitative Aptitude | Question: 6
For a real number $x$ the condition $|3x – 20| + |3x – 40| = 20$ necessarily holds if $9 < x < 14$ $6 < x < 11$ $7 < x < 12$ $10 < x < 15$
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$
soujanyareddy13
2.7k
points
681
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
absolute-value
+
–
1
votes
1
answer
51
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 black balls are metallic, then the number of non-metallic balls in the box is
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...
soujanyareddy13
2.7k
points
1.1k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
percentage
numerical-answer
+
–
1
votes
1
answer
52
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 $\text{ABPD}$ is a parallelogram. If the difference between the areas of the ... $\text{in sq cm},$ of the trapezium $\text{ABCD}$ is $25$ $30$ $40$ $20$
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 $\...
soujanyareddy13
2.7k
points
661
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
geometry
+
–
2
votes
1
answer
53
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 and the percentage of growth in the second year was five times the percentage of ... the two period is $35 \%,$ then the percentage of loss in the first year is $15$ $10$ $70$ $5$
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, gre...
soujanyareddy13
2.7k
points
1.5k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
percentage
+
–
1
votes
1
answer
54
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$
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$
soujanyareddy13
2.7k
points
483
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
arithmetic-progression
+
–
1
votes
1
answer
55
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 $10$ matches, his overall average will be $0.15$ goals per match. On ... the next $10$ matches, his overall average will be $0.2$ goals per match. The number of matches he has played is
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...
soujanyareddy13
2.7k
points
1.5k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
average
numerical-answer
+
–
1
votes
1
answer
56
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
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
soujanyareddy13
2.7k
points
926
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
inequalities
numerical-answer
+
–
1
votes
1
answer
57
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 him. Together, they complete the painting in $14$ more days. If ... then the share of Charu, $\text{in INR},$ proportionate to the work done by him, is $9150$ $9100$ $9000$ $9200$
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...
soujanyareddy13
2.7k
points
2.5k
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
work-cost
+
–
1
votes
1
answer
58
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 $\text{AE}$ : $\text{CE} = 2 : 3.$ If the area of the triangle $\text{ADE}$ is $8 \; \text{sq cm},$ then the area of the triangle $\text{ABC, in sq cm},$ is
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 $...
soujanyareddy13
2.7k
points
744
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
geometry
numerical-answer
+
–
1
votes
1
answer
59
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}, \frac{1}{2} \right)$ $ \left[\frac{3}{7}, \frac{8}{9} \right)$ $ \left[\frac{4}{9}, \frac{8}{9} \right]$
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...
soujanyareddy13
2.7k
points
387
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
functions
+
–
1
votes
1
answer
60
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 $|a|$ equals $2$ $4$ $1$ $3$
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 $|a|$ eq...
soujanyareddy13
2.7k
points
395
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
quadratic-equations
+
–
1
votes
1
answer
61
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 $\text{B} \; 46 \; \text{seconds}$ after the front ends of the trains had crossed each ... ratio of length of train $\text{A}$ to that of train $\text{B}$ is $2:3$ $2:1$ $3:2$ $5:3$
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 $\text...
soujanyareddy13
2.7k
points
716
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
speed-distance-time
+
–
1
votes
1
answer
62
CAT 2021 Set-2 | Quantitative Aptitude | Question: 18
A person buys tea of three different qualities at ₹$ \; 800,$ ₹ $\; 500,$ and ₹$ \; 300 \; \text{per kg},$ respectively, and the amounts bought are in the proportion $2:3:5.$ She mixes all the tea and sells one-sixth of the mixture ... $50 \%,$ is $675$ $653$ $692$ $688$
A person buys tea of three different qualities at ₹$ \; 800,$ ₹ $\; 500,$ and ₹$ \; 300 \; \text{per kg},$ respectively, and the amounts bought are in the proportio...
soujanyareddy13
2.7k
points
875
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quadratic-equations
profit-loss
+
–
1
votes
1
answer
63
CAT 2021 Set-2 | Quantitative Aptitude | Question: 19
If $\log_{2} [3+ \log_{3} \{ 4+ \log_{4} (x-1) \}] – 2 = 0$ then $4x$ equals
If $\log_{2} [3+ \log_{3} \{ 4+ \log_{4} (x-1) \}] – 2 = 0$ then $4x$ equals
soujanyareddy13
2.7k
points
467
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
logarithms
numerical-answer
+
–
1
votes
1
answer
64
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 $2 \; \text{pm}$ and pipe $\text{B}$ ... If pipe $\text{B}$ is not opened at all, then the time, in minutes, taken to fill the tank is $140$ $264$ $144$ $120$
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 $...
soujanyareddy13
2.7k
points
890
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
work-time
pipes-cistern
+
–
1
votes
1
answer
65
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 replaced with water. If the volumes of milk and water in the container are now in the ratio of $16:9,$ then the capacity of the container, in $\text{litres},$ is
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...
soujanyareddy13
2.7k
points
471
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
alligation-mixture
numerical-answer
+
–
1
votes
1
answer
66
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 $15,$ and the tens place digit is $4$ more than the units place digit. Then the highest possible $4$-digit number satisfying the above conditions is
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...
soujanyareddy13
2.7k
points
518
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
number-systems
numerical-answer
+
–
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