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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
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Logical Reasoning
Jan 20
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2.7k
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104
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cat2021-set2
logical-reasoning
logic-puzzles
0
votes
0
answers
42
CAT 2021 Set-2 | Data Interpretation and Logical Reasoning | Question: 18
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Logical Reasoning
Jan 20
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soujanyareddy13
2.7k
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89
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cat2021-set2
logical-reasoning
logic-puzzles
0
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0
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43
CAT 2021 Set-2 | Data Interpretation and Logical Reasoning | Question: 19
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Logical Reasoning
Jan 20
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soujanyareddy13
2.7k
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68
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cat2021-set2
logical-reasoning
logic-puzzles
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44
CAT 2021 Set-2 | Data Interpretation and Logical Reasoning | Question: 20
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Logical Reasoning
Jan 20
by
soujanyareddy13
2.7k
points
55
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cat2021-set2
logical-reasoning
logic-puzzles
1
vote
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 $7$ $8$ $6$ $4$
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Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
93
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cat2021-set2
quantitative-aptitude
system-of-equations
1
vote
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 $2400$ $2200$ $2000$ $1800$
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
480
views
cat2021-set2
quantitative-aptitude
profit-loss
1
vote
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 $\sqrt{13} + \sqrt{12}$ $\sqrt{37} + \sqrt{13}$ $\frac{\sqrt{37} + \sqrt{13}}{2}$ $\frac{\sqrt{13} + \sqrt{12}}{2}$
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
141
views
cat2021-set2
quantitative-aptitude
geometry
1
vote
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
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
402
views
cat2021-set2
quantitative-aptitude
permutation-combination
numerical-answer
1
vote
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 $2$ $-2$ $200$ $-200$
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Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
138
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cat2021-set2
quantitative-aptitude
sequences&series
1
vote
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 $9 < x < 14$ $6 < x < 11$ $7 < x < 12$ $10 < x < 15$
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
156
views
cat2021-set2
quantitative-aptitude
absolute-value
1
vote
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
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
348
views
cat2021-set2
quantitative-aptitude
percentage
numerical-answer
1
vote
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 $25$ $30$ $40$ $20$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
168
views
cat2021-set2
quantitative-aptitude
geometry
1
vote
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 ... over the two period is $35 \%,$ then the percentage of loss in the first year is $15$ $10$ $70$ $5$
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
565
views
cat2021-set2
quantitative-aptitude
percentage
1
vote
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 $12$ $8$ $14$ $10$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
139
views
cat2021-set2
quantitative-aptitude
arithmetic-progression
1
vote
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
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
490
views
cat2021-set2
quantitative-aptitude
average
numerical-answer
1
vote
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
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
325
views
cat2021-set2
quantitative-aptitude
inequalities
numerical-answer
1
vote
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 $9150$ $9100$ $9000$ $9200$
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
1.3k
views
cat2021-set2
quantitative-aptitude
work-cost
1
vote
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
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
219
views
cat2021-set2
quantitative-aptitude
geometry
numerical-answer
1
vote
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]$
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asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
110
views
cat2021-set2
quantitative-aptitude
functions
1
vote
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 $2$ $4$ $1$ $3$
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
87
views
cat2021-set2
quantitative-aptitude
quadratic-equations
1
vote
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 $2:3$ $2:1$ $3:2$ $5:3$
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
230
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cat2021-set2
quantitative-aptitude
speed-distance-time
1
vote
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 at ... $50 \%,$ is $675$ $653$ $692$ $688$
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asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
406
views
cat2021-set2
quadratic-equations
profit-loss
1
vote
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
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
98
views
cat2021-set2
quantitative-aptitude
logarithms
numerical-answer
1
vote
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 $140$ $264$ $144$ $120$
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Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
179
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cat2021-set2
quantitative-aptitude
work-time
pipes-cistern
1
vote
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
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
111
views
cat2021-set2
quantitative-aptitude
alligation-mixture
numerical-answer
1
vote
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
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
118
views
cat2021-set2
quantitative-aptitude
number-systems
numerical-answer
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