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Recent questions tagged quantitative-aptitude
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121
CAT 2021 Set-1 | Quantitative Aptitude | Question: 20
A circle of diameter $8 \; \text{inches}$ is inscribed in a triangle $\text{ABC}$ where $\angle \text{ABC} = 90^{\circ}.$ If $\text{BC} = 10 \; \text{inches}$ then the area of the triangle in $\text{square inches}$ is
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
247
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cat2021-set1
quantitative-aptitude
geometry
numerical-answer
1
vote
1
answer
122
CAT 2021 Set-1 | Quantitative Aptitude | Question: 21
Onion is sold for $5$ consecutive months at the rate of $\text{Rs}\; 10, 20, 25, 25,$ and $50 \; \text{per kg},$ respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that ... $5 \; \text{months}$ is closest to $18$ $16$ $26$ $20$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
494
views
cat2021-set1
quantitative-aptitude
average
1
vote
1
answer
123
CAT 2021 Set-1 | Quantitative Aptitude | Question: 22
Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price $\text{per gram}$ of chocolate in the large box is $12 \%$ less than that in ... the weight of chocolate in the large box exceeds that in the small box is nearest to $135$ $127$ $144$ $124$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
692
views
cat2021-set1
quantitative-aptitude
percentage
2
votes
1
answer
124
CAT 2020 Set-3 | Question: 51
If $\log_{a} 30 = \text{A}, \log_{a} (5/3) = – \text{B} $ and $\log_{2} a = 1/3,$ then $\log_{3}a $ equals $ \frac{2}{\text{A + B}} \;– 3 $ $ \frac{\text{A + B} - 3}{2} $ $ \frac{2}{\text{A + B} – 3} $ $ \frac{\text{A + B}}{2}\; – 3 $
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
360
views
cat2020-set3
quantitative-aptitude
logarithms
2
votes
2
answers
125
CAT 2020 Set-3 | Question: 52
Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick’s age is $1$ year less than the average age of all three, then Harry’s age, in years, is
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
527
views
cat2020-set3
quantitative-aptitude
ages
numerical-answer
1
vote
1
answer
126
CAT 2020 Set-3 | Question: 53
$\text{A}$ and $\text{B}$ are two railway stations $90 \; \text{km}$ apart. A train leaves $\text{A}$ at $9:00 \; \text{am},$ heading towards $\text{B}$ at a speed of $40 \; \text{km/hr}.$ Another train leaves $\text{B}$ at $10:30 \; \text{am},$ heading towards ... each other at $ 11:45 \; \text{am} $ $ 10:45 \; \text{am} $ $ 11:20 \; \text{am} $ $ 11:00 \; \text{am} $
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
344
views
cat2020-set3
quantitative-aptitude
speed-distance-time
1
vote
1
answer
127
CAT 2020 Set-3 | Question: 54
Let $k$ be a constant. The equations $kx + y= 3$ and $4x + ky= 4$ have a unique solution if and only if $|k| \neq 2$ $|k| = 2$ $k \neq 2$ $k= 2$
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
331
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cat2020-set3
quantitative-aptitude
system-of-equations
1
vote
1
answer
128
CAT 2020 Set-3 | Question: 55
If $x_{1} = \;– 1$ and $x_{m} = x_{m+1} + (m + 1)$ for every positive integer $m, $ then $x_{100}$ equals $ – 5151 $ $ – 5150 $ $ – 5051 $ $ – 5050 $
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
285
views
cat2020-set3
quantitative-aptitude
algebra
0
votes
0
answers
129
CAT 2020 Set-3 | Question: 56
Vimla starts for office every day at $9 \; \text{am}$ and reaches exactly on time if she drives at her usual speed of $40 \; \text{km/hr}.$ She is late by $6 \; \text{minutes}$ if she drives at $35 \; \text{km/hr}.$ One day, she covers ... speed, in $\text{km/hr},$ at which she should drive the remaining distance to reach office exactly on time is $29$ $27$ $28$ $26$
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
177
views
cat2020-set3
quantitative-aptitude
speed-distance-time
0
votes
0
answers
130
CAT 2020 Set-3 | Question: 57
A man buys $35 \; \text{kg}$ of sugar and sets a marked price in order to make a $20\%$ profit. He sells $5 \; \text{kg}$ at this price, and $15 \; \text{kg}$ at a $10\%$ discount. Accidentally, $3 \; \text{kg}$ of sugar is wasted. He sells ... raising the marked price by $p$ percent so as to make an overall profit of $15\%.$ Then $p$ is nearest to $31$ $22$ $35$ $25$
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
213
views
cat2020-set3
quantitative-aptitude
profit-loss
1
vote
1
answer
131
CAT 2020 Set-3 | Question: 58
If $ f(x+y) = f(x) f(y) $ and $ f(5) = 4,$ then $ f(10) – f(-10) $ is equal to $0$ $15.9375$ $3$ $14.0625$
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
279
views
cat2020-set3
quantitative-aptitude
functions
1
vote
1
answer
132
CAT 2020 Set-3 | Question: 59
If $\text{a,b,c}$ are non-zero and $14^{a} = 36^{b} = 84^{c},$ then $6b \left( \frac{1}{c} \;– \frac{1}{a} \right)$ is equal to
soujanyareddy13
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
374
views
cat2020-set3
quantitative-aptitude
algebra
numerical-answer
1
vote
1
answer
133
CAT 2020 Set-3 | Question: 60
A contractor agreed to construct a $6 \; \text{km}$ road in $200 \; \text{days}.$ He employed $140$ persons for the work. After $60 \; \text{days},$ he realized that only $1.5 \; \text{km}$ road has been completed. How many additional people would he need to employ in order to finish the work exactly on time $?$
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
289
views
cat2020-set3
quantitative-aptitude
work-time
numerical-answer
1
vote
1
answer
134
CAT 2020 Set-3 | Question: 61
Let $\text{m}$ and $\text{n}$ be positive integers, If $x^{2} + mx + 2n = 0$ and $x^{2} + 2nx + m = 0$ have real roots, then the smallest possible value of $m + n$ is $7$ $8$ $5$ $6$
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
297
views
cat2020-set3
quantitative-aptitude
quadratic-equations
1
vote
1
answer
135
CAT 2020 Set-3 | Question: 62
A person invested a certain amount of money at $10\%$ annual interest, compounded half-yearly. After one and a half years, the interest and principal together became $\text{Rs} \; 18522.$ The amount, in rupees, that the person had invested is
soujanyareddy13
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
272
views
cat2020-set3
quantitative-aptitude
simple-compound-interest
numerical-answer
0
votes
0
answers
136
CAT 2020 Set-3 | Question: 63
Anil, Sunil, and Ravi run along a circular path of length $3 \; \text{km},$ starting from the same point at the same time, and going in the clockwise direction. If they run at speed of $15 \; \text{km/hr}, 10 \; \text{km/hr},$ ... will Ravi have run when Anil and Sunil meet again for the first time at the starting point $?$ $4.2$ $5.2$ $4.8$ $4.6$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
115
views
cat2020-set3
quantitative-aptitude
speed-distance-time
0
votes
0
answers
137
CAT 2020 Set-3 | Question: 64
The area, in $\text{sq. units},$ enclosed by the lines $x = 2, y = |x – 2| + 4,$ the X-axis and the Y-axis is equal to $8$ $12$ $10$ $6$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
212
views
cat2020-set3
quantitative-aptitude
absolute-value
area
0
votes
0
answers
138
CAT 2020 Set-3 | Question: 65
The vertices of a triangle are $(0,0), (4,0)$ and $(3,9).$ The area of the circle passing through these three points is $\frac{14 \pi}{3}$ $\frac{12 \pi}{5}$ $\frac{123 \pi}{7}$ $\frac{205 \pi}{9}$
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
239
views
cat2020-set3
quantitative-aptitude
geometry
cartesian-coordinates
0
votes
0
answers
139
CAT 2020 Set-3 | Question: 66
How many integers in the set $\{ 100, 101, 102, \dots, 999\}$ have at least one digit repeated $?$
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
210
views
cat2020-set3
quantitative-aptitude
number-systems
numerical-answer
0
votes
0
answers
140
CAT 2020 Set-3 | Question: 67
Let $\text{N}, x$ and $y$ be positive integers such that $N = x + y, 2 < x < 10$ and $14 < y < 23.$ If $\text{N} > 25,$ then how many distinct values are possible for $\text{N} ?$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
166
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cat2020-set3
quantitative-aptitude
number-systems
numerical-answer
0
votes
0
answers
141
CAT 2020 Set-3 | Question: 68
The points $(2,1)$ and $( – 3, – 4)$ are opposite vertices of a parallelogram. If the other two vertices lie on the line $x + 9y + c = 0,$ then $\text{c}$ is $12$ $14$ $13$ $15$
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
158
views
cat2020-set3
quantitative-aptitude
geometry
cartesian-coordinates
0
votes
0
answers
142
CAT 2020 Set-3 | Question: 69
How many pairs $(a,b)$ of positive integers are there such that $a \leq b$ and $ab = 4^{2017} \; ?$ $2017$ $2019$ $2020$ $2018$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
123
views
cat2020-set3
quantitative-aptitude
algebra
0
votes
0
answers
143
CAT 2020 Set-3 | Question: 70
In a trapezium $\text{ABCD},\; \text{AB}$ is parallel to $\text{DC}, \; \text{BC}$ is perpendicular to $\text{DC}$ and $\angle \text{BAD} = 45^{\circ}.$ If $\text{DC} = 5 \; \text{cm}, \; \text{BC} = 4 \; \text{cm},$ the area of the trapezium in $\text{sq. cm}$ is
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
163
views
cat2020-set3
quantitative-aptitude
geometry
numerical-answer
2
votes
1
answer
144
CAT 2020 Set-3 | Question: 71
How many of the integers $1,2, \dots, 120,$ are divisible by none of $2,5$ and $7 ?$ $40$ $42$ $43$ $41$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
312
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cat2020-set3
quantitative-aptitude
number-systems
0
votes
0
answers
145
CAT 2020 Set-3 | Question: 72
Two alcohol solutions, $\text{A}$ and $\text{B},$ are mixed in the proportion $1:3$ by volume. The volume of the mixture is then doubled by adding solution $\text{A}$ such that the resulting mixture has $72\%$ alcohol. If solution $\text{A}$ has $60\%$ alcohol, then the percentage of alcohol in solution $\text{B}$ is $94\%$ $92\%$ $90\%$ $89\%$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
181
views
cat2020-set3
quantitative-aptitude
alligation-mixture
2
votes
1
answer
146
CAT 2020 Set-3 | Question: 73
$\dfrac{2 \times 4 \times 8 \times 16} {(\log_{2} 4)^{2} (\log_{4} 8)^{3} (\log_{8} 16)^{4}}$ equals
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in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
318
views
cat2020-set3
quantitative-aptitude
logarithms
numerical-answer
0
votes
0
answers
147
CAT 2020 Set-3 | Question: 74
A batsman played $n + 2$ innings and got out on all occasions. His average score in these $n + 2$ innings was $29$ runs and he scored $38$ and $15$ runs in the last two innings. The batsman scored less than $38$ runs in each of the first $n$ innings. ... average score was $30$ runs and lowest score was $x$ runs. The smallest possible value of $x$ is $2$ $3$ $4$ $1$
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Quantitative Aptitude
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soujanyareddy13
2.7k
points
244
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cat2020-set3
quantitative-aptitude
average
2
votes
1
answer
148
CAT 2020 Set-3 | Question: 75
In the final examination, Bishnu scored $52\%$ and Asha scored $64\%.$ The marks obtained by Bishnu is $23$ less, and that by Asha is $34$ more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored $84\%,$ is $439$ $399$ $357$ $417$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
364
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cat2020-set3
quantitative-aptitude
percentage
0
votes
0
answers
149
CAT 2020 Set-3 | Question: 76
Let $\text{m}$ and $\text{n}$ be natural numbers such that $\text{n}$ is even and $0.2 < \frac{m}{20}, \frac{n}{m}, \frac{n}{11} < 0 \cdot 5.$ Then $m – 2n$ equals $3$ $4$ $1$ $2$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
208
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cat2020-set3
quantitative-aptitude
inequalities
2
votes
1
answer
150
CAT 2020 Set-2 | Question: 51
The sum of the perimeters of an equilateral triangle and a rectangle is $90 \; \text{cm}.$ The area, $\text{T},$ of the triangle and the area, $\text{R},$ of the rectangle, both in $\text{sq cm},$ satisfy the ... of the rectangle are in the ratio $1:3,$ then the length, in cm, of the longer side of the rectangle, is $24$ $27$ $21$ $18$
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Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
357
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cat2020-set2
quantitative-aptitude
geometry
2
votes
1
answer
151
CAT 2020 Set-2 | Question: 52
In May, John bought the same amount of rice and the same amount of wheat as he had bought in April, but spent $₹150$ more due to price increase of rice and wheat by $20\%$ and $12\%,$ respectively. If John had spent $₹450$ on rice in April, then how much did he spend on wheat in May $?$ $₹580$ $₹570$ $₹560$ $₹590$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
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365
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cat2020-set2
quantitative-aptitude
percentage
2
votes
1
answer
152
CAT 2020 Set-2 | Question: 53
In a car race, car $\text{A}$ beats car $\text{B}$ by $45 \; \text{km},$ car $\text{B}$ beats car $\text{C}$ by $50 \; \text{km},$ and car $\text{A}$ beats car $\text{C}$ by $90\;\text{km}.$ The distance $\text{(in km)}$ over which the race has been conducted is $500$ $475$ $550$ $450$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
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321
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cat2020-set2
quantitative-aptitude
speed-distance-time
1
vote
1
answer
153
CAT 2020 Set-2 | Question: 54
John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone $?$
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Quantitative Aptitude
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331
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cat2020-set2
quantitative-aptitude
work-time
numerical-answer
2
votes
1
answer
154
CAT 2020 Set-2 | Question: 55
Let the $\text{m-th}$ and $\text{n-th}$ terms of a geometric progression be $\frac{3}{4}$ and $12,$ respectively, where $\text{m < n}.$ If the common ratio of the progression is an integer $\textsf{r},$ then the smallest possible value of $\textsf{r+n-m}$ is $ - 2$ $2$ $6$ $ – 4$
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
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395
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cat2020-set2
quantitative-aptitude
geometric-progression
2
votes
1
answer
155
CAT 2020 Set-2 | Question: 56
If $\textsf{x}$ and $\textsf{y}$ are positive real numbers satisfying $\textsf{x+y = 102},$ then the minimum possible value of $\textsf{2601} \left( 1 + \frac{1}{\textsf{x}} \right) \left( 1 + \frac{1}{\textsf{y}} \right)$ is
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Quantitative Aptitude
Sep 17, 2021
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soujanyareddy13
2.7k
points
298
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cat2020-set2
quantitative-aptitude
algebra
numerical-answer
3
votes
1
answer
156
CAT 2020 Set-2 | Question: 57
The value of $\log_{a} \left( \frac {a}{b} \right) + \log_{b} \left( \frac{b}{a} \right),$ for $ 1 < a \leq b$ cannot be equal to $ – 0.5$ $1$ $0$ $ – 1$
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Quantitative Aptitude
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soujanyareddy13
2.7k
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357
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cat2020-set2
quantitative-aptitude
logarithms
0
votes
0
answers
157
CAT 2020 Set-2 | Question: 58
In how many ways can a pair of integers $\textsf{(x , a)}$ be chosen such that $x^{2} – 2 |x| + |a-2| = 0 ?$ $4$ $5$ $6$ $7$
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Quantitative Aptitude
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soujanyareddy13
2.7k
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216
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cat2020-set2
quantitative-aptitude
quadratic-equations
3
votes
1
answer
158
CAT 2020 Set-2 | Question: 59
Students in a college have to choose at least two subjects from chemistry, mathematics, and physics. The number of students choosing all three subjects is $18,$ choosing mathematics as one of their subjects is $23$ and choosing physics as one of their ... smallest possible number of students who could choose chemistry as one of their subjects is $20$ $22$ $19$ $21$
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soujanyareddy13
2.7k
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436
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cat2020-set2
quantitative-aptitude
venn-diagrams
2
votes
1
answer
159
CAT 2020 Set-2 | Question: 60
For real $\textsf{x}$ , the maximum possible value of $ \frac{x}{\sqrt{1+x^{4}}}$ is $ \frac{1}{\sqrt{3}}$ $1$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$
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Quantitative Aptitude
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soujanyareddy13
2.7k
points
336
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cat2020-set2
quantitative-aptitude
algebra
2
votes
1
answer
160
CAT 2020 Set-2 | Question: 67
If $\textsf{x}$ and $\textsf{y}$ are non-negative integers such that $\textsf{x+9=z, y+1=z}$ and $\textsf{x+y<z+5},$ then the maximum possible value of $\textsf{2x+y}$ equals
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Quantitative Aptitude
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270
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cat2020-set2
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numerical-answer
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