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Recent questions tagged quantitative-aptitude
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81
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, 2022
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2.7k
points
176
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cat2021-set2
quantitative-aptitude
system-of-equations
1
vote
1
answer
82
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 $2400$ $2200$ $2000$ $1800$
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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
685
views
cat2021-set2
quantitative-aptitude
profit-loss
1
vote
1
answer
83
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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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
234
views
cat2021-set2
quantitative-aptitude
geometry
1
vote
1
answer
84
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
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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
660
views
cat2021-set2
quantitative-aptitude
permutation-combination
numerical-answer
1
vote
1
answer
85
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, 2022
by
soujanyareddy13
2.7k
points
240
views
cat2021-set2
quantitative-aptitude
sequences&series
1
vote
1
answer
86
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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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
297
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cat2021-set2
quantitative-aptitude
absolute-value
1
vote
1
answer
87
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
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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
537
views
cat2021-set2
quantitative-aptitude
percentage
numerical-answer
1
vote
1
answer
88
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 $25$ $30$ $40$ $20$
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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
297
views
cat2021-set2
quantitative-aptitude
geometry
1
vote
1
answer
89
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 $15$ $10$ $70$ $5$
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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
783
views
cat2021-set2
quantitative-aptitude
percentage
1
vote
1
answer
90
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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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
200
views
cat2021-set2
quantitative-aptitude
arithmetic-progression
1
vote
1
answer
91
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, 2022
by
soujanyareddy13
2.7k
points
731
views
cat2021-set2
quantitative-aptitude
average
numerical-answer
1
vote
1
answer
92
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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in
Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
478
views
cat2021-set2
quantitative-aptitude
inequalities
numerical-answer
1
vote
1
answer
93
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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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
1.6k
views
cat2021-set2
quantitative-aptitude
work-cost
1
vote
1
answer
94
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
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in
Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
335
views
cat2021-set2
quantitative-aptitude
geometry
numerical-answer
1
vote
1
answer
95
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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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
184
views
cat2021-set2
quantitative-aptitude
functions
1
vote
1
answer
96
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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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
170
views
cat2021-set2
quantitative-aptitude
quadratic-equations
1
vote
1
answer
97
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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Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
337
views
cat2021-set2
quantitative-aptitude
speed-distance-time
1
vote
1
answer
98
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, 2022
by
soujanyareddy13
2.7k
points
199
views
cat2021-set2
quantitative-aptitude
logarithms
numerical-answer
1
vote
1
answer
99
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, 2022
by
soujanyareddy13
2.7k
points
373
views
cat2021-set2
quantitative-aptitude
work-time
pipes-cistern
1
vote
1
answer
100
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
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in
Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
190
views
cat2021-set2
quantitative-aptitude
alligation-mixture
numerical-answer
1
vote
1
answer
101
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
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in
Quantitative Aptitude
Jan 20, 2022
by
soujanyareddy13
2.7k
points
215
views
cat2021-set2
quantitative-aptitude
number-systems
numerical-answer
1
vote
1
answer
102
CAT 2021 Set-1 | Quantitative Aptitude | Question: 1
How many three-digit numbers are greater than $100$ and increase by $198$ when the three digits are arranged in the reverse order?
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
402
views
cat2021-set1
quantitative-aptitude
number-systems
numerical-answer
2
votes
1
answer
103
CAT 2021 Set-1 | Quantitative Aptitude | Question: 2
A basket of $2$ apples, $4$ oranges and $6$ mangoes costs the same as a basket of $1$ apple, $4$ oranges and $8$ mangoes, or a basket of $8$ oranges and $7$ mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is : $12$ $10$ $11$ $13$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
691
views
cat2021-set1
quantitative-aptitude
ratio-proportion
1
vote
1
answer
104
CAT 2021 Set-1 | Quantitative Aptitude | Question: 3
The natural numbers are divided into groups as $(1), (2,3,4), (5,6,7,8,9), \dots $ and so on. Then, the sum of the numbers in the $15 \text{th}$ group is equal to $6090$ $4941$ $6119$ $7471$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
339
views
cat2021-set1
quantitative-aptitude
number-systems
1
vote
1
answer
105
CAT 2021 Set-1 | Quantitative Aptitude | Question: 4
Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in $1 \; \text{year},$ Akbar and Anthony can complete in $16$ ... person who is neither the faster nor the slowest works alone, the time in months he will take to complete the project is
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in
Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
945
views
cat2021-set1
quantitative-aptitude
work-time
numerical-answer
1
vote
1
answer
106
CAT 2021 Set-1 | Quantitative Aptitude | Question: 5
Anu, Vinu and Manu can complete a work alone in $15 \; \text{days}, 12 \; \text{days}$ and $20 \; \text{days},$ respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on ... days starting from the second day. Then, the number of days needed to complete the work is $6$ $5$ $8$ $7$
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in
Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
885
views
cat2021-set1
quantitative-aptitude
work-time
1
vote
1
answer
107
CAT 2021 Set-1 | Quantitative Aptitude | Question: 6
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in $6 \; \text{days}.$The amount Sita and Neeta together earn in a day equals what Geeta alone earns in $2 \; \text{days}.$ The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is $7 : 3$ $3 : 2$ $11 : 3$ $11 : 7$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
504
views
cat2021-set1
quantitative-aptitude
ratio-proportion
1
vote
1
answer
108
CAT 2021 Set-1 | Quantitative Aptitude | Question: 7
If the area of a regular hexagon is equal to the area of an equilateral triangle of side $12 \; \text{cm},$ then the length, in cm, of each side of the hexagon is $6 \sqrt{6}$ $2 \sqrt{6}$ $4 \sqrt{6}$ $\sqrt{6}$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
227
views
cat2021-set1
quantitative-aptitude
geometry
1
vote
1
answer
109
CAT 2021 Set-1 | Quantitative Aptitude | Question: 8
$f(x) = \dfrac{x^{2} + 2x – 15}{x^{2} – 7x – 18}$ is negative if and only if $ – 2 < x < 3 \; \text{or} \; x > 9 $ $ x < – 5 \; \text{or} \; 3 < x < 9 $ $ – 5 < x < – 2 \; \text{or} \; 3 < x < 9 $ $ x < – 5 \; \text{or} \; – 2 < x < 3 $
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
267
views
cat2021-set1
quantitative-aptitude
functions
1
vote
1
answer
110
CAT 2021 Set-1 | Quantitative Aptitude | Question: 9
Amal purchases some pens at $₹ \; 8$ each. To sell these, he hires an employee at a fixed wage. He sells $100$ of these pens at $₹ \; 12$ each. If the remaining pens are sold at $₹ \; 11$ ... of $₹ \; 300$ if the remaining pens are sold at $₹ \; 9$ each. The wage of the employee, in $\text{INR},$ is
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in
Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
749
views
cat2021-set1
quantitative-aptitude
profit-loss
numerical-answer
1
vote
1
answer
111
CAT 2021 Set-1 | Quantitative Aptitude | Question: 10
The number of groups of three or more distinct numbers that can be chosen from $1, 2, 3, 4, 5, 6, 7,$ and $8$ so that the groups always include $3$ and $5,$ while $7$ and $8$ are never included together is
soujanyareddy13
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
662
views
cat2021-set1
quantitative-aptitude
permutation-combination
numerical-answer
1
vote
1
answer
112
CAT 2021 Set-1 | Quantitative Aptitude | Question: 11
The strength of an indigo solution in percentage is equal to the amount of indigo in grams per $100 \; \text{cc}$ of water. Two $800 \; \text{cc}$ bottles are filled with indigo solutions of strengths $33 \%$ and $17 \%,$ ... the first bottle has now changed to $21 \%$ then the volume, in cc, of the solution left in the second bottle is
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
575
views
cat2021-set1
quantitative-aptitude
alligation-mixture
numerical-answer
1
vote
1
answer
113
CAT 2021 Set-1 | Quantitative Aptitude | Question: 12
Suppose the length of each side of a regular hexagon $\text{ABCDEF}$ is $2 \; \text{cm}.$ It $\text{T}$ is the mid point of $\text{CD},$ then the length of $\text{AT, in cm},$ is $\sqrt{15}$ $\sqrt{13}$ $\sqrt{12}$ $\sqrt{14}$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
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702
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cat2021-set1
quantitative-aptitude
geometry
1
vote
1
answer
114
CAT 2021 Set-1 | Quantitative Aptitude | Question: 13
If $r$ is a constant such that $|x^{2} – 4x -13| = r$ has exactly three distinct real roots, then the value of $r$ is $15$ $18$ $17$ $21$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
1.3k
views
cat2021-set1
quantitative-aptitude
absolute-value
1
vote
1
answer
115
CAT 2021 Set-1 | Quantitative Aptitude | Question: 14
If $x_{0} = 1, x_{1} = 2$ and $x_{n+2} = \dfrac{1 + x_{n+1}}{x_{n}}, n = 0, 1, 2, 3, \dots ,$ then $x_{2021}$ is equal to $1$ $3$ $4$ $2$
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Quantitative Aptitude
Jan 19, 2022
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soujanyareddy13
2.7k
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204
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cat2021-set1
quantitative-aptitude
sequences&series
1
vote
1
answer
116
CAT 2021 Set-1 | Quantitative Aptitude | Question: 15
If $5 – \log_{10} \sqrt{1+x} + 4 \log_{10} \sqrt{1-x} = \log_{10} \frac{1}{\sqrt{1-x^{2}}},$ then $100x$ equals
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
192
views
cat2021-set1
quantitative-aptitude
logarithms
numerical-answer
1
vote
1
answer
117
CAT 2021 Set-1 | Quantitative Aptitude | Question: 16
Suppose hospital $\text{A}$ admitted $21$ less Covid infected patients than hospital $\text{B},$ and all eventually recovered. The sum of recovery days for patients in hospitals $\text{A}$ and $\text{B}$ were $200$ and $152,$ ... $3$ more than the average in hospital $\text{B}$ then the number admitted in hospital $\text{A}$ was
soujanyareddy13
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in
Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
276
views
cat2021-set1
quantitative-aptitude
average
numerical-answer
0
votes
0
answers
118
CAT 2021 Set-1 | Quantitative Aptitude | Question: 17
The number of integers $n$ that satisfy the inequalities $ |n – 60| < |n – 100| < |n – 20|$ is $18$ $19$ $21$ $20$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
91
views
cat2021-set1
quantitative-aptitude
inequalities
1
vote
1
answer
119
CAT 2021 Set-1 | Quantitative Aptitude | Question: 18
Two trains cross each other in $14 \; \text{seconds}$ when running in opposite directions along parallel tracks. The faster train is $160 \; \text{m}$ long and crosses a lamp post in $12 \; \text{seconds}.$ If the speed of the other train is $6 \; \text{km/hr}$ less than the faster one, its length, in $\text{m},$ is $190$ $192$ $184$ $180$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
points
402
views
cat2021-set1
quantitative-aptitude
speed-distance-time
1
vote
1
answer
120
CAT 2021 Set-1 | Quantitative Aptitude | Question: 19
Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are $₹ \; 806.25$ and $₹ \; 866.72,$ respectively, the interest accrued, in $\text{INR},$ during the fourth year is nearest to $934.65$ $929.48$ $926.84$ $931.72$
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Quantitative Aptitude
Jan 19, 2022
by
soujanyareddy13
2.7k
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813
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quantitative-aptitude
simple-compound-interest
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