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Recent questions tagged quantitative-aptitude
2
votes
1
answer
161
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 $24$ $27$ $21$ $18$
The sum of the perimeters of an equilateral triangle and a rectangle is $90 \; \text{c...
soujanyareddy13
2.7k
points
693
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometry
+
–
1
votes
1
answer
162
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 $?$
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 ord...
soujanyareddy13
2.7k
points
873
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
work-time
numerical-answer
+
–
2
votes
1
answer
163
CAT 2020 Set-2 | Question: 55
Let the $\text{m-th}$ and $\text{n-th}$ terms of a geometric progression be $\dfrac{3}{4}$ 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$
Let the $\text{m-th}$ and $\text{n-th}$ terms of a geometric progression be $\dfrac{3}{4}$ and $12,$ respectively, where $\text{m < n}.$ If the common ratio of the progr...
soujanyareddy13
2.7k
points
669
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometric-progression
+
–
2
votes
1
answer
164
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
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{...
soujanyareddy13
2.7k
points
528
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
algebra
numerical-answer
+
–
3
votes
1
answer
165
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$
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$$ – 1$
soujanyareddy13
2.7k
points
624
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
logarithms
+
–
0
votes
0
answers
166
CAT 2020 Set-2 | Question: 58
In how many ways can a pair of integers $\textsf{(x , a)}$ be chosen such that $x^{2} – 2 |x| + |a-2| = 0 ?$ $4$ $5$ $6$ $7$
In how many ways can a pair of integers $\textsf{(x , a)}$ be chosen such that $x^{2} – 2 |x| + |a-2| = 0 ?$$4$ $5$$6$$7$
soujanyareddy13
2.7k
points
387
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
quadratic-equations
+
–
3
votes
1
answer
167
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 $20$ $22$ $19$ $21$
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 ...
soujanyareddy13
2.7k
points
938
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
venn-diagrams
+
–
2
votes
1
answer
168
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}}$ $1$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$
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}$
soujanyareddy13
2.7k
points
609
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
algebra
+
–
1
votes
1
answer
169
CAT 2020 Set-2 | Question: 61
Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and $10$ less sharpeners. If the cost of one sharpener is $₹\:2$ more than the cost of a pencil, then the minimum possible number of pencils bought by Aron and Aditya together is $30$ $33$ $27$ $36$
Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and $10$ less sharpeners. If the cost of one sharp...
soujanyareddy13
2.7k
points
580
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
profit-loss
+
–
2
votes
1
answer
170
CAT 2020 Set-2 | Question: 62
A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is $3:2,$ while the ratio of the shares of Sunil and Mita is $4:5.$ If the difference between the largest and the smallest of these three shares is $\text{Rs.} 400,$ then Sunil’s share, in rupees, is
A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is $3:2,$ while the ratio of the shares of Sunil and Mita is $4:5.$ I...
soujanyareddy13
2.7k
points
631
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
ratio-proportion
numerical-answer
+
–
1
votes
1
answer
171
CAT 2020 Set-2 | Question: 63
Anil buys $12$ toys and labels each with the same selling price. He sells $8$ toys initially at $20\%$ discount on the labeled price. Then he sells the remaining $4$ toys at an additional $25\%$ discount on the discounted price. Thus, he gets a total of ... $10\%$ profit. With no discounts, his percentage of profit would have been $60$ $55$ $50$ $54$
Anil buys $12$ toys and labels each with the same selling price. He sells $8$ toys initially at $20\%$ discount on the labeled price. Then he sells the remaining $4$ toys...
soujanyareddy13
2.7k
points
501
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
profit-loss
+
–
2
votes
1
answer
172
CAT 2020 Set-2 | Question: 64
Two circular tracks $\text{T}1$ and $\text{T}2$ of radii $100 \; \text{m}$ and $20 \; \text{m},$ respectively touch at a point $\text{A}.$ Starting from $\text{A}$ at the same time, Ram and Rahim are walking on track $\text{T}1$ and ... $4$ $3$ $2$ $5$
Two circular tracks $\text{T}1$ and $\text{T}2$ of radii $100 \; \text{m}$ and $20 \; \text{m},$ respectively touch at a point $\text{A}.$ Starting from $\text{A}$ at the...
soujanyareddy13
2.7k
points
629
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
speed-distance-time
+
–
2
votes
1
answer
173
CAT 2020 Set-2 | Question: 65
How many $4$-digit numbers, each greater than $1000$ and each having all four digits distinct, are there with $7$ coming before $3.$
How many $4$-digit numbers, each greater than $1000$ and each having all four digits distinct, are there with $7$ coming before $3.$
soujanyareddy13
2.7k
points
677
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
permutation-combination
numerical-answer
+
–
1
votes
1
answer
174
CAT 2020 Set-2 | Question: 66
The number of pairs of integers $(x,y)$ satisfying $ x \geq y \geq – 20 $ and $ 2x + 5y = 99 $ is
The number of pairs of integers $(x,y)$ satisfying $ x \geq y \geq – 20 $ and $ 2x + 5y = 99 $ is
soujanyareddy13
2.7k
points
416
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
inequalities
numerical-answer
+
–
2
votes
1
answer
175
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
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}$ eq...
soujanyareddy13
2.7k
points
603
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
number-systems
numerical-answer
+
–
2
votes
1
answer
176
CAT 2020 Set-2 | Question: 68
$\text{A}$ and $\text{B}$ are two points on a straight line. Ram runs from $\text{A}$ to $\text{B}$ while Rahim runs from $\text{B}$ to $\text{A}.$ After crossing each other, Ram and Rahim reach their destinations in one minute and four minutes, respectively. If ... same time, then the ratio of Ram's speed to Rahim's speed is $2$ $\sqrt{2}$ $2\sqrt{2}$ $\frac{1}{2}$
$\text{A}$ and $\text{B}$ are two points on a straight line. Ram runs from $\text{A}$ to $\text{B}$ while Rahim runs from $\text{B}$ to $\text{A}.$ After crossing each ot...
soujanyareddy13
2.7k
points
885
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
speed-distance-time
+
–
2
votes
1
answer
177
CAT 2020 Set-2 | Question: 69
The distance from $\text{B}$ to $\text{C}$ is thrice that from $\text{A}$ to $\text{B}.$ Two trains travel from $\text{A}$ to $\text{C}$ via $\text{B}.$ The speed of train $2$ is double that of train $1$ while traveling from $\text{A}$ to $\text{B}$ and their ... train $1$ to that taken by train $2$ in traveling from $\text{A}$ to $\text{C}$ is $1:4$ $7:5$ $5:7$ $4:1$
The distance from $\text{B}$ to $\text{C}$ is thrice that from $\text{A}$ to $\text{B}.$ Two trains travel from $\text{A}$ to $\text{C}$ via $\text{B}.$ The speed of trai...
soujanyareddy13
2.7k
points
534
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
speed-distance-time
+
–
2
votes
1
answer
178
CAT 2020 Set-2 | Question: 70
Let $\text{C}$ be a circle of radius $5 \; \text{meters}$ having center at $\text{O}.$ Let $\text{PQ}$ be a chord of $\text{C}$ that passes through points $\text{A}$ and $\text{B}$ where $\text{A}$ is located $4 \; \text{meters}$ north of $\text{O}$ and ... $\text{O}.$ Then, the length of $\text{PQ}$, in meters, is nearest to $7.2$ $7.8$ $6.6$ $8.8$
Let $\text{C}$ be a circle of radius $5 \; \text{meters}$ having center at $\text{O}.$ Let $\text{PQ}$ be a chord of $\text{C}$ that passes through points $\text{A}$ and ...
soujanyareddy13
2.7k
points
767
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometry
+
–
3
votes
1
answer
179
CAT 2020 Set-2 | Question: 71
The number of integers that satisfy the equality $\left( x^{2} – 5x + 7 \right)^{x+1} = 1$ is $2$ $3$ $5$ $4$
The number of integers that satisfy the equality $\left( x^{2} – 5x + 7 \right)^{x+1} = 1$ is $2$$3$$5$$4$
soujanyareddy13
2.7k
points
580
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
algebra
+
–
2
votes
1
answer
180
CAT 2020 Set-2 | Question: 72
Let $f(x) = x^{2} + ax + b $ and $g(x) = f(x+1) – f(x-1).$ If $ f(x) \geq 0 $ for all real $x,$ and $ g(20) = 72,$ then the smallest possible value of $b$ is $1$ $16$ $0$ $4$
Let $f(x) = x^{2} + ax + b $ and $g(x) = f(x+1) – f(x-1).$ If $ f(x) \geq 0 $ for all real $x,$ and $ g(20) = 72,$ then the smallest possible value of $b$ is $1$$16$$0$...
soujanyareddy13
2.7k
points
525
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
functions
+
–
2
votes
1
answer
181
CAT 2020 Set-2 | Question: 73
Let $\text{C}1$ and $\text{C}2$ be concentric circles such that the diameter of $\text{C}1$ is $2 \; \text{cm}$ longer than that of $\text{C}2.$ If a chord of $\text{C}1$ has length $6 \; \text{cm}$ and is a tangent to $\text{C}2,$ then the diameter, in $\text{cm},$ of $\text{C}1$ is
Let $\text{C}1$ and $\text{C}2$ be concentric circles such that the diameter of $\text{C}1$ is $2 \; \text{cm}$ longer than that of $\text{C}2.$ If a chord of $\text{C}1$...
soujanyareddy13
2.7k
points
620
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometry
numerical-answer
+
–
1
votes
1
answer
182
CAT 2020 Set-2 | Question: 74
From an interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the three perpendiculars is $s.$ Then the area of the triangle is $\frac{\sqrt{3}s^{2}}{2}$ $\frac{s^{2}}{\sqrt{3}}$ $\frac{2s^{2}}{\sqrt{3}}$ $\frac{s^{2}}{2 \sqrt{3}}$
From an interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the three perpendiculars is $s.$ Then the area o...
soujanyareddy13
2.7k
points
562
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometry
+
–
1
votes
1
answer
183
CAT 2020 Set-2 | Question: 75
For the same principal amount, the compound interest for two years at $5\%$ per annum exceeds the simple interest for three years at $3\%$ per annum by $\text{Rs } 1125.$ Then the principal amount in rupees is
For the same principal amount, the compound interest for two years at $5\%$ per annum exceeds the simple interest for three years at $3\%$ per annum by $\text{Rs } 1125.$...
soujanyareddy13
2.7k
points
704
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
simple-compound-interest
numerical-answer
+
–
2
votes
1
answer
184
CAT 2020 Set-2 | Question: 76
In a group of $10$ students, the mean of the lowest $9$ scores is $42$ while the mean of the highest $9$ scores is $47.$ For the entire group of $10$ students, the maximum possible mean exceeds the minimum possible mean by $4$ $3$ $5$ $6$
In a group of $10$ students, the mean of the lowest $9$ scores is $42$ while the mean of the highest $9$ scores is $47.$ For the entire group of $10$ students, the maximu...
soujanyareddy13
2.7k
points
598
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
average
+
–
1
votes
1
answer
185
CAT 2020 Set-1 | Question: 51
How many $3-$digit numbers are there, for which the product of their digits is more than $2$ but less than $7$?
How many $3-$digit numbers are there, for which the product of their digits is more than $2$ but less than $7$?
soujanyareddy13
2.7k
points
545
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
permutation-combination
numerical-answer
+
–
1
votes
1
answer
186
CAT 2020 Set-1 | Question: 52
Veeru invested Rs $10000$ at $5\%$ simple annual interest, and exactly after two years, Joy invested Rs $8000$ at $10\%$ simple annual interest. How many years after Veeru’s investment, will their balances, i.e., principal plus accumulated interest, be equal?
Veeru invested Rs $10000$ at $5\%$ simple annual interest, and exactly after two years, Joy invested Rs $8000$ at $10\%$ simple annual interest. How many years after Veer...
soujanyareddy13
2.7k
points
741
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
simple-compound-interest
numerical-answer
+
–
1
votes
1
answer
187
CAT 2020 Set-1 | Question: 53
An alloy is prepared by mixing three metals $\text{A, B}$ and $\text{C}$ in the proportion $3:4:7$ by volume. Weights of the same volume of the metals $\text{A, B}$ and $\text{C}$ are in the ratio $5:2:6$. In $130$ kg of the alloy, the weight, in kg, of the metal $\text{C}$ is $70$ $96$ $48$ $84$
An alloy is prepared by mixing three metals $\text{A, B}$ and $\text{C}$ in the proportion $3:4:7$ by volume. Weights of the same volume of the metals $\text{A, B}$ and ...
soujanyareddy13
2.7k
points
626
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
alligation-mixture
+
–
1
votes
1
answer
188
CAT 2020 Set-1 | Question: 54
On a rectangular metal sheet of area $135$ ... $4\sqrt{\pi }\left ( 3+\frac{9}{\pi} \right )$
On a rectangular metal sheet of area $135$ sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two-thir...
soujanyareddy13
2.7k
points
831
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
geometry
+
–
2
votes
1
answer
189
CAT 2020 Set-1 | Question: 55
If $\log_4 5=\left ( \log _{4}y \right )\left ( \log _{6}\sqrt{5} \right )$, then $y$ equals
If $\log_4 5=\left ( \log _{4}y \right )\left ( \log _{6}\sqrt{5} \right )$, then $y$ equals
soujanyareddy13
2.7k
points
467
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
logarithms
numerical-answer
+
–
1
votes
1
answer
190
CAT 2020 Set-1 | Question: 56
Two persons are walking beside a railway track at respective speeds of $2$ and $4$ km per hour in the same direction. A train came from behind them and crossed them in $90$ and $100$ seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to $87$ $82$ $75$ $78$
Two persons are walking beside a railway track at respective speeds of $2$ and $4$ km per hour in the same direction. A train came from behind them and crossed them in $9...
soujanyareddy13
2.7k
points
561
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
speed-distance-time
+
–
1
votes
1
answer
191
CAT 2020 Set-1 | Question: 57
The number of real$-$valued of the equation $2^{x}+2^{-x}=2-(x-2)^{2}$ is infinite $1$ $0$ $2$
The number of real$-$valued of the equation $2^{x}+2^{-x}=2-(x-2)^{2}$ isinfinite$1$$0$$2$
soujanyareddy13
2.7k
points
530
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
algebra
+
–
1
votes
1
answer
192
CAT 2020 Set-1 | Question: 58
If $y$ is a negative number such that $2^{y^{2}\log _{2}3}=5^{\log_{2}3}$, then $y$ equals $\log _{2}\left ( \frac{1}{3} \right )$ $-\log _{2}\left ( \frac{1}{3} \right )$ $\log _{2}\left ( \frac{1}{5} \right )$ $-\log _{2}\left ( \frac{1}{5} \right )$
If $y$ is a negative number such that $2^{y^{2}\log _{2}3}=5^{\log_{2}3}$, then $y$ equals$\log _{2}\left ( \frac{1}{3} \right )$$-\log _{2}\left ( \frac{1}{3} \right )$$...
soujanyareddy13
2.7k
points
629
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
logarithms
+
–
1
votes
1
answer
193
CAT 2020 Set-1 | Question: 59
How many distinct positive integer-valued solutions exist to the equation $\left ( x^{2}-7x+11 \right )^{(x^{2}-13x+42)} =1$? $6$ $8$ $2$ $4$
How many distinct positive integer-valued solutions exist to the equation $\left ( x^{2}-7x+11 \right )^{(x^{2}-13x+42)} =1$?$6$$8$$2$$4$
soujanyareddy13
2.7k
points
529
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
algebra
+
–
1
votes
1
answer
194
CAT 2020 Set-1 | Question: 60
A person spent Rs $50000$ to produce a desktop computer and a laptop computer. He sold the desktop at $20\%$ profit and the laptop at $10\%$ loss. If overall he made a $2\%$ profit then the purchase price, in rupees, of the desktop is
A person spent Rs $50000$ to produce a desktop computer and a laptop computer. He sold the desktop at $20\%$ profit and the laptop at $10\%$ loss. If overall he made a $2...
soujanyareddy13
2.7k
points
777
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
profit-loss
numerical-answer
+
–
1
votes
1
answer
195
CAT 2020 Set-1 | Question: 61
The area of the region satisfying the inequilities $\left | x \right |-y\leq 1,y\geq 0$ and $y\leq 1$ is
The area of the region satisfying the inequilities $\left | x \right |-y\leq 1,y\geq 0$ and $y\leq 1$ is
soujanyareddy13
2.7k
points
534
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
absolute-value
numerical-answer
+
–
1
votes
1
answer
196
CAT 2020 Set-1 | Question: 62
A straight road connects points $\text{A}$ and $\text{B}$. Car $1$ travels from $\text{A}$ to $\text{B}$ and Car $2$ travels from $\text{B}$ to $\text{A}$, both leaving at the same time. After meeting each other, they take $45$ minutes and $20$ minutes, ... Car $1$ travels at the speed of $60$ km/hr, then the speed of Car $2$, in km/hr, is $90$ $100$ $80$ $70$
A straight road connects points $\text{A}$ and $\text{B}$. Car $1$ travels from $\text{A}$ to $\text{B}$ and Car $2$ travels from $\text{B}$ to $\text{A}$, both leaving a...
soujanyareddy13
2.7k
points
501
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soujanyareddy13
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Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
speed-distance-time
+
–
1
votes
1
answer
197
CAT 2020 Set-1 | Question: 63
Among $100$ students, $x_{1}$ have birthdays in January, $x_{2}$ have birthdays in February, and so on. If $x_{0}= \text{max}\left ( x_{1},x_{2},\dots,x_{12} \right ),$ then the smallest possible value of $x_{0}$ is $9$ $10$ $8$ $12$
Among $100$ students, $x_{1}$ have birthdays in January, $x_{2}$ have birthdays in February, and so on. If $x_{0}= \text{max}\left ( x_{1},x_{2},\dots,x_{12} \right ),$ t...
soujanyareddy13
2.7k
points
521
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
number-systems
numerical-answer
+
–
1
votes
1
answer
198
CAT 2020 Set-1 | Question: 64
The mean of all $4-$digit even natural numbers of the form $\text{‘}aabb\text{’},$ where $a>0,$ is $5050$ $4466$ $5544$ $4864$
The mean of all $4-$digit even natural numbers of the form $\text{‘}aabb\text{’},$ where $a>0,$ is$5050$$4466$$5544$$4864$
soujanyareddy13
2.7k
points
516
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
average
+
–
1
votes
1
answer
199
CAT 2020 Set-1 | Question: 65
Leaving home at the same time, Amal reaches office at $10:15$ am if he travels at $8$ km/hr, and at $9:40$ am if he travels at $15$ km/hr. Leaving home at $9:10$ am, at what speed, in km/hr, must he travel so as to reach office exactly at $10$ am? $13$ $14$ $12$ $11$
Leaving home at the same time, Amal reaches office at $10:15$ am if he travels at $8$ km/hr, and at $9:40$ am if he travels at $15$ km/hr. Leaving home at $9:10$ am, at w...
soujanyareddy13
2.7k
points
670
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
speed-distance-time
+
–
1
votes
1
answer
200
CAT 2020 Set-1 | Question: 71
A circle is inscribed in a rhombus with diagonals $12$ cm and $16$ cm. The ratio of the area of circle to the area of rhombus is $\frac{5\pi }{18}$ $\frac{6\pi }{25}$ $\frac{3\pi }{25}$ $\frac{2\pi }{15}$
A circle is inscribed in a rhombus with diagonals $12$ cm and $16$ cm. The ratio of the area of circle to the area of rhombus is $\frac{5\pi }{18}$ $\frac{6\pi }{25}$ $\f...
soujanyareddy13
2.7k
points
472
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
geometry
+
–
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