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Recent questions in Quantitative Aptitude
1
votes
1
answer
281
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 $?$
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...
soujanyareddy13
2.7k
points
619
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
work-time
numerical-answer
+
–
1
votes
1
answer
282
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 $7$ $8$ $5$ $6$
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 $7$...
soujanyareddy13
2.7k
points
515
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
quadratic-equations
+
–
1
votes
1
answer
283
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
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 $\te...
soujanyareddy13
2.7k
points
645
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
simple-compound-interest
numerical-answer
+
–
0
votes
0
answers
284
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 $?$ $4.2$ $5.2$ $4.8$ $4.6$
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 r...
soujanyareddy13
2.7k
points
308
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
speed-distance-time
+
–
0
votes
0
answers
285
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 $8$ $12$ $10$ $6$
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$$6$
soujanyareddy13
2.7k
points
399
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
absolute-value
area
+
–
0
votes
0
answers
286
CAT 2020 Set-3 | Question: 65
The vertices of a triangle are $(0,0), (4,0)$ and $(3,9).$ The area of the circle passing through these three points is $\frac{14 \pi}{3}$ $\frac{12 \pi}{5}$ $\frac{123 \pi}{7}$ $\frac{205 \pi}{9}$
The vertices of a triangle are $(0,0), (4,0)$ and $(3,9).$ The area of the circle passing through these three points is $\frac{14 \pi}{3}$$\frac{12 \pi}{5}$$\frac{123 \pi...
soujanyareddy13
2.7k
points
527
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
geometry
cartesian-coordinates
+
–
0
votes
0
answers
287
CAT 2020 Set-3 | Question: 66
How many integers in the set $\{ 100, 101, 102, \dots, 999\}$ have at least one digit repeated $?$
How many integers in the set $\{ 100, 101, 102, \dots, 999\}$ have at least one digit repeated $?$
soujanyareddy13
2.7k
points
473
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
number-systems
numerical-answer
+
–
0
votes
0
answers
288
CAT 2020 Set-3 | Question: 67
Let $\text{N}, x$ and $y$ be positive integers such that $N = x + y, 2 < x < 10$ and $14 < y < 23.$ If $\text{N} > 25,$ then how many distinct values are possible for $\text{N} ?$
Let $\text{N}, x$ and $y$ be positive integers such that $N = x + y, 2 < x < 10$ and $14 < y < 23.$ If $\text{N} 25,$ then how many distinct values are possible for $\...
soujanyareddy13
2.7k
points
344
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
number-systems
numerical-answer
+
–
0
votes
0
answers
289
CAT 2020 Set-3 | Question: 68
The points $(2,1)$ and $( – 3, – 4)$ are opposite vertices of a parallelogram. If the other two vertices lie on the line $x + 9y + c = 0,$ then $\text{c}$ is $12$ $14$ $13$ $15$
The points $(2,1)$ and $( – 3, – 4)$ are opposite vertices of a parallelogram. If the other two vertices lie on the line $x + 9y + c = 0,$ then $\text{c}$ is $12$$14$...
soujanyareddy13
2.7k
points
331
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
geometry
cartesian-coordinates
+
–
0
votes
0
answers
290
CAT 2020 Set-3 | Question: 69
How many pairs $(a,b)$ of positive integers are there such that $a \leq b$ and $ab = 4^{2017} \; ?$ $2017$ $2019$ $2020$ $2018$
How many pairs $(a,b)$ of positive integers are there such that $a \leq b$ and $ab = 4^{2017} \; ?$$2017$$2019$$2020$$2018$
soujanyareddy13
2.7k
points
283
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
algebra
+
–
0
votes
0
answers
291
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
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...
soujanyareddy13
2.7k
points
334
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
geometry
numerical-answer
+
–
2
votes
1
answer
292
CAT 2020 Set-3 | Question: 71
How many of the integers $1,2, \dots, 120,$ are divisible by none of $2,5$ and $7 ?$ $40$ $42$ $43$ $41$
How many of the integers $1,2, \dots, 120,$ are divisible by none of $2,5$ and $7 ?$$40$$42$$43$$41$
soujanyareddy13
2.7k
points
636
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
number-systems
+
–
0
votes
0
answers
293
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 $94\%$ $92\%$ $90\%$ $89\%$
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 $\text{A}$ suc...
soujanyareddy13
2.7k
points
386
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
alligation-mixture
+
–
2
votes
1
answer
294
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
$\dfrac{2 \times 4 \times 8 \times 16} {(\log_{2} 4)^{2} (\log_{4} 8)^{3} (\log_{8} 16)^{4}}$ equals
soujanyareddy13
2.7k
points
627
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
logarithms
numerical-answer
+
–
0
votes
0
answers
295
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 $2$ $3$ $4$ $1$
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 i...
soujanyareddy13
2.7k
points
459
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
average
+
–
2
votes
1
answer
296
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 $439$ $399$ $357$ $417$
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...
soujanyareddy13
2.7k
points
673
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
percentage
+
–
0
votes
0
answers
297
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 $3$ $4$ $1$ $2$
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$$...
soujanyareddy13
2.7k
points
425
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
inequalities
+
–
2
votes
1
answer
298
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
730
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometry
+
–
2
votes
1
answer
299
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$
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...
soujanyareddy13
2.7k
points
823
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
percentage
+
–
2
votes
1
answer
300
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$
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}$...
soujanyareddy13
2.7k
points
590
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
speed-distance-time
+
–
1
votes
1
answer
301
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
920
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
work-time
numerical-answer
+
–
2
votes
1
answer
302
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
694
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometric-progression
+
–
2
votes
1
answer
303
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
551
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
algebra
numerical-answer
+
–
3
votes
1
answer
304
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
653
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
logarithms
+
–
0
votes
0
answers
305
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$$7$
soujanyareddy13
2.7k
points
404
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
quadratic-equations
+
–
3
votes
1
answer
306
CAT 2020 Set-2 | Question: 59
Students in a college have to choose at least two subjects from chemistry, mathematics, and physics. The number of students choosing all three subjects is $18,$ choosing mathematics as one of their subjects is $23$ and choosing physics as one of their ... smallest possible number of students who could choose chemistry as one of their subjects is $20$ $22$ $19$ $21$
Students in a college have to choose at least two subjects from chemistry, mathematics, and physics. The number of students choosing all three subjects is $18,$ choosing ...
soujanyareddy13
2.7k
points
1.1k
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
venn-diagrams
+
–
2
votes
1
answer
307
CAT 2020 Set-2 | Question: 60
For real $\textsf{x}$ , the maximum possible value of $ \frac{x}{\sqrt{1+x^{4}}}$ is $ \frac{1}{\sqrt{3}}$ $1$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$
For real $\textsf{x}$ , the maximum possible value of $ \frac{x}{\sqrt{1+x^{4}}}$ is $ \frac{1}{\sqrt{3}}$$1$$\frac{1}{\sqrt{2}}$$\frac{1}{2}$
soujanyareddy13
2.7k
points
640
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
algebra
+
–
1
votes
1
answer
308
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
607
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
profit-loss
+
–
2
votes
1
answer
309
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
660
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
ratio-proportion
numerical-answer
+
–
1
votes
1
answer
310
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
527
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
profit-loss
+
–
2
votes
1
answer
311
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
668
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
speed-distance-time
+
–
2
votes
1
answer
312
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
718
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
permutation-combination
numerical-answer
+
–
1
votes
1
answer
313
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
439
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
inequalities
numerical-answer
+
–
2
votes
1
answer
314
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
642
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
number-systems
numerical-answer
+
–
2
votes
1
answer
315
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
915
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
speed-distance-time
+
–
2
votes
1
answer
316
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
567
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
speed-distance-time
+
–
2
votes
1
answer
317
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
807
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometry
+
–
3
votes
1
answer
318
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$$4$
soujanyareddy13
2.7k
points
611
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
algebra
+
–
2
votes
1
answer
319
CAT 2020 Set-2 | Question: 72
Let $f(x) = x^{2} + ax + b $ and $g(x) = f(x+1) – f(x-1).$ If $ f(x) \geq 0 $ for all real $x,$ and $ g(20) = 72,$ then the smallest possible value of $b$ is $1$ $16$ $0$ $4$
Let $f(x) = x^{2} + ax + b $ and $g(x) = f(x+1) – f(x-1).$ If $ f(x) \geq 0 $ for all real $x,$ and $ g(20) = 72,$ then the smallest possible value of $b$ is $1$$16$$0$...
soujanyareddy13
2.7k
points
566
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
functions
+
–
2
votes
1
answer
320
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
664
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
geometry
numerical-answer
+
–
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