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Recent questions tagged quantitative-aptitude
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 1
For any natural numbers $\mathrm{m}, \mathrm{n}$, and $\mathrm{k}$, such that $\mathrm{k}$ divides both $m+2 n$ and $3 m+4 n \mathrm{k}$ must be a common divisor of $m$ and $n$ $2 m$ and $3 n$ $2 m$ and $n$ $m$ and $2 n$
For any natural numbers $\mathrm{m}, \mathrm{n}$, and $\mathrm{k}$, such that $\mathrm{k}$ divides both $m+2 n$ and $3 m+4 n \mathrm{k}$ must be a common divisor of$m$ an...
admin
4.5k
points
41
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admin
asked
Mar 31
Others
cat2023-set2
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 1
If $x$ and $y$ are real numbers such that $x^{2}+(x-2 y-1)^{2}=-4 y(x+y)$, then the value $x-2 y$ is $1$ $2$ $-1$ $0$
If $x$ and $y$ are real numbers such that $x^{2}+(x-2 y-1)^{2}=-4 y(x+y)$, then the value $x-2 y$ is$1$$2$$-1$$0$
admin
4.5k
points
36
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admin
asked
Mar 30
Others
cat2023-set1
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 2
If $\sqrt{5 x+9}+\sqrt{5 x-9}=3(2+\sqrt{2})$, then $\sqrt{10 x+9}$ is equal to $3 \sqrt{7}$ $4 \sqrt{5}$ $3 \sqrt{31}$ $2 \sqrt{7}$
If $\sqrt{5 x+9}+\sqrt{5 x-9}=3(2+\sqrt{2})$, then $\sqrt{10 x+9}$ is equal to$3 \sqrt{7}$$4 \sqrt{5}$$3 \sqrt{31}$$2 \sqrt{7}$
admin
4.5k
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30
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Mar 30
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cat2023-set1
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 4
If $x$ and $y$ are positive real numbers such that $\log _{x}\left(x^{2}+12\right)=4$ and $3 \log _{y} x=1$, then $x+y$ equals $11$ $20$ $10$ $68$
If $x$ and $y$ are positive real numbers such that $\log _{x}\left(x^{2}+12\right)=4$ and $3 \log _{y} x=1$, then $x+y$ equals$11$$20$$10$$68$
admin
4.5k
points
27
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admin
asked
Mar 30
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cat2023-set1
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 5
The number of integer solutions of equation $2|x|\left(x^{2}+1\right)=5 x^{2}$ is
The number of integer solutions of equation $2|x|\left(x^{2}+1\right)=5 x^{2}$ is
admin
4.5k
points
28
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admin
asked
Mar 30
Others
cat2023-set1
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 7
Let $\alpha$ and $\beta$ be the two distinct roots of the equation $2 x^{2}-6 x+k=0$, such that $(\alpha+\beta)$ and $\alpha \beta$ are the distinct roots of the equation $x^{2}+p x+p=0$. Then, the value of $8(k-p)$ is
Let $\alpha$ and $\beta$ be the two distinct roots of the equation $2 x^{2}-6 x+k=0$, such that $(\alpha+\beta)$ and $\alpha \beta$ are the distinct roots of the equation...
admin
4.5k
points
31
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admin
asked
Mar 30
Others
cat2023-set1
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 8
In an examination, the average marks of $4$ girls and $6$ boys is $24$. Each of the girls has the same marks while each of the boys has the same marks. If the marks of any girl is at most double the marks of any boy, but not less ... number of possible distinct integer values of the total marks of $2$ girls and $6$ boys is $20$ $22$ $21$ $19$
In an examination, the average marks of $4$ girls and $6$ boys is $24$. Each of the girls has the same marks while each of the boys has the same marks. If the marks of an...
admin
4.5k
points
31
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admin
asked
Mar 30
Others
cat2023-set1
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 9
The minor angle between the hours hand and minutes hand of a clock was observed at $8:48$ am. The minimum duration, in minutes, after $8.48$ am when this angle increases by $50 \%$ is $\frac{36}{11}$ $4$ $\frac{24}{11}$ $2$
The minor angle between the hours hand and minutes hand of a clock was observed at $8:48$ am. The minimum duration, in minutes, after $8.48$ am when this angle increases ...
admin
4.5k
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26
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admin
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Mar 30
Others
cat2023-set1
quantitative-aptitude
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GATE GENERAL APTITUDE | CHAPTER 34: Mixtures and Alligations | Page 302 Example 2|
A container has 20 L of milk. 4 L of milk is replaced with an equal quantity of water. What was will be the final quantity of milk in the container if the process is repe...
xxwarmachineroxx
14
points
657
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xxwarmachineroxx
asked
Nov 4, 2023
Quantitative Aptitude
quantitative-aptitude
numerical-ability
ratio-proportion
alligation-mixture
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 2
If $c=\dfrac{16 x}{y}+\dfrac{49 y}{x}$ for some non-zero real numbers $x$ and $y,$ then $c$ cannot take the value $-60$ $-50$ $60$ $-70$
If $c=\dfrac{16 x}{y}+\dfrac{49 y}{x}$ for some non-zero real numbers $x$ and $y,$ then $c$ cannot take the value$-60$ $-50$ $60$ $-70$
admin
4.5k
points
1.6k
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admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
quantitative-aptitude
algebra
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 14
A group of $\mathrm{N}$ people worked on a project. They finished $35 \%$ of the project by working $7$ hours a day for $10$ days. Thereafter, $10$ people left the group and the remaining people finished the rest of the project in $14$ days by working $10$ hours a day. Then the value of $\mathrm{N}$ is $150$ $36$ $140$ $23$
A group of $\mathrm{N}$ people worked on a project. They finished $35 \%$ of the project by working $7$ hours a day for $10$ days. Thereafter, $10$ people left the group ...
admin
4.5k
points
926
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
quantitative-aptitude
work-time
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 1
Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio $5: 8: 10$. They accept a job which they can finish in $4$ days if they all work together for $8$ hours per day. However, Anu and ... $6$ hours $40$ minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is
Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio $5: 8: 10$. They accept a job which they can finish in $4$ days if they all work...
admin
4.5k
points
420
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 2
Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest per annum. Then, the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is
Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest per annum. Then, the minimum numbe...
admin
4.5k
points
363
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 3
Regular polygons $\mathrm{A}$ and $\mathrm{B}$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $\mathrm{B}$ equals
Regular polygons $\mathrm{A}$ and $\mathrm{B}$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $\mathrm{B}$ ...
admin
4.5k
points
243
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 4
The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
admin
4.5k
points
326
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 5
The average of a non-decreasing sequence of $\mathrm{N}$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average becomes $400$ . Then, the number of possible values of $a_{1}$ is
The average of a non-decreasing sequence of $\mathrm{N}$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average beco...
admin
4.5k
points
393
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 6
If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$, then the average of the maximum and minimum possible values of $(a+b)$ is $3.5$ $4.5$ $3$ $4$
If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$, then the average of the maximum and minimum possible values of $(a+b)$ is$3.5$$4.5$$3$$4$
admin
4.5k
points
357
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 7
The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ such that the area of triangle $\mathrm{A D C}$ is half the area of triangle $\mathrm{A B D}$. Then the length of $\mathrm{A D}$, in $\mathrm{cm}$, is $\sqrt{7}$ $\sqrt{6}$ $\sqrt{8}$ $\sqrt{5}$
The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ such that the area of triangle $\ma...
admin
4.5k
points
409
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 8
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is $1480$ $1440$ $1200$ $1420$
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is$1480$$1440$$1200$$1420$
admin
4.5k
points
282
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 9
Let $f(x)$ be a quadratic polynomial in $x$ such that $f(x) \geq 0$ for all real numbers $x$. If $f(2)=0$ and $f(4)=6$, then $f(-2)$ is equal to $36$ $12$ $24$ $6$
Let $f(x)$ be a quadratic polynomial in $x$ such that $f(x) \geq 0$ for all real numbers $x$. If $f(2)=0$ and $f(4)=6$, then $f(-2)$ is equal to$36$$12$$24$$6$
admin
4.5k
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288
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 10
Manu earns ₹$4000$ per month and wants to save an average of ₹$550$ per month in a year. In the first nine months, his monthly expense was ₹$3500$, and he foresees that, tenth month onward, his monthly expense will increase to ... savings target, his monthly earnings, in rupees, from the tenth month onward should be $4350$ $4400$ $4300$ $4200$
Manu earns ₹$4000$ per month and wants to save an average of ₹$550$ per month in a year. In the first nine months, his monthly expense was ₹$3500$, and he foresees ...
admin
4.5k
points
332
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 11
In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the other three candidates received the remaining casted votes ... candidate with the second highest votes, then the number of registered voters was $62800$ $50240$ $40192$ $60288$
In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the o...
admin
4.5k
points
280
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 12
On day one, there are $100$ particles in a laboratory experiment. On day $n$, where $n \geq 2$, one out of every $n$ particles produces another particle. If the total number of particles in the laboratory experiment increases to $1000$ on day $\mathrm{m}$, then $\mathrm{m}$ equals $19$ $17$ $16$ $18$
On day one, there are $100$ particles in a laboratory experiment. On day $n$, where $n \geq 2$, one out of every $n$ particles produces another particle. If the total num...
admin
4.5k
points
329
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 13
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred ... sugar syrup and milk in the second container is $6: 5$ $5: 6$ $4: 5$ $5: 4$
There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first co...
admin
4.5k
points
326
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 14
Five students, including Amit, appear for an examination in which possible marks are integers between $0$ and $50$ , both inclusive. The average marks for all the students is $38$ and exactly three students got more than $32$. If no ... students, then the difference between the highest and lowest possible marks of Amit is $22$ $20$ $21$ $24$
Five students, including Amit, appear for an examination in which possible marks are integers between $0$ and $50$ , both inclusive. The average marks for all the student...
admin
4.5k
points
381
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 15
Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are $60 \mathrm{~km}$ apart. If the speed of one of the ships is $6 \mathrm{~km}$ per hour more than the other one, then the speed, in km per hour, of the slower ship is $24$ $18$ $20$ $12$
Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are $60 \mathrm{~km}$ apar...
admin
4.5k
points
620
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 16
For some natural number $n$, assume that $(15,000) !$ is divisible by $(n !) !$. The largest possible value of $n$ is $5$ $4$ $6$ $7$
For some natural number $n$, assume that $(15,000) !$ is divisible by $(n !) !$. The largest possible value of $n$ is$5$$4$$6$$7$
admin
4.5k
points
304
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 17
Suppose for all integers $x$, there are two functions $f$ and $g$ such that $f(x)+$ $f(x-1)-1=0$ and $g(x)=x^{2}$. If $f\left(x^{2}-x\right)=5$, then the value of the sum $f(g(5))+g(f(5))$ is
Suppose for all integers $x$, there are two functions $f$ and $g$ such that $f(x)+$ $f(x-1)-1=0$ and $g(x)=x^{2}$. If $f\left(x^{2}-x\right)=5$, then the value of the sum...
admin
4.5k
points
208
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 18
In triangle $\mathrm{A B C}$, altitudes $\mathrm{A D}$ and $\mathrm{B E}$ are drawn to the corresponding bases. If $\angle \mathrm{B A C}=45^{\circ}$ and $\angle \mathrm{A B C}=\theta$, then $\frac{A D}{B E}$ equals $\sqrt{2} \cos \theta$ $1$ $\sqrt{2} \sin \theta$ $\frac{(\sin +\cos )}{\sqrt{2}}$
In triangle $\mathrm{A B C}$, altitudes $\mathrm{A D}$ and $\mathrm{B E}$ are drawn to the corresponding bases. If $\angle \mathrm{B A C}=45^{\circ}$ and $\angle \mathrm{...
admin
4.5k
points
246
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 19
The number of integer solutions of the equation $\left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1$ is
The number of integer solutions of the equation $\left(x^{2}-10\right)^{\left(x^{2}-3 x-10\right)}=1$ is
admin
4.5k
points
250
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 20
Let $r$ and $c$ be real numbers. If $r$ and $-r$ are roots of $5 x^{3}+c x^{2}-10 x+9=0$, then $c$ equals $4$ $-4$ $-\frac{9}{2}$ $\frac{9}{2}$
Let $r$ and $c$ be real numbers. If $r$ and $-r$ are roots of $5 x^{3}+c x^{2}-10 x+9=0$, then $c$ equals$4$$-4$$-\frac{9}{2}$$\frac{9}{2}$
admin
4.5k
points
256
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 21
Consider the arithmetic progression $3,7,11, \ldots$ and let $A_{n}$ denote the sum of the first $\mathrm{n}$ terms of this progression. Then the value of $1^{25}, A$ is $442$ $404$ $455$ $415$
Consider the arithmetic progression $3,7,11, \ldots$ and let $A_{n}$ denote the sum of the first $\mathrm{n}$ terms of this progression. Then the value of $1^{25}, A$ is$...
admin
4.5k
points
224
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-2 | Quantitative Aptitude | Question: 22
In an examination, there were $75$ questions. $3$ marks were awarded for each correct answer, $1$ mark was deducted for each wrong answer and $1$ mark was awarded for each unattempted question. Rayan scored a total ... the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is
In an examination, there were $75$ questions. $3$ marks were awarded for each correct answer, $1$ mark was deducted for each wrong answer and $1$ mark was awarded for eac...
admin
4.5k
points
309
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set2
quantitative-aptitude
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 1
Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is $3: 5$. If the total number of persons in the queue is less than $300,$ then the maximum possible number of persons standing ahead of Pinky is
Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the q...
admin
4.5k
points
775
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
numerical-answer
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 2
The largest real value of $a$ for which the equation $|x+a|+|x-1|=2$ has an infinite number of solutions for $x$ is $2$ $-1$ $0$ $1$
The largest real value of $a$ for which the equation $|x+a|+|x-1|=2$ has an infinite number of solutions for $x$ is$2$$-1$$0$$1$
admin
4.5k
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342
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admin
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Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 3
The average of three integers is $13$. When a natural number $n$ is included, the average of these four integers remains an odd integer. The minimum possible value of $n$ is $5$ $1$ $3$ $4$
The average of three integers is $13$. When a natural number $n$ is included, the average of these four integers remains an odd integer. The minimum possible value of $n$...
admin
4.5k
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1.0k
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admin
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Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 4
Let $A$ be the largest positive integer that divides all the numbers of the form $3^{k}+4^{k}+5^{k}$, and $B$ be the largest positive integer that divides all the numbers of the form $4^{k}+3\left(4^{k}\right)+4^{k+2}$, where $k$ is any positive integer. Then $(A+B)$ equals
Let $A$ be the largest positive integer that divides all the numbers of the form $3^{k}+4^{k}+5^{k}$, and $B$ be the largest positive integer that divides all the numbers...
admin
4.5k
points
375
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admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 5
In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2: 3$. The ratio of the number of illiterate males to illiterate females is $4: 3$. If 3600 males in the village are literate, then the total number of females in the village is
In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2: 3$. The ratio of the number of illiterat...
admin
4.5k
points
561
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admin
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Feb 2, 2023
Quantitative Aptitude
cat2022-set1
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 6
Let $\text{A B C D}$ be a parallelogram such that the coordinates of its three vertices $\text{A, B, C}$ are $(1,1),(3,4)$ and $(-2,8)$, respectively. Then, the coordinates of the vertex $\text{D}$ are $(-4,5)$ $(-3,4)$ $(0,11)$ $(4,5)$
Let $\text{A B C D}$ be a parallelogram such that the coordinates of its three vertices $\text{A, B, C}$ are $(1,1),(3,4)$ and $(-2,8)$, respectively. Then, the coordinat...
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 7
Alex invested his savings in two parts. The simple interest earned on the first part at $15 \%$ per annum for 4 years is the same as the simple interest earned on the second part at $12 \%$ per annum for $3$ years. Then, the percentage of his savings invested in the first part is $60\%$ $62.5\%$ $37.5\%$ $4.40\%$
Alex invested his savings in two parts. The simple interest earned on the first part at $15 \%$ per annum for 4 years is the same as the simple interest earned on the sec...
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