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Recent questions and answers in 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

vivek18 answered in Quantitative Aptitude Mar 14

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2

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 $5$ $1$ $3$ $4$

vivek18 answered in Quantitative Aptitude Mar 14

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3

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

vivek18 answered in Quantitative Aptitude Mar 14

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4

CAT 2003 | Question: 1-107
Let A and B two solid spheres such that the surface area of B is $300\%$ higher than the surface area of A. The volume of A is found to be $k\%$ lower than the volume of B. The value of $k$ must be ________ $85.5$ $92.5$ $90.5$ $87.5$

Shoto answered in Quantitative Aptitude Mar 13

by Shoto

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5

Quantum cat
In a Nut - Bolt factory 180 workers are working 6 hours a day . Out of 180 workers there are some men, some women and rest are boys . All the workers can produce either nut or bolt or both of them . A man can produce 60 nuts and 80 bolts in each hour and a woman ... .e either nut or bolt ) per hour. Q:1 Working 6 hours a day , how many nuts they can produce with 52500 bolt in each day ?

Abhijeet pandey 22 asked in Quantitative Aptitude Mar 12

by Abhijeet pandey 22

14 points

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6

CAT 2022 Set-3 | Quantitative Aptitude | Question: 7
Consider six distinct natural numbers such that the average of the two smallest numbers is $14$, and the average of the two largest numbers is $28$. Then, the maximum possible value of the average of these six numbers is $22 .5$ $23$ $23 .5$ $24$

KG answered in Quantitative Aptitude Mar 8

by KG

154 points

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7

CAT 2022 Set-3 | Quantitative Aptitude | Question: 13
If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of $a$ and $b$, then the value of $x+y$ is

KG answered in Quantitative Aptitude Mar 8

by KG

154 points

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8

CAT 2022 Set-3 | Quantitative Aptitude | Question: 10
Nitu has an initial capital of ₹ $20,000$. Out of this, she invests ₹$8,000$ at $5.5 \%$ in bank $\mathrm{A}$, ₹$5,000$ at $5.6 \%$ in bank $\mathrm{B}$ and the remaining amount at $x \%$ ... entire initial capital in bank $\mathrm{C}$ alone, then her annual interest income, in rupees, would have been $900$ $800$ $1000$ $700$

KG answered in Quantitative Aptitude Mar 8

by KG

154 points

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9

the "friends club" purchased some shuttlecocks and cricket balls. Each Shuttle cock cost Rs.8 and each cricket ball cost Rs.15. In how many different ways could the club have bought the items if it spent a total amount of 769

Zabir786 answered in Quantitative Aptitude Mar 8

18 points

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10

CAT 2022 Set-3 | Quantitative Aptitude | Question: 2
If $c=\frac{16 x}{y}+\frac{49 y}{x}$ for some non-zero real numbers $x$ and $y$, then $c$ cannot take the value $-60$ $-50$ $60$ $-70$

KG answered in Quantitative Aptitude Mar 8

by KG

154 points

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11

CAT 2022 Set-3 | Quantitative Aptitude | Question: 1
A donation box can receive only cheques of ₹$100$, ₹$250$, and ₹$500$. On one good day, the donation box was found to contain exactly $100$ cheques amounting to a total sum of ₹$15250$. Then, the maximum possible number of cheques of ₹$500$ that the donation box may have contained, is

KG answered in Quantitative Aptitude Mar 8

by KG

154 points

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1 answer

12

CAT 2022 Set-3 | Quantitative Aptitude | Question: 11
The minimum possible value of $\frac{x^{2}-6 x+10}{3-x}$, for $x<3$, is $-2$ $2$ $\frac{1}{2}$ $-\frac{1}{2}$

KG answered in Quantitative Aptitude Mar 7

by KG

154 points

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1 answer

13

CAT 2022 Set-3 | Quantitative Aptitude | Question: 8
Let $r$ be a real number and $f(x)=\left\{\begin{array}{cl}2 x-r & \text { if } x \geq r \\ r & \text { if } x<r\end{array}\right.$. Then, the equation $f(x)=f(f(x))$ holds for all real values of $x$ where $x \leq r$ $x>r$ $x \geq r$ $x \neq r$

KG answered in Quantitative Aptitude Mar 7

by KG

154 points

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1 answer

14

CAT 2022 Set-3 | Quantitative Aptitude | Question: 3
If $(3+2 \sqrt{2})$ is a root of the equation $a x^{2}+b x+c-0$, and $(4+2 \sqrt{3})$ is a root of the equation $a y^{2}+m y+n – 0$, where $a, b, c, m$ and $n$ are integers, then the value of $\left(\frac{b}{m}+\frac{c-2 b}{n}\right)$ is $0$ $3$ $4$ $1$

KG answered in Quantitative Aptitude Mar 6

by KG

154 points

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15

CAT 2022 Set-3 | Quantitative Aptitude | Question: 4
Suppose the medians $\mathrm{BD}$ and $\mathrm{CE}$ of a triangle $\mathrm{ABC}$ intersect at a point $\mathrm{O}$. If area of triangle $\mathrm{ABC}$ is $108$ $\mathrm{sq. cm}$., then, the area of the triangle $\mathrm{EOD}$, in $\mathrm{sq. cm}$., is

admin asked in Quantitative Aptitude Mar 3

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16

CAT 2022 Set-3 | Quantitative Aptitude | Question: 5
Bob can finish a job in $40$ days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second day ... on the fourth day, and so on. Then, the total number of days Alex would have worked when the job gets finished, is

admin asked in Quantitative Aptitude Mar 3

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17

CAT 2022 Set-3 | Quantitative Aptitude | Question: 6
A glass contains $500 \mathrm{cc}$ of milk and a cup contains $500 \mathrm{cc}$ of water. From the glass, $150 \mathrm{cc}$ of milk is transferred to the cup and mixed thoroughly. Next, $150 \mathrm{cc}$ of this mixture is transferred from the cup to ... the glass and the amount of milk in the cup are in the ratio $1: 1$ $10: 3$ $10: 13$ $3: 10$

admin asked in Quantitative Aptitude Mar 3

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18

CAT 2022 Set-3 | Quantitative Aptitude | Question: 9
Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length $24 \mathrm{km}$. When the slower ship travelled $8 \mathrm{km}$, the triangle formed by ... distance, in $\mathrm{km}$, between the other ship and the port will be $4$ $6$ $12$ $8$

admin asked in Quantitative Aptitude Mar 3

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19

CAT 2022 Set-3 | Quantitative Aptitude | Question: 12
In an examination, the average marks of students in sections $\mathrm{A}$ and $\mathrm{B}$ are $32$ and $60$, respectively. The number of students in section $\mathrm{A}$ is $10$ ... combined is an integer, then the difference between the maximum and minimum possible number of students in section $\mathrm{A}$ is

admin asked in Quantitative Aptitude Mar 3

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20

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 $150$ $36$ $140$ $23$

admin asked in Quantitative Aptitude Mar 3

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21

CAT 2022 Set-3 | Quantitative Aptitude | Question: 15
Moody takes $30$ seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes $20$ seconds to finish riding the escalator if he walks at twice his normal speed in the same direction. If Moody decides to stand still on the escalator, then the time, in seconds, needed to finish riding the escalator is

admin asked in Quantitative Aptitude Mar 3

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22

CAT 2022 Set-3 | Quantitative Aptitude | Question: 16
In a triangle $\mathrm{A B C, A B=A C}=8 \mathrm{cm}$. A circle drawn with $\mathrm{BC}$ as diameter passes through $\mathrm{A}$. Another circle drawn with center at $\mathrm{A}$ passes through $\mathrm{B}$ and $\mathrm{C}$. Then the area ... $16(\pi-1)$ $32 \pi$ $32(\pi-1)$ $16 \pi$

admin asked in Quantitative Aptitude Mar 3

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23

CAT 2022 Set-3 | Quantitative Aptitude | Question: 17
Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\mathrm{x}$. Then, the number of possible values of $\mathrm{k}$ is $7$ $9$ $8$ $13$

admin asked in Quantitative Aptitude Mar 3

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24

CAT 2022 Set-3 | Quantitative Aptitude | Question: 18
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is $2442$ $3333$ $2592$ $2222$

admin asked in Quantitative Aptitude Mar 3

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25

CAT 2022 Set-3 | Quantitative Aptitude | Question: 19
The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length $1 \mathrm{cm}, 2 \mathrm{cm}$ and $4 \mathrm{cm}$, then the total number of possible lengths of the fourth side is $5$ $4$ $3$ $6$

admin asked in Quantitative Aptitude Mar 3

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26

CAT 2022 Set-3 | Quantitative Aptitude | Question: 20
Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take $1.5$ hours if they travel towards each other, but $10.5$ hours if they travel in the same direction. If the speed ... the slower car when it meets the other car while traveling towards each other, is $100$ $90$ $150$ $120$

admin asked in Quantitative Aptitude Mar 3

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27

CAT 2022 Set-3 | Quantitative Aptitude | Question: 21
A school has less than $5000$ students and if the students are divided equally into teams of either $9$ or $10$ or $12$ or $25$ each, exactly $4$ are always left out. However, if they are divided into teams of $11$ each, no one is left out. The maximum number of teams of $12$ each that can be formed out of the students in the school is

admin asked in Quantitative Aptitude Mar 3

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28

CAT 2022 Set-3 | Quantitative Aptitude | Question: 22
The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is

admin asked in Quantitative Aptitude Mar 3

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29

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

admin asked in Quantitative Aptitude Feb 2

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30

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

admin asked in Quantitative Aptitude Feb 2

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31

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

admin asked in Quantitative Aptitude Feb 2

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32

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

admin asked in Quantitative Aptitude Feb 2

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33

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

admin asked in Quantitative Aptitude Feb 2

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34

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 $3.5$ $4.5$ $3$ $4$

admin asked in Quantitative Aptitude Feb 2

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35

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 $\sqrt{7}$ $\sqrt{6}$ $\sqrt{8}$ $\sqrt{5}$

admin asked in Quantitative Aptitude Feb 2

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36

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 $1480$ $1440$ $1200$ $1420$

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37

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 $36$ $12$ $24$ $6$

admin asked in Quantitative Aptitude Feb 2

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38

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 $4350$ $4400$ $4300$ $4200$

admin asked in Quantitative Aptitude Feb 2

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39

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 $62800$ $50240$ $40192$ $60288$

admin asked in Quantitative Aptitude Feb 2

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40

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 $19$ $17$ $16$ $18$

admin asked in Quantitative Aptitude Feb 2

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