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Recent questions in Quantitative Aptitude

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1 answer
1
A train is 250 m long and it runs at a speed of 50km/hr . Then in how much time the train will pass the Power/Electic Pole .
A train is 250 m long and it runs at a speed of 50km/hr . Then in how much time the train will pass the Power/Electic Pole .
0 votes
1 answer
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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...
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3
Coffee or tea come with dinner inclusive or exclusive
1 votes
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6
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$-60$ $-50$ $60$ $-70$
2 votes
1 answer
7
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 $0$ $3$ $4$ $1$
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 inte...
1 votes
0 answers
8
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
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{s...
2 votes
1 answer
11
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 $22 .5$ $23$ $23 .5$ $24$
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 pos...
1 votes
1 answer
12
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 $x \leq r$ $x>r$ $x \geq r$ $x \neq r$
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 $f(x)=f(f(x))$ hol...
1 votes
1 answer
15
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 $-2$ $2$ $\frac{1}{2}$ $-\frac{1}{2}$
The minimum possible value of $\frac{x^{2}-6 x+10}{3-x}$, for $x<3$, is$-2$$2$$\frac{1}{2}$$-\frac{1}{2}$
1 votes
1 answer
17
CAT 2022 Set-3 | Quantitative Aptitude | Question: 13
If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of $a$ and $b$, then the value of $x+y$ is
If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of...
1 votes
0 answers
21
CAT 2022 Set-3 | Quantitative Aptitude | Question: 17
Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\mathrm{x}$. Then, the number of possible values of $\mathrm{k}$ is $7$ $9$ $8$ $13$
Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\math...
1 votes
0 answers
22
CAT 2022 Set-3 | Quantitative Aptitude | Question: 18
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is $2442$ $3333$ $2592$ $2222$
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is$2442$$3333$$2592$$2222$
1 votes
0 answers
23
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 $5$ $4$ $3$ $6$
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 tota...
1 votes
0 answers
26
CAT 2022 Set-3 | Quantitative Aptitude | Question: 22
The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is
The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is
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29
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 $\mathrm{B}$ ...
0 votes
0 answers
30
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
0 votes
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31
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...
0 votes
0 answers
32
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$$4$
0 votes
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34
CAT 2022 Set-2 | Quantitative Aptitude | Question: 8
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is $1480$ $1440$ $1200$ $1420$
The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is$1480$$1440$$1200$$1420$
1 votes
0 answers
35
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$
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