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Recent questions tagged quantitative-aptitude

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562
CAT 2011 | Question: 17
The graphs given alongside represent two functions $f(x)\:\text{and}\:g(x)$ respectively. Which of the following is true? $g(x)=[f(x)]$ $g(x)=f(-x)$ $g(x)=-f(x)$ None of these
The graphs given alongside represent two functions $f(x)\:\text{and}\:g(x)$ respectively. Which of the following is true? $g(x)=[f(x)]$$g(x)=f(-x)$$g(x)=-f(x)$None ...
0 votes
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563
CAT 2011 | Question: 20
Consider the function given by $f(x) =\mid x-1\mid-x$ What is the area of the triangle bounded by the graph of the given function with the coordinate axis given by $x=0\:\text{and}\:y=0$? $2$ $\large\frac{1}{4}$ $\large\frac{1}{2}$ $1$
Consider the function given by $f(x) =\mid x-1\mid-x$What is the area of the triangle bounded by the graph of the given function with the coordinate axis given by $x=0\:\...
1 votes
1 answer
567
CAT 2019 Set-1 | Question: 68
The income of Amala is $20\%$ more than that of Bimala and $20\%$ less than that of Kamala. If Kamala's income goes down by $4\%$ and Bimala’s goes up by $10\%$, then the percentage by which Kamala's income would exceed Bimala’s is nearest to $31$ $28$ $32$ $29$
The income of Amala is $20\%$ more than that of Bimala and $20\%$ less than that of Kamala. If Kamala's income goes down by $4\%$ and Bimala’s goes up by $10\%$, then t...
2 votes
1 answer
568
CAT 2019 Set-1 | Question: 67
If $m$ and $n$ are integers such that $(\sqrt{2})^{19}3^{4}4^{2}9^{m}8^{n}=3^{n}16^{m}(\sqrt[4]{64})$ then $m$ is $-20$ $-12$ $-24$ $-16$
If $m$ and $n$ are integers such that $(\sqrt{2})^{19}3^{4}4^{2}9^{m}8^{n}=3^{n}16^{m}(\sqrt[4]{64})$ then $m$ is$-20$$-12$$-24$$-16$
2 votes
1 answer
569
CAT 2019 Set-1 | Question: 72
Let $\text{S}$ be the set of all points $(x,y)$ in the $x-y$ plane such that $|x|+|y|\leq 2$ and $|x|\geq 1$. Then, the area, in square units, of the region represented by $\text{S}$ equals ________
Let $\text{S}$ be the set of all points $(x,y)$ in the $x-y$ plane such that $|x|+|y|\leq 2$ and $|x|\geq 1$. Then, the area, in square units, of the region represented b...
1 votes
1 answer
570
CAT 2019 Set-1 | Question: 70
On selling a pen at $5\%$ loss and a book at $15\%$ gain, Karim gains Rs. $7$. If he sells the pen at $5\%$ gain and the book at $10\%$ gain, he gains Rs. $13$. What is the cost price of the book in Rupees? $80$ $85$ $95$ $100$
On selling a pen at $5\%$ loss and a book at $15\%$ gain, Karim gains Rs. $7$. If he sells the pen at $5\%$ gain and the book at $10\%$ gain, he gains Rs. $13$. What is t...
1 votes
1 answer
571
CAT 2019 Set-1 | Question: 69
In a class, $60\%$ of the students are girls and the rest are boys. There are $30$ more girls than boys. If $68\%$ of the students, including $30$ boys, pass an examination, the percentage of the girls who do not pass is _______
In a class, $60\%$ of the students are girls and the rest are boys. There are $30$ more girls than boys. If $68\%$ of the students, including $30$ boys, pass an examinati...
1 votes
1 answer
575
CAT 2019 Set-1 | Question: 71
Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is $5:6$ $4:5$ $3:4$ $2:3$
Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is $5:6$$4:5$$3:4$$2:3$
2 votes
1 answer
576
CAT 2019 Set-1 | Question: 77
With rectangular axes of coordinates, the number of paths from $(1,1)$ to $(8,10)$ via $(4,6)$, where each step from any point $(x,y)$ is either to $(x,y+1)$ or to $(x+1, y)$, is _______
With rectangular axes of coordinates, the number of paths from $(1,1)$ to $(8,10)$ via $(4,6)$, where each step from any point $(x,y)$ is either to $(x,y+1)$ or to $(x+1,...
1 votes
1 answer
577
CAT 2019 Set-1 | Question: 81
Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in $13$ days, then how many men can finish the job in $13$ days?______
Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in $13$ da...
2 votes
1 answer
578
CAT 2019 Set-1 | Question: 80
Let T be the triangle formed by the straight line $3x+5y-45=0$ and T the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is ______
Let T be the triangle formed by the straight line $3x+5y-45=0$ and T the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as ...
1 votes
1 answer
581
CAT 2019 Set-1 | Question: 76
In a circle of radius $11$ cm, CD is a diameter and AB is a chord of length $20.5$ cm. If AB and CD intersect at a point E inside the circle and CE has length $7$ cm, then the difference of the lengths of BE and AE, in cm, is $2.5$ $3.5$ $0.5$ $1.5$
In a circle of radius $11$ cm, CD is a diameter and AB is a chord of length $20.5$ cm. If AB and CD intersect at a point E inside the circle and CE has length $7$ cm, the...
1 votes
1 answer
583
CAT 2019 Set-1 | Question: 87
For any positive integer $n$, let $f(n)=n(n+1)$ if n is even, and $f(n)=n+3$ if n is odd. if $m$ is a positive integer such that $8f(m+1)-f(m)=2$, then $m$ equals _______
For any positive integer $n$, let $f(n)=n(n+1)$ if n is even, and $f(n)=n+3$ if n is odd. if $m$ is a positive integer such that $8f(m+1)-f(m)=2$, then $m$ equals ______...
2 votes
1 answer
586
CAT 2019 Set-1 | Question: 83
If $(5.55)^{x}=(0.555)^{y}=1000$, then the value of $\frac{1}{x}-\frac{1}{y}$ is $3$ $1$ $\frac{1}{3}$ $\frac{2}{3}$
If $(5.55)^{x}=(0.555)^{y}=1000$, then the value of $\frac{1}{x}-\frac{1}{y}$ is$3$$1$$\frac{1}{3}$$\frac{2}{3}$
2 votes
1 answer
588
CAT 2019 Set-1 | Question: 84
The product of the distinct roots of $|x^{2}-x-6|=x+2$ is $-8$ $-24$ $-4$ $-16$
The product of the distinct roots of $|x^{2}-x-6|=x+2$ is$-8$$-24$$-4$$-16$
2 votes
1 answer
592
CAT 2019 Set-1 | Question: 94
If the rectangular faces of a brick have their diagonals in the ratio $3:2\sqrt{3}:\sqrt{15}$, then the ratio of the length of the shortest edge of the brick to that of its longest edge is $\sqrt{3}:2$ $2:\sqrt{5}$ $1:\sqrt{3}$ $\sqrt{2}:\sqrt{3}$
If the rectangular faces of a brick have their diagonals in the ratio $3:2\sqrt{3}:\sqrt{15}$, then the ratio of the length of the shortest edge of the brick to that of i...
1 votes
1 answer
593
CAT 2019 Set-1 | Question: 92
Let $x$ and $y$ be positive real numbers such that $\log _{5}(x+y)+\log _{5}(x-y)=3$, and $\log _{2}y-\log _{2}x=1-\log_{2}3$. Then $xy$ equals $250$ $25$ $100$ $150$
Let $x$ and $y$ be positive real numbers such that $\log _{5}(x+y)+\log _{5}(x-y)=3$, and $\log _{2}y-\log _{2}x=1-\log_{2}3$. Then $xy$ equals$250$$25$$100$$150$
2 votes
1 answer
594
CAT 2019 Set-1 | Question: 91
The number of the real roots of the equation $2\cos (x(x+1))=2^{x}+2^{-x}$ is $2$ $1$ infinite $0$
The number of the real roots of the equation $2\cos (x(x+1))=2^{x}+2^{-x}$ is$2$$1$infinite$0$
1 votes
1 answer
595
CAT 2019 Set-1 | Question: 90
Consider a function $f$ satisfying $f(x+y)=f(x)f(y)$ where $x,y$ are positive integers, and $f(1)=2$. If $f(a+1)+f(a+2)+\ldots +f(a+n)=16(2^{n}-1)$ then $a$ is equal to ______
Consider a function $f$ satisfying $f(x+y)=f(x)f(y)$ where $x,y$ are positive integers, and $f(1)=2$. If $f(a+1)+f(a+2)+\ldots +f(a+n)=16(2^{n}-1)$ then $a$ is equal to _...
2 votes
1 answer
596
CAT 2019 Set-1 | Question: 89
If $a_{1}+a_{2}+a_{3}+\dots+a_{n}=3(2^{n+1}-2)$, for every $n\geq 1$, then $a_{11}$ equals ______
If $a_{1}+a_{2}+a_{3}+\dots+a_{n}=3(2^{n+1}-2)$, for every $n\geq 1$, then $a_{11}$ equals ______
2 votes
1 answer
598
CAT 2019 Set-1 | Question: 98
In a race of three horses, the first beat the second by $11$ metres and the third by $90$ metres. If the second beat the third by $80$ metres, what was the length, in metres,of the racecourse _________
In a race of three horses, the first beat the second by $11$ metres and the third by $90$ metres. If the second beat the third by $80$ metres, what was the length, in met...
1 votes
1 answer
599
CAT 2019 Set-1 | Question: 99
The number of solutions to the equation $|x|(6x^{2}+1)=5x^{2}$ is _________
The number of solutions to the equation $|x|(6x^{2}+1)=5x^{2}$ is _________
2 votes
1 answer
600
CAT 2019 Set-1 | Question: 100
The product of two positive numbers is $616$. If the ratio of the difference of their cubes to the cube of their difference is $157:3$, then the sum of the two numbers is $58$ $50$ $95$ $85$
The product of two positive numbers is $616$. If the ratio of the difference of their cubes to the cube of their difference is $157:3$, then the sum of the two numbers i...
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