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Recent questions tagged quantitative-aptitude

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0 answers
523
CAT 2015 | Question: 81
The set of all positive integers is the union of two disjoint subsets$:\left \{ f\left ( 1 \right ),f\left ( 2 \right ), \dots, f\left ( n \right ), \dots \right \}$ ... $n \geq 1$. What is the value of $g\left ( 1 \right )?$ $0$ $2$ $1$ Cannot be determined
The set of all positive integers is the union of two disjoint subsets$:\left \{ f\left ( 1 \right ),f\left ( 2 \right ), \dots, f\left ( n \right ), \dots \right \}$ and ...
1 votes
1 answer
524
CAT 2015 | Question: 79
If $x^{2}+y^{2}= 0.1$ and $\left | x-y \right |=0.2$, then $\left | x \right |+\left | y \right |$ is equal to $0.3$ $0.4$ $0.2$ $0.6$
If $x^{2}+y^{2}= 0.1$ and $\left | x-y \right |=0.2$, then $\left | x \right |+\left | y \right |$ is equal to$0.3$$0.4$$0.2$$0.6$
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529
CAT 2015 | Question: 83
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}$. Then $\angle \text{DAE}$ is approximately $15^{\circ}$ $20^{\circ}$ $30^{\circ}$ $25^{\circ}$
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}$. Then $\angle \text{DAE}$ is approximately $15^{\circ}$$20^{\circ}$$30^{\circ}$$25^{\circ}$
1 votes
1 answer
531
CAT 2015 | Question: 89
Let $u_{n+1}=2u_{n}+1 \;(n=0,1,2,\dots)$ and $u_{n}=0$. Then $u_{10}$ nearest to ________
Let $u_{n+1}=2u_{n}+1 \;(n=0,1,2,\dots)$ and $u_{n}=0$. Then $u_{10}$ nearest to ________
1 votes
1 answer
535
CAT 2015 | Question: 82
For all non-negative integers $x$ and $y$, $f(x,y)$ is defined as below. $f( 0,y) = y+1$ $f(x+1,0) = f( x, 1)$ $f( x+1, y+1) = f\left( x,f( x+1,y) \right)$ Then what is the value of $f(1,2)$ ________
For all non-negative integers $x$ and $y$, $f(x,y)$ is defined as below.$f( 0,y) = y+1$$f(x+1,0) = f( x, 1)$$f( x+1, y+1) = f\left( x,f( x+1,y) \right)$Then what is the v...
1 votes
2 answers
536
CAT 2015 | Question: 86
Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression? $7$ $64$ $56$ Cannot be determined
Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression?$7$$64$$56$Cannot be determined
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1 answer
537
CAT 2015 | Question: 95
The number of solutions of the equation $2x+y=40$ where both $x$ and $y$ are positive integers and $x\leq y$ is __________
The number of solutions of the equation $2x+y=40$ where both $x$ and $y$ are positive integers and $x\leq y$ is __________
1 votes
1 answer
539
CAT 2015 | Question: 96
If $\log_{y}x=\left ( a \cdot \log_{z} y\right ) = \left ( b \cdot \log_{x}z \right )=ab,$ then which of the following pairs of values for $(a,b)$ is not possible? $(-2, 1/2)$ $(1, 1)$ $(\pi , 1/\pi )$ $(2 ,2)$
If $\log_{y}x=\left ( a \cdot \log_{z} y\right ) = \left ( b \cdot \log_{x}z \right )=ab,$ then which of the following pairs of values for $(a,b)$ is not possible?$(-2, 1...
0 votes
1 answer
540
CAT 2015 | Question: 94
Consider the set $\text{S} = \left \{ 1, 2, 3, \dots,1000 \right \}$. How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and end with $1000$ and have at least $3$ elements? $3$ $4$ $6$ $7$
Consider the set $\text{S} = \left \{ 1, 2, 3, \dots,1000 \right \}$. How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ a...
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541
CAT 2015 | Question: 92
Let $x<0,\:0<y<1,\:z>1$. Which of the following may be false? $\left (x ^{2} -z^{2}\right )$ has to be positive. $yz$ can be less than one. $xy$ can never be zero. $\left (y ^{2} -z^{2}\right )$ is always negative.
Let $x<0,\:0<y<1,\:z>1$. Which of the following may be false?$\left (x ^{2} -z^{2}\right )$ has to be positive.$yz$ can be less than one.$xy$ can never be zero.$\left (y ...
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542
CAT 2015 | Question: 91
The maximum possible value of $y = \min\left ( 1/2-3x^{2}/4,5x^{2}/4 \right )$ for the range $0<x<1$ is $1/3$ $1/2$ $5/27$ $5/16$
The maximum possible value of $y = \min\left ( 1/2-3x^{2}/4,5x^{2}/4 \right )$ for the range $0<x<1$ is$1/3$$1/2$$5/27$$5/16$
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543
CAT 2015 | Question: 90
Let $x<0.50,\:0<y<1, \:z>1.$. Given a set of numbers, the middle number, when they are arranged in ascending order, is called the median. So the median of the numbers $x,y,$ and $z$ would be less than one between $0$ and $1$ greater than $1$ cannot say
Let $x<0.50,\:0<y<1, \:z>1.$. Given a set of numbers, the middle number, when they are arranged in ascending order, is called the median. So the median of the numbers $x,...
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546
CAT 2015 | Question: 100
The angle of elevation of the top of a tower $30$ m high, from two points on the level ground on its opposite sides are $45$ degrees and $60$ degrees. What is the distance between the two points? $30$ $51.96$ $47.32$ $81.96$
The angle of elevation of the top of a tower $30$ m high, from two points on the level ground on its opposite sides are $45$ degrees and $60$ degrees. What is the distanc...
1 votes
1 answer
547
CAT 2015 | Question: 97
When you reverse the digits of the number $13$, the number increases by $18$. How many other two digit numbers increase by $18$ when their digits reversed ___________
When you reverse the digits of the number $13$, the number increases by $18$. How many other two digit numbers increase by $18$ when their digits reversed ___________
1 votes
1 answer
548
CAT 2011 | Question: 4
$\begin{array}{}Let\;f_{n+1}(x)&=f_n(x)+1\;\text{if $n$ is a multiple of 3}\\ &=f_n(x)-1\;\text{otherwise.}\end{array}$ If $f_1(1)=0$, then what is $f_{50}(1)$? $-18$ $-16$ $-17$ Cannot be determined
$\begin{array}{}Let\;f_{n+1}(x)&=f_n(x)+1\;\text{if $n$ is a multiple of 3}\\ &=f_n(x)-1\;\text{otherwise.}\end{array}$If $f_1(1)=0$, then what is $f_{50}(1)$?$-18$$-16$$...
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553
CAT 2011 | Question: 1
The values of the numbers $2^{2004}\:\text{and}\:5^{2004}$ are written one after another. How many digits are there in all? $4008$ $2003$ $2004$ None of these
The values of the numbers $2^{2004}\:\text{and}\:5^{2004}$ are written one after another. How many digits are there in all?$4008$$2003$$2004$None of these
1 votes
1 answer
559
CAT 2011 | Question: 9
Let $\text{S}_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $\text{S}_n=533n,$ find the value of $n$. $18$ $20$ $24$ $30$
Let $\text{S}_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $\text{S}_n=533n,$ find the value of $n$.$18$$20$$24$$30$
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