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2641
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
1 votes
1 answer
2642
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...
0 votes
1 answer
2643
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$
0 votes
0 answers
2644
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,...
0 votes
1 answer
2645
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...
0 votes
1 answer
2646
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 ...
1 votes
1 answer
2647
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
2648
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 __________
0 votes
0 answers
2651
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
2652
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
2655
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$$...
0 votes
0 answers
2659
CAT 2011 | Question: 1
The values of the numbers $2^{2004}\:\text{and}\:5^{2004}$ are written one after another. How many digits are there in all? $4008$ $2003$ $2004$ None of these
The values of the numbers $2^{2004}\:\text{and}\:5^{2004}$ are written one after another. How many digits are there in all?$4008$$2003$$2004$None of these
1 votes
1 answer
2662
CAT 2011 | Question: 9
Let $\text{S}_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $\text{S}_n=533n,$ find the value of $n$. $18$ $20$ $24$ $30$
Let $\text{S}_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $\text{S}_n=533n,$ find the value of $n$.$18$$20$$24$$30$
0 votes
0 answers
2669
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
0 answers
2672
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\:\...
0 votes
0 answers
2675
CAT 2011 | Question: 22
Study the following table and answer the questions that follow. Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ ... the average disbursement of loans record the highest percentage increase over that of the previous year? $1984$ $1986$ $1985$ $1983$
Study the following table and answer the questions that follow.Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ Crore)$$\begin{array}{|c|c|c|}\hline...
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