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Recent questions tagged cat2017-1

3 votes
1 answer
41
CAT 2017 Set-1 | Question: 67
Arun's present age in years is $40\%$ of Barun's. In another few years, Arun's age will be half of Barun' s. By what percentage will Barun's age increase during this period? $15$ None of these $25$ $30$
Arun's present age in years is $40\%$ of Barun's. In another few years, Arun's age will be half of Barun' s. By what percentage will Barun's age increase during this peri...
1 votes
1 answer
51
CAT 2017 Set-1 | Question: 69
An elevator has a weight limit of $630$ kg. It is carrying a group of people of whom the heaviest weighs $57$ kg and the lightest weighs $53$ kg. What is the maximum possible number of people in the group? $12$ $13$ $11$ $14$
An elevator has a weight limit of $630$ kg. It is carrying a group of people of whom the heaviest weighs $57$ kg and the lightest weighs $53$ kg. What is the maximum poss...
1 votes
1 answer
55
CAT 2017 Set-1 | Question: 79
If $a$ and $b$ are integers of opposite signs such that $\left ( a+3 \right )^{2}:b^{2}= 9:1$ and $\left ( a-1 \right )^2 : \left ( b-1 \right )^2= 4:1$ , then the ratio $a^{2}:b^{2}$ is $9:4$ $81:4$ $1:4$ $25: 4$
If $a$ and $b$ are integers of opposite signs such that $\left ( a+3 \right )^{2}:b^{2}= 9:1$ and $\left ( a-1 \right )^2 : \left ( b-1 \right )^2= 4:1$ , then the ratio ...
2 votes
1 answer
59
CAT 2017 Set-1 | Question: 75
The number of girls appearing for an admission test is twice the number of boys. If $30\%$ of the girls and $45\%$ of the boys get admission, the percentage of candidates who do not get admission is $35$ $50$ $60$ $65$
The number of girls appearing for an admission test is twice the number of boys. If $30\%$ of the girls and $45\%$ of the boys get admission, the percentage of candidates...
2 votes
1 answer
63
CAT 2017 Set-1 | Question: 84
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio $1: 1:8: 27: 27$. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the original cube is nearest to $10$ $50$ $60$ $20$
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio $1: 1:8: 27: 27$. The percentage by which the sum of the surface areas of these fi...
1 votes
1 answer
65
CAT 2017 Set-1 | Question: 81
The area of the closed region bounded by the equation $\mid x \mid+\mid y \mid= 2$ in the two-dimensional plane is $4\pi$ $4$ $8$ $2\pi$
The area of the closed region bounded by the equation $\mid x \mid+\mid y \mid= 2$ in the two-dimensional plane is $4\pi$$4$$8$$2\pi$
0 votes
0 answers
67
CAT 2017 Set-1 | Question: 91
The number of solutions $\left ( x, y, z \right )$ to the equation $x-y-z=25$, where $x, y,$ and $z$ are positive integers such that $x\leq 40,y\leq 12,$ and $z\leq 12,$ is $101$ $99$ $87$ $105$
The number of solutions $\left ( x, y, z \right )$ to the equation $x-y-z=25$, where $x, y,$ and $z$ are positive integers such that $x\leq 40,y\leq 12,$ and $z\leq 12,$ ...
1 votes
1 answer
68
CAT 2017 Set-1 | Question: 92
For how many integers $n$, will the inequality $\left ( n-5 \right )\left ( n-10 \right )-3\left ( n-2 \right )\leq 0$ be satisfied? $10$ $11$ $12$ $9$
For how many integers $n$, will the inequality $\left ( n-5 \right )\left ( n-10 \right )-3\left ( n-2 \right )\leq 0$ be satisfied?$10$$11$$12$$9$
1 votes
1 answer
69
CAT 2017 Set-1 | Question: 90
If $9^{2x-1}-81^{x-1}= 1944$ then $x$ is $3$ $9/4$ $4/9$ $1/3$
If $9^{2x-1}-81^{x-1}= 1944$ then $x$ is$3$$9/4$$4/9$$1/3$
1 votes
1 answer
70
CAT 2017 Set-1 | Question: 89
The value of $\log_{0.008}\sqrt{5}+\log_{\sqrt{3}}81-7$ is equal to $1/3$ $2/3$ $5/6$ $7/6$
The value of $\log_{0.008}\sqrt{5}+\log_{\sqrt{3}}81-7$ is equal to$1/3$$2/3$$5/6$$7/6$
1 votes
1 answer
71
CAT 2017 Set-1 | Question: 88
If $x+1= x^{2}$ and $x> 0$, then $2x^{4}$ is $6+4\sqrt{5}$ $3+5\sqrt{5}$ $5+3\sqrt{5}$ $7+3\sqrt{5}$
If $x+1= x^{2}$ and $x 0$, then $2x^{4}$ is$6+4\sqrt{5}$$3+5\sqrt{5}$$5+3\sqrt{5}$$7+3\sqrt{5}$
1 votes
1 answer
72
CAT 2017 Set-1 | Question: 87
Suppose, $\log_{3}x= \log_{12}y= a$, where $x, y$ are positive numbers. If $\text{G}$ is the geometric mean of $x$ and $y$, and $\log_{6}\text{G}$ is equal to $\sqrt{a}$ $2a$ $a/2$ $a$
Suppose, $\log_{3}x= \log_{12}y= a$, where $x, y$ are positive numbers. If $\text{G}$ is the geometric mean of $x$ and $y$, and $\log_{6}\text{G}$ is equal to$\sqrt{a}$$2...
1 votes
1 answer
73
CAT 2017 Set-1 | Question: 98
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$ $20$ $14$ $15$
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$$...
0 votes
1 answer
74
CAT 2017 Set-1 | Question: 96
The shortest distance of the point $\left ( \frac{1}{2}, 1 \right )$ from the curve $y=\mid x-1 \mid+\mid x+1 \mid$ is $1$ $0$ $\sqrt{2}$ $\sqrt{\dfrac{3}{2}}$
The shortest distance of the point $\left ( \frac{1}{2}, 1 \right )$ from the curve $y=\mid x-1 \mid+\mid x+1 \mid$ is $1$$0$$\sqrt{2}$$\sqrt{\dfrac{3}{2}}$
1 votes
1 answer
75
CAT 2017 Set-1 | Question: 95
Let $\text{AB, CD, EF, GH}$, and $\text{JK}$ be five diameters of a circle with center at $\text{O}$. In how many ways can three points be chosen out of $\text{A, B, C, D, E, F, G, H, J, K,} $ and $\text{O}$ so as to form a triangle? $160$ $159$ $169$ $150$
Let $\text{AB, CD, EF, GH}$, and $\text{JK}$ be five diameters of a circle with center at $\text{O}$. In how many ways can three points be chosen out of $\text{A, B, C, D...
1 votes
1 answer
76
CAT 2017 Set-1 | Question: 94
If $a, b, c$ and $d$ are integers such that $a+b+c+d=30$ , then the minimum possible value of $( a-b )^{2}+( a-c )^{2}+( a-d)^{2}$ is $1$ $2$ $5$ $6$
If $a, b, c$ and $d$ are integers such that $a+b+c+d=30$ , then the minimum possible value of $( a-b )^{2}+( a-c )^{2}+( a-d)^{2}$ is $1$$2$$5$$6$
1 votes
1 answer
77
CAT 2017 Set-1 | Question: 93
If $f_{1}\left ( x \right )=x^{2}+11x+n$ and $f_{2}\left ( x \right )=x$, then the largest positive integer $n$ for which the equation $f_{1}\left ( x \right )=f_{2}\left ( x \right )$ has two distinct real roots, is $24$ $23$ $19$ $10$
If $f_{1}\left ( x \right )=x^{2}+11x+n$ and $f_{2}\left ( x \right )=x$, then the largest positive integer $n$ for which the equation $f_{1}\left ( x \right )=f_{2}\left...
1 votes
1 answer
79
CAT 2017 Set-1 | Question: 99
If $f( x)=\dfrac{5x+2}{ 3x-5}$ and $g( x )=x^{2}-2x-1,$ then the value of $g( f( f( 3 ) ) )$ is $2$ $1/3$ $6$ $2/3$
If $f( x)=\dfrac{5x+2}{ 3x-5}$ and $g( x )=x^{2}-2x-1,$ then the value of $g( f( f( 3 ) ) )$ is $2$$1/3$$6$$2/3$
1 votes
1 answer
80
CAT 2017 Set-1 | Question: 100
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive integer $m$ such that $m(a_{1}+ a_{2}+ \ldots + a_{n})>1830$? $8$ $9$ $10$ $11$
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive...
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