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Recent questions tagged cat2016

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1 answer
41
CAT 2016 | Question: 76
The figure shows a circle of diameter $\text{AB}$ and radius $6.5$ cm. If chord $\text{CA}$ is $5$ cm long, find the area of $\triangle \text{ABC}$ __________
The figure shows a circle of diameter $\text{AB}$ and radius $6.5$ cm. If chord $\text{CA}$ is $5$ cm long, find the area of $\triangle \text{ABC}$ __________
1 votes
1 answer
42
CAT 2016 | Question: 79
In $\triangle \text{ABC},\:\angle \text{B}$ is a right angle, $\text{AC} = 6$ cm, and $\text{D}$ is the mid-point of $\text{AC}$. The length of $\text{BD}$ is ___________
In $\triangle \text{ABC},\:\angle \text{B}$ is a right angle, $\text{AC} = 6$ cm, and $\text{D}$ is the mid-point of $\text{AC}$. The length of $\text{BD}$ is ___________...
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CAT 2016 | Question: 75
If $n$ is any odd number greater than $1$, then $n(n^2 – 1)$ is divisible by $96$ always divisible by $48$ always divisible by $24$ always None of these
If $n$ is any odd number greater than $1$, then $n(n^2 – 1)$ isdivisible by $96$ alwaysdivisible by $48$ alwaysdivisible by $24$ alwaysNone of these
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47
CAT 2016 | Question: 83
If $a_1=1$ and $a_{n+1}-3a_n+2=4n$ for every positive integer $n$, then $a_{100}$ equals $3^{99}-200$ $3^{99}+200$ $3^{100}-200$ $3^{100}+200$
If $a_1=1$ and $a_{n+1}-3a_n+2=4n$ for every positive integer $n$, then $a_{100}$ equals$3^{99}-200$$3^{99}+200$$3^{100}-200$$3^{100}+200$
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48
CAT 2016 | Question: 81
In a locality, two-thirds of the people have cable TV, one- fifth have VCR, and one-tenth have both. What is the fraction of people having either cable -TV or VCR? $19/30$ $2/3$ $17/30$ $23/30$
In a locality, two-thirds of the people have cable TV, one- fifth have VCR, and one-tenth have both. What is the fraction of people having either cable -TV or VCR?$19/30$...
1 votes
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49
CAT 2016 | Question: 82
Given the quadratic equation $x^2 – (\text{A} – 3)x – (\text{A} – 2)$, for what value of $\text{A}$ will the sum of the squares of the roots be zero? $-2$ $3$ $6$ $\text{None of these}$
Given the quadratic equation $x^2 – (\text{A} – 3)x – (\text{A} – 2)$, for what value of $\text{A}$ will the sum of the squares of the roots be zero?$-2$$3$$6$$\t...
1 votes
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52
CAT 2016 | Question: 86
A man travels three-fifths of a distance $\text{AB}$ at a speed $3a$, and the remaining at a speed $2b$. If he goes from $\text{B}$ to $\text{A}$ and return at a speed $5c$ in the same time, then $1/a+1/b=1/c$ $a+b=c$ $1/a+1/b=2/c$ $\text{None of these}$.
A man travels three-fifths of a distance $\text{AB}$ at a speed $3a$, and the remaining at a speed $2b$. If he goes from $\text{B}$ to $\text{A}$ and return at a speed $5...
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CAT 2016 | Question: 85
Two liquids $A$ and $B$ are in the ratio $5 : 1$ in container $1$ and $1 : 3$ in container $2$. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio $1 : 1$? $2:3$ $4:3$ $3:2$ $3:4$
Two liquids $A$ and $B$ are in the ratio $5 : 1$ in container $1$ and $1 : 3$ in container $2$. In what ratio should the contents of the two containers be mixed so as to ...
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55
CAT 2016 | Question: 93
I sold two watches for Rs. $300$ each, one at the loss of $10\%$ and the other at the profit of $10\%$. What is the percentage of loss$(–)$ or profit$(+)$ that resulted from the transaction? $(+)10$ $(-)1$ $(+)1$ $(-)10$
I sold two watches for Rs. $300$ each, one at the loss of $10\%$ and the other at the profit of $10\%$. What is the percentage of loss$(–)$ or profit$(+)$ that resulted...
1 votes
1 answer
58
CAT 2016 | Question: 91
A man has $9$ friends: $4$ boys and $5$ girls. In how many ways can he invite them, if there have to be exactly $3$ girls in the invitees ________
A man has $9$ friends: $4$ boys and $5$ girls. In how many ways can he invite them, if there have to be exactly $3$ girls in the invitees ________
1 votes
1 answer
59
CAT 2016 | Question: 90
The points of intersection of three lines $2\text{X} + 3\text{Y} – 5 = 0, 5\text{X} – 7\text{Y} + 2 = 0$ and $9\text{X} – 5\text{Y} – 4= 0$ form a triangle are on lines perpendicular to each other are on lines parallel to each other are coincident
The points of intersection of three lines $2\text{X} + 3\text{Y} – 5 = 0, 5\text{X} – 7\text{Y} + 2 = 0$ and $9\text{X} – 5\text{Y} – 4= 0$form a triangleare on l...
1 votes
1 answer
60
CAT 2016 | Question: 89
What value of $x$ satisfy $x^{2/3} + x^{1/3} - 2 \leq 0$? $-8\leq x \leq 1$ $-1\leq x \leq 8$ $1< x <8$ $1\leq x \leq 8$ $-8\leq x \leq 8$
What value of $x$ satisfy $x^{2/3} + x^{1/3} - 2 \leq 0$?$-8\leq x \leq 1$$-1\leq x \leq 8$$1< x <8$$1\leq x \leq 8$$-8\leq x \leq 8$
1 votes
1 answer
61
CAT 2016 | Question: 97
What is the sum of all two-digit numbers that give a remainder of $3$ when they are divided by $7?$ $666$ $676$ $683$ $777$
What is the sum of all two-digit numbers that give a remainder of $3$ when they are divided by $7?$$666$$676$$683$$777$
1 votes
1 answer
63
CAT 2016 | Question: 96
If $\log_{10}x-\log_{10}\sqrt x=2 \log_x10$, then a possible value of $x$ is given by $10$ $1/100$ $1/1000$ None of these
If $\log_{10}x-\log_{10}\sqrt x=2 \log_x10$, then a possible value of $x$ is given by$10$$1/100$$1/1000$None of these
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CAT 2016 | Question: 99
If both $a$ and $b$ belong to the set $\{1,2,3,4\}$, then the number of equations of the form $ax^2+bx+1=0$ having real roots is _______
If both $a$ and $b$ belong to the set $\{1,2,3,4\}$, then the number of equations of the form $ax^2+bx+1=0$ having real roots is _______
1 votes
1 answer
66
CAT 2016 | Question: 100
If three positive real numbers $x,y,z$ satisfy $y–x=z–y$ and $xyz = 4$, then what is the minimum possible value of $y$? $2^{(1/3)}$ $2^{(2/3)}$ $2^{(1/4)}$ $2^{(3/4)}$
If three positive real numbers $x,y,z$ satisfy $y–x=z–y$ and $xyz = 4$, then what is the minimum possible value of $y$?$2^{(1/3)}$$2^{(2/3)}$$2^{(1/4)}$$2^{(3/4)}$
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