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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 ___________
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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 $\triangle \text{ABC}$ __________
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CAT 2016 | Question: 80
A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their dig...
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CAT 2016 | Question: 78
Once I had been to the post office to buy five-rupee, two- rupee and one-rupee stamps. I paid the clerk Rs. $20$, and since he had no change, he gave me three more one-ru...
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CAT 2016 | Question: 77
A watch dealer incurs an expense of Rs. $150$ for producing every watch. He also incurs an additional expenditure of Rs. $30,000$, which is independent of the number of w...
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CAT 2016 | Question: 75
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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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$$3^{100}+200$
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CAT 2016 | Question: 81
In a locality, two-thirds of the people have cable TV, one- fifth have VCR, and one-tenth have both. What is the fraction of people having either cable -TV or VCR?$19/30$...
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CAT 2016 | Question: 82
Given the quadratic equation $x^2 – (\text{A} – 3)x – (\text{A} – 2)$, for what value of $\text{A}$ will the sum of the squares of the roots be zero?$-2$$3$$6$$\text{None...
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CAT 2016 | Question: 88
Out of two-thirds of the total number of basketball matches, a team has won $17$ matches and lost $3$ of them. What is the maximum number of matches that the team can los...
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CAT 2016 | Question: 87
There are five machines A, B C, D and E situated on a straight line at distances of $10$ metres, $20$ metres, $30$ metres, $40$ metres and $50$ metres respectively from t...
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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 $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 ...
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CAT 2016 | Question: 84
In a mile race, Akshay can be given a start of $128\:\text{m}$ by Bhairav. If Bhairav can give Chinmay a start of $4\:\text{m}$ in a $100\:\text{m}$ dash, then who out ...
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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 f...
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CAT 2016 | Question: 94
A series $\text{S1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $\text{S2...
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CAT 2016 | Question: 92
In a watch, the minute hand crosses the hour hand for the third time exactly after every $3$ hr $18$ min and $15$ s of watch time. What is the time gained or lost by this...
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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 ________
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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 triangleare on lines per...
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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$
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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$
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CAT 2016 | Question: 98
There are $12$ towns grouped into four zones with three towns per zone. It is intended to connect the towns with telephone lines such that every two towns are connected w...
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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
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CAT 2016 | Question: 95
A series $\text{S1}$ of five positive integers is such that the third term is half the first term and the fifth term is $20$ more than the first term. In series $\text{S2...
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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 _______
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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)}$
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CAT 2016 | Question: 5
A number of sentences are given below which, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. However, One of the statement is...
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CAT 2016 | Question: 3
Arrange the sentences A,B,C and D to form a logical sequence between sentences $1$ and $6$.Intensity of competition in an industry is neither a matter of coincidence not ...
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CAT 2016 | Question: 2
Arrange the sentences A,B,C and D to form a logical sequence between sentences $1$ and $6$.The main source of power in industrial undertaking is electricity. Electricity ...
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CAT 2016 | Question: 4
Arrange the sentences A, B, C and D to form a logical sequence between sentences $1$ and $6$.The New Economic Policy comprises the various policy measures and changes int...
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CAT 2016 | Question: 1
Arrange the sentences A,B,C and D to form a logical sequence between sentences $1$ and $6$.Amount of published information available varies widely by industry.Unfortunate...
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CAT 2016 | Question: 12
A conservation problem equally as important as that of soil erosion is the loss of soil fertility. Most agriculture was originally supported by the natural fertility of t...
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CAT 2016 | Question: 11
A conservation problem equally as important as that of soil erosion is the loss of soil fertility. Most agriculture was originally supported by the natural fertility of t...
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CAT 2016 | Question: 10
In research designed to investigate the possibility of animals developing friendship with other, unrelated, members of their species, a group of $29$ chimpanzees were rea...
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CAT 2016 | Question: 9
French cuisine is highly regarded all over the world. Yet in Paris there are more American restaurants selling burgers and fries (which many people now class as junk food...
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CAT 2016 | Question: 8
Evidence has been presented that the unconscious mind, still viewed by many psychological scientists as the shadow of a “real” conscious mind, is identifiably more delibe...
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CAT 2016 | Question: 7
A number of sentences are given below which, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. However, One of the statements i...
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CAT 2016 | Question: 6
A number of sentences are given below which, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. However, One of the statements i...
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CAT 2016 | Question: 19
Scientism has left humanity in our technical mastery of inanimate nature, but improvised us in our quest for an answer to the riddle of the universe and of our existence ...
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CAT 2016 | Question: 18
Scientism has left humanity in our technical mastery of inanimate nature, but improvised us in our quest for an answer to the riddle of the universe and of our existence ...
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