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CAT 2018 Set-1 | Question: 61
A company administers a written test comprising of three sections of $20$ marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recr...
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CAT 2018 Set-1 | Question: 60
A company administers a written test comprising of three sections of $20$ marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recr...
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CAT 2018 Set-1 | Question: 59
A company administers a written test comprising of three sections of $20$ marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recr...
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CAT 2018 Set-1 | Question: 56
Fuel contamination levels at each of $20$ petrol pumps $\text{P1, P2}, \dots , \text{P20}$ were recorded as either high, medium, or low.Contamination levels at three pump...
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CAT 2018 Set-1 | Question: 58
Fuel contamination levels at each of $20$ petrol pumps $\text{P1, P2}, \dots , \text{P20}$ were recorded as either high, medium, or low.Contamination levels at three pump...
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CAT 2018 Set-1 | Question: 57
Fuel contamination levels at each of $20$ petrol pumps $\text{P1, P2}, \dots , \text{P20}$ were recorded as either high, medium, or low.Contamination levels at three pump...
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CAT 2018 Set-1 | Question: 64
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No ...
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CAT 2018 Set-1 | Question: 65
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No ...
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CAT 2018 Set-1 | Question: 63
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No ...
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0 0 answers
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CAT 2018 Set-1 | Question: 66
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No ...
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0 0 answers
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CAT 2018 Set-1 | Question: 62
A company administers a written test comprising of three sections of $20$ marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recr...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 67
Let $x, y, z$ be three positive real numbers in a geometric progression such that $x < y < z$. If $5x$, $16y$, and $12z$ are in an arithmetic progression then the common ...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 72
A trader sells $10$ litres of a mixture of paints $\text{A}$ and $\text{B}$, where the amount of $\text{B}$ in the mixture does not exceed that of $\text{A}$. The cost of...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 71
If $\log_2(5+\log_3a)=3$ and $\log_5(4a+12+\log_2b)=3$, then $a+b$ is equal to$67$$40$$32$$59$
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 70
Point $\text{P}$ lies between points $\text{A}$ and $\text{B}$ such that the length of $\text{BP}$ is thrice that of $\text{AP}$. Car $1$ starts from $\text{A}$ and moves...
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1 answers 1 answer
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CAT 2018 Set-1 | Question: 69
Given that $x^{2018}y^{2017}=1/2$ and $x^{2016}y^{2019}=8$, the value of $x^2+y^3$ is$35/4$$37/4$$31/4$$33/4$
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 73
In a circle, two parallel chords on the same side of a diameter have lengths $4$ cm and $6$ cm. If the distance between these chords is $1$ cm, then the radius of the cir...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 68
A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty t...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 79
While multiplying three real numbers, Ashok took one of the numbers as $73$ instead of $37$. As a result, the product went up by $720$. Then the minimum possible value of...
2 2 votes
1 answers 1 answer
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CAT 2018 Set-1 | Question: 78
If $x$ is a positive quantity such that $2^x=3^{\log_52}$, then $x$ is equal to$1+\log_3\dfrac{5}{3}$$\log_58$$1+\log_5\dfrac{3}{5}$$\log_59$
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 76
Given an equilateral triangle $\text{T1}$ with side $24$ cm, a second triangle $\text{T2}$ is formed by joining the midpoints of the sides of $\text{T1}$. Then a third tr...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 75
In an apartment complex, the number of people aged $51$ years and above is $30$ and there are at most $39$ people whose ages are below $51$ years. The average age of all ...
3 3 votes
1 answers 1 answer
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CAT 2018 Set-1 | Question: 74
If among $200$ students, $105$ like pizza and $134$ like burger, then the number of students who like only burger can possibly be$93$$26$$23$$96$
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 77
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ?$1/4$$0$$1/2$$-1/4$
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 84
Each of $74$ students in a class studies at least one of the three subjects $\text{H, E}$ and $\text{P}$. Ten students study all three subjects, while twenty study $\text...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 83
Train $\text{T}$ leaves station $\text{X}$ for station $\text{Y}$ at $3$ pm. Train $S$, traveling at three quarters of the speed of $\text{T}$, leaves $\text{Y}$ for $\te...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 82
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$$\log_68$$\log_616$$\log_28$
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 81
A right circular cone, of height $12$ ft, stands on its base which has diameter $8$ ft. The tip of the cone is cut off with a plane which is parallel to the base and $9$ ...
2 2 votes
1 answers 1 answer
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CAT 2018 Set-1 | Question: 80
Points $\text{E, F, G, H}$ lie on the sides $\text{AB, BC, CD}$, and $\text{DA}$, respectively, of a square $\text{ABCD}$. If $\text{EFGH}$ is also a square whose area is...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 90
In a circle with center $\text{O}$ and radius $1$ cm, an arc $\text{AB}$ makes an angle $60$ degrees at $\text{O}$. Let $\text{R}$ be the region bounded by the radii $\te...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 88
Let $\text{ABCD}$ be a rectangle inscribed in a circle of radius $13$ cm. Which one of the following pairs can represent, in cm, the possible length and breadth of $\text...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 87
Raju and Lalitha originally had marbles in the ratio $4:9$. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to th...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 86
A $\text{CAT}$ aspirant appears for a certain number of tests. His average score increases by $1$ if the first $10$ tests are not considered, and decreases by $1$ if the ...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 85
A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg. He then sold $8$ kg of peanuts at a profit of $10\%$ and $16$ kg o...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 89
In a parallelogram $\text{ABCD}$ of area $72$ sq cm, the sides $\text{CD}$ and $\text{AD}$ have lengths $9$ cm and $16$ cm, respectively. Let $\text{P}$ be a point on $\t...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 94
In an examination, the maximum possible score is $\text{N}$ while the pass mark is $45\%$ of $\text{N}$. A candidate obtains $36$ marks, but falls short of the pass mark ...
2 2 votes
1 answers 1 answer
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CAT 2018 Set-1 | Question: 93
If $f(x+2)=f(x)+f(x+1)$ for all positive integers $x$, and $f(11)=91,f(15)=617$, then $f(10)$ equals ________
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 92
The number of integers $x$ such that $0.25 < 2^x < 200$, and $2^x +2$ is perfectly divisible by either $3$ or $4$, is _______
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 91
How many numbers with two or more digits can be formed with the digits $1,2,3,4,5,6,7,8,9$, so that in every such number, each digit is used at most once and the digits a...
2 2 votes
1 1 answer
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CAT 2018 Set-1 | Question: 95
Two types of tea, $\text{A}$ and $\text{B}$, are mixed and then sold at Rs. $40$ per kg. The profit is $10\%$ if $\text{A}$ and $\text{B}$ are mixed in the ratio $3 : 2$,...
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