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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 recruitment. A composite score for a candidate (out of $80$) is calculated ... score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI ________

go_editor asked in Logical Reasoning Mar 20, 2020

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2

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 recruitment. A composite score for a candidate (out of $80$) is calculated by doubling ... was less than that of Falak. Bala's composite score was less than that of Ester. Bala scored same as Jatin in DI.

go_editor asked in Logical Reasoning Mar 20, 2020

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3

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 recruitment. A composite score for a candidate (out of $80$) is calculated by doubling her marks in DI and ... DI. Jatin scored more than Indu in GA. Only $2$ Only $1$ Both $1$ and $2$ Both $2$ and $3$

go_editor asked in Logical Reasoning Mar 20, 2020

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4

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 pumps among $\text{P1 - P5}$ were recorded as high. $\text{P6}$ was the only ... pumps at which the contamination levels were recorded as medium? Exactly $8$. More than $4$. At least $8$. At most $9$.

go_editor asked in Logical Reasoning Mar 20, 2020

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5

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 pumps among $\text{P1 - P5}$ were recorded as high. $\text{P6}$ was the only ... $\text{P17}$ were recorded as the same. Contamination levels at $\text{P11}$ and $\text{P16}$ were recorded as the same.

go_editor asked in Logical Reasoning Mar 20, 2020

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6

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 pumps among $\text{P1 - P5}$ were recorded as high. $\text{P6}$ was ... medium. The contamination level at $\text{P15}$ was recorded as medium. The contamination level at $\text{P18}$ was recorded as low.

go_editor asked in Logical Reasoning Mar 20, 2020

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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 two committees are of the same size. Each committee has three types of ... committee, and $20\%$ are in the teaching committee. What is the number of bureaucrats in the administration committee?

go_editor asked in Logical Reasoning Mar 20, 2020

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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 two committees are of the same size. Each committee has three types of people: ... committee, and $20\%$ are in the teaching committee. What is the number of educationalists in the research committee?

go_editor asked in Logical Reasoning Mar 20, 2020

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9

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 two committees are of the same size. Each committee has three types of ... equal to the number of educationalists. The size of the research committee is less than the size of the teaching committee.

go_editor asked in Logical Reasoning Mar 20, 2020

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10

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 two committees are of the same size. Each committee has three types of ... total number of bureaucrats in the three committees. The size of the research committee. The size of the teaching committee.

go_editor asked in Logical Reasoning Mar 20, 2020

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11

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 recruitment. A composite score for a candidate (out of $80$) is calculated ... If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE _______

go_editor asked in Logical Reasoning Mar 20, 2020

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12

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 ratio of the geometric progression is $3/6$ $3/2$ $5/2$ $1/6$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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13

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 paint $\text{A}$ per litre is Rs. $8$ more than that of paint $\text{B}$. If ... makes a profit of $10\%$, then the highest possible cost of paint $\text{B}$, in Rs. per litre, is $26$ $16$ $20$ $22$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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14

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 $67$ $40$ $32$ $59$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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15

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 towards $\text{B}$. Simultaneously, car $2$ starts from $\text{B}$ and ... is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $\text{P}$ from $\text{A}$ is ___________

go_editor asked in Quantitative Aptitude Mar 20, 2020

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16

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 $35/4$ $37/4$ $31/4$ $33/4$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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17

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 circle, in cm, is $\sqrt{12}$ $\sqrt{14}$ $\sqrt{13}$ $\sqrt{11}$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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18

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 tank gets completely filled in $6$ hours when $6$ filling and $5$ ... draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?

go_editor asked in Quantitative Aptitude Mar 20, 2020

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19

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 the sum of squares of the other two numbers is _________

go_editor asked in Quantitative Aptitude Mar 20, 2020

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20

CAT 2018 Set-1 | Question: 78
If $x$ is a positive quantity such that $2^x=3^{\log_52}$, then $x$ is equal to $1+\log_3\dfrac{5}{3}$ $\log_58$ $1+\log_5\dfrac{3}{5}$ $\log_59$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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21

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 triangle $\text{T3}$ is formed by joining the midpoints of the sides of $\text{T2}$. If this ... many such triangles $\text{T1, T2, T3}, \dots$ will be $164\sqrt 3$ $188\sqrt 3$ $248\sqrt 3$ $192\sqrt 3$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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22

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 the people in the apartment complex is $38$ years. What is the largest possible average age, in years, of the people whose ages are below $51$ years? $27$ $28$ $26$ $25$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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23

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 $93$ $26$ $23$ $96$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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24

CAT 2018 Set-1 | Question: 77
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ? $1/4$ $0$ $1/2$ $-1/4$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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25

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 $\text{H}$ and $\text{E}$, but not $\text{P}$. Every student who ... the number of students studying $\text{H}$ equals that studying $\text{E}$, then the number of students studying $\text{H}$ is _________

go_editor asked in Quantitative Aptitude Mar 20, 2020

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26

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 $\text{X}$ at $4$ pm. The two trains pass each other at a station $\text{Z}$, where ... $\text{X}$ and $\text{Y}$. How many hours does train $\text{T}$ take for its journey from $\text{X}$ to $\text{Y}$?

go_editor asked in Quantitative Aptitude Mar 20, 2020

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27

CAT 2018 Set-1 | Question: 82
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$ $\log_68$ $\log_616$ $\log_28$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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28

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 $9$ ft from the base. With $\pi = 22/7$, the volume, in cubic ft, of the remaining part of the cone is ________

go_editor asked in Quantitative Aptitude Mar 20, 2020

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29

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 $62.5\%$ of that of $\text{ABCD}$ and $\text{CG}$ is longer than $\text{EB}$, then the ratio of length of $\text{EB}$ to that of $\text{CG}$ is $2:5$ $4:9$ $3:8$ $1:3$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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30

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 $\text{OA, OB}$ and the arc $\text{AB}$. If $\text{C}$ and $\text{D}$ ... $\bigg(\dfrac{\pi}{6} \bigg)^\frac{1}{2} \\$ $\bigg(\dfrac{\pi}{4\sqrt 3} \bigg)^\frac{1}{2}$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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31

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 $\text{ABCD}?$ $24,10$ $25,9$ $24,12$ $25,10$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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32

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 that with Lalitha became $5:6$. What fraction of her original number of marbles was given by Lalitha to Raju? $1/4$ $7/33$ $1/5$ $6/19$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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33

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 last $10$ tests are not considered. If his average scores for the first $10$ and the last $10$ tests are $20$ and $30$, respectively, then the total number of tests taken by him is ________

go_editor asked in Quantitative Aptitude Mar 20, 2020

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34

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 of walnuts at a profit of $20\%$ to a shopkeeper. However, the shopkeeper lost $5$ kg ... overall profit of $25\%$. At what price, in Rs. per kg, did the wholesaler buy the walnuts? $98$ $96$ $84$ $86$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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35

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 $\text{CD}$ such that $\text{AP}$ is perpendicular to $\text{CD}$. Then the area, in sq cm, of triangle $\text{APD}$ is $18\sqrt 3$ $24\sqrt 3$ $32\sqrt 3$ $12\sqrt 3$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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36

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 by $68\%$. Which one of the following is then correct? $\text{N} \leq 200$ $243\leq \text{N} \leq 252$ $\text{N} \geq 253$ $201 \leq \text{N} \leq 242$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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37

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 ________

go_editor asked in Quantitative Aptitude Mar 20, 2020

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38

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 _______

go_editor asked in Quantitative Aptitude Mar 20, 2020

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39

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 appear in the ascending order?

go_editor asked in Quantitative Aptitude Mar 20, 2020

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40

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 $3 : 2$, and $5\%$ if this ratio is $2 : 3$. The cost prices, per kg, of $\text{A}$ and $\text{B}$ are in the ratio $18:25$ $19:24$ $21:25$ $17:25$

go_editor asked in Quantitative Aptitude Mar 20, 2020

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