Recent questions tagged cat2018-1 - Aptitude Overflow

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1

CAT2018-1: 58
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where ... same. Contamination levels at $P13$ and $P17$ were recorded as the same. Contamination levels at P11 and P16 were recorded as the same.

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 35 views

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2

CAT2018-1: 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 adding it to ... in DI. Jatin scored more than Indu in GA. Only $2$ Only $1$ Both $1$ and $2$ Both $2$ and $3$

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 27 views

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3

CAT2018-1: 57
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where ... $P15$ was recorded as medium. The contamination level at $P18$ was recorded as low.

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 40 views

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4

CAT2018-1: 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 by doubling ... composite score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI? ________

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 25 views

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5

CAT2018-1: 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 her marks ... score was less than that of Falak. Bala's composite score was less than that of Ester. Bala scored same as Jatin in DI.

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 34 views

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6

CAT2018-1: 56
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where the contamination ... pumps at which the contamination levels were recorded as medium? Exactly $8$. More than $4$. At least $8$. At most $9$.

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 31 views

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7

CAT2018-1: 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: ... administration committee, and $20\%$ are in the teaching committee. What is the number of educationalists in the research committee?

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 30 views

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8

CAT2018-1: 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 people: ... The total number of bureaucrats in the three committees. The size of the research committee. The size of the teaching committee.

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 36 views

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9

CAT2018-1: 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 people: ... administration committee, and $20\%$ are in the teaching committee. What is the number of bureaucrats in the administration committee?

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 28 views

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10

CAT2018-1: 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 $3/6$ $3/2$ $5/2$ $1/6$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 20 views

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11

CAT2018-1: 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 people: ... equal to the number of educationalists. The size of the research committee is less than the size of the teaching committee.

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 27 views

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12

CAT2018-1: 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 by doubling her ... . If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE? _____

asked Mar 20 in Logical Reasoning by jothee (11.4k points) | 35 views

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13

CAT2018-1: 72
A trader sells $10$ litres of a mixture of paints $A$ and $B$, where the amount of $B$ in the mixture does not exceed that of $A$. The cost of paint $A$ per litre is Rs. $8$ more than that of paint $B$. If the trader sells the entire mixture for Rs. $264$ and makes a profit of $10\%$, then the highest possible cost of paint $B$, in Rs. per litre, is $26$ $16$ $20$ $22$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 27 views

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14

CAT2018-1: 70
Point $P$ lies between points $A$ and $B$ such that the length of $BP$ is thrice that of $AP$. Car $1$ starts from $A$ and moves towards $B$. Simultaneously, car $2$ starts from $B$ and moves towards $A$. Car $2$ reaches $P$ one hour after car $1$ ... speed of car $2$ is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $P$ from $A$ is _________.

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 27 views

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15

CAT2018-1: 69
Given that $x^{2018}y^{2017}=1/2$ and $x^{2016}y^{2019}=8$, the value of $x^2+y^3$ is $35/4$ $37/4$ $31/4$ $33/4$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 37 views

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16

CAT2018-1: 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 $\sqrt{12}$ $\sqrt{14}$ $\sqrt{13}$ $\sqrt{11}$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 27 views

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17

CAT2018-1: 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 ... draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 31 views

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18

CAT2018-1: 71
If $\log_2(5+\log_3a)=3$ and $\log_5(4a+12+\log_2b)=3$, then $a+b$ is equal to $67$ $40$ $32$ $59$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 22 views

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19

CAT2018-1: 74
If among $200$ students, $105$ like pizza and $134$ like burger, then the number of students who like only burger can possibly be $93$ $26$ $23$ $96$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 24 views

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20

CAT2018-1: 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? $27$ $28$ $26$ $25$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 25 views

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21

CAT2018-1: 76
Given an equilateral triangle $T1$ with side $24$ cm, a second triangle $T2$ is formed by joining the midpoints of the sides of $T1$. Then a third triangle T3 is formed by joining the midpoints of the sides of $T2$. If this process of forming triangles is continued, the sum ... many such triangles $T1, T2, T3, \dots$ will be $164\sqrt 3$ $188\sqrt 3$ $248\sqrt 3$ $192\sqrt 3$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 23 views

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22

CAT2018-1: 77
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ? $1/4$ $0$ $1/2$ $-1/4$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 27 views

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23

CAT2018-1: 78
If $x$ is a positive quantity such that $2^x=3^{\log_52}$, then $x$ is equal to $1+\log_3\dfrac{5}{3}$ $\log_58$ $1+\log_5\dfrac{3}{5}$ $\log_59$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 27 views

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24

CAT2018-1: 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 _________

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 30 views

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25

CAT2018-1: 80
Points $E, F, G, H$ lie on the sides $AB, BC, CD$, and $DA$, respectively, of a square $ABCD$. If $EFGH$ is also a square whose area is $62.5\%$ of that of $ABCD$ and $CG$ is longer than $EB$, then the ratio of length of $EB$ to that of $CG$ is $2:5$ $4:9$ $3:8$ $1:3$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 25 views

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26

CAT2018-1: 84
Each of $74$ students in a class studies at least one of the three subjects $H, E$ and $P$. Ten students study all three subjects, while twenty study $H$ and $E$, but not $P$. Every student who studies $P$ also studies $H$ or $E$ or both. If the number of students studying $H$ equals that studying $E$, then the number of students studying $H$ is _________

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 24 views

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27

CAT2018-1: 83
Train $T$ leaves station $X$ for station $Y$ at $3$ pm. Train $S$, traveling at three quarters of the speed of $T$, leaves $Y$ for $X$ at $4$ pm. The two trains pass each other at a station $Z$, where the distance between $X$ and $Z$ is three-fifths of that between $X$ and $Y$. How many hours does train $T$ take for its journey from $X$ to $Y$?

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 17 views

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28

CAT2018-1: 82
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$ $\log_68$ $\log_616$ $\log_28$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 19 views

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29

CAT2018-1: 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 ________

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 31 views

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30

CAT2018-1: 89
In a parallelogram $ABCD$ of area $72$ sq cm, the sides $CD$ and $AD$ have lengths $9$ cm and $16$ cm, respectively. Let $P$ be a point on $CD$ such that $AP$ is perpendicular to $CD$. Then the area, in sq cm, of triangle $APD$ is $18\sqrt 3$ $24\sqrt 3$ $32\sqrt 3$ $12\sqrt 3$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 27 views

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31

CAT2018-1: 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 of walnuts ... an overall profit of $25\%$. At what price, in Rs. per kg, did the wholesaler buy the walnuts? $98$ $96$ $84$ $86$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 14 views

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32

CAT2018-1: 86
A 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 ________

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 26 views

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33

CAT2018-1: 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? $1/4$ $7/33$ $1/5$ $6/19$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 27 views

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34

CAT2018-1: 88
Let $ABCD$ 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 $ABCD$? $24,10$ $25,9$ $24,12$ $25,10$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 29 views

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35

CAT2018-1: 90
In a circle with center $O$ and radius $1$ cm, an arc $AB$ makes an angle $60$ degrees at $O$. Let $R$ be the region bounded by the radii $OA$, $OB$ and the arc $AB$. If $C$ and $D$ are two points on $OA$ and $OB$, respectively, such that $OC = OD$ and the area of triangle ... $\bigg(\dfrac{\pi}{6} \bigg)^\frac{1}{2} \\$ $\bigg(\dfrac{\pi}{4\sqrt 3} \bigg)^\frac{1}{2}$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 25 views

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36

CAT2018-1: 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?

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 29 views

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37

CAT2018-1: 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 _______

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 23 views

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38

CAT2018-1: 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 ________

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 20 views

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39

CAT2018-1: 94
In an examination, the maximum possible score is $N$ while the pass mark is $45\%$ of $N$. A candidate obtains $36$ marks, but falls short of the pass mark by $68\%$. Which one of the following is then correct? $N\leq 200$ $243\leq N\leq 252$ $N\geq 253$ $201\leq N\leq 242$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 24 views

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40

CAT2018-1: 95
Two types of tea, $A$ and $B$, are mixed and then sold at Rs. $40$ per kg. The profit is $10\%$ if $A$ and $B$ are mixed in the ratio $3 : 2$, and $5\%$ if this ratio is $2 : 3$. The cost prices, per kg, of $A$ and $B$ are in the ratio $18:25$ $19:24$ $21:25$ $17:25$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 19 views

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