Recent questions tagged cat2018-2

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1

CAT2018-2: 68
How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the number formed by interchanging the positions of its digits? $5$ $6$ $8$ $7$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

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2

CAT2018-2: 66
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day: $140$ ... Middle-aged and Young visitors buying Gold tickets were equal The numbers of Gold and Platinum tickets bought by Young visitors were equal

jothee asked in Logical Reasoning Mar 20, 2020

by jothee

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3 votes

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3

CAT2018-2: 67
The value of the sum $7 \times 11 + 11 \times 15 + 15 \times 19 + \dots$ + $95 \times 99$ is $80707$ $80773$ $80730$ $80751$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

144 views

2 votes

1 answer

4

CAT2018-2: 69
The smallest integer $n$ such that $n^{3} - 11n^{2} + 32n - 28 >0$ is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

179 views

2 votes

1 answer

5

CAT2018-2: 74
Let $f\left (x \right ) = \max\left \{5x, 52 – 2x^{2}\right \}$ , where $x$ is any positive real numbers. Then the minimum possible value of $f(x)$ is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

144 views

2 votes

1 answer

6

CAT2018-2: 71
On a long stretch of east-west road, $A$ and $B$ are two points such that $B$ is $350$ km west of $A$. One car starts from $A$ and another from $B$ at the same time. If they move towards each other, then they meet after $1$ hour. If they both move towards east, then they meet in $7$ hrs. The difference between their speeds, in km per hour, is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

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176 views

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7

CAT2018-2: 70
Gopal borrows Rs. $X$ from Ankit at $8$% annual interest. He then adds Rs. $Y$ of his own money and lends Rs. $X+Y$ to Ishan at $10$% annual interest. At the end of the year, after returning Ankit's dues, the net interest retained by Gopal is ... the net interest retained by him would have increased by Rs. $150$. If all interests are compounded annually, then find the value of $X+Y$.

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

194 views

2 votes

1 answer

8

CAT2018-2: 72
On a triangle $ABC$, a circle with diameter $BC$ is drawn, intersecting $AB$ and $AC$ at points $P$ and $Q$, respectively. If the lengths of $AB$, $AC$, and $CP$ are $30$ cm, $25$ cm, and $20$ cm respectively, then the length of $BQ$, in cm, is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

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3 votes

1 answer

9

CAT2018-2: 73
A chord of length $5$ cm subtends an angle of $60^\circ$ at the centre of a circle. The length, in cm, of a chord that subtends an angle of $120^\circ$ at the centre of the same circle is $8$ $6\sqrt2$ $5\sqrt3$ $2\pi$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

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10

CAT2018-2: 75
A $20$% ethanol solution is mixed with another ethanol solution, say, $S$ of unknown concentration in the proportion $1:3$ by volume. This mixture is then mixed with an equal volume of $20$% ethanol solution. If the resultant mixture is a $31.25$% ethanol solution, then the unknown concentration of $S$ is $52$% $50$% $55$% $48$%

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

125 views

3 votes

1 answer

11

CAT2018-2: 76
A tank is emptied everyday at a fixed time point. Immediately thereafter, either pump $A$ or pump $B$ or both start working until the tank is full. On Monday, $A$ alone completed filling the tank at $8$ pm. On Tuesday, $B$ alone completed filling the tank at $6$ pm ... the tank filled on Thursday if both pumps were used simultaneously all along? $4:36$ pm $4:12$ pm $4:24$ pm $4:48$ pm

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

157 views

2 votes

1 answer

12

CAT2018-2: 77
If $a$ and $b$ are integers such that $2x^{2}- ax + 2 > 0$ and $x^{2}-bx+8 \geq 0$ for all real numbers $x$, then the largest possible value of $2a-6b$ is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

135 views

3 votes

1 answer

13

CAT2018-2: 78
A water tank has inlets of two types $A$ and $B$. All inlets of type $A$ when open, bring in water at the same rate. All inlets of type $B$, when open, bring in water at the same rate. The empty tank is completely filled in $30$ minutes if $10$ inlets of ... . In how many minutes will the empty tank get completely filled if $7$ inlets of type $A$ and $27$ inlets of type $B$ are open?

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

139 views

2 votes

1 answer

14

CAT2018-2: 79
If $N$ and $x$ are positive integers such that $N^{N}=2^{160}$ and $N^{2} + 2^{N}$ is an integral multiple of $2^{x}$, then the largest possible $x$ is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

128 views

2 votes

1 answer

15

CAT2018-2: 80
Let $t_{1}, t_{2},\dots$ be a real numbers such that $t_{1}+t_{2}+\dots+t_{n}=2n^{2}+9n+13$, for every positive integers $n\geq2$.If $t_{k}=103$ , then $k$ equals

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

145 views

3 votes

1 answer

16

CAT2018-2: 81
If $p^{3}=q^{4}=r^{5}=s^{6}$, then the value of $\log_{s}\left ( pqr \right )$ is equal to $16/5$ $1$ $24/5$ $47/10$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

131 views

3 votes

1 answer

17

CAT2018-2: 82
Ramesh and Ganesh can together complete a work in $16$ days. After seven days of working together, Ramesh got sick and his efficiency fell by $30$%. As a result, they completed the work in $17$ days instead of $16$ days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work? $13.5$ $11$ $12$ $14.5$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

190 views

3 votes

2 answers

18

CAT2018-2: 83
A jar contains a mixture of $175$ ml water and $700$ ml alcohol. Gopal takes out $10$% of the mixture and substitutes it by water of the same amount. The process is repeated once again. The percentage of water in the mixture is now $35.2$ $30.3$ $20.5$ $25.4$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

378 views

2 votes

1 answer

19

CAT2018-2: 84
In a tournament, there are $43$ junior level and $51$ senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is $153$, while the number of boy versus boy matches in senior level is $276$. The number of matches a boy plays against a girl is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

175 views

1 vote

0 answers

20

CAT2018-2: 85
If $A=\left \{6^{2n} – 35n – 1: n=1,2,3 \dots \right \}$ and $B= \left \{35\left (n – 1 \right ) : n=1,2,3\dots \right \}$ then which of the following is true? Neither every member of $A$ is in $B$ nor every member of $B$ is in $A$ Every member of $A$ is in $B$ and at least one member of $B$ is not in $A$ Every member of $B$ is in $A$ At least one member of $A$ is not in $B$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

90 views

3 votes

1 answer

21

CAT2018-2: 86
A parallelogram $ABCD$ has area $48$ sqcm. If the length of $CD$ is $8$ cm and that of $AD$ is $s$ cm, then which one of the following is necessarily true? $s\geq6$ $s\neq6$ $s\leq6$ $5\leq s\leq7$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

181 views

2 votes

1 answer

22

CAT2018-2: 87
Let $a_{1},a_{2},\dots , a_{52}$ be a positive integers such that $a_{1}<a_{2}<\dots < a_{52}$. Suppose, their arithmetic mean is one less than the arithmetic mean of $a_{2},a_{3},\dots , a_{52}$. If $a_{52}=100$ , then the largest possible value of $a_{1}$ is $20$ $23$ $48$ $45$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

134 views

2 votes

1 answer

23

CAT2018-2: 88
Points $A$ and $B$ are $150$ km apart. Cars $1$ and $2$ travel from $A$ to $B$, but car $2$ starts from $A$ when car $1$ is already $20$ km away from $A$. Each car travels at a speed of $100$ kmph for the first $50$ km, at $50$ kmph for the next $50$ km, and at $25$ kmph for the last $50$ km. The distance, in km, between car $2$ and $B$ when car $1$ reaches $B$ is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

165 views

2 votes

1 answer

24

CAT2018-2: 89
The arithmetic mean of $x,y$ and $z$ is $80$, and that of $x,y,z,u$ and $v$ is $75$, where $u=\left (x+y \right)/2$ and $v=\left (y+z \right)/2$. If $x\geq z$, then the minimum possible value of $x$ is

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

136 views

3 votes

2 answers

25

CAT2018-2: 90
If the sum of squares of two numbers is $97$, then which one of the following cannot be their product? $-32$ $48$ $64$ $16$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

167 views

2 votes

1 answer

26

CAT2018-2: 91
For two sets $A$ and $B$, let $A \triangle B$ denote the set of elements which belong to $A$ or $B$ but not both. If $P= \{1,2,3,4\}, Q =\{2,3,5,6\}, R=\{1,3,7,8,9\}, S =\{2,4,9,10\},$ then the number of elements in $(P\triangle Q) \triangle (R\triangle S)$ is $9$ $7$ $6$ $8$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

119 views

2 votes

1 answer

27

CAT2018-2: 92
The smallest integer $n$ for which $4^{n}>17^{19}$ holds, is closest to $33$ $37$ $39$ $35$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

127 views

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28

CAT2018-2: 93
The strength of a salt solution is $p$% if $100$ ml of the solution contains $p$ grams of salt. If three salt solutions $A, B, C$ are mixed in the proportion $1:2:3$, then the resulting solution has strength $20$%. If instead the proportion is $3:2:1$, then the resulting solution has ... in the ratio $2:7$. The ratio of the strength of $D$ to that of $A$ is $2:5$ $1:3$ $1:4$ $3:10$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

107 views

3 votes

1 answer

29

CAT2018-2: 94
The area of a rectangle and the square of its perimeter are in the ratio $1:25$. Then the lengths of the shorter and longer sides of the rectangle are in the ratio $1:4$ $2:9$ $1:3$ $3:8$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

195 views

2 votes

1 answer

30

CAT2018-2: 95
The scores of Amal and Bimal in an examination are in the ratio $11: 14$. After an appeal, their scores increase by the same amount and their new scores are in the ratio $47 : 56$. The ratio of Bimal's new score to that of his original score is $5:4$ $8:5$ $4:3$ $3:2$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

172 views

2 votes

1 answer

31

CAT2018-2: 96
From a rectangle $ABCD$ of area $768$ sq cm, a semicircular part with diameter $AB$ and area $72\pi$ sq cm is removed. The perimeter of the leftover portion, in cm, is $80 + 16\pi$ $86+8\pi$ $82+24\pi$ $88+12\pi$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

141 views

2 votes

1 answer

32

CAT2018-2: 97
A triangle $ABC$ has area $32$ sq units and its side $BC$, of length $8$ units, lies on the line $x =4$. Then the shortest possible distance between $A$ and the point $(0,0)$ is $4$ units $8$ units $4\sqrt2$ units $ 2\sqrt2$ units

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

122 views

1 vote

1 answer

33

CAT2018-2: 98
There are two drums, each containing a mixture of paints $A$ and $B$. In drum $1, A$ and $B$ are in the ratio $18: 7$. The mixtures from drums $1$ and $2$ are mixed in the ratio $3: 4$ and in this final mixture, $A$ and $B$ are in the ratio $13 :7$. In drum $2$, then $A$ and $B$ were in the ratio $229:141$ $220:149$ $239: 161$ $251: 163$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

156 views

2 votes

1 answer

34

CAT2018-2: 99
Points $A, P, Q$ and $B$ lie on the same line such that $P, Q$ and $B$ are, respectively, $100$ km, $200$ km and $300$ km away from $A$. Cars $1$ and $2$ leave $A$ at the same time and move towards $B$. Simultaneously, car $3$ leaves $B$ and moves towards $A$. ... each car is moving in uniform speed then the ratio of the speed of car $2$ to that of car $1$ is $1:2$ $2:9$ $1:4$ $2:7$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

169 views

3 votes

1 answer

35

CAT2018-2: 100
$\frac{1}{\log_{2}100} – \frac{1}{\log_{4}100} + \frac{1}{\log_{5}100} – \frac{1}{\log_{10}100} + \frac{1}{\log_{20}100} – \frac{1}{\log_{25}100} + \frac{1}{\log_{50}100}=?$ $1/2$ $0$ $10$ $-4$

jothee asked in Quantitative Aptitude Mar 20, 2020

by jothee

12.8k points

177 views

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0 answers

36

CAT2018-2: 56
An agency entrusted to accredit colleges looks at four parameters: faculty quality $(F)$, reputation $(R)$. placement quality $(P)$, and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an ... $A$-one. How many colleges receive the accreditation of $AAA$?

jothee asked in Logical Reasoning Mar 20, 2020

by jothee

12.8k points

133 views

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37

CAT2018-2: 57
An agency entrusted to accredit colleges looks at four parameters: faculty quality $(F)$, reputation $(R)$. placement quality $(P)$, and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an ... is better than Cosmopolitan; and Education Aid is better than $A$-one. what is the highest overall score among the eight colleges?

jothee asked in Logical Reasoning Mar 20, 2020

by jothee

12.8k points

122 views

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0 answers

38

CAT2018-2: 58
An agency entrusted to accredit colleges looks at four parameters: faculty quality $(F)$, reputation $(R)$. placement quality $(P)$, and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. ... $A$-one. How many colleges have overall scores between $31$ and $40$, both exclusive? $1$ $3$ $0$ $2$

jothee asked in Logical Reasoning Mar 20, 2020

by jothee

12.8k points

163 views

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0 answers

39

CAT2018-2: 59
According to a coding scheme the sentence Peacock is designated as the national bird of India is coded as $5688999$ $35$ $1135556678$ $56$ $458$ $13666689$ $1334$ $79$ $13366$ This coding scheme has the following rules: The scheme is case-insensitive (does not distinguish between ... this information. What best can be concluded about the code for the letter $L$? $1$ $1$ or $8$ $6$ $8$

jothee asked in Logical Reasoning Mar 20, 2020

by jothee

12.8k points

88 views

0 votes

0 answers

40

CAT2018-2: 60
According to a coding scheme the sentence Peacock is designated as the national bird of India is coded as $5688999$ $35$ $1135556678$ $56$ $458$ $13666689$ $1334$ $79$ $13366$ This coding scheme has the following rules: The scheme is case-insensitive (does not distinguish between upper case ... can be concluded about the code for the letter $B$? $1$ or $3$ or $4$ $3$ $1$ $3$ or $4$

jothee asked in Logical Reasoning Mar 20, 2020

by jothee

12.8k points

102 views

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

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