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1

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 $229:141$ $220:149$ $239: 161$ $251: 163$

Anam_ALP answered in Quantitative Aptitude 18 hours ago

4k points

156 views

3 votes

2 answers

2

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 $35.2$ $30.3$ $20.5$ $25.4$

Anam_ALP answered in Quantitative Aptitude 1 day ago

4k points

378 views

2 votes

1 answer

3

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 $18:25$ $19:24$ $21:25$ $17:25$

Anam_ALP answered in Quantitative Aptitude Oct 1

4k points

109 views

2 votes

1 answer

4

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? $98$ $96$ $84$ $86$

Anam_ALP answered in Quantitative Aptitude Oct 1

4k points

101 views

2 votes

1 answer

5

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

Anam_ALP answered in Quantitative Aptitude Sep 30

4k points

165 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

Anam_ALP answered in Quantitative Aptitude Sep 30

4k points

176 views

2 votes

1 answer

7

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

Anam_ALP answered in Quantitative Aptitude Sep 27

4k points

135 views

2 votes

1 answer

8

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

Anam_ALP answered in Quantitative Aptitude Sep 27

4k points

179 views

3 votes

1 answer

9

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

Anam_ALP answered in Quantitative Aptitude Sep 27

4k points

144 views

3 votes

1 answer

10

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 $8$ $6\sqrt2$ $5\sqrt3$ $2\pi$

Anam_ALP answered in Quantitative Aptitude Sep 25

4k points

143 views

2 votes

1 answer

11

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

Anam_ALP answered in Quantitative Aptitude Sep 25

4k points

122 views

2 votes

1 answer

12

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 $80 + 16\pi$ $86+8\pi$ $82+24\pi$ $88+12\pi$

Anam_ALP answered in Quantitative Aptitude Sep 25

4k points

141 views

2 votes

1 answer

13

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 $1:2$ $2:9$ $1:4$ $2:7$

Anam_ALP answered in Quantitative Aptitude Sep 25

4k points

169 views

2 votes

1 answer

14

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 $5:4$ $8:5$ $4:3$ $3:2$

Anam_ALP answered in Quantitative Aptitude Sep 25

4k points

172 views

3 votes

1 answer

15

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

Anam_ALP answered in Quantitative Aptitude Sep 25

4k points

157 views

2 votes

1 answer

16

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

Anam_ALP answered in Quantitative Aptitude Sep 25

4k points

175 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? $13.5$ $11$ $12$ $14.5$

Anam_ALP answered in Quantitative Aptitude Sep 25

4k points

190 views

3 votes

1 answer

18

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?

Anam_ALP answered in Quantitative Aptitude Sep 24

4k points

139 views

2 votes

1 answer

19

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

Anam_ALP answered in Quantitative Aptitude Sep 24

4k points

128 views

2 votes

1 answer

20

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

Anam_ALP answered in Quantitative Aptitude Sep 24

4k points

135 views

3 votes

1 answer

21

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? $5$ $6$ $8$ $7$

Anam_ALP answered in Quantitative Aptitude Sep 24

4k points

157 views

2 votes

1 answer

22

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

Anam_ALP answered in Quantitative Aptitude Sep 24

4k points

145 views

3 votes

1 answer

23

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? $s\geq6$ $s\neq6$ $s\leq6$ $5\leq s\leq7$

Anam_ALP answered in Quantitative Aptitude Sep 24

4k points

181 views

2 votes

1 answer

24

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 $20$ $23$ $48$ $45$

Anam_ALP answered in Quantitative Aptitude Sep 24

4k points

134 views

2 votes

1 answer

25

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

Anam_ALP answered in Quantitative Aptitude Sep 24

4k points

136 views

2 votes

1 answer

26

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

Anam_ALP answered in Quantitative Aptitude Sep 23

4k points

127 views

3 votes

1 answer

27

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

Anam_ALP answered in Quantitative Aptitude Sep 23

4k points

177 views

2 votes

1 answer

28

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 $9$ $7$ $6$ $8$

Anam_ALP answered in Quantitative Aptitude Sep 23

4k points

119 views

3 votes

2 answers

29

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

Anam_ALP answered in Quantitative Aptitude Sep 23

4k points

167 views

3 votes

1 answer

30

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

Anam_ALP answered in Quantitative Aptitude Sep 23

4k points

131 views

2 votes

1 answer

31

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

Anam_ALP answered in Quantitative Aptitude Sep 23

4k points

144 views

2 votes

1 answer

32

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 ... $\bigg(\dfrac{\pi}{6} \bigg)^\frac{1}{2} \\$ $\bigg(\dfrac{\pi}{4\sqrt 3} \bigg)^\frac{1}{2}$

Anam_ALP answered in Quantitative Aptitude Sep 18

4k points

145 views

2 votes

1 answer

33

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? $27$ $28$ $26$ $25$

Anam_ALP answered in Quantitative Aptitude Sep 18

4k points

118 views

2 votes

1 answer

34

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?

Anam_ALP answered in Quantitative Aptitude Sep 17

4k points

166 views

2 votes

1 answer

35

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 ________

Anam_ALP answered in Quantitative Aptitude Sep 17

4k points

164 views

2 votes

1 answer

36

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 _________

Anam_ALP answered in Quantitative Aptitude Sep 17

4k points

128 views

0 votes

0 answers

37

CAT2020-3: 1
[There is] a curious new reality: Human contact is becoming a luxury good. As more screens appear in the lives of the poor, screens are disappearing from the lives of the rich. The richer you are, the more you spend to be off-screen ... not online. with falling costs, people are streaming more content on their devices. screens provide social contact in an increasingly isolating world.

soujanyareddy13 asked in Others Sep 17

by soujanyareddy13

1.1k points

57 views

0 votes

0 answers

38

CAT2020-3: 2
[There is] a curious new reality: Human contact is becoming a luxury good. As more screens appear in the lives of the poor, screens are disappearing from the lives of the rich. The richer you are, the more you spend to be off-screen ... and neuroscientists on screen-time use from the public. developing new work-efficiency programmes while lobbying for the right to disconnect bill.

soujanyareddy13 asked in Others Sep 17

by soujanyareddy13

1.1k points

24 views

0 votes

0 answers

39

CAT2020-3: 3
[There is] a curious new reality: Human contact is becoming a luxury good. As more screens appear in the lives of the poor, screens are disappearing from the lives of the rich. The richer you are, the more you spend to be off-screen$\dots$ ... with human engagement could become a new class marker. $\dots$studies show that time on these advertisement-support platforms is unhealthy.

soujanyareddy13 asked in Others Sep 17

by soujanyareddy13

1.1k points

34 views

0 votes

0 answers

40

CAT2020-3: 4
[There is] a curious new reality: Human contact is becoming a luxury good. As more screens appear in the lives of the poor, screens are disappearing from the lives of the rich. The richer you are, the more you spend to be off-screen$\dots$ ... adverse effects on young children's learning. It increases human contact as it fills an isolation void. It can cause depression in viewers.

soujanyareddy13 asked in Others Sep 17

by soujanyareddy13

1.1k points

43 views

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