Recent questions and answers in Numerical Ability - GATE Overflow

+2 votes

2 answers

1

Square Root Aptitude Doubt
Please help with this question:- $(\sqrt{243}+3)^x+(\sqrt{243}-3)^x=15^x$.

answered 6 days ago in Numerical Ability by smsubham Boss (15.5k points) | 301 views

+9 votes

2 answers

2

GATE2016 Aptitude Set 8: GA-10
The numeral in the units position of $211^{870}+146^{127} \times 3^{424}$ is ________.

answered 6 days ago in Numerical Ability by smsubham Boss (15.5k points) | 1.3k views

+2 votes

2 answers

3

GATE2017-1-2178751944

answered 6 days ago in Numerical Ability by smsubham Boss (15.5k points) | 166 views

+5 votes

3 answers

4

GATE2019 ME-1: GA-7
A person divided an amount of Rs. $100,000$ into two parts and invested in two different schemes. In one he got $10 \%$ profit and in the other he got $12 \%$. If the profit percentages are interchanged with these investments he would have got Rs. $120$ less. Find the ratio between his investments in the two schemes. $9:16$ $11:14$ $37:63$ $47:53$

answered Mar 19 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 203 views

+6 votes

8 answers

5

GATE2013 CE: GA-9
A firm is selling its product at Rs. $60$ per unit. The total cost of production is Rs. $100$ and firm is earning total profit of Rs. $500$. Later, the total cost increased by $30\%.$ By what percentage the price should be increased to maintained the same profit level. $5$ $10$ $15$ $30$

answered Mar 18 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 2.6k views

0 votes

1 answer

6

ISI2018-DCG-19
The area of the region formed by line segments joining the points of intersection of the circle $x^2+y^2-10x-6y+9=0$ with the two axes in succession in a definite order (clockwise or anticlockwise) is $16$ $9$ $3$ $12$

answered Mar 15 in Numerical Ability by haralk10 Junior (537 points) | 30 views

0 votes

1 answer

7

ISI2017-DCG-19
The angle between the tangents drawn from the point $(-1, 7)$ to the circle $x^2+y^2=25$ is $\tan^{-1} (\frac{1}{2})$ $\tan^{-1} (\frac{2}{3})$ $\frac{\pi}{2}$ $\frac{\pi}{3}$

answered Mar 15 in Numerical Ability by haralk10 Junior (537 points) | 21 views

0 votes

1 answer

8

ISI2017-DCG-18
If $a,b,c$ are the sides of $\Delta ABC$, then $\tan \frac{B-C}{2} \tan \frac{A}{2}$ is equal to $\frac{b+c}{b-c}$ $\frac{b-c}{b+c}$ $\frac{c-b}{c+b}$ none of these

answered Mar 15 in Numerical Ability by haralk10 Junior (537 points) | 28 views

0 votes

1 answer

9

ISI2016-DCG-70
Water pours into a rectangular tank of $20\:metres$ depth which was initially half-filled. The rate at which the height of the water rises is inversely proportional to the height of the water at that instant. If the height of the water after an hour is observed to be $12\:metres$, ... hours, will be required to fill up the tank? $\frac{75}{11}$ $\frac{125}{11}$ $\frac{25}{3}$ $5$

answered Mar 14 in Numerical Ability by haralk10 Junior (537 points) | 34 views

0 votes

1 answer

10

ISI2018-PCB-A2
Let there be a pile of $2018$ chips in the center of a table. Suppose there are two players who could alternately remove one, two or three chips from the pile. At least one chip must be removed, but no more than three chips can be removed in a ... game, that is, whatever moves his opponent makes, he can always make his moves in a certain way ensuring his win? Justify your answer.

answered Mar 1 in Numerical Ability by akashsahapro19 (105 points) | 56 views

+2 votes

1 answer

11

CMI2014-A-09
A company is due to send a shipment to a client and the CEO has resigned. To select a new CEO, some candidates have been interviewed. One of them will be chosen through a vote. If the workers union resort to a strike and the candidates have to be ... B). If the workers union resorted to a strike, then the number of voters was greater than or equal to the number of abstainers.

answered Mar 1 in Numerical Ability by akashsahapro19 (105 points) | 79 views

+1 vote

1 answer

12

ISI2014-PCB-A-2a
Let $A$ be a $30 \times 40$ matrix having $500$ non-zero entries. For $1 \leq i \leq 30$, let $r_i$ be the number of non-zero entries in the $i$-th row, and for $1 \leq j \leq 40$, let $m_j$ be the number of non-zero entries in the $j$-th column. Show that there is a k such that $1 \leq k \leq 30$, $r_k \geq 17$ and there is an $l$ such that $1 \leq l \leq 40$, $m_l \leq 12$.

answered Feb 28 in Numerical Ability by akashsahapro19 (105 points) | 74 views

+2 votes

2 answers

13

GATE2020-CS-GA-9
Two straight lines are drawn perpendicular to each other in $X-Y$ plane. If $\alpha$ and $\beta$ are the acute angles the straight lines make with the $\text{X-}$ axis, then $\alpha + \beta$ is_______. $60^{\circ}$ $90^{\circ}$ $120^{\circ}$ $180^{\circ}$

answered Feb 26 in Numerical Ability by immanujs Active (3.2k points) | 941 views

0 votes

3 answers

14

answered Feb 24 in Numerical Ability by Neeraj Dhiman (99 points) | 112 views

0 votes

1 answer

15

TIFR2020-A-14
A ball is thrown directly upwards from the ground at a speed of $10\: ms^{-1},$ on a planet where the gravitational acceleration is $10\: ms^{-2}.$ consider the following statements: The ball reaches the ground exactly $2$ seconds after it is thrown up The ball travels ... $3$ is correct None of the Statements $1,2$ or $3$ is correct All of the Statements $1,2$ and $3$ are correct

answered Feb 19 in Numerical Ability by ankitgupta.1729 Boss (18.1k points) | 49 views

+2 votes

3 answers

16

GATE2019 ME-2: GA-7
Two pipes $P$ and $Q$ can fill a tank in $6$ hours and $9$ hours respectively, while a third pipe $R$ can empty the tank in $12$ hours. Initially, $P$ and $R$ are open for $4$ hours, Then $P$ is closed and $Q$ is opened. After $6$ more hours $R$ is closed. The total time taken to fill the tank (in hours) is ____ $13.50$ $14.50$ $15.50$ $16.50$

answered Feb 14 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 496 views

+1 vote

3 answers

17

GATE2019 EE: GA-4
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow the lawn$?$ $60$ $80$ $90$ $120$

answered Feb 14 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 207 views

+3 votes

3 answers

18

GATE2019 EC: GA-3
It would take one machine $4$ hours to complete a production order and another machine $2$ hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ________ hours. $2/3$ $3/4$ $4/3$ $7/3$

answered Feb 14 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 294 views

+2 votes

3 answers

19

GATE2019 CE-2: GA-9
An oil tank can be filled by pipe $X$ in $5$ hours and pipe $Y$ in $4$ hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in $20$ hours. If initially the tank was empty and someone started the two ... for the tank to be filled? (Assume that the rate of drainage is independent of the Head) $1.50$ $2.00$ $2.50$ $4.00$

answered Feb 14 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 256 views

0 votes

3 answers

20

GATE2017 ME-2: GA-7
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have half the number of bullocks and double the number of tractors, it takes $5$ days to plough the same field. How many days will it take $X$ bullocks alone to plough the field? $30$ $35$ $40$ $45$

answered Feb 14 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 375 views

0 votes

2 answers

21

GATE2017 EC-2: GA-8
$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build the bridge in one week? $3000$ $3300$ $3600$ $3900$

answered Feb 14 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 146 views

+10 votes

3 answers

22

GATE2010-64
$5$ skilled workers can build a wall in $20$ days; $8$ semi-skilled workers can build a wall in $25$ days; $10$ unskilled workers can build a wall in $30$ days. If a team has $2$ skilled, $6$ semi-skilled and $5$ unskilled workers, how long it will take to build the wall? $20$ days $18$ days $16$ days $15$ days

answered Feb 12 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 2.6k views

+13 votes

4 answers

23

GATE2015-2-GA-6
If the list of letters $P$, $R$, $S$, $T$, $U$ is an arithmetic sequence, which of the following are also in arithmetic sequence? $2P, 2R, 2S, 2T, 2U$ $P-3, R-3, S-3, T-3, U-3$ $P^2, R^2, S^2, T^2, U^2$ I only I and II II and III I and III

answered Feb 12 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 1.3k views

0 votes

2 answers

24

TIFR2020-A-15
The sequence $s_{0},s_{1},\dots , s_{9}$ is defined as follows: $s_{0} = s_{1} + 1$ $2s_{i} = s_{i-1} + s_{i+1} + 2\:\: \text{for}\: 1 \leq i \leq 8$ $2s_{9} = s_{8} + 2$ What is $s_{0}?$ $81$ $95$ $100$ $121$ $190$

answered Feb 11 in Numerical Ability by ankitgupta.1729 Boss (18.1k points) | 63 views

0 votes

1 answer

25

TIFR2020-A-6
What is the maximum number of regions that the plane $\mathbb{R}^{2}$ can be partitioned into using $10$ lines? $25$ $50$ $55$ $56$ $1024$ Hint: Let $A(n)$ be the maximum number of partitions that can be made by $n$ lines. Observe that $A(0) = 1, A(2) = 2,A(2) = 4$ etc. Come up with a recurrence equation for $A(n).$

answered Feb 11 in Numerical Ability by Sourajit25 Active (1.9k points) | 30 views

+1 vote

2 answers

26

GATE2017 ME-2: GA-3
If $a$ and $b$ are integers and $a-b$ is even, which of the following must always be even? $ab$ $a^{2}+b^{2}+1$ $a^{2}+b+1$ $ab-b$

answered Feb 5 in Numerical Ability by Lakshman Patel RJIT Veteran (61.2k points) | 192 views

+2 votes

2 answers

27

GATE2016 ME-2: GA-9
The binary operation $\square$ is defined as $a\square b = ab+(a+b),$ where $a$ and $b$ are any two real numbers. The value of the identity element of this operation, defined as the number $x$ such that $a\square x = a,$ for any $a$, is $0$ $1$ $2$ $10$

answered Feb 5 in Numerical Ability by Lakshman Patel RJIT Veteran (61.2k points) | 504 views

+10 votes

3 answers

28

GATE2014 EC-3: GA-4
The next term in the series $81, 54, 36, 24,\dots $ is_________.

answered Feb 5 in Numerical Ability by Lakshman Patel RJIT Veteran (61.2k points) | 1.1k views

0 votes

2 answers

29

GATE2010 MN: GA-5
A person invest Rs.1000 at $10\%$ annual compound interest for $2$ years$.$ At the end of two years, the whole amount is invested at an annual simple interest of $12\%$ for $5$ years$.$ The total value of the investment finally is $:$ $1776$ $1760$ $1920$ $1936$

answered Feb 1 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 170 views

+11 votes

4 answers

30

GATE2015-1-GA-3‏
Given Set $A= {2, 3, 4, 5}$ and Set $B= { 11, 12, 13, 14, 15}$, two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals $16$? $0.20$ $0.25$ $0.30$ $0.33$

answered Feb 1 in Numerical Ability by Naseer (29 points) | 1.7k views

+14 votes

3 answers

31

GATE2014-2-GA-5
The value of $\sqrt{12+\sqrt{12+\sqrt{12+\dots}}} $is $3.464$ $3.932$ $4.000$ $4.444$

answered Jan 27 in Numerical Ability by Asim Siddiqui 4 Active (1.7k points) | 951 views

0 votes

1 answer

32

ISI2014-DCG-61
If $l=1+a+a^2+ \dots$, $m=1+b+b^2+ \dots$, and $n=1+c+c^2+ \dots$, where $\mid a \mid <1, \: \mid b \mid < 1, \: \mid c \mid <1$ and $a,b,c$ are in arithmetic progression, then $l, m, n$ are in arithmetic progression geometric progression harmonic progression none of these

answered Jan 26 in Numerical Ability by mudit23june (33 points) | 96 views

+1 vote

2 answers

33

GATE2018 ME-1: GA-8
From the time the front of a train enters a platform, it takes $25$ seconds for the back of the train to leave the platform, while traveling at a constant speed of $54$ km/h. At the same speed, it takes $14$ seconds to pass a man running at $9$ km/h in the same ... that of the platform in meters, respectively? $210$ and $140$ $162.5$ and $187.5$ $245$ and $130$ $175$ and $200$

answered Jan 26 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 242 views

+5 votes

2 answers

34

GATE2014 EC-3: GA-8
A man can row at $8$ km per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in km per hour.

answered Jan 26 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 1.3k views

0 votes

1 answer

35

ISI2014-DCG-54
The number of real roots of the equation $1+\cos ^2x+\cos ^3 x – \cos^4x=5$ is equal to $0$ $1$ $3$ $4$

answered Jan 26 in Numerical Ability by mudit23june (33 points) | 112 views

+13 votes

3 answers

36

GATE2015-3-GA-8
Choose the most appropriate equation for the function drawn as thick line, in the plot below. $x=y-|y|$ $x=-(y-|y|)$ $x=y+|y|$ $x=-(y+|y|)$

answered Jan 25 in Numerical Ability by JashanArora Loyal (8.3k points) | 1.7k views

+1 vote

2 answers

37

GATE2018 CH: GA-9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$

answered Jan 24 in Numerical Ability by Lakshman Patel RJIT Veteran (61.2k points) | 337 views

+3 votes

3 answers

38

GATE2019 ME-2: GA-4
The product of three integers $X$, $Y$ and $Z$ is $192$. $Z$ is equal to $4$ and $P$ is equal to the average of $X$ and $Y$. What is the minimum possible value of $P$? $6$ $7$ $8$ $9.5$

answered Jan 22 in Numerical Ability by Nikhil gate 2020 (409 points) | 272 views

+1 vote

2 answers

39

GATE2018 CE-1: GA-6
A fruit seller sold a basket of fruits at $\text{12.5%}$ loss. Had he sold it for Rs. $108$ more, he would have made a $\text{10%}$ gain. What is the loss in Rupees incurred by the fruit seller? $48$ $52$ $60$ $108$

answered Jan 20 in Numerical Ability by Kushagra गुप्ता Loyal (5.8k points) | 275 views

+5 votes

4 answers

40

GATE2014 EC-4: GA-10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$

answered Jan 20 in Numerical Ability by Lakshman Patel RJIT Veteran (61.2k points) | 1.3k views

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