Recent questions and answers in Numerical Ability - GATE Overflow

+1 vote

3 answers

1

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 1 day ago in Numerical Ability by Nikhil gate 2020 (271 points) | 146 views

0 votes

2 answers

2

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 3 days ago in Numerical Ability by Kushagra गुप्ता Active (4.1k points) | 150 views

+5 votes

4 answers

3

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 3 days ago in Numerical Ability by Lakshman Patel RJIT Veteran (58.9k points) | 1.2k views

+13 votes

3 answers

4

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 3 days ago in Numerical Ability by Lakshman Patel RJIT Veteran (58.9k points) | 1.2k views

+1 vote

3 answers

5

ISRO2020-55
If $x+2y=30$, then $\left(\dfrac{2y}{5}+\dfrac{x}{3} \right) + \left (\dfrac{x}{5}+\dfrac{2y}{3} \right)$ will be equal to $8$ $16$ $18$ $20$

answered Jan 13 in Numerical Ability by braindead Junior (787 points) | 241 views

+1 vote

2 answers

6

GATE2018 ME-2: GA-6
Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films? 0 2 4 8

answered Jan 13 in Numerical Ability by Kushagra गुप्ता Active (4.1k points) | 303 views

+13 votes

5 answers

7

GATE2016-2-GA-06
Among $150$ faculty members in an institute, $55$ are connected with each other through Facebook and $85$ are connected through Whatsapp. $30$ faculty members do not have Facebook or Whatsapp accounts. The numbers of faculty members connected only through Facebook accounts is _______. $35$ $45$ $65$ $90$

answered Jan 13 in Numerical Ability by Kushagra गुप्ता Active (4.1k points) | 2.9k views

+7 votes

3 answers

8

TIFR2013-A-1
An infinite two-dimensional pattern is indicated below. The smallest closed figure made by the lines is called a unit triangle. Within every unit triangle, there is a mouse. At every vertex there is a laddoo. What is the average number of laddoos per mouse? $\quad 3$ $\quad 2$ $\quad 1$ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{3}\right)$

answered Jan 8 in Numerical Ability by Vimal Patel (313 points) | 460 views

+3 votes

4 answers

9

GATE2015 ME-3: GA-5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches? $20$ $10$ $8$ $5$

answered Jan 8 in Numerical Ability by Vimal Patel (313 points) | 1.3k views

0 votes

2 answers

10

ISI2015-DCG-2
Let $S=\{6, 10, 7, 13, 5, 12, 8, 11, 9\}$ and $a=\underset{x \in S}{\Sigma} (x-9)^2$ & $b = \underset{x \in S}{\Sigma} (x-10)^2$. Then $a <b$ $a>b$ $a=b$ None of these

answered Jan 5 in Numerical Ability by `JEET Boss (19k points) | 78 views

+1 vote

3 answers

11

GATE2011 AG: GA-6
The sum of $n$ terms of the series $4+44+444+ \dots \dots $ is $\frac{4}{81}\left[10^{n+1}-9n-1\right]$ $\frac{4}{81}\left[10^{n-1}-9n-1\right]$ $\frac{4}{81}\left[10^{n+1}-9n-10\right]$ $\frac{4}{81}\left[10^{n}-9n-10\right]$

answered Jan 4 in Numerical Ability by Lakshman Patel RJIT Veteran (58.9k points) | 312 views

+13 votes

6 answers

12

GATE2011 MN: GA-61
If $\dfrac{(2y+1)}{(y+2)} < 1,$ then which of the following alternatives gives the CORRECT range of $y$ ? $- 2 < y < 2$ $- 2 < y < 1$ $- 3 < y < 1$ $- 4 < y < 1$

answered Jan 4 in Numerical Ability by Lakshman Patel RJIT Veteran (58.9k points) | 736 views

+18 votes

6 answers

13

GATE2015-2-GA-7
Four branches of a company are located at $M$, $N$, $O$ and $P$. $M$ is north of $N$ at a distance of $4 km$; $P$ is south of $O$ at a distance of $2$ $km$; $N$ is southeast of O by $1 km$. What is the distance between $M$ and $P$ in $km$? $5.34$ $6.74$ $28.5$ $45.49$

answered Jan 3 in Numerical Ability by Manu Shaurya (429 points) | 4.8k views

+2 votes

4 answers

14

GATE2014 AG: GA-6
In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group? Statements 1. Shiv is younger to Riaz. 2. Shiv is ... and $2$ are both required to determine the eldest child. Statements $1$ and $2$ are not sufficient to determine the eldest child.

answered Dec 29, 2019 in Numerical Ability by Lakshman Patel RJIT Veteran (58.9k points) | 838 views

+8 votes

4 answers

15

GATE2011 GG: GA-7
In a class of $300$ students in an M.Tech programme, each student is required to take at least one subject from the following three: M600: Advanced Engineering Mathematics C600: Computational Methods for Engineers E600: Experimental Techniques for Engineers The registration data ... number of students in the class who have taken all the above three subjects? $20$ $30$ $40$ $50$

answered Dec 29, 2019 in Numerical Ability by Sambhrant Maurya Active (3.9k points) | 988 views

+5 votes

4 answers

16

Time and Work
Atul does half as much work as Anshu in $\dfrac 4 5$ of the time. If together they take $16$ days to complete the work, how many days shall Anshu take to do it? 23 25 26 30

answered Dec 16, 2019 in Numerical Ability by Lakshman Patel RJIT Veteran (58.9k points) | 896 views

0 votes

4 answers

17

Work and time
A can do piece of work in 30 days while Bonku alone can do it in 40 days. If they work together, how long will it take to complete the work?

answered Dec 16, 2019 in Numerical Ability by Lakshman Patel RJIT Veteran (58.9k points) | 148 views

+3 votes

4 answers

18

TIFR2019-A-11
Suppose there are $n$ guests at a party (and no hosts). As the night progresses, the guests meet each other and shake hands. The same pair of guests might shake hands multiple times. for some parties stretch late into the night , and it is hard to keep track.Still, they don't shake ... $2 \mid \text{Even} \mid - \mid \text{Odd} \mid$ $2 \mid \text{Odd} \mid - \mid \text{Even} \mid$

answered Dec 7, 2019 in Numerical Ability by shivam001 Junior (977 points) | 360 views

+3 votes

1 answer

19

TIFR2011-A-5
Three distinct points $x, y, z$ lie on a unit circle of the complex plane and satisfy $x+y+z=0$. Then $x, y, z$ form the vertices of . An isosceles but not equilateral triangle. An equilateral triangle. A triangle of any shape. A triangle whose shape can't be determined. None of the above.

answered Dec 3, 2019 in Numerical Ability by mkagenius Junior (611 points) | 179 views

+14 votes

2 answers

20

GATE2011-57
If $\log (\text{P}) = (1/2)\log (\text{Q}) = (1/3)\log (\text{R})$, then which of the following options is TRUE? $\text{P}^2 = \text{Q}^3\text{R}^2$ $\text{Q}^2=\text{P}\text{R}$ $\text{Q}^2 = \text{R}^3\text{P}$ $\text{R}=\text{P}^2\text{Q}^2$

answered Nov 28, 2019 in Numerical Ability by JashanArora Loyal (6.4k points) | 1.5k views

+1 vote

1 answer

21

ISI2018-DCG-30
Let $0.01^x+0.25^x=0.7$ . Then $x\geq1$ $0\lt x\lt1$ $x\leq0$ no such real number $x$ is possible.

answered Nov 26, 2019 in Numerical Ability by `JEET Boss (19k points) | 52 views

+1 vote

5 answers

22

GATE2019 EE: GA-10
Consider five people- Mita, Ganga, Rekha, Lakshmi, and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? Lakshmi is taller than Rekha Rekha is shorter than Mita Rekha is taller than Sana Sana is shorter than Ganga $1$ and $3$ $3$ only $2$ and $4$ $1$ only

answered Nov 25, 2019 in Numerical Ability by Shubhm Junior (753 points) | 142 views

0 votes

2 answers

23

Test of Mathematics at 10+2 Level
The remainder when 3^37 is divided by 79 is A. 78 B. 1 C. 2 D. 35

answered Nov 25, 2019 in Numerical Ability by techbd123 Active (3.5k points) | 215 views

+1 vote

2 answers

24

ISI2015-DCG-8
Let $S=\{0, 1, 2, \cdots 25\}$ and $T=\{n \in S: n^2+3n+2$ is divisible by $6\}$. Then the number of elements in the set $T$ is $16$ $17$ $18$ $10$

answered Nov 23, 2019 in Numerical Ability by chirudeepnamini Active (4.4k points) | 59 views

+1 vote

2 answers

25

ISI2015-MMA-16
If two real polynomials $f(x)$ and $g(x)$ of degrees $m\: (\geq 2)$ and $n\: (\geq 1)$ respectively, satisfy $f(x^2+1)=f(x)g(x),$ for every $x \in \mathbb{R}$, then $f$ has exactly one real root $x_0$ such that $f’(x_0) \neq 0$ $f$ has exactly one real root $x_0$ such that $f’(x_0) = 0$ $f$ has $m$ distinct real roots $f$ has no real root

answered Nov 21, 2019 in Numerical Ability by saranpandiangc (11 points) | 56 views

+6 votes

2 answers

26

TIFR2019-A-7
What are the last two digits of $1! + 2! + \dots +100!$? $00$ $13$ $30$ $33$ $73$

answered Nov 21, 2019 in Numerical Ability by chirudeepnamini Active (4.4k points) | 359 views

0 votes

2 answers

27

ISI2017-MMA-11
The digit in the unit's place of the number $2017^{2017}$ is $1$ $3$ $7$ $9$

answered Nov 21, 2019 in Numerical Ability by chirudeepnamini Active (4.4k points) | 43 views

+3 votes

3 answers

28

ISI2014-DCG-10
The number of divisors of $6000$, where $1$ and $6000$ are also considered as divisors of $6000$ is $40$ $50$ $60$ $30$

answered Nov 21, 2019 in Numerical Ability by pragyakul (23 points) | 172 views

0 votes

1 answer

29

ISI2018-DCG-27
$\sum_{n=1}^{\infty}\frac{1}{n(n+1)}$ is $2$ $1$ $\infty$ not a convergent series

answered Nov 19, 2019 in Numerical Ability by Yash4444 Junior (839 points) | 16 views

0 votes

1 answer

30

ISI2016-DCG-30
Let $p,q,r,s$ be real numbers such that $pr=2(q+s).$ Consider the equations $x^{2}+px+q=0$ and $x^{2}+rx+s=0.$ Then at least one of the equations has real roots. both these equations have real roots. neither of these equations have real roots. given data is not sufficient to arrive at any conclusion.

answered Nov 19, 2019 in Numerical Ability by `JEET Boss (19k points) | 24 views

+1 vote

1 answer

31

ISI2016-DCG-28
If one root of a quadratic equation $ax^{2}+bx+c=0$ be equal to the n th power of the other, then $(ac)^{\frac{n}{n+1}}+b=0$ $(ac)^{\frac{n+1}{n}}+b=0$ $(ac^{n})^{\frac{1}{n+1}}+(a^{n}c)^{\frac{1}{n+1}}+b=0$ $(ac^\frac{1}{n+1})^{n}+(a^\frac{1}{n+1}c)^{n+1}+b=0$

answered Nov 19, 2019 in Numerical Ability by `JEET Boss (19k points) | 29 views

0 votes

1 answer

32

ISI2018-DCG-13
In a certain town, $20\%$ families own a car, $90\%$ own a phone, $5 \%$ own neither a car nor a phone and $30, 000$ families own both a car and a phone. Consider the following statements in this regard: $10 \%$ families own both a car and a phone. $95 \%$ ... (iii) are correct and (ii) is wrong. (ii) & (iii) are correct and (i) is wrong. (i), (ii) & (iii) are correct.

answered Nov 18, 2019 in Numerical Ability by Yash4444 Junior (839 points) | 47 views

0 votes

3 answers

33

GATE2010 TF: GA-10
A student is answering a multiple choice examination with $65$ questions with a marking scheme as follows$:$ $i)$ $1$ marks for each correct answer $,ii)$ $-\frac{1}{4}$ for a wrong answer $,iii)$ $-\frac{1}{8}$ for a question that has not been attempted ... gets $37$ marks in the test then the least possible number of questions the student has NOT answered is$:$ $6$ $5$ $7$ $4$

answered Nov 18, 2019 in Numerical Ability by shivam001 Junior (977 points) | 110 views

+2 votes

2 answers

34

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 Nov 13, 2019 in Numerical Ability by chirudeepnamini Active (4.4k points) | 150 views

+2 votes

2 answers

35

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 Nov 13, 2019 in Numerical Ability by chirudeepnamini Active (4.4k points) | 121 views

+1 vote

2 answers

36

answered Nov 13, 2019 in Numerical Ability by chirudeepnamini Active (4.4k points) | 69 views

+2 votes

1 answer

37

CMI2015-B-03b
A cook has a kitchen at the top of a hill, where she can prepare rotis. Each roti costs one rupee to prepare. She can sell rotis for two rupees a piece at a stall down the hill. Once she goes down the steep hill, she can not climb back in time make more ... she starts at the top with $P$ paans and $1$ rupee, what is the minimum and maximum amount of money she can have at the end?

answered Nov 12, 2019 in Numerical Ability by `JEET Boss (19k points) | 67 views

+3 votes

1 answer

38

ISI2015-PCB-A-2
Prove that in any sequence of $105$ integers, there will always be a subsequence of consecutive elements in the sequence, whose sum is divisible by $99$.

answered Nov 12, 2019 in Numerical Ability by `JEET Boss (19k points) | 220 views

0 votes

1 answer

39

ISI2018-DCG-3
If the co-efficient of $p^{th}, (p+1)^{th}$ and $(p+2)^{th}$ terms in the expansion of $(1+x)^n$ are in Arithmetic Progression (A.P.), then which one of the following is true? $n^2+4(4p+1)+4p^2-2=0$ $n^2+4(4p+1)+4p^2+2=0$ $(n-2p)^2=n+2$ $(n+2p)^2=n+2$

answered Nov 9, 2019 in Numerical Ability by GATE_aspirant_2021 (77 points) | 44 views

+5 votes

5 answers

40

GATE2014 AG: GA-5
The population of a new city is $5$ million and is growing at $20\%$ annually. How many years would it take to double at this growth rate? $3-4$ years $4-5$ years $5-6$ years $6-7$ years

answered Nov 8, 2019 in Numerical Ability by Arjun Veteran (431k points) | 2.4k views

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