Recent questions and answers in Numerical Ability - GATE Overflow

+3 votes

4 answers

1

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 2 days ago in Numerical Ability by shivam001 Junior (647 points) | 312 views

+3 votes

1 answer

2

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 6 days ago in Numerical Ability by mkagenius Junior (657 points) | 163 views

+11 votes

2 answers

3

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 in Numerical Ability by JashanArora Active (2.2k points) | 1.3k views

+1 vote

1 answer

4

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 in Numerical Ability by `JEET Boss (13.4k points) | 26 views

+1 vote

5 answers

5

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 in Numerical Ability by Shubhm Junior (537 points) | 96 views

0 votes

2 answers

6

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 in Numerical Ability by techbd123 Active (3.2k points) | 177 views

+1 vote

2 answers

7

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 in Numerical Ability by chirudeepnamini Active (3.3k points) | 41 views

+1 vote

2 answers

8

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 in Numerical Ability by saranpandiangc (11 points) | 42 views

+5 votes

2 answers

9

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

answered Nov 21 in Numerical Ability by chirudeepnamini Active (3.3k points) | 321 views

0 votes

2 answers

10

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

answered Nov 21 in Numerical Ability by chirudeepnamini Active (3.3k points) | 27 views

+3 votes

3 answers

11

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 in Numerical Ability by pragyakul (15 points) | 60 views

0 votes

1 answer

12

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

answered Nov 19 in Numerical Ability by Yash4444 Junior (735 points) | 7 views

0 votes

1 answer

13

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 in Numerical Ability by `JEET Boss (13.4k points) | 17 views

+1 vote

1 answer

14

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 in Numerical Ability by `JEET Boss (13.4k points) | 14 views

0 votes

1 answer

15

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 in Numerical Ability by Yash4444 Junior (735 points) | 27 views

0 votes

3 answers

16

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 in Numerical Ability by shivam001 Junior (647 points) | 74 views

0 votes

1 answer

17

ISI2017-DCG-29
The area (in square unit) of the portion enclosed by the curve $\sqrt{2x}+ \sqrt{2y} = 2 \sqrt{3}$ and the axes of reference is $2$ $4$ $6$ $8$

answered Nov 18 in Numerical Ability by imShreyas (347 points) | 13 views

+2 votes

2 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 Nov 13 in Numerical Ability by chirudeepnamini Active (3.3k points) | 92 views

+2 votes

2 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 Nov 13 in Numerical Ability by chirudeepnamini Active (3.3k points) | 56 views

+1 vote

2 answers

20

answered Nov 13 in Numerical Ability by chirudeepnamini Active (3.3k points) | 54 views

+2 votes

1 answer

21

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 in Numerical Ability by `JEET Boss (13.4k points) | 58 views

+3 votes

1 answer

22

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 in Numerical Ability by `JEET Boss (13.4k points) | 209 views

0 votes

1 answer

23

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 in Numerical Ability by GATE_aspirant_2021 (77 points) | 30 views

+5 votes

5 answers

24

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 in Numerical Ability by Arjun Veteran (425k points) | 2.2k views

+2 votes

7 answers

25

GATE2011 AG: GA-4
There are two candidates $P$ and $Q$ in an election. During the campaign, $40\%$ of the voters promised to vote for $P,$ and rest for $Q.$ However, on the day of election $15\%$ of the voters went back on their promise to vote for $P$ ... instead voted for $P.$ Suppose$,P$ lost by $2$ votes$,$ then what was the total number of voters? $100$ $110$ $90$ $95$

answered Oct 31 in Numerical Ability by techbd123 Active (3.2k points) | 182 views

+1 vote

2 answers

26

UGCNET-June-2019-I-35
Consider the following table that shows the number (in lakhs) of different sizes of LED television sets sold by a company over the last seven years from $2012$ to $2018$. Answer the question based on the data contained in the table: Sale of LED ... all the seven years the minimum? $22$- inch Television $24$- inch Television $49$- inch Television $40$- inch Television

answered Oct 30 in Numerical Ability by Shagun Singh (299 points) | 26 views

+1 vote

2 answers

27

UGCNET-June-2019-I-33
Consider the following table that shows the number (in lakhs) of different sizes of LED television sets sold by a company over the last seven years from $2012$ to $2018$. Answer the question based on the data contained in the table: Sale of LED Television sets (in lakhs) of ... $2013$ and $2018$ $1,600,000$ $1,500,000$ $15,000,000$ $16,000,000$

answered Oct 30 in Numerical Ability by Shagun Singh (299 points) | 29 views

+1 vote

2 answers

28

UGCNET-June-2019-I-31
Consider the following table that shows the number (in lakhs) of different sizes of LED television sets sold by a company over the last seven years from $2012$ to $2018$. Answer the question based on the data contained in the table: Sale of LED Television sets (in lakhs) of ... $32$-inch LED Television sets in 2017 compared to that in 2013? $36 \%$ $56 \%$ $57 \%$ $64 \%$

answered Oct 30 in Numerical Ability by Shagun Singh (299 points) | 49 views

+1 vote

2 answers

29

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 Oct 30 in Numerical Ability by Devesh_Kumar (91 points) | 167 views

+1 vote

2 answers

30

ISI2016-DCG-26
If $r$ be the ratio of the roots of the equation $ax^{2}+bx+c=0,$ then $\frac{r}{b}=\frac{r+1}{ac}$ $\frac{r+1}{b}=\frac{r}{ac}$ $\frac{(r+1)^{2}}{r}=\frac{b^{2}}{ac}$ $\left(\frac{r}{b}\right)^{2}=\frac{r+1}{ac}$

answered Oct 27 in Numerical Ability by techbd123 Active (3.2k points) | 30 views

+1 vote

2 answers

31

ISI2014-DCG-22
The conditions on $a$, $b$ and $c$ under which the roots of the quadratic equation $ax^2+bx+c=0 \: ,a \neq 0, \: b \neq 0 $ and $c \neq 0$, are unequal magnitude but of the opposite signs, are the following: $a$ and $c$ have the same sign while $b$ has the ... $c$ has the opposite sign. $a$ and $c$ have the same sign. $a$, $b$ and $c$ have the same sign.

answered Oct 25 in Numerical Ability by chirudeepnamini Active (3.3k points) | 27 views

0 votes

2 answers

32

ISI2016-DCG-2
Let $S=\{6,10,7,13,5,12,8,11,9\},$ and $a=\sum_{x\in S}(x-9)^{2}\:\&\: b=\sum_{x\in S}(x-10)^{2}.$ Then $a<b$ $a>b$ $a=b$ None of these

answered Oct 24 in Numerical Ability by techbd123 Active (3.2k points) | 39 views

0 votes

1 answer

33

ISI2015-DCG-63
If $\sin^{-1} \frac{1}{\sqrt{5}}$ and $\cos ^{-1} \frac{3}{\sqrt{10}}$ lie in $\bigg[0, \dfrac{\pi}{2}\bigg]$, their sum is equal to $\frac{\pi}{6}$ $\frac{\pi}{3}$ $ \sin^ {-1}\frac{1}{\sqrt{50}}$ $\frac{\pi}{4}$

answered Oct 23 in Numerical Ability by `JEET Boss (13.4k points) | 13 views

+2 votes

2 answers

34

ISI2018-DCG-1
The digit in the unit place of the number $7^{78}$ is $1$ $3$ $7$ $9$

answered Oct 20 in Numerical Ability by chirudeepnamini Active (3.3k points) | 58 views

+7 votes

4 answers

35

GATE2018-GA-6
In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift $Rs\; 750$ to each male senior citizen in the town and $Rs\; 1000$ to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only ... (in Rupees) did the philanthropist give away in total? $1,50,000$ $2,00,000$ $1,75,000$ $1,51,000$

answered Oct 17 in Numerical Ability by JashanArora Active (2.2k points) | 3k views

+1 vote

2 answers

36

UGCNET-June-2019-I-32
Consider the following table that shows the number (in lakhs) of different sizes of LED television sets sold by a company over the last seven years from $2012$ to $2018$. Answer the question based on the data contained in the table: Sale of LED Television ... seven years the maximum? $22$ - inch Television $24$ - inch Television $32$ - inch Television $49$ - inch Television

answered Oct 11 in Numerical Ability by 1manoj (17 points) | 35 views

+2 votes

4 answers

37

GATE2017 CE-2: GA-4
What is the value of $x$ when $81\times\left (\frac{16}{25} \right )^{x+2}\div\left (\frac{3}{5} \right )^{2x+4}=144?$ $1$ $-1$ $-2$ $\text{Can not be determined}$

answered Oct 10 in Numerical Ability by techbd123 Active (3.2k points) | 102 views

+2 votes

1 answer

38

UGC NET p1sep2013
The world population growth rate at a certain reference year was 3.5%. Assuming exponential growth of population, after how many years, the population of the world would have increased by a factor 16 ? (A) ~ 80 years (B) ~ 40 years (C) ~ 160 years (D) ~ 320 years Answer: A could you please explain the step?

answered Oct 10 in Numerical Ability by raju paul (347 points) | 719 views

0 votes

1 answer

39

Aptitude: Time, Speed and Distance
Sneha is picked up by her father by car from college everyday. The college gets over at 4 p.m. daily. One day, the college got over an hour earlier than usual. Sneha started walking towards her house. Her father, unaware of this fact., leaves his house as ... . What is the ratio of the father's speed to sneha speed. I think it should be 8:1 but the anwser is 7:1.

answered Oct 10 in Numerical Ability by raju paul (347 points) | 516 views

0 votes

1 answer

40

ISI2014-DCG-60
The equation of any circle passing through the origin and with its centre on the $X$-axis is given by $x^2+y^2-2ax=0$ where $a$ must be positive $x^2+y^2-2ax=0$ for any given $a \in \mathbb{R}$ $x^2+y^2-2by=0$ where $b$ must be positive $x^2+y^2-2by=0$ for any given $b \in \mathbb{R}$

answered Oct 10 in Numerical Ability by `JEET Boss (13.4k points) | 15 views

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