Recent questions tagged numerical-ability

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1

GATE Electrical 2021 | GA Question: 4
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$? $11^{26} +1$ $11^{33} +1$ $11^{39} -1$ $11^{52} -1$

Arjun asked in Quantitative Aptitude Feb 20, 2021

by Arjun

9.3k points

1 vote

1 answer

2

GATE Electrical 2021 | GA Question: 7
In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown, in $\text{cm}^{2}$ is: $12.50$ $6.25$ $3.125$ $1.5625$

Arjun asked in Quantitative Aptitude Feb 20, 2021

by Arjun

9.3k points

1 vote

1 answer

3

GATE Electrical 2021 | GA Question: 8
Let $X$ be a continuous random variable denoting the temperature measured. The range of temperature is $[0, 100]$ degree Celsius and let the probability density function of $X$ be $f\left ( x \right )=0.01$ for $0\leq X\leq 100$. The mean of $X$ is __________ $2.5$ $5.0$ $25.0$ $50.0$

Arjun asked in Quantitative Aptitude Feb 20, 2021

by Arjun

9.3k points

1 vote

1 answer

4

GATE Electrical 2021 | GA Question: 9
The number of students passing or failing in an exam for a particular subject is presented in the bar chart above. Students who pass the exam cannot appear for the exam again. Students who fail the exam in the first attempt must appear for the exam in the following ... $65$ and $53$ $60$ and $50$ $55$ and $53$ $55$ and $48$

Arjun asked in Quantitative Aptitude Feb 20, 2021

by Arjun

9.3k points

2 votes

1 answer

5

GATE Electrical 2020 | GA Question: 5
If $\text{P, Q, R, S}$ are four individuals, how many teams of size exceeding one can be formed, with $\text{Q}$ as a member? $5$ $6$ $7$ $8$

go_editor asked in Quantitative Aptitude Feb 28, 2020

by go_editor

1.9k points

1 vote

1 answer

6

GATE Electrical 2020 | GA Question: 9
Given a semicircle with $\text{O}$ as the centre, as shown in the figure, the ratio $\dfrac{\overline{AC}+\overline{CB}}{\overline{AB}}$ is _______, where $\overline{AC}$, $\overline{CB}$ and $\overline{AB}$ are chords. $\sqrt{2}$ $\sqrt{3}$ $2$ $3$

go_editor asked in Quantitative Aptitude Feb 28, 2020

by go_editor

1.9k points

1 vote

2 answers

7

GATE Electrical 2020 | GA Question: 10
The revenue and expenditure of four different companies $\text{P, Q, R and S}$ in $2015$ are shown in the figure. If the revenue of company $\text{Q}$ in $2015$ was $20$% more than that in $2014$, and company $\text{Q}$ had earned a profit of ... expenditure in $2014$, then its expenditure (in million rupees) in $2014$ was _______. $32.7$ $33.7$ $34.1$ $35.1$

go_editor asked in Quantitative Aptitude Feb 28, 2020

by go_editor

1.9k points

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8

GATE Electrical 2019 | GA Question: 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$?$ $60$ $80$ $90$ $120$

Arjun asked in Quantitative Aptitude Feb 12, 2019

by Arjun

9.3k points

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1 answer

9

GATE Electrical 2019 | GA Question: 6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$

Arjun asked in Quantitative Aptitude Feb 12, 2019

by Arjun

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10

GATE Electrical 2019 | GA Question: 7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$

Arjun asked in Quantitative Aptitude Feb 12, 2019

by Arjun

9.3k points

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11

GATE Electrical 2019 | GA Question: 9
Given two sets $X=\{1,2,3\}$ and $Y=\{2,3,4\},$ we construct a set $Z$ of all possible fractions where the numerators belong to set $X$ and the denominators belong to set $Y.$ The product of elements having minimum and maximum values in the set $Z$ is _____. $1/12$ $1/8$ $1/6$ $3/8$

Arjun asked in Quantitative Aptitude Feb 12, 2019

by Arjun

9.3k points

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12

GATE Electrical 2012 | Question: 65
The data given in the following table summarizes the monthly budget of an average household. ... The approximate percentage of the monthly budget $\textbf{NOT}$ spent on savings is $10\%$ $14\%$ $81\%$ $86\%$

Andrijana3306 asked in Quantitative Aptitude Mar 24, 2018

by Andrijana3306

1.4k points

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13

GATE Electrical 2012 | Question: 63
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$

Andrijana3306 asked in Quantitative Aptitude Mar 24, 2018

by Andrijana3306

1.4k points

1 vote

0 answers

14

GATE Electrical 2012 | Question: 61
$A$ and $B$ are friends. They decide to meet between $1:00$ pm and $2:00$ pm on a given day. There is a condition that whoever arrives first will not wait for the other for more than $15$ minutes. The probability that they will meet on that day is $1/4$ $1/16$ $7/16$ $9/16$

Andrijana3306 asked in Quantitative Aptitude Mar 24, 2018

by Andrijana3306

1.4k points

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15

GATE Electrical 2018 | GA Question: 6
An e-mail password must contain three characters. The password has to contain one numeral from $0$ to $9,$ one upper case and one lower case character from the English alphabet. How many distinct passwords are possible$?$ $6,760$ $13,520$ $40,560$ $1,05,456$

Arjun asked in Quantitative Aptitude Feb 19, 2018

by Arjun

9.3k points

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1 answer

16

GATE Electrical 2018 | GA Question: 9
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by $25 \%$. ... $35.75$ $40.25$ $43.75$ $46.25$

Arjun asked in Quantitative Aptitude Feb 19, 2018

by Arjun

9.3k points

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17

GATE Electrical 2018 | GA Question: 8
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys? $0 \\ $ $\frac{325}{864} \\ $ $\frac{525}{864} \\ $ $\frac{5}{12}$

Arjun asked in Quantitative Aptitude Feb 19, 2018

by Arjun

9.3k points

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1 answer

18

GATE Electrical 2018 | GA Question: 5
Functions $F(a,b)$ and $G(a,b)$ are defined as follows: $F(a,b)=(a-b)^{2}$ and $G(a,b)=\mid a-b\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$ What would be the value of $G(F(1,3),G(1,3))?$ $2$ $4$ $6$ $36$

Arjun asked in Quantitative Aptitude Feb 19, 2018

by Arjun

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19

GATE Electrical 2018 | GA Question: 4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer? $4 , 8 , 18 $ $4 , 10 , 16$ $ 4 , 8 , 28 $ $8 , 26 , 28$

Arjun asked in Quantitative Aptitude Feb 19, 2018

by Arjun

9.3k points

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20

GATE Electrical 2018 | GA Question: 3
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$ $−5 , −3 , 0 $ $−2 , 0 , 3$ $0 , 6 , 8$ $1 , 3 , 6$

Arjun asked in Quantitative Aptitude Feb 19, 2018

by Arjun

9.3k points

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21

GATE Electrical 2017 Set 2 | GA Question: 9
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5, 5]$ is $0$ $1$ $2$ $3$

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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22

GATE Electrical 2017 Set 2 | GA Question: 8
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have $90$ digits $91$ digits $92$ digits $93$ digits

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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23

GATE Electrical 2017 Set 2 | GA Question: 5
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is $1/5$ $7/30$ $1/4$ $4/15$

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

9.3k points

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24

GATE Electrical 2017 Set 2 | GA Question: 4
A test has twenty questions worth $100$ marks in total. There are two types of questions. Multiple choice questions are worth $3$ marks each and essay questions are worth $11$ marks each. How many multiple choice questions does the exam have? $12$ $15$ $18$ $19$

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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25

GATE Electrical 2017 Set 2 | GA Question: 10
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at $0.05$ bar intervals in this plot. If a possibility of a ... over a region, which of the following regions is most likely to have a thunderstorm? $P$ $Q$ $R$ $S$

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

9.3k points

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26

GATE Electrical 2017 Set 1 | GA Question: 7
Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every women has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is $2$ $3$ $4$ Cannot be determined.

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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27

GATE Electrical 2017 Set 1 | GA Question: 9
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured Red, Pink, Blue and White respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ... the shirts so that no one has a shirt with a colour he or she dislikes? $21$ $18$ $16$ $14$

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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28

GATE Electrical 2017 Set 1 | GA Question: 8
The expression $\frac{(x+y)-|x-y|}{2}$ is equal to The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above.

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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29

GATE Electrical 2017 Set 1 | GA Question: 5
The probability that a $k$-digit number does NOT contain the digits $0, 5$ or $9$ is $0.3^{k}$ $0.6^{k}$ $0.7^{k}$ $0.9^{k}$

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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30

GATE Electrical 2017 Set 1 | GA Question: 4
Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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31

GATE Electrical 2017 Set 1 | GA Question: 10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$m intervals in this plot. If in a flood, the water level rises to $525$m, which of the villages $P, Q, R, S, T$ get submerged? $P, Q$ $P, Q, T$ $R, S, T$ $Q, R, S$

Arjun asked in Quantitative Aptitude Feb 27, 2017

by Arjun

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32

GATE Electrical 2013 | Question: 63
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is $(-\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$

piyag476 asked in Quantitative Aptitude Feb 12, 2017

by piyag476

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33

GATE Electrical 2013 | Question: 65
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $ $\dfrac{9(9^n+1)}{10}+1 \\$ $\dfrac{9(9^n-1)}{8}+1 \\$ $\dfrac{9(9^n-1)}{8}+n \\$ $\dfrac{9(9^n-1)}{8}+n^2$

piyag476 asked in Quantitative Aptitude Feb 12, 2017

by piyag476

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34

GATE Electrical 2013 | Question: 64
A car travels $8$ km in the first quarter of an hour, $6$ km in the second quarter and $16$ km in the third quarter. The average speed of the car in km per hour over the entire journey is $30$ $36$ $40$ $24$

piyag476 asked in Quantitative Aptitude Feb 12, 2017

by piyag476

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35

GATE Electrical 2013 | Question: 57
In the summer of $2012,$ in New Delhi, the mean temperature of Monday to Wednesday was $41^{\circ}C$ and of Tuesday to Thursday was $43^{\circ}C$. If the temperature on Thursday was $15\%$ higher than that of Monday, then the temperature in $^{\circ}C$ on Thursday was $40$ $43$ $46$ $49$

piyag476 asked in Quantitative Aptitude Feb 12, 2017

by piyag476

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36

GATE Electrical 2013 | Question: 61
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$

piyag476 asked in Quantitative Aptitude Feb 12, 2017

by piyag476

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37

GATE Electrical 2014 Set 3 | GA Question: 8
The Gross Domestic Product $(GDP)$ in Rupees grew at $7\%$ during $2012$-$2013$.For international comparison, the $GDP$ is compared in $US$ Dollars $(USD)$ after conversion based on the market exchange rate. During the period $2012-2013$ the exchange ... the period $2012-2013$ increased by $5 \%$ decreased by $13\%$ decreased by $20\%$ decreased by $11\%$

makhdoom ghaya asked in Quantitative Aptitude Feb 12, 2017

by makhdoom ghaya

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38

GATE Electrical 2014 Set 3 | GA Question: 9
The ratio of male to female students in a college for five years is plotted in the following line graph If the number of female students in $2011$ and $2012$ is equal, what is the ratio of male students in $2012$ to male students in $2011$? $1:1$ $2:1$ $1.5:1$ $2.5:1$

makhdoom ghaya asked in Quantitative Aptitude Feb 12, 2017

by makhdoom ghaya

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39

GATE Electrical 2014 Set 3 | GA Question: 5
The table below has question-wise data on the performance of students in an examination. The marks for each question are also listed. There is no negative or partial marking in the examination. ... What is the average of the marks obtained by the class in the examination? $1.34$ $1.74$ $3.02$ $3.91$

makhdoom ghaya asked in Quantitative Aptitude Feb 12, 2017

by makhdoom ghaya

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40

GATE Electrical 2014 Set 3 | GA Question: 10
Consider the equation: $(7526)_8$ − $(Y)_8$ = $(4364)_8$ , where $(X)_N$ stands for $X$ to the base $N$. Find $Y$ $1634$ $1737$ $3142$ $3162$

makhdoom ghaya asked in Quantitative Aptitude Feb 12, 2017

by makhdoom ghaya

9.3k points