Recent questions tagged numerical-ability

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1

GATE Civil 2021 Set 2 | GA Question: 3
Two identical cube shaped dice each with faces numbered $1$ to $6$ are rolled simultaneously. The probability that an even number is rolled out on each dice is: $\frac{1}{36}$ $\frac{1}{12}$ $\frac{1}{8}$ $\frac{1}{4}$

asked Mar 1 in Numerical Ability by jothee (5.2k points)

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1 answer

2

GATE Civil 2021 Set 2 | GA Question: 4
$\oplus$ and $\odot$ are two operators on numbers $p$ and $q$ such that $p \odot q = p-q,$ and $p \oplus q = p\times q$ Then, $\left ( 9\odot \left ( 6\oplus 7 \right ) \right )\odot \left ( 7\oplus \left ( 6 \odot 5 \right ) \right )=$ $40$ $-26$ $-33$ $-40$

asked Mar 1 in Numerical Ability by jothee (5.2k points)

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3

GATE Civil 2021 Set 2 | GA Question: 5
Four persons $P, Q, R$ and $S$ are to be seated in a row. $R$ should not be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is: $6$ $9$ $18$ $24$

asked Mar 1 in Numerical Ability by jothee (5.2k points)

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4

GATE Civil 2021 Set 2 | GA Question: 9
In the figure shown above, $\text{PQRS}$ is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at $S$ and $Q$. The probability that any point picked randomly within the square falls in the ... ____________ $4-\frac{\pi }{2}$ $\frac{1}{2}$ $\frac{\pi }{2}-1$ $\frac{\pi }{4}$

asked Mar 1 in Numerical Ability by jothee (5.2k points)

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5

GATE Civil 2021 Set 2 | GA Question: 10
In an equilateral triangle $\text{PQR}$, side $\text{PQ}$ is divided into four equal parts, side $\text{QR}$ is divided into six equal parts and side $\text{PR}$ is divided into eight equals parts. The length of each subdivided part in $\text{cm}$ is an integer. ... triangle $\text{PQR}$ possible, in $\text{cm}^{2}$, is $18$ $24$ $48\sqrt{3}$ $144 \sqrt{3}$

asked Mar 1 in Numerical Ability by jothee (5.2k points)

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6

GATE Civil 2021 Set 1 | GA Question: 3
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink neither tea nor coffee? $15$ $25$ $35$ $40$

asked Feb 20 in Numerical Ability by Arjun (8.7k points)

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7

GATE Civil 2021 Set 1 | GA Question: 4
$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q=\dfrac{p^{2}}{q}$; If $x\bigoplus y=2\bigodot 2$, then $x=$ $\frac{y}{2}$ $y$ $\frac{3y}{2}$ $2y$

asked Feb 20 in Numerical Ability by Arjun (8.7k points)

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8

GATE Civil 2021 Set 1 | GA Question: 5
Four persons $\text{P, Q, R}$ and $\text{S}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{R}$ cannot sit adjacent to each other. $\text{S}$ should be seated to the right of $\text{Q}$. The number of distinct seating arrangements possible is: $2$ $4$ $6$ $8$

asked Feb 20 in Numerical Ability by Arjun (8.7k points)

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1 answer

9

GATE Civil 2021 Set 1 | GA Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above. The value of $\theta$, in degrees, is _______________ $36$ $45$ $72$ $108$

asked Feb 20 in Numerical Ability by Arjun (8.7k points)

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10

GATE Civil 2021 Set 1 | GA Question: 9
A function, $\lambda$, is defined by $\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2}, & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{matrix}\right.$ ... $-1$ $0$ $\frac{16}{3}$ $16$

asked Feb 20 in Numerical Ability by Arjun (8.7k points)

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2 answers

11

GATE Civil 2020 Set 1 | GA Question: 5
The sum of two positive numbers is $100$. After subtracting $5$ from each number, the product of the resulting numbers is $0$. One of the original numbers is ______. $80$ $85$ $90$ $95$

asked Feb 28, 2020 in Numerical Ability by jothee (5.2k points)

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12

GATE Civil 2020 Set 1 | GA Question: 8
Insert seven numbers between $2$ and $34$, such that the resulting sequence including $2$ and $34$ is an arithmetic progression. The sum of these inserted seven numbers is ______. $120$ $124$ $126$ $130$

asked Feb 28, 2020 in Numerical Ability by jothee (5.2k points)

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1 answer

13

GATE Civil 2020 Set 1 | GA Question: 9
The unit’s place in $26591749^{110016}$ is ______. $1$ $3$ $6$ $9$

asked Feb 28, 2020 in Numerical Ability by jothee (5.2k points)

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1 answer

14

GATE Civil 2020 Set 1 | GA Question: 10
The total expenditure of a family, on different activities in a month, is shown in the pie-chart. The extra money spent on education as compared to transport (in percent) is ______. $5$ $33.3$ $50$ $100$

asked Feb 28, 2020 in Numerical Ability by jothee (5.2k points)

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15

GATE Civil 2020 Set 2 | GA Question: 5
If $f(x) = x^2$ for each $x\in (-\infty,\infty)$, then $\large \dfrac{f\left(f\left(f(x)\right)\right)}{f(x)}$ is equal to _______. $f(x)$ $(f(x))^2$ $(f(x))^3$ $(f(x))^4$

asked Feb 13, 2020 in Numerical Ability by jothee (5.2k points)

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1 answer

16

GATE Civil 2020 Set 2 | GA Question: 8
The ratio of ‘the sum of the odd positive integers from $1$ to $100$’ to ‘the sum of the even positive integers from $150$ to $200$’ is ________. $45:95$ $1:2$ $50:91$ $1:1$

asked Feb 13, 2020 in Numerical Ability by jothee (5.2k points)

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1 answer

17

GATE Civil 2020 Set 2 | GA Question: 9
In a school of $1000$ students, $300$ students play chess and $600$ students play football. If $50$ students play both chess and football, the number of students who play neither is ________. $200$ $150$ $100$ $50$

asked Feb 13, 2020 in Numerical Ability by jothee (5.2k points)

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1 answer

18

GATE Civil 2020 Set 2 | GA Question: 10
The monthly distribution of $9$ Watt LED bulbs sold by two firms $X$ and $Y$ from January to June $2018$ is shown in the pie-chart and the corresponding table. If the total number of LED bulbs sold by the two firms during April-June $2018$ is $50000$, then the ... $11250$ $9750$ $8750$ $8250$

asked Feb 13, 2020 in Numerical Ability by jothee (5.2k points)

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19

GATE Civil 2017 Set 2 | GA Question: 10
The points in the graph below represent the halts of a lift for a durations of $1$ minute, over a period of $1$ hour. Which of the following statements are correct? The elevator moves directly from any non-ground floor to another non-ground ... the fourth floor for the longest duration over the one hour period. Only i Only ii Both i and ii Neither i nor ii

asked May 18, 2019 in Numerical Ability by Lakshman Patel RJIT (10.7k points)

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20

GATE Civil 2017 Set 2 | GA Question: 9
Budhan covers a distance of $19$ km in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the time and walks the rest (at the same speed as before) and covers $26$ km in $2$ hours. The speed in km\h at which Budhan walk is $1$ $4$ $5$ $6$

asked May 18, 2019 in Numerical Ability by Lakshman Patel RJIT (10.7k points)

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21

GATE Civil 2017 Set 2 | GA Question: 5
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is $\dfrac{1}{9} \\$ $\dfrac{2}{9} \\$ $\dfrac{1}{3} \\$ $\dfrac{4}{9}$

asked May 18, 2019 in Numerical Ability by Lakshman Patel RJIT (10.7k points)

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22

GATE Civil 2017 Set 2 | GA Question: 4
What is the value of $x$ when $81\times\left (\dfrac{16}{25} \right )^{x+2}\div\left (\dfrac{3}{5} \right )^{2x+4}=144?$ $1$ $-1$ $-2$ $\text{Can not be determined}$

asked May 18, 2019 in Numerical Ability by Lakshman Patel RJIT (10.7k points)

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23

GATE Civil 2019 Set 1 | GA Question: 3
On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ladder is resting at a point located at one-fifth of the height of the pole from the bottom, the height of the pole is ______ meters. $15$ $25$ $30$ $35$

asked Feb 14, 2019 in Numerical Ability by Arjun (8.7k points)

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24

GATE Civil 2019 Set 1 | GA Question: 7
In a sports academy of $300$ peoples, $105$ play only cricket, $70$ play only hockey, $50$ play only football, $25$ play both cricket and hockey, $15$ play both hockey and football and $30$ play both cricket and football. The rest of them play all three sports. What is the percentage of people who play at least two sports? $23.30$ $25.00$ $28.00$ $50.00$

asked Feb 14, 2019 in Numerical Ability by Arjun (8.7k points)

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25

GATE Civil 2019 Set 1 | GA Question: 9
A square has side $5$ cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is _______ cm. $18.50$ $15.10$ $10.00$ $8.50$

asked Feb 14, 2019 in Numerical Ability by Arjun (8.7k points)

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26

GATE Civil 2019 Set 2 | GA Question: 3
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the cost carpet is Rs.$50$ sq. mts. how much money (in Rs.) will be spent by Suresh for the carpet now? $Rs.1,65,000$ $Rs.1,92,500$ $Rs.2,75,000$ $Rs.1,27,500$

asked Feb 12, 2019 in Numerical Ability by Arjun (8.7k points)

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1 answer

27

GATE Civil 2019 Set 2 | GA Question: 7
Population of state $X$ increased by $x\%$ and the population of state $Y$ increased by $y\%$ from $2001$ to $2011$. Assume that $x$ is greater than $y$. Let $P$ be the ratio of the population of state $X$ to state $Y$ ... ________ $\dfrac{x}{y} \\$ $x-y \\$ $\dfrac{100(x-y)}{100+x} \\$ $\dfrac{100(x-y)}{100+y}$

asked Feb 12, 2019 in Numerical Ability by Arjun (8.7k points)

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28

GATE Civil 2019 Set 2 | GA Question: 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 ... the tank to be filled? (Assume that the rate of drainage is independent of the Head) $1.50$ $2.00$ $2.50$ $4.00$

asked Feb 12, 2019 in Numerical Ability by Arjun (8.7k points)

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29

GATE Civil 2016 Set 2 | GA Question: 4
$(x\% \text{ of }y)$ + $(y\% \text{ of }x)$ is equivalent to ______ . $2\% \text{ of } xy$ $2\% \text{ of } (xy/100)$ $xy\% \text{ of } 100$ $100\% \text{ of } xy$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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30

GATE Civil 2016 Set 2 | GA Question: 5
The sum of the digits of a two digit number is $12$. If the new number formed by reversing the digits is greater than the original number by $54$, find the original number. $39$ $57$ $66$ $93$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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31

GATE Civil 2016 Set 2 | GA Question: 6
Two finance companies, $P$ and $Q$, declared fixed annual rates of interest on the amounts invested with them. The rates of interest offered by these companies may differ from year to year. Year-wise annual rates offered by these companies are shown by the line graph ... interests from companies $P$ and $Q$ would be in the ratio: $2:3$ $3:4$ $6:7$ $4:3$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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32

GATE Civil 2016 Set 2 | GA Question: 9
A square pyramid has a base perimeter $x$, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid? $x^{2}$ $0.75 \: x^{2}$ $0.50 \: x^{2}$ $0.25 \: x^{2}$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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33

GATE Civil 2016 Set 2 | GA Question: 10
Ananth takes $6$ hours and Bharath takes $4$ hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace. $1$ $2$ $3$ $4$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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34

GATE Civil 2016 Set 1 | GA Question: 5
A cube is built using $64$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is _________ $56$ $64$ $72$ $96$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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35

GATE Civil 2016 Set 1 | GA Question: 6
A shaving set company sells $4$ different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. $48$, Smooth at Rs. $63$, Soft at Rs. $78$ Executive at Rs. $173$ per piece. The table below ... Which product contributes the greatest fraction to the revenue of the company in that year? Elegance Executive Smooth Soft

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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36

GATE Civil 2016 Set 1 | GA Question: 9
If $f(x)=2x^7 +3x-5$, which of the following is a factor of $f(x)$? $(x^3+8)$ $(x-1)$ $(2x-5)$ $(x+1)$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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37

GATE Civil 2016 Set 1 | GA Question: 10
In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of $80$ units, it takes $100$ cycles for failure. When the load is halved, it takes $10000$ cycles for failure. The load for which the failure will happen in $5000$ cycles is _______. $40.00$ $46.02$ $60.01$ $92.02$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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38

GATE Civil 2017 Set 1 | GA Question: 4
If the radius of a right circular cone is increased by $50\%$, its volume increases by $75\%$ $100\%$ $125\%$ $237.5\%$

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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39

GATE Civil 2017 Set 1 | GA Question: 5
The following sequence of numbers is arranged in increasing order: $1,x,x,x,y,y,9,16,18$. Given that the mean and median are equal, and are also equal to twice the mode, the value of $y$ is $5$ $6$ $7$ $8$

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (11.9k points)

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40

GATE Civil 2017 Set 1 | GA Question: 8
The last digit of $(2171)^{7}+(2172)^{9}+(2173)^{11}+(2174)^{13}$ is $2$ $4$ $6$ $8$

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (11.9k points)