Recent questions tagged numerical-ability - GATE Civil Q&A

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GATE2019 CE-1: GA-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 (2.8k points)

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2

GATE2019 CE-1: GA-4
If $E=10,J=20,O=30,$ and $T=40,$ what will be $P+E+S+T?$ $51$ $82$ $120$ $164$

asked Feb 14, 2019 in Numerical Ability by Arjun (2.8k points)

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3

GATE2019 CE-1: GA-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 (2.8k points)

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4

GATE2019 CE-1: GA-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 (2.8k points)

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5

GATE2019 CE-2: GA-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 (2.8k points)

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6

GATE2019 CE-2: GA-4
A retaining wall with measurements $30$ m $\times12$ m $ \times 6$ m was constructed with bricks of dimensions $8$ cm $\times6$ cm $ \times 6$ cm. If $60\%$ of the wall consists of bricks,the number of bricks used for the construction is _______ lakhs. $30$ $40$ $45$ $75$

asked Feb 12, 2019 in Numerical Ability by Arjun (2.8k points)

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7

GATE2019 CE-2: GA-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 $Y$ in a given year. The percentage increase in $P$ ... $\dfrac{x}{y} \\$ $x-y \\$ $\dfrac{100(x-y)}{100+x} \\$ $\dfrac{100(x-y)}{100+y}$

asked Feb 12, 2019 in Numerical Ability by Arjun (2.8k points)

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8

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) $1.50$ $2.00$ $2.50$ $4.00$

asked Feb 12, 2019 in Numerical Ability by Arjun (2.8k points)

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9

GATE2016-2-GA-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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10

GATE2016-2-1
The spot speeds (expressed in km/hr) observed at a road section are $66, 62, 45, 79, 32, 51, 56, 60, 53,$ and $49$. The median speed (expressed in km / hr) is ______ (Note: answer with one decimal accuracy)

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

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11

GATE2017 CE-1: GA-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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12

GATE2017 CE-1: GA-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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13

GATE2017 CE-1: GA-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)

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14

GATE2017 CE-1: GA-9
Two machines $M1$ and $M2$ are able to execute any of four jobs $P, Q, R$ and $S$. The machines can perform one job on one object at a time. Jobs $P, Q, R$ and $S$ take $30$ minutes, $20$ minutes, $60$ minutes and $15$ minutes each respectively. There ... $S$ on $4$ objects. What is the minimum time needed to complete all the jobs? $2$ hours $2.5$ hours $3$ hours $3.5$ hours

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

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15

GATE2017 CE-1: GA-10
The bar graph below shows the output of five carpenters over one month, each of whom made different items of furniture: chairs, tables, and beds. Consider the following statements. The number of beds made by carpenter $C2$ is exactly the same as the number of tables ... the total number of tables. Which one of the following is true? Only i Only ii Both i and ii Neither i nor ii

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

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16

GATE2018 CE-2: GA-9
Given that $\dfrac{\log P}{y-z} = \dfrac{\log Q}{z-x} = \dfrac{\log R}{x-y} = 10$ for $x \neq y \neq z$, what is the value of the product $PQR$? $0$ $1$ $xyz$ $10^{xyz}$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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17

GATE2018 CE-2: GA-5
For non-negative integers, $a, b, c$, what would be the value of $a+b+c$ if $\log a + \log b + \log c = 0$? $3$ $1$ $0$ $-1$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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18

GATE2018 CE-2: GA-8
The annual average rainfall in a tropical city is $1000$ mm. On a particular rainy day ($24$-hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the $24$-hour period, $50$% of the rainfall falling on a rooftop, which had an ... a tank. What is the total volume of water collected in the tank litters? $25,000$ $18, 750$ $7,500$ $3.125$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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19

GATE2018 CE-2: GA-7
A faulty wall clock is known to gain $15$ minutes every $24$ hours. It is synchronized to the correct time at $9$ AM on $11$th July. What will be the correct time to the nearest minute when the clock shows $2$ PM on $15$th July of the same year? $12:45$ PM $12:58$ PM $1:00$ PM $2:00$ PM

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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20

GATE2018 CE-2: GA-6
In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. $4900$ for a deviation of $7$ units, what would be the loss in Rupees for a deviation of $4$ units from the target? $400$ $1200$ $1600$ $2800$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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21

GATE2018 CE-2: GA-4
A three-member committee has to be formed from a group of $9$ people. How many such distinct committees can be formed? $27$ $72$ $81$ $84$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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22

GATE2018 CE-2: GA-3
$\underbrace{a+a+a+ \dots +a}_{\text{n times}}=a^2b$ and $\underbrace{b+b+b+ \dots +b}_{\text{m times}} = ab^2$, where $a, b, n, m$ are natural numbers. What is the value of $\Bigg( \underbrace{m+m+m+ \dots +m}_{\text{n times}} \Bigg) \Bigg( \underbrace{n+ n+ n+ \dots + n}_{\text{m times}} \Bigg)?$ $2a^{2}b^{2}$ $a^{4}b^{4}$ $ab(a+b)$ $a^{2}+b^{2}$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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23

GATE2018 CE-1: GA-5
The temperature $T$ in a room varies as a function of the outside temperature $T_0$ and the number of persons in the room $p$, according to the relation $T=K(\theta p +T_0)$, where $\theta$ and $K$ are constants. What would be the value of $\theta$ ... $0.8$ $1.0$ $2.0$ $10.0$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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24

GATE2018 CE-1: GA-3
Hema's age is $5$ years more than twice Hari's age. Suresh's age is $13$ years less than Hari's age. If Suresh is $3$ times as old as Hema, then how old is Hema? $14$ $17$ $18$ $19$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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25

GATE2018 CE-1: GA-10
Each of the letters arranged as below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that $(A \times B \times C), (B \times G \times E)$ and $(D \times E \times F)$ are equal. Which integer among the following choices cannot be ... $4$ $5$ $6$ $9$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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26

GATE2018 CE-1: GA-9
Consider a sequence of numbers $a_1, a_2, a_3, \dots , a_n$ where $a_n = \dfrac{1}{n}-\dfrac{1}{n+2}$, for each integer $n>0$. Whart is the sum of the first $50$ terms? $\bigg( 1+ \dfrac{1}{2} \bigg) - \dfrac{1}{50} \\$ ... $1 - \bigg( \dfrac{1}{51} + \dfrac{1}{52} \bigg)$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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27

GATE2018 CE-1: GA-4
Tower A is $90$ m tall and tower B is $140$ m tall. They are 100 m apart. A horizontal skywalk connects the floors at $70$ m in both the towers. If a taut rope connects the top of tower A to the bottom tower B, at what distance (in meters) from tower A will the rope intersect the skywalk? $22.22$ $50$ $57.87$ $77.78$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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28

GATE2018 CE-1: GA-8
Which of the following function(s) is an accurate description of the graph for the range(s) indicated? $y=2x+4 \text{ for } -3 \leq x \leq -1$ $y= \mid x-1 \mid \text{ for } -1 \leq x \leq 2$ $y= \mid\mid x \mid -1 \mid \text{ for } -1 \leq x \leq 2$ $y=1 \text{ for } 2 \leq x \leq 3$ i, ii and iii only i, ii and iv only i and iv only ii and iv only

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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29

GATE2018 CE-1: GA-7
The price of a wire made of a super alloy material is proportional to the square of its length. The price of $10 m$ length of the wire is Rs. $1600$. What would be the total price (in Rs.) of two wires of length $4m$ and $6m$ ? $768$ $832$ $1440$ $1600$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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30

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? $48$ $52$ $60$ $108$

asked Feb 17, 2018 in Numerical Ability by gatecse (3.9k points)

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