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Recent questions tagged numerical-ability

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GATE Electrical 2026 | GA | Question: 10
$P$ and $Q$ are two positive integers such that $P^{2}=Q^{2}+13$.The product of the numbers $P$ and $Q$ is $\_\_\_\_$$13$$26$$39$$42$
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3 3 votes
1 1 answer
729
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GATE Electrical 2025 | GA | Question: 8
Scores obtained by two students $P$ and $Q$ in seven courses are given in the table below. Based on the information given in the table, which one of the following stateme...
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GATE Electrical 2025 | GA | Question: 9
Spheres of unit diameter are centered at $(l, m, n)$ where $l, m$, and $n$ take every possible integer values.The distance between two spheres is computed from the center...
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13 13 votes
5 answers 5 answers
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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$$11^{52} -1$
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6 6 votes
2 answers 2 answers
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GATE Electrical 2021 | GA | Question: 7
In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown...
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4 4 votes
2 answers 2 answers
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GATE Electrical 2021 | GA | Question: 8
Let $X$ be a continuous random variable denoting the temperature measured. The range of temperature is $[0, 100]$ degree Celsius and let the probability density function ...
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13 13 votes
2 answers 2 answers
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GATE Electrical 2021 | GA | Question: 9
The number of students passing or failing in an exam for a particular subject is presented in the bar chart above. Students who pass the exam cannot appear for the exam a...
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7 7 votes
4 answers 4 answers
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GATE Electrical 2020 | GA | Question: 5
If $\text{P, Q, R, S}$ are four individuals, how many teams of size exceeding one can be formed, with $\text{Q}$ as a member?$5$$6$$7$$8$
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8 8 votes
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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 $\overline{AC}$...
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11 11 votes
4 answers 4 answers
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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 $20$%...
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9 9 votes
4 answers 4 answers
802
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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...
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17 17 votes
4 answers 4 answers
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GATE Electrical 2019 | GA | Question: 6
How many integers are there between $100$ and $1000$ all of whose digits are even?$60$$80$$100$$90$
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15 15 votes
5 answers 5 answers
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GATE Electrical 2019 | GA | Question: 7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the perc...
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8 8 votes
1 answers 1 answer
566
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GATE Electrical 2019 | GA | Question: 9
Given two sets $X=\{1,2,3\}$ and $Y=\{2,3,4\},$ we construct a set $Z$ of all possible fractions where the numerators belong to set $X$ and the denominators belong to set...
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1 1 vote
1 1 answer
453
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GATE Electrical 2012 | Question: 65
The data given in the following table summarizes the monthly budget of an average household.$$\begin{array}{|l|c|c|} \hline \textbf{Category} & \textbf{Amount(Rs.)} \\\hl...
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478
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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. $10$ n...
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1 1 vote
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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 f...
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8 8 votes
3 answers 3 answers
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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 t...
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11 11 votes
2 answers 2 answers
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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 al...
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12 12 votes
3 answers 3 answers
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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 o...
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5 5 votes
2 answers 2 answers
664
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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 b...
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9 9 votes
3 answers 3 answers
870
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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$$ 4 , 8 , 28 $ $8 , 26 , 28$
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8 8 votes
3 answers 3 answers
783
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GATE Electrical 2018 | GA | Question: 3
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$$−5 , −3 , 0 $ $−2 , 0 , 3$$0 , 6 ,...
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363
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GATE Electrical 2017 Set 2 | GA | Question: 5
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is$1/5$$7/30$$1/4$$4/15$
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349
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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$$3$
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310
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GATE Electrical 2017 Set 2 | GA | Question: 8
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have$90$ digits$91$ digits$92$ digits$93$ digits
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298
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GATE Electrical 2017 Set 2 | GA | Question: 4
A test has twenty questions worth $100$ marks in total. There are two types of questions. Multiple choice questions are worth $3$ marks each and essay questions are worth...
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437
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GATE Electrical 2017 Set 2 | GA | Question: 10
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Con...
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282
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GATE Electrical 2017 Set 1 | GA | Question: 5
The probability that a $k$-digit number does NOT contain the digits $0, 5$ or $9$ is$0.3^{k}$$0.6^{k}$$0.7^{k}$$0.9^{k}$
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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 pers...
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