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Recent questions tagged numerical-ability

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GATE IN 2026 | GA | Question: 4
A coin with heads facing up is shown as (H) and a coin with tails facing up is shown as (T).Six coins are placed in the Starting Arrangement, as shown in the figure below...
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GATE IN 2026 | Question: 21
A data set is given to be $[1,2,0,-1,-3,1,2,0,1]$.The median of the data set is $\_\_\_\_$ . (rounded off to the nearest integer)
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GATE IN 2026 | Question: 46
A $16$ -bit processor has $16$ -bit wide instructions and a few internal registers. Every $16$ -bit instruction is encoded in a fixed format with one operation code of $7...
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GATE IN 2024 | GA | Question: 3
​​​A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error i...
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GATE IN 2024 | GA | Question: 5
​​​​The ratio of the number of girls to boys in class $\text{VIII}$ is the same as the ratio of the number of boys to girls in class $\text{IX}$. The total number of stud...
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GATE IN 2021 | 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 ...
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GATE IN 2021 | 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}}...
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GATE IN 2021 | 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 $\text{R}$ ca...
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GATE IN 2021 | 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 __...
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GATE IN 2021 | 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{...
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GATE IN 2020 | GA | Question: 5
Define $[x]$ as the greatest integer less than or equal to $x$, for each $x \; \in \; [-\infty,\infty]$. If $y=[x],$ then area under $y$ for $x \; \in \; [1,4]$ is _____...
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GATE IN 2020 | GA | Question: 8
The sum of the first $n$ terms in the sequence $\text{8, 88, 888, 8888,$\dots$}$ is __________.$\frac{81}{80}(10^n-1)+\frac{9}{8}n$$\frac{81}{80}(10^n-1)-\frac{9}{8}n$$\f...
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GATE IN 2020 | GA | Question: 9
Select the graph that schematically represents $\text{BOTH} \;y=x^m$ and $y=x^{1/m}$ properly in the interval $0\leq x\leq 1$, for integer values of $m$, where $m>1$.
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GATE IN 2020 | GA | Question: 10
The bar graph shows the data of the students who appeared and passes in an examination for four schools $\text{P, Q, R and S.}$ The average of success rates (in percentag...
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GATE IN 2017 | GA | Question: 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$Cannot be determined
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GATE IN 2017 | GA | Question: 5
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\frac{1}{9}$$\frac{2}{9}...
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GATE IN 2017 | GA | Question: 9
Budhan covers a distance of $\text{19 km}$ in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for h...
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GATE IN 2017 | GA | Question: 10
The points in the graph below represent the halts of a lift for durations of $1$ minute, over a period of $1$ hour.Which of the following statements are correct?The eleva...
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GATE IN 2019 | GA | Question: 3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$
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GATE IN 2019 | GA | Question: 7
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, on...
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GATE IN 2019 | GA | Question: 9
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The ...
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GATE IN 2016 | GA | Question: 5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120...
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GATE IN 2016 | GA | Question: 6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will ...
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GATE IN 2016 | GA | Question: 9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant.$14.95$$15.25$$15.70$$20.35$
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GATE IN 2016 | GA | Question: 10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $...
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GATE IN 2015 | GA | Question: 5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to c...
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GATE IN 2015 | GA | Question: 8
In the given figure angle $Q$ is a right angle, $PS:QS=3:1, RT:QT=5:2$ and $PU:UR=1:1$. If area of triangle $QTS$ is $20\; cm^2$, then the area of triangle $PQR$ in $cm^2...
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GATE IN 2015 | GA | Question: 9
Right triangle $PQR$ is to be constructed in the xy-plane so that the right angle is at $P$ and line $PR$ is parallel to the x-axis. The $x$ and $y$ coordinates of $P, Q$...
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GATE IN 2015 | GA | Question: 10
A coin is tossed thrice. Let $X$ be the event that head occurs in each of the first two tosses. Let $Y$ be the event that a tail occurs on the third toss. Let $Z$ be the ...
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GATE IN 2014 | GA | Question: 4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$.The average time between successive occurrence...
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GATE IN 2014 | GA | Question: 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 its growth rate?$3-4$ years$4-5$ years$5-6$ years...
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GATE IN 2014 | GA | Question: 8
The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percent...
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GATE IN 2014 | GA | Question: 10
$10\%$ of the population in a town is $HIV^+$. A new diagnostic kit for $HIV$ detection is available; this kit correctly identifies $HIV^+$ individuals $95\%$ of the time...
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GATE IN 2013 | Question: 64
What is the chance that a leap year, selected at random, will contain $53$ Saturdays?$2/7$$3/7$$1/7$$5/7$
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GATE IN 2013 | Question: 63
A car travels $8\;\text{km}$ in the first quarter of an hour, $6\;\text{km}$ in the second quarter and $16\;\text{km}$ in the third quarter. The average speed of the car ...
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GATE IN 2013 | Question: 62
The set of values of $\text{p}$ for which the roots of the equation $3\text{x}^2+2\text{x}+\text{p}\text{(p-1)}=0$ are of opposite sign is $(-\infty,\;0)$$(0,\;1)$$(1,\;\...
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GATE IN 2013 | Question: 61
Find the sum to $n$ terms of the series $10+84+734+….$$\frac{9(9^n+1)}{10}+1$$\frac{9(9^n-1)}{8}+1$$\frac{9(9^n-1)}{8}+n$$\frac{9(9^n-1)}{8}+n^2$
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GATE IN 2013 | Question: 60
In the summer of $2012$, in New Delhi, the mean temperature of Monday to Wednesday was $41^\circ\text{C}$ and of Tuesday to Thursday was $43^\circ\text{C}$. If the temper...
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GATE IN 2012 | Question: 65
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balanc...
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GATE IN 2012 | Question: 64
The data given in the following table summarizes the monthly budget of an average household.$$\begin{array}{|l|c|}\hline \textbf{Category} & \textbf{Amount (Rs.)} \\\hlin...
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