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Syllabus: Numerical computation, Numerical estimation, Numerical reasoning and data interpretation

$$\small{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline \textbf{Year}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum} \\\hline\textbf{1 Mark Count}&2&3&2&3&1&2&1&2.2&3 \\\hline\textbf{2 Marks Count}&3&4&4&4&3&3&3&3.5&4 \\\hline\textbf{Total Marks}&8&11&10&11&7&8&\bf{7}&\bf{9.2}&\bf{11}\\\hline \end{array}}}$$

# Most viewed questions in Quantitative Aptitude

1
Given digits$2, 2, 3, 3, 3, 4, 4, 4, 4$ how many distinct $4$ digit numbers greater than $3000$ can be formed? $50$ $51$ $52$ $54$
2
$A$ 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 $1/4$ $1/16$ $7/16$ $9/16$
3
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 $10000 \ \text{cycles}$ for failure.The load for which the failure will happen in $5000 \ \text{cycles}$ is _____________. $40.00$ $46.02$ $60.01$ $92.02$
4
The probabilities that a student passes in mathematics, physics and chemistry are $m,p$ and $c$ respectively. Of these subjects, the student has $75\%$ chance of passing in at least one, a $50\%$ chance of passing in at least two and a $40\%$ chance of passing in exactly ... Only relation I is true. Only relation II is true. Relations II and III are true. Relations I and III are true.
5
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5,5]$ is $0$ $1$ $2$ $3$
6
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 ________. $56$ $64$ $72$ $96$
7
A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment? Three green faces and four red faces. Four green faces and three red faces. Five green faces and two red faces. Six green faces and one red face
8
19, 23, 14, 30, 5, ?
1 vote
9
How much percent more than the cost price should a shopkeeper mark his goods, so that after allowing a discount of $12.5%$ he should have a gain of $5%$ on his outlay?
10
ODD MAN OUT:- PS3 MQ2 RV2 DM3 whats the catch! iam not getting it! pls help
11
Four branches of a company are located at $M$, $N$, $O$ and $P$. $M$ is north of $N$ at a distance of $4 km$; $P$ is south of $O$ at a distance of $2$ $km$; $N$ is southeast of O by $1 km$. What is the distance between $M$ and $P$ in $km$? $5.34$ $6.74$ $28.5$ $45.49$
12
In a triangle $PQR, PS$ is the angle bisector of $\angle QPR \text{ and } \angle QPS =60^\circ$. What is the length of $PS$ ? $\left(\dfrac{(q+r)} {qr}\right)$ $\left(\dfrac {qr} {q+r}\right)$ $\large \sqrt {(q^2 + r^2)}$ $\left(\dfrac{(q+r)^2} {qr}\right)$
13
$X$ 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
14
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 ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes? $21$ $18$ $16$ $14$
15
In the figure below, $\angle DEC + \angle BFC$ is equal to _____ $\angle BCD - \angle BAD$ $\angle BAD + \angle BCF$ $\angle BAD + \angle BCD$ $\angle CBA + \angle ADC$
16
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 $\dfrac{1}{5}$ $\dfrac{7}{30}$ $\dfrac{1}{4}$ $\dfrac{4}{15}$
17
Hari(H), Gita(G), Irfan(I) and Saira(S) are siblings (i.e., brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than three years. Given the following facts: Hari's age + Gita ... and Saira is not the youngest. There are no twins. In what order they were born (oldest first)? $HSIG$ $SGHI$ $IGSH$ $IHSG$
What is the sum to infinity of the series, $3+6x^{2}+9x^{4}+12x^{6}+ \dots$ given $\left | x \right |<1$ $\frac{3}{(1+x^{2})}$ $\frac{3}{(1+x^{2})^{2}}$ $\frac{3}{(1-x^{2})^{2}}$ $\frac{3}{(1-x^{2})}$
In a college, there are three student clubs, $60$ students are only in the Drama club, $80$ students are only in the Dance club, $30$ students are only in Maths club, $40$ students are in both Drama and Dance clubs, $12$ ... the college are not in any of these clubs, then the total number of students in the college is _____. $1000$ $975$ $900$ $225$
At what time between $6$ a. m. and $7$ a. m. will the minute hand and hour hand of a clock make an angle closest to $60°$? $6: 22$ a.m. $6: 27$ a.m. $6: 38$ a.m. $6: 45$ a.m.