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

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

# Hot questions in Quantitative Aptitude

1
The sum of the series $\:3+11+\dots +(8n-5)\:$ is $4n^2-n$ $8n^2+3n$ $4n^2+4n-5$ $4n^2+2$
1 vote
2
DRAMA= 60 Dance = 30 Math = 12 Drama and dance and math = 2 Dance and drama = 40 Dance and math = 15 Drama and math = 7 75 % of total students not participate in any the club. Total number of students?? A) 900 B) 975 C) 1000 D) 225 (Please correct the data if wrong.)
3
The present ages of three persons in proportions $4:7:9$. Eight years ago, the sum of their ages was $56$. Find their present ages (in years). $8,20,28$ $16,28,36$ $20,35,45$ None of the above options
4
The graph of a cubic polynomial $f(x)$ is shown below. If $k$ is a constant such that $f(x)=k$ has three real solutions, which of the following could be a possible value of $k$? $3$ $0$ $-7$ $-3$
5
The set $\{x \: : \begin{vmatrix} x+\frac{1}{x} \end{vmatrix} \gt6 \}$ equals the set $(0,3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$ $(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqrt{2}, \infty)$ $(- \infty, 3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$ $(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqrt{2},3-2\sqrt{2}) \cup (3+2 \sqrt{2}, \infty )$
6
Given the sequence $A,B,B,C,C,C,D,D,D,D,\ldots$ etc$.,$ that is one $A,$ two $B’s,$ three $C’s,$ four $D’s,$ five $E’s$ and so on, the $240^{th}$ latter in the sequence will be $:$ $V$ $U$ $T$ $W$
1 vote
7
Let $\cos ^6 \theta = a_6 \cos 6 \theta + a_5 \cos 5 \theta + a_4 \cos 4 \theta + a_3 \cos 3 \theta + a_2 \cos 2 \theta + a_1 \cos \theta +a_0$. Then $a_0$ is $0$ $1/32$ $15/32$ $10/32$
8
What is the maximum number of distinct handshakes that can happen in the room with $5$ people in it? $15$ $10$ $6$ $5$
9
Evaluate the sum $S=1+1+\dfrac{3}{2^{2}}+\dfrac{3}{2^{3}}+\dfrac{5}{2^{4}}+\dots$ $1$ $2$ $3$ $4$
10
The percentage profit earned by selling an article for $\text{Rs.}1,920$ is equal to the percentage loss incurred by selling the same article for $\text{Rs.}1,280$. At what price should the article be sold to make $25\%$ profit? $\text{Rs.}2,000$ $\text{Rs.}2,200$ $\text{Rs.}2,400$ Data inadequate
1 vote
11
The number of real roots of the equation $2 \cos \big(\frac{x^2+x}{6}\big)=2^x+2^{-x}$ is $0$ $1$ $2$ $\infty$
12
Ten teams participate in a tournament. Every team plays each of the other teams twice. The total number of matches to be played is $20$ $45$ $60$ $90$
13
ODD MAN OUT:- PS3 MQ2 RV2 DM3 whats the catch! iam not getting it! pls help
1 vote
14
The value of $\dfrac{1}{\log_2 n}+ \dfrac{1}{\log_3 n}+\dfrac{1}{\log_4 n}+ \dots + \dfrac{1}{\log_{2017} n}\:\:($ where $n=2017!)$ is $1$ $2$ $2017$ none of these
15
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
16
The inequality $\mid x^2 -5x+4 \mid > (x^2-5x+4)$ holds if and only if $1 < x < 4$ $x \leq 1$ and $x \geq 4$ $1 \leq x \leq 4$ $x$ takes any value except $1$ and $4$
1 vote
17
The solution of $\log_5(\sqrt{x+5}+\sqrt{x})=1$ is $2$ $4$ $5$ none of these
1 vote
18
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is $781$ $791$ $881$ $891$
19
Suppose there are $n$ positive real numbers such that their sum is 20 and the product is strictly greater than 1. What is the maximum possible value of n? 18 19 20 21
The area of the shaded region in the following figure (all the arcs are circular) is $\pi$ $2 \pi$ $3 \pi$ $\frac{9}{8} \pi$