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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

21 votes
3 answers
1
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.
asked Feb 11, 2015 in Quantitative Aptitude makhdoom ghaya 7.7k views
0 votes
2 answers
2
What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly? Is $5000*(1+4/100)^{1.5} - 5000$ wrong for calculating CI yearly?
asked Dec 27, 2016 in Quantitative Aptitude thor 355 views
9 votes
2 answers
3
What are the last two digits of $1! + 2! + \dots +100!$? $00$ $13$ $30$ $33$ $73$
asked Dec 18, 2018 in Quantitative Aptitude Arjun 545 views
1 vote
2 answers
4
If two real polynomials $f(x)$ and $g(x)$ of degrees $m\: (\geq 2)$ and $n\: (\geq 1)$ respectively, satisfy $f(x^2+1)=f(x)g(x),$ for every $x \in \mathbb{R}$, then $f$ has exactly one real root $x_0$ such that $f’(x_0) \neq 0$ $f$ has exactly one real root $x_0$ such that $f’(x_0) = 0$ $f$ has $m$ distinct real roots $f$ has no real root
asked Sep 23, 2019 in Quantitative Aptitude Arjun 232 views
0 votes
2 answers
5
$58$ lamps are to be connected to a single electric outlet by using an extension board each of which has four outlets. The number of extension boards needed to connect all the light is $28$ $29$ $20$ $19$
asked Jul 12, 2016 in Quantitative Aptitude jothee 2.1k views
1 vote
2 answers
6
Let $S=\{0, 1, 2, \cdots 25\}$ and $T=\{n \in S: n^2+3n+2$ is divisible by $6\}$. Then the number of elements in the set $T$ is $16$ $17$ $18$ $10$
asked Sep 18, 2019 in Quantitative Aptitude gatecse 141 views
1 vote
1 answer
7
Let $0.01^x+0.25^x=0.7$ . Then $x\geq1$ $0\lt x\lt1$ $x\leq0$ no such real number $x$ is possible.
asked Sep 18, 2019 in Quantitative Aptitude gatecse 140 views
1 vote
1 answer
8
If one root of a quadratic equation $ax^{2}+bx+c=0$ be equal to the n th power of the other, then $(ac)^{\frac{n}{n+1}}+b=0$ $(ac)^{\frac{n+1}{n}}+b=0$ $(ac^{n})^{\frac{1}{n+1}}+(a^{n}c)^{\frac{1}{n+1}}+b=0$ $(ac^\frac{1}{n+1})^{n}+(a^\frac{1}{n+1}c)^{n+1}+b=0$
asked Sep 18, 2019 in Quantitative Aptitude gatecse 107 views
0 votes
1 answer
9
In a certain town, $20\%$ families own a car, $90\%$ own a phone, $5 \%$ own neither a car nor a phone and $30, 000$ families own both a car and a phone. Consider the following statements in this regard: $10 \%$ families own both a car and a phone. $95 \%$ families own either a ... (i) & (iii) are correct and (ii) is wrong. (ii) & (iii) are correct and (i) is wrong. (i), (ii) & (iii) are correct.
asked Sep 18, 2019 in Quantitative Aptitude gatecse 135 views
11 votes
2 answers
10
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p–1) = 0$ are of opposite sign is $(–∞, 0)$ $(0, 1)$ $(1, ∞)$ $(0, ∞)$
asked Feb 16, 2016 in Quantitative Aptitude Akash Kanase 2k views
6 votes
2 answers
11
Three of the five students are allocated to a hostel put in special requests to the warden, Given the floor plan of the vacant rooms, select the allocation plan that will accommodate all their requests. Request by X: Due to pollen allergy, I want to avoid a wing next to ... by Z: I believe in Vaastu and so I want to stay in South-West wing. The shaded rooms are already occupied. WR is washroom
asked Feb 7, 2019 in Quantitative Aptitude Arjun 2.7k views
0 votes
1 answer
12
If the co-efficient of $p^{th}, (p+1)^{th}$ and $(p+2)^{th}$ terms in the expansion of $(1+x)^n$ are in Arithmetic Progression (A.P.), then which one of the following is true? $n^2+4(4p+1)+4p^2-2=0$ $n^2+4(4p+1)+4p^2+2=0$ $(n-2p)^2=n+2$ $(n+2p)^2=n+2$
asked Sep 18, 2019 in Quantitative Aptitude gatecse 169 views
0 votes
1 answer
13
Let $p,q,r,s$ be real numbers such that $pr=2(q+s).$ Consider the equations $x^{2}+px+q=0$ and $x^{2}+rx+s=0.$ Then at least one of the equations has real roots. both these equations have real roots. neither of these equations have real roots. given data is not sufficient to arrive at any conclusion.
asked Sep 18, 2019 in Quantitative Aptitude gatecse 69 views
0 votes
1 answer
14
$\sum_{n=1}^{\infty}\frac{1}{n(n+1)}$ is $2$ $1$ $\infty$ not a convergent series
asked Sep 18, 2019 in Quantitative Aptitude gatecse 66 views
5 votes
6 answers
15
Three friends, $R, S$ and $T$ shared toffee from a bowl. $R$ took $\frac{1}{3}^{\text{rd}}$ of the toffees, but returned four to the bowl. $S$ took $\frac{1}{4}^{\text{th}}$ of what was left but returned three toffees to the bowl. $T$ took half of the ... but returned two back into the bowl. If the bowl had $17$ toffees left, how may toffees were originally there in the bowl? $38$ $31$ $48$ $41$
asked May 14, 2019 in Quantitative Aptitude Lakshman Patel RJIT 2.9k views
2 votes
2 answers
16
The digit in the unit place of the number $7^{78}$ is $1$ $3$ $7$ $9$
asked Sep 18, 2019 in Quantitative Aptitude gatecse 191 views
10 votes
3 answers
17
If $\mid -2X+9\mid =3$ then the possible value of $\mid -X\mid -X^2$ would be: $30$ $-30$ $-42$ $42$
asked Feb 16, 2016 in Quantitative Aptitude Akash Kanase 1.2k views
2 votes
5 answers
18
Consider five people- Mita, Ganga, Rekha, Lakshmi, and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true? Lakshmi is taller than Rekha Rekha is shorter than Mita Rekha is taller than Sana Sana is shorter than Ganga $1$ and $3$ $3$ only $2$ and $4$ $1$ only
asked Feb 12, 2019 in Quantitative Aptitude Arjun 489 views
1 vote
2 answers
19
The conditions on $a$, $b$ and $c$ under which the roots of the quadratic equation $ax^2+bx+c=0 \: ,a \neq 0, \: b \neq 0 $ and $c \neq 0$, are unequal magnitude but of the opposite signs, are the following: $a$ and $c$ have the same sign while $b$ has the opposite sign ... $b$ have the same sign while $c$ has the opposite sign. $a$ and $c$ have the same sign. $a$, $b$ and $c$ have the same sign.
asked Sep 23, 2019 in Quantitative Aptitude Arjun 157 views
1 vote
2 answers
20
Let $S=\{6,10,7,13,5,12,8,11,9\},$ and $a=\sum_{x\in S}(x-9)^{2}\:\&\: b=\sum_{x\in S}(x-10)^{2}.$ Then $a<b$ $a>b$ $a=b$ None of these
asked Sep 18, 2019 in Quantitative Aptitude gatecse 126 views
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