Recent questions in General Aptitude

+5 votes

6 answers

1

GATE2020-CS-GA-1
Raman is confident of speaking English _______six months as he has been practising regularly_______the last three weeks during, for for, since for, in within, for

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 1.6k views

+1 vote

6 answers

2

GATE2020-CS-GA-2
His knowledge of the subject was excellent but his classroom performance was_______. extremely poor good desirable praiseworthy

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 1k views

+2 votes

5 answers

3

GATE2020-CS-GA-3
Select the word that fits the analogy: Cook : Cook :: Fly : _______ Flyer Flying Flew Flighter

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 1.4k views

+1 vote

4 answers

4

GATE2020-CS-GA-4
The dawn of the $21$st century witnessed the melting glaciers oscillating between giving too much and too little to billions of people who depend on them for fresh water. The UN climate report estimates that without deep cuts to man-made emissions ... billions of people. Billions of people are responsible foe man-made emissions. Billions of people are affected by melting glaciers.

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 1k views

+2 votes

2 answers

5

GATE2020-CS-GA-5
There are multiple routes to reach from node $1$ to node $2$, as shown in the network. The cost of travel on an edge between two nodes is given in rupees. Nodes a', b', c', d', e', and f' are toll booths. The toll price at toll booths marked a' and e' is Rs. $200$ ... toll booths. Which is the cheapest route from node $1$ to node $2$? $1-a-c-2$ $1-f-b-2$ $1-b-2$ $1-f-e-2$

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 818 views

+6 votes

5 answers

6

GATE2020-CS-GA-6
Goods and Services Tax (GST) is an indirect tax introduced in India in $2017$ that is imposed on the supply of goods and services, and it subsumes all indirect taxes except few. It is a destination-based tax imposed on goods and services used, and it is ... all indirect taxes. GST does not have a component specific to UT. GST is imposed at the point of usage of goods and services.

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 684 views

+2 votes

4 answers

7

GATE2020-CS-GA-7
If $P = 3$, $R = 27$, $T = 243$, then $Q + S =$ ________ $40$ $80$ $90$ $110$

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 1k views

+2 votes

3 answers

8

GATE2020-CS-GA-8
The figure below shows an annular ring with outer and inner as $b$ and $a$, respectively. The annular space has been painted in the form of blue colour circles touching the outer and inner periphery of annular space. If maximum $n$ number of circles can be painted, then the unpainted area available in annular space ... $\pi [(b^{2}-a^{2})+n(b-a)^{2}]$

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 762 views

+2 votes

2 answers

9

GATE2020-CS-GA-9
Two straight lines are drawn perpendicular to each other in $X-Y$ plane. If $\alpha$ and $\beta$ are the acute angles the straight lines make with the $\text{X-}$ axis, then $\alpha + \beta$ is_______. $60^{\circ}$ $90^{\circ}$ $120^{\circ}$ $180^{\circ}$

asked Feb 12 in Numerical Ability by Arjun Veteran (435k points) | 941 views

+3 votes

2 answers

10

GATE2020-CS-GA-10
The total revenue of a company during $2014-2018$ is shown in the bar graph. If the total expenditure of the company in each year is $500$ million rupees, then the aggregate profit or loss (in percentage) on the total expenditure of the company during $2014-2018$ is ___________. $16.67 \%$ profit $16.67 \%$ loss $20 \%$ profit $20 \%$ loss

asked Feb 12 in Verbal Ability by Arjun Veteran (435k points) | 890 views

0 votes

2 answers

11

TIFR2020-A-15
The sequence $s_{0},s_{1},\dots , s_{9}$ is defined as follows: $s_{0} = s_{1} + 1$ $2s_{i} = s_{i-1} + s_{i+1} + 2\:\: \text{for}\: 1 \leq i \leq 8$ $2s_{9} = s_{8} + 2$ What is $s_{0}?$ $81$ $95$ $100$ $121$ $190$

asked Feb 11 in Numerical Ability by Lakshman Patel RJIT Veteran (61.2k points) | 63 views

0 votes

1 answer

12

TIFR2020-A-14
A ball is thrown directly upwards from the ground at a speed of $10\: ms^{-1},$ on a planet where the gravitational acceleration is $10\: ms^{-2}.$ consider the following statements: The ball reaches the ground exactly $2$ seconds after it is thrown up The ball travels ... $3$ is correct None of the Statements $1,2$ or $3$ is correct All of the Statements $1,2$ and $3$ are correct

asked Feb 11 in Numerical Ability by Lakshman Patel RJIT Veteran (61.2k points) | 49 views

0 votes

1 answer

13

TIFR2020-A-9
A contiguous part, i.e., a set of adjacent sheets, is missing from Tharoor's GRE preparation book. The number on the first missing page is $183,$ and it is known that the number on the last missing page has the same three digits, but in a different order. Note that every ... at the front and one at the back. How many pages are missing from Tharoor's book? $45$ $135$ $136$ $198$ $450$

asked Feb 11 in Verbal Ability by Lakshman Patel RJIT Veteran (61.2k points) | 44 views

0 votes

1 answer

14

TIFR2020-A-6
What is the maximum number of regions that the plane $\mathbb{R}^{2}$ can be partitioned into using $10$ lines? $25$ $50$ $55$ $56$ $1024$ Hint: Let $A(n)$ be the maximum number of partitions that can be made by $n$ lines. Observe that $A(0) = 1, A(2) = 2,A(2) = 4$ etc. Come up with a recurrence equation for $A(n).$

asked Feb 10 in Numerical Ability by Lakshman Patel RJIT Veteran (61.2k points) | 30 views

+2 votes

3 answers

15

ISRO2020-55
If $x+2y=30$, then $\left(\dfrac{2y}{5}+\dfrac{x}{3} \right) + \left (\dfrac{x}{5}+\dfrac{2y}{3} \right)$ will be equal to $8$ $16$ $18$ $20$

asked Jan 13 in Numerical Ability by Satbir Boss (25.3k points) | 425 views

+4 votes

3 answers

16

ISI2014-DCG-10
The number of divisors of $6000$, where $1$ and $6000$ are also considered as divisors of $6000$ is $40$ $50$ $60$ $30$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 257 views

+1 vote

1 answer

17

ISI2014-DCG-11
Let $x_1$ and $x_2$ be the roots of the quadratic equation $x^2-3x+a=0$, and $x_3$ and $x_4$ be the roots of the quadratic equation $x^2-12x+b=0$. If $x_1, x_2, x_3$ and $x_4 \: (0 < x_1 < x_2 < x_3 < x_4)$ are in $G.P.,$ then $ab$ equals $64$ $5184$ $-64$ $-5184$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 89 views

+1 vote

2 answers

18

ISI2014-DCG-16
The sum of the series $\dfrac{1}{1.2} + \dfrac{1}{2.3}+ \cdots + \dfrac{1}{n(n+1)} + \cdots $ is $1$ $1/2$ $0$ non-existent

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 134 views

+1 vote

2 answers

19

ISI2014-DCG-22
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 ... $c$ has the opposite sign. $a$ and $c$ have the same sign. $a$, $b$ and $c$ have the same sign.

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 68 views

+1 vote

1 answer

20

ISI2014-DCG-23
The sum of the series $\:3+11+\dots +(8n-5)\:$ is $4n^2-n$ $8n^2+3n$ $4n^2+4n-5$ $4n^2+2$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 97 views

+1 vote

1 answer

21

ISI2014-DCG-26
Let $x_1 > x_2>0$. Then which of the following is true? $\log \big(\frac{x_1+x_2}{2}\big) > \frac{\log x_1+ \log x_2}{2}$ $\log \big(\frac{x_1+x_2}{2}\big) < \frac{\log x_1+ \log x_2}{2}$ There exist $x_1$ and $x_2$ such that $x_1 > x_2 >0$ and $\log \big(\frac{x_1+x_2}{2}\big) = \frac{\log x_1+ \log x_2}{2}$ None of these

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 74 views

+1 vote

1 answer

22

ISI2014-DCG-30
Consider the equation $P(x) =x^3+px^2+qx+r=0$ where $p,q$ and $r$ are all real and positive. State which of the following statements is always correct. All roots of $P(x) = 0$ are real The equation $P(x)=0$ has at least one real root The equation $P(x)=0$ has no negative real root The equation $P(x)=0$ must have one positive and one negative real root

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 58 views

+1 vote

1 answer

23

ISI2014-DCG-36
Consider any integer $I=m^2+n^2$, where $m$ and $n$ are odd integers. Then $I$ is never divisible by $2$ $I$ is never divisible by $4$ $I$ is never divisible by $6$ None of the above

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 53 views

0 votes

1 answer

24

ISI2014-DCG-54
The number of real roots of the equation $1+\cos ^2x+\cos ^3 x – \cos^4x=5$ is equal to $0$ $1$ $3$ $4$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 112 views

0 votes

1 answer

25

ISI2014-DCG-55
If $a,b,c$ are sides of a triangle $ABC$ such that $x^2-2(a+b+c)x+3 \lambda (ab+bc+ca)=0$ has real roots then $\lambda < \frac{4}{3}$ $\lambda > \frac{5}{3}$ $\lambda \in \big( \frac{4}{3}, \frac{5}{3}\big)$ $\lambda \in \big( \frac{1}{3}, \frac{5}{3}\big)$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 45 views

0 votes

1 answer

26

ISI2014-DCG-56
Two opposite vertices of a rectangle are $(1,3)$ and $(5,1)$ while the other two vertices lie on the straight line $y=2x+c$. Then the value of $c$ is $4$ $3$ $-4$ $-3$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 35 views

+1 vote

1 answer

27

ISI2014-DCG-58
Consider a circle with centre at origin and radius $2\sqrt{2}$. A square is inscribed in the circle whose sides are parallel to the $X$ an $Y$ axes. The coordinates of one of the vertices of this square are $(2, -2)$ $(2\sqrt{2},-2)$ $(-2, 2\sqrt{2})$ $(2\sqrt{2}, -2\sqrt{2})$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 46 views

0 votes

1 answer

28

ISI2014-DCG-60
The equation of any circle passing through the origin and with its centre on the $X$-axis is given by $x^2+y^2-2ax=0$ where $a$ must be positive $x^2+y^2-2ax=0$ for any given $a \in \mathbb{R}$ $x^2+y^2-2by=0$ where $b$ must be positive $x^2+y^2-2by=0$ for any given $b \in \mathbb{R}$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 40 views

0 votes

1 answer

29

ISI2014-DCG-61
If $l=1+a+a^2+ \dots$, $m=1+b+b^2+ \dots$, and $n=1+c+c^2+ \dots$, where $\mid a \mid <1, \: \mid b \mid < 1, \: \mid c \mid <1$ and $a,b,c$ are in arithmetic progression, then $l, m, n$ are in arithmetic progression geometric progression harmonic progression none of these

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 96 views

0 votes

1 answer

30

ISI2014-DCG-62
If the sum of the first $n$ terms of an arithmetic progression is $cn^2$, then the sum of squares of these $n$ terms is $\frac{n(4n^2-1)c^2}{6}$ $\frac{n(4n^2+1)c^2}{3}$ $\frac{n(4n^2-1)c^2}{3}$ $\frac{n(4n^2+1)c^2}{6}$

asked Sep 23, 2019 in Numerical Ability by Arjun Veteran (435k points) | 37 views

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