Recent questions and answers in Numerical Ability

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GATE ECE 2020 | GA Question: 5
A superadditive function $f(\cdot)$ satisfies the following property $f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$ Which of the following functions is a superadditive function for $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$

answered Apr 10 in Numerical Ability by Lakshman Patel RJIT (3.8k points) | 270 views

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2

GATE ECE 2020 | GA Question: 10
The following figure shows the data of students enrolled in $5$ years $(2014\;\text{to}\; 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average number of the students enrolled in school $P$ to the average of the difference of the number of students enrolled in schools $P$ and $Q$ is _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$

answered Mar 31 in Numerical Ability by Lakshman Patel RJIT (3.8k points) | 498 views

+1 vote

1 answer

3

GATE EC 2021 | GA Question: 10
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is $2:3$ $3:4$ $4:5$ $5:6$

answered Mar 22 in Numerical Ability by Lakshman Patel RJIT (3.8k points) | 57 views

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1 answer

4

GATE EC 2021 | GA Question: 9
The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above. The number of days in the given week in which one of the students spent a minimum of $10\%$ more than the other student, on a given day, is $4$ $5$ $6$ $7$

answered Mar 22 in Numerical Ability by Lakshman Patel RJIT (3.8k points) | 64 views

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1 answer

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GATE EC 2021 | GA Question: 8
Consider a square sheet of side $1$ unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step. one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in cubic units, is ____________ $\frac{\pi }{3}$ $\frac{2\pi }{3}$ $\frac{3\pi }{2}$ $3\pi$

answered Mar 22 in Numerical Ability by Lakshman Patel RJIT (3.8k points) | 81 views

+2 votes

1 answer

6

GATE EC 2021 | GA Question: 1
The current population of a city is $11,02,500$ . If it has been increasing at the rate of $5\%$ per annum, what was its population $2$ years ago? $9,92,500$ $9,95,006$ $10,00,000$ $12,51,506$

answered Mar 22 in Numerical Ability by Lakshman Patel RJIT (3.8k points) | 49 views

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GATE EC 2021 | GA Question: 2
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$ $3$ $7$ $9$ $11$

answered Mar 22 in Numerical Ability by Lakshman Patel RJIT (3.8k points) | 45 views

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8

GATE ECE 2019 | GA Question: 9
Two design consultants, $P$ and $Q,$ started working from $8$ AM for a client. The client budgeted a total of USD $3000$ for the consultants. $P$ stopped working when the hour hand moved by $210$ degrees on the clock. $Q$ stopped working when ... paying the consultants, the client shall have USD _______ remaining in the budget. $000.00$ $166.67$ $300.00$ $433.33$

answered Aug 12, 2020 in Numerical Ability by haralk10 (960 points) | 81 views

+1 vote

1 answer

9

GATE ECE 2020 | GA Question: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$

answered Aug 11, 2020 in Numerical Ability by haralk10 (960 points) | 140 views

+1 vote

1 answer

10

GATE ECE 2020 | GA Question: 8
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of the shaded portion is _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$

answered Aug 11, 2020 in Numerical Ability by haralk10 (960 points) | 814 views

+1 vote

1 answer

11

GATE ECE 2020 | GA Question: 7
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$

answered May 10, 2020 in Numerical Ability by Madhav (1.4k points) | 155 views

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1 answer

12

GATE ECE 2017 Set 2 | GA Question: 9
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is $781$ $791$ $881$ $891$

answered Oct 12, 2019 in Numerical Ability by suraj20041995 (190 points) | 147 views

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2 answers

13

GATE ECE 2019 | GA Question: 4
Five different books $(P, Q, R, S, T)$ are to be arranged on a shelf. The books $R$ and $S$ are to be arranged first and second, respectively from the right side of the shelf. The number of different orders in which $P, Q$ and $T$ may be arranged is ______. $2$ $6$ $12$ $120$

answered Oct 12, 2019 in Numerical Ability by maha_m (140 points) | 92 views

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1 answer

14

GATE ECE 2019 | GA Question: 3
It would take one machine $4$ hours to complete a production order and another machine $2$ hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ________ hours. $2/3$ $3/4$ $4/3$ $7/3$

answered Jul 23, 2019 in Numerical Ability by Debdeep1998 (180 points) | 76 views

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1 answer

15

GATE ECE 2017 Set 1 | GA Question: 10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot. The path from $P$ to $Q$ is best described by Up-Down-Up-Down Down-Up-Down-Up Down-Up-Down Up-Down-Up

answered Jul 23, 2019 in Numerical Ability by Debdeep1998 (180 points) | 69 views

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GATE ECE 2019 | GA Question: 7
The bar graph in panel (a) shows the proportion of male and female illiterates in $2001$ and $2011.$ The proportions of males and females in $2001$ and $2011$ are given in Panel (b) and (c), respectively. The total population did not change during this period. ... in the total number of literates from $2001$ to $2011$ is ______. $30.43$ $33.43$ $34.43$ $35.43$

asked Feb 12, 2019 in Numerical Ability by Arjun (4.4k points) | 149 views

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17

GATE ECE 2016 Set 3 | 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 $120$ m and that of the second train is $150$ m. The magnitude of the difference in the speeds of the two trains (in m/s) is _________ $2.0$ $10.0$ $12.0$ $22.0$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 25 views

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GATE ECE 2016 Set 3 | 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 the odometer reading increase by (in m)? $0$ $3$ $4$ $5$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 20 views

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19

GATE ECE 2016 Set 3 | GA Question: 9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 30 views

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20

GATE ECE 2016 Set 3 | 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 $x=5$ from the fit? $-0.030$ $-0.014$ $0.014$ $0.030$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 26 views

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21

GATE ECE 2016 Set 2 | GA Question: 5
$S$, $M$, $E$ and $F$ are working in the shifts in a team to finish a project. $M$ works with twice the efficiency of others but for half as many days as $E$ worked. $S$ amd $M$ have $6$ hour shifts in a day, whereas $E$ and $F$ have $12$ hours shifts. What is the ratio of contribution of $M$ to contribute of $E$ in the project? $1:1$ $1:2$ $1:4$ $2:1$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 8 views

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22

GATE ECE 2016 Set 2 | GA Question: 6
The Venn diagram shows the preference of the students population for leisure activities. From the data given, the number of students who like to read books or play sports is _____. $44$ $51$ $79$ $108$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 11 views

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23

GATE ECE 2016 Set 2 | GA Question: 8
Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without umber markings seemed to show $1.30$. What is the actual current time shown by the clock? $8.15$ $11.15$ $12.15$ $12.45$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 16 views

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24

GATE ECE 2016 Set 2 | GA Question: 9
$M$ and $N$ start from the same location. $M$ travels $10$ km east ad then $10$ km North-East. $N$ travels $5$ km South and then $4$ km South-East. What is the shortest distance (in km) between $M$ and $N$ at the end of their travel? $18.60$ $22.50$ $20.61$ $25.00$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 8 views

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25

GATE ECE 2016 Set 2 | GA Question: 10
A wire of length $340$ mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$. What is the length of the square (in mm) such that the combined area of the square and the rectagle is a $\textbf{MINIMUM?}$ $30$ $40$ $120$ $180$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 10 views

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26

GATE ECE 2016 Set 1 | GA Question: 4
In a huge pile of apples and oranges, both ripe and unripe mixed together,$15\%$ are unripe fruits. Of the unripe fruits, $45 \%$ are apples. Of the ripe ones, $66 \%$ are oranges. If the pile contains a total of $5692000$ fruits, how many of them are apples? $2029198$ $2467482$ $2789080$ $3577422$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 8 views

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27

GATE ECE 2016 Set 1 | GA Question: 5
Michael lives $10$ km away from where I live. Ahmed lives $5$ km away and Susan lives $7$ km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place? $3.00$ $4.99$ $6.02$ $7.01$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 16 views

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28

GATE ECE 2016 Set 1 | GA Question: 6
A person moving through a tuberculosis prone zone has a $50 \%$ probability of becoming infected. However, only $30 \%$ of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease? $15$ $33$ $35$ $37$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 12 views

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29

GATE ECE 2016 Set 1 | GA Question: 9
If $q^{-a} = \frac{1}{r}$ and $r^{-b}=\frac{1}{s}$ and $s^{-c} = \frac{1}{q}$ ,the value of $abc$ is______. $(rqs)^{-1}$ $0$ $1$ $r+q+s$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 15 views

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30

GATE ECE 2016 Set 1 | GA Question: 10
P, Q, R and S are working on a project. Q can finish the task in $25$ days, working alone for $12$ hours a day. R can finish the task in $50$ days, working alone for $12$ hours per day. Q worked $12$ hours a day but took sick leave in the beginning ... ratio of work done by Q and R after $7$ days from the start of the project? $10:11$ $11: 10$ $20:21$ $21:20$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 67 views

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31

GATE ECE 2015 Set 3 | GA Question: 5
If $x>y>1,$ which of the following must be true? $\text{ln } x > \text{ln }y$ $e^{x}>e^{y}$ $y^{x}>x^{y}$ $\cos x> \cos y$ $(i)$ and $(ii)$ $(i)$ and $(iii)$ $(iii)$ and $(iv)$ $(ii)$ and $(iv)$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 14 views

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32

GATE ECE 2015 Set 3 | GA Question: 8
From a circular sheet of paper of radius $30$ cm, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is ________.

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 19 views

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33

GATE ECE 2015 Set 3 | GA Question: 9
$\log \tan1^{\circ}+ \log \tan2^{\circ}+ \dots + \log \tan89^{\circ}$ is $1$ $\frac{1}{\sqrt{2}}$ $0$ $-1$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 16 views

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34

GATE ECE 2015 Set 2 | GA Question: 4
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches $M, N, O,$ and $P,$ in that order. ... $km$ is minimum is M N O P

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 22 views

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35

GATE ECE 2015 Set 2 | GA Question: 5
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $1/6$ and that of Ramesh is $1/8$. What is the probability that only one of them will be selected? $47/48$ $1/4$ $13/48$ $35/48$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 17 views

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36

GATE ECE 2015 Set 2 | GA Question: 8
A tiger is $50$ leaps of its own behind a tree. The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer cover $8$ meter and $5$ meter per leap respectively, what distance in meters will the tiger have to run before it catches the deer?

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 29 views

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37

GATE ECE 2015 Set 2 | GA Question: 9
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 14 views

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38

GATE ECE 2015 Set 1 | GA Question: 5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 19 views

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39

GATE ECE 2015 Set 1 | GA Question: 8
Fill in the missing value

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 20 views

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40

GATE ECE 2015 Set 1 | GA Question: 9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible. $1:4$ $1:3$ $1:2$ $2:3$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.8k points) | 18 views