Recent questions and answers in Numerical Ability

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GATE2019 EC: GA-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 the hour ... . After paying the consultants, the client shall have USD _______ remaining in the budget. $000.00$ $166.67$ $300.00$ $433.33$

answered Aug 12 in Numerical Ability by haralk10 (260 points)

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GATE2020-EC-GA: 10
The following figure shows the data of students enrolled in $5$ years $(2014 to 2018)$ 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 Aug 11 in Numerical Ability by haralk10 (260 points)

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3

GATE2020-EC-GA: 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 in Numerical Ability by haralk10 (260 points)

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4

GATE2020-EC-GA: 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 in Numerical Ability by haralk10 (260 points)

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5

GATE2020-EC-GA: 1
The untimely loss of life is a cause of serious global concern as thousands of people get killed ____ accidents every year while many other die ____ diseases like cardio vascular disease, cancer, etc. in, of from, of during, from from, from

answered May 10 in Numerical Ability by Madhav (380 points)

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GATE2020-EC-GA: 2
He was not only accused of theft _____ of conspiracy. rather but also but even rather than

answered May 10 in Numerical Ability by Madhav (380 points)

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7

GATE2020-EC-GA: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress

answered May 10 in Numerical Ability by Madhav (380 points)

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8

GATE2020-EC-GA: 4
The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight ... the French ones. the English announcements being longer than the French ones. equal importance being given to English and French.

answered May 10 in Numerical Ability by Madhav (380 points)

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9

GATE2020-EC-GA: 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 May 10 in Numerical Ability by Madhav (380 points)

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10

GATE2020-EC-GA: 6
The global financial crisis in $2008$ is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in $\text{USA}$ in $2007$. The sub-prime lending crisis led to the banking ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.

answered May 10 in Numerical Ability by Madhav (380 points)

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11

GATE2020-EC-GA: 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 in Numerical Ability by Madhav (380 points)

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12

GATE2017 EC-2: GA-7
Each of $P, Q, R, S, W, X, Y$and $Z$ has been married at most once . $X$ and $Y$ are married and have two children $P$ and $Q$. $Z$ is the grandfather of the daughter $S$ of $P$. Further , $Z$ and $W$ are married and are parents of $R$. Which one of the ... mother-in-law of $R$ $P$ and $R$ are not married to each other $P$ is a son of $X$ and $Y$ $Q$ cannot be married to $R$

answered Nov 3, 2019 in Numerical Ability by KUSHAGRA गुप्ता (260 points)

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13

GATE2019 EC: GA-6
Four people are standing in a line facing you. They are Rahul, Mathew, Seema and Lohit. One is an engineer, one is a doctor, one a teacher and another a dancer. You are told that: Mathew is not standing next to Seema There are two people standing ... Seema is turning to her right to speak to the doctor standing next to her Who among them is an engineer? Seema Lohit Rahul Mathew

answered Nov 3, 2019 in Numerical Ability by KUSHAGRA गुप्ता (260 points)

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14

GATE2016-3-GA-3
$M$ has a son $Q$ and a daughter $R.$ He has no other children. $E$ is the mother of $P$ and daughter-in-law of $M.$ How is $P$ related to $M?$ $P$ is the son-in-law of $M$ $P$ is the grandchild of $M$ $P$ is the daughter-in-law of $M$ $P$ is the grandfather of $M$

answered Nov 3, 2019 in Numerical Ability by KUSHAGRA गुप्ता (260 points)

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15

GATE2017 EC-2: GA-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)

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16

GATE2019 EC: GA-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)

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17

GATE2019 EC: GA-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)

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18

GATE2017 EC-1: GA-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)

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19

GATE2019 EC: GA-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. The percentage increase 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 (1.4k points)

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20

GATE2016-3-GA-1
An apple costs Rs.$10$. An onion costs Rs.$8$. Select the most suitable sentence with respect to grammar and usage. The price of an apple is greater than an onion. The price of an apple is more than onion. The price of an apple is greater than that of an onion. Apples are more costlier than onions.

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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21

GATE2016-3-GA-4
The number that least fits this set$:(324,441,97$ and $64)$ is $324$ $441$ $97$ $64$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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22

GATE2016-3-GA-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 (15.7k points)

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23

GATE2016-3-GA-8
A flat is shared by four first-year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat? Manu Sravan Trideep Pavan

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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24

GATE2016-3-GA-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 (15.7k points)

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25

GATE2016-3-GA-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 (15.7k points)

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26

GATE2015-3-GA-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 (15.7k points)

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27

GATE2015-3-GA-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 (15.7k points)

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28

GATE2015-3-GA-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 (15.7k points)

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29

GATE2015-3-GA-10
Ms. $X$ will be in Bagdogra from $01/05/2014$ to $20/05/2014$ and from $22/05/2014$ to $31/05/2014.$ On the morning of $21/05/2014,$ she will reach Kochi via Mumbai. Which one of the statements below is logically valid and can be inferred from the above sentences? Ms. ... day in May. Ms. $X$ will be only in Kochi for one day in May. Only Ms. $X$ will be in Kochi for one day in May.

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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30

GATE2015-2-GA-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. The cumulative ... $km$ is minimum is M N O P

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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31

GATE2015-2-GA-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 (15.7k points)

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32

GATE2015-2-GA-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 (15.7k points)

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33

GATE2015-1-GA-4
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{a-b};\, a\,\Diamond, b=\frac{a+b}{a-b};$ $a\,\rightarrow\, b=ab.$ Find the value of $(66\,\square\, 6)\rightarrow(66\,\Diamond, 6).$ $-2$ $-1$ $1$ $2$

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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34

GATE2015-1-GA-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 (15.7k points)

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35

GATE2015-1-GA-8
Fill in the missing value

asked Mar 28, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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36

GATE2015-1-GA-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 (15.7k points)

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37

GATE2014-4-GA-4
Let $f(x,y)=x^n y^m=P$. If $x$ is doubled and $y$ is halved, the new value of $f$ is $2^{n-m}P$ $2^{m-n}P$ $2(n-m)P$ $2(m-n)P$

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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38

GATE2014-4-GA-5
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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39

GATE2014-4-GA-6
Find the next term in the sequence: $13M, 17Q, 19S$, ___ $21W$ $21V$ $23W$ $23V$

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (15.7k points)

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40

GATE2014-4-GA-8
Industrial consumption of power doubled from $2000$-$2001$ to $2010$-$2011$. Find the annual rate of increase in percent assuming it to be uniform over the years. $5.6$ $7.2$ $10.0$ $12.2$

asked Mar 26, 2018 in Numerical Ability by Milicevic3306 (15.7k points)