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Recent questions and answers in Numerical Ability
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GATE2010 Aptitude Set 3  GA5
Consider the function $f(x)=\max(7x,x+3).$ In which range does $f$ take its minimum value$?$ $6\leq x<2$ $2\leq x<2$ $2\leq x<6$ $6\leq x<10$
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4
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GATE2018GA10
A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment? Three green faces and four red faces. Four green faces and three red faces. Five green faces and two red faces. Six green faces and one red face
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TIFR2019B14
Let $m$ and $n$ be two positive integers. Which of the following is NOT always true? If $m$ and $n$ are coprime, there exist integers $a$ and $b$ such that $am + bn=1$ $m^{n1} \equiv 1 (\text{ mod } n)$ ... $m+1$ is a factor of $m^{n(n+1)}1$ If $2^n 1$ is prime, then $n$ is prime
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TIFR2011A13
If $z=\dfrac{\sqrt{3}i}{2}$ and $\large(z^{95}+ i^{67})^{97}= z^{n}$, then the smallest value of $n$ is? $1$ $10$ $11$ $12$ None of the above.
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GATE2016 Aptitude Set 1: GA6
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? $15$ $33$ $35$ $37$
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gate2016aptiset1
numericalability
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6
TIFR2014A13
Let $L$ be a line on the two dimensional plane. $L'$s intercepts with the $X$ and $Y$ axes are respectively $a$ and $b$. After rotating the coordinate system (and leaving $L$ untouched), the new intercepts are $a'$ and $b'$ ... $\frac{b}{a}+\frac{a}{b}=\frac{b'}{a'}+\frac{a'}{b'}$. None of the above.
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tifr2014
geometry
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7
GATE2010 Aptitude Set 2  GA9
A positive integer $m$ in base $10$ when represented in base $2$ has the representation $p$ and in base $3$ has the representation $q.$ We get $pq=990$ where the subtraction is done in base $10.$ Which of the following is necessarily true$:$ $m\geq 14$ $9\leq m\leq 13$ $6\leq m\leq 8$ $m<6$
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Jun 8
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GATE2012 Aptitude Set 1: GA8
If a prime number on division by $4$ gives a remainder of $1,$ then that number can be expressed as sum of squares of two natural numbers sum of cubes of two natural numbers sum of square roots of two natural numbers sum of cube roots of two natural numbers
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Jun 8
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gate2012aptiset1
numbertheory
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GATE2017 CE2: GA9
Budhan covers a distance of $19$ km in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the time and walks the rest (at the same speed as before) and covers $26$ km in $2$ hours. The speed in km/h at which Budhan walk is $1$ $4$ $5$ $6$
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Jun 7
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gate2017ce2
speedtimedistance
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10
GATE2019 CE1: GA7
In a sports academy of $300$ peoples, $105$ play only cricket, $70$ play only hockey, $50$ play only football, $25$ play both cricket and hockey, $15$ play both hockey and football and $30$ play both cricket and football. The rest of them play all three sports. What is the percentage of people who play at least two sports? $23.30$ $25.00$ $28.00$ $50.00$
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Jun 6
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generalaptitude
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11
GATE2015 Aptitude Set 1: GA5
If $\log_{x}{(\frac{5}{7})}=\frac{1}{3},$ then the value of $x$ is $343/125$ $25/343$ $25/49$ $49/25$
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Jun 5
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GATE2016 Aptitude Set 4: GA5
It takes $10$ s and $15$ s, respectively, for two trains travelling at 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 ____________. $2.0$ $10.0$ $12.0$ $22.0$
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Jun 5
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gate2016aptiset4
speedtimedistance
numericalability
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13
Self doubt in percentage
In Medical certificate, by mistake a candidate gave his height as 25% more than normal. In the interview panel,he clarified his height was 5 feet 5inches. Find the percentage correction made by the candidate from his stated height to his actual height. 20 28.56 25 None of these
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Jun 5
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Satbir
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0
votes
1
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14
Self doubt on probability
An element is to be inserted in an array and the probability that it has been entered correctly is 0.9. Find the probability that the sorting algorithm worked correctly. How to solve this type of questions?
answered
Jun 5
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15
GATE2011 Aptitude Set 3  GA9
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below. The distances covered during four laps of the journey are listed in the table below ... given data, we can conclude that the fuel consumed per kilometre was least during the lap $P$ $Q$ $R$ $S$
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Jun 5
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Arjun
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GATE2017 ME1: GA10
The growth of bacteria (lactobacillus) in milk leads to curd formation. A minimum bacterial population density of $0.8$ (in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in $1$ litre of milk is plotted as a ... $37^{\circ}$C Which one of the following options is correct? Only i Only ii Both i and ii Neither i nor ii
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Jun 5
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Arjun
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gate2017me1
generalaptitude
numericalability
datainterpretation
graphicaldata
0
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1
answer
17
GATE2017 ME1: GA8
Let $S_1$ be the plane figure consisting of the points $(x, y)$ given by the inequalities $\mid x  1 \mid \leq 2$ and $\mid y+2 \mid \leq 3$. Let $S_2$ be the plane figure given by the inequalities $xy \geq 2, \: y \geq 1$, and $x \leq 3$. Let $S$ be the union of $S_1$ and $S_2$. The area of $S$ is. $26$ $28$ $32$ $34$
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Jun 5
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gate2017me1
generalaptitude
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geometry
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1
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18
GATE2017 ME1: GA3
A rightangled cone (with base radius $5$ cm and height $12$ cm), as shown in the figure below, is rolled on the ground keeping the point $P$ fixed until the point $Q$ (at the base of the cone, as shown) touches the ground again. By what angle (in radians) about $P$ does the cone travel? $\frac{5\pi}{12}$ $\frac{5\pi}{24}$ $\frac{24\pi}{5}$ $\frac{10\pi}{13}$
answered
Jun 5
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generalaptitude
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geometry
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19
GATE2017 ME1: GA7
What is the sum of the missing digits in the subtraction problem below? $\begin{array}{cccccc} &5&\_&\_&\_&\_&\\ &4&8&\_&8&9\\ \rlap{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}\\ &&1&1&1&1 \end{array}$ $8$ $10$ $11$ Cannot be determined.
answered
Jun 5
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ajaysoni1924
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gate2017me1
generalaptitude
numericalability
numericalcomputation
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2
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20
GATE2019 ME1: GA9
A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skills levels of total employment in $2010$ is given in the pie chart as shown. There were a total of $600$ employees in $2010$ ... $2010$ to $2016$, how many employees were there at skill level T in $2016$? $30$ $35$ $60$ $72$
answered
Jun 5
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Numerical Ability
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Arjun
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45
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gate2019me1
generalaptitude
numericalability
datainterpretation
+4
votes
1
answer
21
GATE2016 Aptitude Set 4: GA9
Find the area bounded by the lines $3x + 2y=14, 2x  3y = 5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$
answered
Jun 5
in
Numerical Ability
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Lakshman Patel RJIT
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277
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gate2016aptiset4
coordinategeometry
geometry
normal
+1
vote
1
answer
22
GATE2019 ME1: GA7
A person divided an amount of Rs. $100,000$ into two parts and invested in two different schemes. In one he got $10 \%$ profit and in the other he got $12 \%$. If the profit percentages are interchanged with these investments he would have got Rs. $120$ less. Find the ratio between his investments in the two schemes. $9:16$ $11:14$ $37:63$ $47:53$
answered
Jun 5
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Numerical Ability
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Arjun
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52
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gate2019me1
generalaptitude
numericalability
ratioproportion
profitloss
0
votes
1
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23
GATE2019 EC: GA10
Five people $P,Q,R,S$ and $T$ work in a bank. $P$ and $Q$ don't like each other but have to share an office till $T$ gets a promotion and moves to the big office next to the garden. $R,$ who is currently sharing an office with $T$ wants to move to ... with $S,$ the handsome new intern. Given the floor plan, what is the current location of $Q, R$ and $T?$ (O=Office, WR=Washroom)
answered
Jun 5
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Numerical Ability
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Arjun
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gate2019ec
generalaptitude
datainterpretation
0
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1
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24
GATE2019 EC: GA7
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 ______. $30.43$ $33.43$ $34.43$ $35.43$
answered
Jun 5
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Arjun
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gate2019ec
generalaptitude
numericalability
datainterpretation
bargraph
+1
vote
2
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25
GATE2010 Aptitude Set 2  GA6
The ban on smoking in designated public places can save a large number of people from the wellknown effects of environmental tobacco smoke. Passive smoking seriously impairs respiratory health. The ban rightly seeks to protect nonsmokers from its ... the nonsmokers. Passive smoking is bad for health. The ban on smoking in public places excludes passive smoking.
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Jun 5
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generalaptitude
verbalability
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vote
3
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26
GATE2014EC01GA7
For submitting tax returns, all resident males with annual income below Rs $10$ lakh should fill up Form $P$ and all resident females with income below Rs $8$ lakh should fill up Form $Q$. All people with incomes above Rs $10$ ... income Rs $9$ lakh A nonresident male with annual income Rs $16$ lakh A nonresident female with annual income Rs $16$ lakh
answered
Jun 4
in
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Arjun
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gate2014ec01
numericalability
passagereading
normal
0
votes
1
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27
GATE2018 CE2: GA10
Each of the letters in the figure below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that each of $(A+B+C), (C+D+E), (E+F+G)$ and $(G+H+K)$ is equal to $13$. Which integer does $E$ represent? $1$ $4$ $6$ $7$
answered
Jun 4
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Arjun
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gate2018ce2
generalaptitude
numericalability
numericalcomputation
0
votes
1
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28
GATE2019 CE2: GA9
An oil tank can be filled by pipe $X$ in $5$ hours and pipe $Y$ in $4$ hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in $20$ hours. If initially the tank was empty and someone started the two ... for the tank to be filled? (Assume that the rate of drainage is independent of the Head) $1.50$ $2.00$ $2.50$ $4.00$
answered
Jun 4
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Naveen Kumar 3
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gate2019ce2
generalaptitude
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worktime
0
votes
1
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29
GATE2018 CE2: GA8
The annual average rainfall in a tropical city is $1000$ mm. On a particular rainy day ($24$hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the $24$hour period, $50$% of the rainfall falling on a rooftop, which had an ... a tank. What is the total volume of water collected in the tank liters? $25,000$ $18, 750$ $7,500$ $3.125$
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Jun 4
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gate2018ce2
generalaptitude
numericalability
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graphicaldata
0
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1
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30
GATE2018 CE2: GA7
A faulty wall clock is known to gain $15$ minutes every $24$ hours. It is synchronized to the correct time at $9$ AM on $11$th July. What will be the correct time to the nearest minute when the clock shows $2$ PM on $15$th July of the same year? $12:45$ PM $12:58$ PM $1:00$ PM $2:00$ PM
answered
Jun 4
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Naveen Kumar 3
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gate2018ce2
generalaptitude
numericalability
clocktime
normal
0
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1
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31
GATE2018 CE2: GA6
In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. $4900$ for a deviation of $7$ units, what would be the loss in Rupees for a deviation of $4$ units from the target? $400$ $1200$ $1600$ $2800$
answered
Jun 4
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Arjun
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405k
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gate2018ce2
generalaptitude
numericalability
ratioproportions
0
votes
1
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32
GATE2017 CE1: GA10
The bar graph below shows the output of five carpenters over one month. each of whom made different items of furniture: chairs,tables, and beds. Consider the following statements. The number of beds made by carpenter $C2$ is exactly the same as the number of tables ... the total number of tables. Which one of the following is true? Only i Only ii Both i and ii Neither i nor ii
answered
Jun 4
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Naveen Kumar 3
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gate2017ce1
generalaptitude
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bargraph
0
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1
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33
GATE2017 CE1: GA9
Two machine $M1$ and $M2$ are able to execute any of four jobs $P,Q,R$ and $S$. The machines can perform one job on one object at a time. Jobs $P,Q,R$ and $S$ take $30$ minutes, $20$ minutes, $60$ minutes and $15$ ... $S$ on $4$ objects. What is the minimum time needed to complete all the jobs? $2$ hours $2.5$ hours $3$ hours $3.5$ hours
answered
Jun 4
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Naveen Kumar 3
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gate2017ce1
generalaptitude
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worktime
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2
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34
GATE2017 ME2: GA10
In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature $10^{\circ} C$) and a month in summer (average temperature $30^{\circ} C$). Consider the following statements ... in the winter month. Which one of the following options is correct? Only i Only ii Both i and ii Neither i nor ii
answered
Jun 4
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Numerical Ability
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Arjun
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405k
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gate2017me2
generalaptitude
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0
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1
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35
Self doubt in percentage and mixtures
In a mixture of 80 litres of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture? (a) 20 litres (b) 15 litres (c) 25 litres (d) None of these
answered
Jun 4
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Numerical Ability
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Arkaprava
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14
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0
votes
1
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36
GATE2017 CE2: GA10
The points in the graph below represent the halts of a lift for a durations of $1$ minute, over a period of $1$ hour. Which of the following statements are correct? The elevator moves directly from any nonground floor to another nonground floor over the ... on the fourth floor for the longest duration over the one hour period. Only i Only ii Both i and ii Neither i nor ii
answered
Jun 4
in
Numerical Ability
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Arjun
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405k
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56
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gate2017ce2
datainterpretation
graphicaldata
0
votes
1
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37
GATE2017 EC1: GA3
In the summer, water consumption is known to decrease overall by $25\%.$ A Water Board official states that in the summer household consumption decreases by $20\%,$ while other consumption increases by $70\%.$ Which of the following statement is correct? ... consumption is $1/17$ The ratio of household to other consumption is $17/8$ There are errors in the official's statement.
answered
Jun 4
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Arjun
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405k
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gate2017ec1
generalaptitude
numericalability
percentage
0
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1
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38
GATE2019 CE1: GA10
$P, Q, R, S$ and $T$ are related and belong to the same family. $P$ is the brother of $S, Q$ is the wife of $P$. $R$ and $T$ are the children of the siblings $P$ and $S$ respectively. Which one of the following statement is necessarily FALSE? $S$ is the aunt of $R$ $S$ is the aunt of $T$ $S$ is the sisterinlaw of $Q$ $S$ is the brother of $P$
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Jun 4
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Lakshman Patel RJIT
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generalaptitude
logicalreasoning
familyrelationships
+1
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1
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39
GATE2017 EC2: GA7
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 following ... inlaw of $R$ $P$ and $R$ are not married to each other $P$ is a son of $X$ and $Y$ $Q$ cannot be married to $R$
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gate2017ec2
generalaptitude
logicalreasoning
familyrelations
0
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1
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40
GATE2019 CE1: GA9
A square has side $5$ cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is _______ cm. $18.50$ $15.10$ $10.00$ $8.50$
answered
Jun 4
in
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Lakshman Patel RJIT
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