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Recent questions and answers in Quantitative Aptitude

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Recent questions and answers in Quantitative Aptitude

18 votes
3 answers
1
GATE2016-2-GA-05
In a quadratic function, the value of the product of the roots $(\alpha, \beta)$ is $4$. Find the value of $\dfrac{\alpha^{n}+\beta^{n}}{\alpha^{-n}+\beta^{-n}}$ $n^{4}$ $4^{n}$ $2^{2n-1}$ $4^{n-1}$
In a quadratic function, the value of the product of the roots $(\alpha, \beta)$ is $4$. Find the value of $\dfrac{\alpha^{n}+\beta^{n}}{\alpha^{-n}+\beta^{-n}}$ $n^{4}$ $4^{n}$ $2^{2n-1}$ $4^{n-1}$
answered Jan 16 in Quantitative Aptitude emsugandh 2.6k views
3 votes
2 answers
2
GATE2017 EC-1: GA-9
There are $3$ Indians and $3$ Chinese in a group of $6$ people. How many subgroups of this group can we choose so that every subgroup has at least one Indian? $56$ $52$ $48$ $44$
There are $3$ Indians and $3$ Chinese in a group of $6$ people. How many subgroups of this group can we choose so that every subgroup has at least one Indian? $56$ $52$ $48$ $44$
answered Jan 14 in Quantitative Aptitude Sagar Kamble 419 views
1 vote
2 answers
3
NIELIT Scientific Assistant A 2020 November: 19
What is the total number of ways to reach from $A$ to $B$ in the network given? $12$ $16$ $20$ $22$
What is the total number of ways to reach from $A$ to $B$ in the network given? $12$ $16$ $20$ $22$
answered Jan 14 in Quantitative Aptitude Armaandeep 196 views
6 votes
4 answers
4
GATE2015 EC-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$?$
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$?$
answered Jan 13 in Quantitative Aptitude reboot 2.7k views
0 votes
2 answers
5
UGCNET-Oct2020-II: 8
What is the radix of the numbers if the solution to the quadratic equation $x^2-10x+26=0$ is $x=4$ and $x=7$? $8$ $9$ $10$ $11$
What is the radix of the numbers if the solution to the quadratic equation $x^2-10x+26=0$ is $x=4$ and $x=7$? $8$ $9$ $10$ $11$
answered Jan 6 in Quantitative Aptitude Joey 154 views
5 votes
4 answers
6
GATE2012 AR: GA-5
Ten teams participate in a tournament. Every team plays each of the other teams twice. The total number of matches to be played is $20$ $45$ $60$ $90$
Ten teams participate in a tournament. Every team plays each of the other teams twice. The total number of matches to be played is $20$ $45$ $60$ $90$
answered Dec 10, 2020 in Quantitative Aptitude Amcodes 1.9k views
5 votes
2 answers
7
GATE2016 EC-1: GA-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 for two days ... is the ratio of work done by Q and R after $7$ days from the start of the project? $10:11$ $11:10$ $20:21$ $21:20$
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 $12$ ... . What is the ratio of work done by Q and R after $7$ days from the start of the project? $10:11$ $11:10$ $20:21$ $21:20$
answered Dec 2, 2020 in Quantitative Aptitude vipin.gautam1906 2.3k views
0 votes
2 answers
8
GATE2017 CE-1: GA-9
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
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 $15$ minutes each respectively. There are $10$ objects each ... Job $S$ 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 Nov 27, 2020 in Quantitative Aptitude subbus 493 views
11 votes
6 answers
9
GATE2016 CE-2: GA-10
Ananth takes $6$ hours and Bharath takes $4$ hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace. $1$ $2$ $3$ $4$
Ananth takes $6$ hours and Bharath takes $4$ hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace. $1$ $2$ $3$ $4$
answered Nov 27, 2020 in Quantitative Aptitude subbus 4.8k views
11 votes
5 answers
10
GATE2019-GA-9
In a college, there are three student clubs, $60$ students are only in the Drama club, $80$ students are only in the Dance club, $30$ students are only in Maths club, $40$ students are in both Drama and Dance clubs, $12$ students are in both Dance and Maths ... college are not in any of these clubs, then the total number of students in the college is _____. $1000$ $975$ $900$ $225$
In a college, there are three student clubs, $60$ students are only in the Drama club, $80$ students are only in the Dance club, $30$ students are only in Maths club, $40$ students are in both Drama and Dance clubs, $12$ ... the college are not in any of these clubs, then the total number of students in the college is _____. $1000$ $975$ $900$ $225$
answered Nov 23, 2020 in Quantitative Aptitude StoneHeart 5.4k views
6 votes
2 answers
11
GATE2016-2-GA-04
Pick the odd one from the following options. $CADBE$ $JHKIL$ $XVYWZ$ $ONPMQ$
Pick the odd one from the following options. $CADBE$ $JHKIL$ $XVYWZ$ $ONPMQ$
answered Nov 16, 2020 in Quantitative Aptitude Setika Mehra 1.7k views
1 vote
2 answers
12
GATE2019 IN: GA-9
Two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$
Two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$
answered Nov 15, 2020 in Quantitative Aptitude Setika Mehra 924 views
1 vote
1 answer
13
NIELIT 2018-17
If $2a+3b+c=0$, then at least one root of the equation $ax^2+bx+c=0$, lies in the interval: $(0,1)$ $(1,2)$ $(2,3)$ $(1,3)$
If $2a+3b+c=0$, then at least one root of the equation $ax^2+bx+c=0$, lies in the interval: $(0,1)$ $(1,2)$ $(2,3)$ $(1,3)$
answered Nov 13, 2020 in Quantitative Aptitude rutujwaghare 261 views
10 votes
6 answers
14
GATE2017-2-GA-4
A test has twenty questions worth $100$ marks in total. There are two types of questions. Multiple choice questions are worth $3$ marks each and essay questions are worth $11$ marks each. How many multiple choice questions does the exam have? $12$ $15$ $18$ $19$
A test has twenty questions worth $100$ marks in total. There are two types of questions. Multiple choice questions are worth $3$ marks each and essay questions are worth $11$ marks each. How many multiple choice questions does the exam have? $12$ $15$ $18$ $19$
answered Nov 13, 2020 in Quantitative Aptitude Setika Mehra 2.9k views
1 vote
2 answers
15
GATE2019 IN: GA-4
Five numbers $10,7,5,4$ and $2$ are to be arranged in a sequence from left to right following the directions given below: No two odd or even numbers are next to each other. The second number from the left is exactly half of the left-most number. The middle number is exactly twice the right-most number. Which is the second number from the right? $2$ $4$ $7$ $10$
Five numbers $10,7,5,4$ and $2$ are to be arranged in a sequence from left to right following the directions given below: No two odd or even numbers are next to each other. The second number from the left is exactly half of the left-most number. The middle number is exactly twice the right-most number. Which is the second number from the right? $2$ $4$ $7$ $10$
answered Nov 13, 2020 in Quantitative Aptitude Setika Mehra 1.4k views
16 votes
8 answers
16
GATE2017-2-GA-7
There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labeled. If you are permitted to open just one box and then pull out and inspect only one fruit, ... all three boxes? The box labeled Apples' The box labeled Apples and Oranges' The box labeled Oranges' Cannot be determined
There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labeled. If you are permitted to open just one box and then pull out and inspect only one fruit, which box ... of all three boxes? The box labeled Apples' The box labeled Apples and Oranges' The box labeled Oranges' Cannot be determined
answered Nov 13, 2020 in Quantitative Aptitude Setika Mehra 5.1k views
1 vote
3 answers
17
GATE2018 ME-2: GA-7
A wire would enclose an area of 1936 $m^2$, if it is bent to a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters? 1096 1111 1243 2486
A wire would enclose an area of 1936 $m^2$, if it is bent to a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters? 1096 1111 1243 2486
answered Nov 13, 2020 in Quantitative Aptitude Setika Mehra 1k views
1 vote
2 answers
18
GATE2019 CE-2: GA-3
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the cost carpet is Rs.$50$ sq. mts. how much money (in Rs.) will be spent by Suresh for the carpet now? $Rs.1,65,000$ $Rs.1,92,500$ $Rs.2,75,000$ $Rs.1,27,500$
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the cost carpet is Rs.$50$ sq. mts. how much money (in Rs.) will be spent by Suresh for the carpet now? $Rs.1,65,000$ $Rs.1,92,500$ $Rs.2,75,000$ $Rs.1,27,500$
answered Nov 12, 2020 in Quantitative Aptitude Setika Mehra 412 views
12 votes
6 answers
19
GATE2017-2-GA-3
There are five buildings called $V$, $W$, $X$, $Y$ and $Z$ in a row (not necessarily in that order). $V$ is to the West of $W$. $Z$ is to the East of $X$ and the West of $V$. $W$ is to the West of $Y$. Which is the building in the middle? $V$ $W$ $X$ $Y$
There are five buildings called $V$, $W$, $X$, $Y$ and $Z$ in a row (not necessarily in that order). $V$ is to the West of $W$. $Z$ is to the East of $X$ and the West of $V$. $W$ is to the West of $Y$. Which is the building in the middle? $V$ $W$ $X$ $Y$
answered Nov 12, 2020 in Quantitative Aptitude Setika Mehra 2.3k views
6 votes
8 answers
20
GATE2019-GA-4
Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs. $150$ more. The cost of the gift was Rs. ____ $666$ $3000$ $6000$ $12000$
Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs. $150$ more. The cost of the gift was Rs. ____ $666$ $3000$ $6000$ $12000$
answered Nov 12, 2020 in Quantitative Aptitude Setika Mehra 4.1k views
9 votes
3 answers
21
GATE2014-3-GA-4
Which number does not belong in the series below? $\qquad2, 5, 10, 17, 26, 37, 50, 64$ $17$ $37$ $64$ $26$
Which number does not belong in the series below? $\qquad2, 5, 10, 17, 26, 37, 50, 64$ $17$ $37$ $64$ $26$
answered Nov 6, 2020 in Quantitative Aptitude Setika Mehra 1.3k views
1 vote
3 answers
22
GATE2017 ME-2: GA-3
If $a$ and $b$ are integers and $a-b$ is even, which of the following must always be even? $ab$ $a^{2}+b^{2}+1$ $a^{2}+b+1$ $ab-b$
If $a$ and $b$ are integers and $a-b$ is even, which of the following must always be even? $ab$ $a^{2}+b^{2}+1$ $a^{2}+b+1$ $ab-b$
answered Nov 4, 2020 in Quantitative Aptitude Setika Mehra 486 views
19 votes
3 answers
23
GATE2011-65
A container originally contains $10$ litres of pure spirit. From this container, $1$ litre of spirit replaced with $1$ litre of water. Subsequently, $1$ litre of the mixture is again replaced with $1$ litre of water and this process is repeated one more time. How much spirit is now left in the container? $7.58$ litres $7.84$ litres $7$ litres $7.29$ litres
A container originally contains $10$ litres of pure spirit. From this container, $1$ litre of spirit replaced with $1$ litre of water. Subsequently, $1$ litre of the mixture is again replaced with $1$ litre of water and this process is repeated one more time. How much spirit is now left in the container? $7.58$ litres $7.84$ litres $7$ litres $7.29$ litres
answered Nov 3, 2020 in Quantitative Aptitude ntatexpe 5k views
0 votes
2 answers
24
Compound Int
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?
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?
answered Nov 3, 2020 in Quantitative Aptitude spodder1 374 views
0 votes
2 answers
25
GATE2018 ME-1: GA-7
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
answered Nov 2, 2020 in Quantitative Aptitude Mohnish 345 views
5 votes
3 answers
26
GATE2017 CE-2: GA-3
Four cards lie on table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are $2,3,$ red, and blue. Proposition: If a card has an even value on one side, then its opposite face is red. The card which MUST be turned over to verify the above proposition are $2,$ red $2,3,$ red $2,$ blue $2,$ red, blue
Four cards lie on table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are $2,3,$ red, and blue. Proposition: If a card has an even value on one side, then its opposite face is red. The card which MUST be turned over to verify the above proposition are $2,$ red $2,3,$ red $2,$ blue $2,$ red, blue
answered Oct 24, 2020 in Quantitative Aptitude ronak.ladhar 1.1k views
1 vote
2 answers
27
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 $781$ $791$ $881$ $891$
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 3, 2020 in Quantitative Aptitude bhaskar_raksahb21 1.2k views
0 votes
2 answers
28
ISI2017-MMA-30
The graph of a cubic polynomial $f(x)$ is shown below. If $k$ is a constant such that $f(x)=k$ has three real solutions, which of the following could be a possible value of $k$? $3$ $0$ $-7$ $-3$
The graph of a cubic polynomial $f(x)$ is shown below. If $k$ is a constant such that $f(x)=k$ has three real solutions, which of the following could be a possible value of $k$? $3$ $0$ $-7$ $-3$
answered Sep 18, 2020 in Quantitative Aptitude chiku_cr7 230 views
1 vote
2 answers
29
ISI2016-MMA-3
The number of real roots of the equation $2 \cos \big(\frac{x^2+x}{6}\big)=2^x+2^{-x}$ is $0$ $1$ $2$ $\infty$
The number of real roots of the equation $2 \cos \big(\frac{x^2+x}{6}\big)=2^x+2^{-x}$ is $0$ $1$ $2$ $\infty$
answered Sep 15, 2020 in Quantitative Aptitude Snorlax 132 views
0 votes
2 answers
30
Probability
A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 other cards of the same denomination (of course, different from the first denomination). Thus, one kind of full house is three of a kind plus a pair. What is the probability that one is dealt a full house?
A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 other cards of the same denomination (of course, different from the first denomination). Thus, one kind of full house is three of a kind plus a pair. What is the probability that one is dealt a full house?
answered Sep 14, 2020 in Quantitative Aptitude arun yadav 110 views
1 vote
1 answer
31
CMI2014-B-02
There are $n$ students in a class. The students have formed $k$ committees. Each committee consists of more than half of the students. Show that there is at least one student who is a member of more than half of the committees.
There are $n$ students in a class. The students have formed $k$ committees. Each committee consists of more than half of the students. Show that there is at least one student who is a member of more than half of the committees.
answered Sep 13, 2020 in Quantitative Aptitude Snorlax 164 views
0 votes
1 answer
32
ISI2016-MMA-12
Suppose there are $n$ positive real numbers such that their sum is 20 and the product is strictly greater than 1. What is the maximum possible value of n? 18 19 20 21
Suppose there are $n$ positive real numbers such that their sum is 20 and the product is strictly greater than 1. What is the maximum possible value of n? 18 19 20 21
answered Sep 13, 2020 in Quantitative Aptitude Snorlax 93 views
0 votes
0 answers
33
NIELIT 2016 MAR Scientist C - Section B: 16
Evaluate the sum $S=1+1+\dfrac{3}{2^{2}}+\dfrac{3}{2^{3}}+\dfrac{5}{2^{4}}+\dots$ $1$ $2$ $3$ $4$
Evaluate the sum $S=1+1+\dfrac{3}{2^{2}}+\dfrac{3}{2^{3}}+\dfrac{5}{2^{4}}+\dots$ $1$ $2$ $3$ $4$
asked Apr 2, 2020 in Quantitative Aptitude Lakshman Patel RJIT 101 views
0 votes
1 answer
34
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 17
A can is filled with $5$ paise coins. Another can is filled with $10$ paise coins. Another can is filled with $25$ paise coins. All the cans are given wrong labels. If the can labeled $25$ paise is not having the $10$ paise coins, what will the can, labeled $10$ paise have? $25$ paise $5$ paise $10$ paise cannot be determined
A can is filled with $5$ paise coins. Another can is filled with $10$ paise coins. Another can is filled with $25$ paise coins. All the cans are given wrong labels. If the can labeled $25$ paise is not having the $10$ paise coins, what will the can, labeled $10$ paise have? $25$ paise $5$ paise $10$ paise cannot be determined
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 204 views
1 vote
3 answers
36
NIELIT 2017 DEC Scientist B - Section B: 53
When the sum of all possible two digit numbers formed from three different one digit natural numbers are divided by sum of the original three numbers, the result is $26$ $24$ $20$ $22$
When the sum of all possible two digit numbers formed from three different one digit natural numbers are divided by sum of the original three numbers, the result is $26$ $24$ $20$ $22$
asked Mar 30, 2020 in Quantitative Aptitude Lakshman Patel RJIT 573 views
0 votes
1 answer
37
NIELIT 2017 Scientist B (CS) - Section A: 1
What is the maximum number of distinct handshakes that can happen in the room with $5$ people in it? $15$ $10$ $6$ $5$
What is the maximum number of distinct handshakes that can happen in the room with $5$ people in it? $15$ $10$ $6$ $5$
asked Mar 30, 2020 in Quantitative Aptitude Lakshman Patel RJIT 124 views
0 votes
1 answer
38
NIELIT 2017 Scientist B (CS) - Section A: 3
The percentage profit earned by selling an article for $\text{Rs.}1,920$ is equal to the percentage loss incurred by selling the same article for $\text{Rs.}1,280$. At what price should the article be sold to make $25\%$ profit? $\text{Rs.}2,000$ $\text{Rs.}2,200$ $\text{Rs.}2,400$ Data inadequate
The percentage profit earned by selling an article for $\text{Rs.}1,920$ is equal to the percentage loss incurred by selling the same article for $\text{Rs.}1,280$. At what price should the article be sold to make $25\%$ profit? $\text{Rs.}2,000$ $\text{Rs.}2,200$ $\text{Rs.}2,400$ Data inadequate
asked Mar 30, 2020 in Quantitative Aptitude Lakshman Patel RJIT 95 views
0 votes
2 answers
39
NIELIT 2017 Scientist B (CS) - Section A: 5
The present ages of three persons in proportions $4:7:9$. Eight years ago, the sum of their ages was $56$. Find their present ages (in years). $8,20,28$ $16,28,36$ $20,35,45$ None of the above options
The present ages of three persons in proportions $4:7:9$. Eight years ago, the sum of their ages was $56$. Find their present ages (in years). $8,20,28$ $16,28,36$ $20,35,45$ None of the above options
asked Mar 30, 2020 in Quantitative Aptitude Lakshman Patel RJIT 103 views
4 votes
5 answers
40
GATE 2020 CSE | Question: 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_______. $60^{\circ}$ $90^{\circ}$ $120^{\circ}$ $180^{\circ}$
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, 2020 in Quantitative Aptitude Arjun 3.1k views
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