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Recent questions and answers in Numerical Ability

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Recent questions and answers in Numerical Ability

3 votes
3 answers
1
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 1 day ago in Numerical Ability ronak.ladhar 716 views
5 votes
7 answers
2
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 Oct 15 in Numerical Ability Bikki_gupta 3.6k views
1 vote
2 answers
3
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 in Numerical Ability bhaskar_raksahb21 743 views
0 votes
1 answer
4
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 Sep 18 in Numerical Ability raju6 128 views
0 votes
2 answers
5
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 in Numerical Ability chiku_cr7 181 views
1 vote
2 answers
6
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 in Numerical Ability Snorlax 93 views
0 votes
2 answers
7
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 in Numerical Ability arun yadav 60 views
1 vote
1 answer
8
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 in Numerical Ability Snorlax 125 views
0 votes
1 answer
9
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 in Numerical Ability Snorlax 70 views
10 votes
5 answers
10
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 Sep 9 in Numerical Ability Pascua 3.7k views
3 votes
5 answers
11
TIFR2019-A-11
Suppose there are $n$ guests at a party (and no hosts). As the night progresses, the guests meet each other and shake hands. The same pair of guests might shake hands multiple times. for some parties stretch late into the night , and it is hard to keep track.Still, they don't shake ... $2 \mid \text{Even} \mid - \mid \text{Odd} \mid$ $2 \mid \text{Odd} \mid - \mid \text{Even} \mid$
Suppose there are $n$ guests at a party (and no hosts). As the night progresses, the guests meet each other and shake hands. The same pair of guests might shake hands multiple times. for some parties stretch late into the night , and it is hard to keep track.Still, they don't shake hands with ... $2 \mid \text{Even} \mid - \mid \text{Odd} \mid$ $2 \mid \text{Odd} \mid - \mid \text{Even} \mid$
answered Sep 3 in Numerical Ability Pascua 555 views
0 votes
3 answers
12
ISI2019-MMA-12
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then $f(n^3-1) = f(n-1)$ $f(n^3-1) = f(n-1) +1$ $f(n^3-1) = 2f(n-1)$ None of the above is necessarily true
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then $f(n^3-1) = f(n-1)$ $f(n^3-1) = f(n-1) +1$ $f(n^3-1) = 2f(n-1)$ None of the above is necessarily true
answered Sep 3 in Numerical Ability neeraj_bhatt 804 views
0 votes
1 answer
13
ISI2018-MMA-5
One needs to choose six real numbers $x_1, x_2, . . . , x_6$ such that the product of any five of them is equal to other number. The number of such choices is $3$ $33$ $63$ $93$
One needs to choose six real numbers $x_1, x_2, . . . , x_6$ such that the product of any five of them is equal to other number. The number of such choices is $3$ $33$ $63$ $93$
answered Sep 2 in Numerical Ability neeraj_bhatt 221 views
0 votes
2 answers
14
ISI2019-MMA-11
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$? $0$ $1$ $2$ infinitely many
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$? $0$ $1$ $2$ infinitely many
answered Sep 2 in Numerical Ability neeraj_bhatt 590 views
0 votes
1 answer
15
Charges for parking
Car parking along St. John street is charged at flat X dollar for any amount of time up to these hours, and 1/5 of X dollar each hour or fraction of an hour after the first three hours. How much does it cost to park for 5 hours and 30 minutes?
Car parking along St. John street is charged at flat X dollar for any amount of time up to these hours, and 1/5 of X dollar each hour or fraction of an hour after the first three hours. How much does it cost to park for 5 hours and 30 minutes?
answered Sep 2 in Numerical Ability Yesheysangay 58 views
1 vote
2 answers
16
ISI2018-MMA-1
The number of isosceles (but not equilateral) triangles with integer sides and no side exceeding $10$ is $65$ $75$ $81$ $90$
The number of isosceles (but not equilateral) triangles with integer sides and no side exceeding $10$ is $65$ $75$ $81$ $90$
answered Sep 2 in Numerical Ability neeraj_bhatt 642 views
5 votes
2 answers
17
TIFR2011-A-20
Let $n> 1$ be an odd integer. The number of zeros at the end of the number $99^{n}+1$ is. $1$ $2$ $3$ $4$ None of the above.
Let $n> 1$ be an odd integer. The number of zeros at the end of the number $99^{n}+1$ is. $1$ $2$ $3$ $4$ None of the above.
answered Aug 27 in Numerical Ability ankitgupta.1729 448 views
0 votes
1 answer
18
ISI2016-DCG-13
For all the natural number $n\geq 3,\: n^{2}+1$ is divisible by $3$ not divisible by $3$ divisible by $9$ None of these
For all the natural number $n\geq 3,\: n^{2}+1$ is divisible by $3$ not divisible by $3$ divisible by $9$ None of these
answered Aug 21 in Numerical Ability nocturnal123 73 views
0 votes
1 answer
19
ISI2015-DCG-53
Four squares of sides $x$ cm each are cut off from the four corners of a square metal sheet having side $100$ cm. The residual sheet is then folded into an open box which is then filled with a liquid costing Rs. $x^2$ with $cm^3$. The value of $x$ for which the cost of filling the box completely with the liquid is maximized, is $100$ $50$ $30$ $10$
Four squares of sides $x$ cm each are cut off from the four corners of a square metal sheet having side $100$ cm. The residual sheet is then folded into an open box which is then filled with a liquid costing Rs. $x^2$ with $cm^3$. The value of $x$ for which the cost of filling the box completely with the liquid is maximized, is $100$ $50$ $30$ $10$
answered Aug 20 in Numerical Ability Yash4444 74 views
3 votes
5 answers
20
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_______. $60^{\circ}$ $90^{\circ}$ $120^{\circ}$ $180^{\circ}$
answered Aug 20 in Numerical Ability himanshu dhawan 2.1k views
0 votes
3 answers
21
ISI2017-MMA-10
The inequality $\mid x^2 -5x+4 \mid > (x^2-5x+4)$ holds if and only if $1 < x < 4$ $x \leq 1$ and $x \geq 4$ $1 \leq x \leq 4$ $x$ takes any value except $1$ and $4$
The inequality $\mid x^2 -5x+4 \mid > (x^2-5x+4)$ holds if and only if $1 < x < 4$ $x \leq 1$ and $x \geq 4$ $1 \leq x \leq 4$ $x$ takes any value except $1$ and $4$
answered Aug 19 in Numerical Ability akshita_jain 318 views
1 vote
3 answers
22
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 $26$ $24$ $20$ $22$
answered Aug 19 in Numerical Ability akshita_jain 283 views
0 votes
2 answers
23
ISI2018-MMA-8
Let $a$ and $b$ be two positive integers such that $a = k_1b + r_1$ and $b = k_2r_1 + r_2,$ where $k_1,k_2,r_1,r_2$ are positive integers with $r_2 < r_1 < b$ Then $\text{gcd}(a, b)$ is same as $\text{gcd}(r_1,r_2)$ $\text{gcd}(k_1,k_2)$ $\text{gcd}(k_1,r_2)$ $\text{gcd}(r_1,k_2)$
Let $a$ and $b$ be two positive integers such that $a = k_1b + r_1$ and $b = k_2r_1 + r_2,$ where $k_1,k_2,r_1,r_2$ are positive integers with $r_2 < r_1 < b$ Then $\text{gcd}(a, b)$ is same as $\text{gcd}(r_1,r_2)$ $\text{gcd}(k_1,k_2)$ $\text{gcd}(k_1,r_2)$ $\text{gcd}(r_1,k_2)$
answered Aug 19 in Numerical Ability akshita_jain 335 views
3 votes
5 answers
24
GATE2016 EC-1: GA-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? $15$ $33$ $35$ $37$
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? $15$ $33$ $35$ $37$
answered Aug 19 in Numerical Ability Saiiniikhil 1.3k views
14 votes
4 answers
25
GATE2015-3-GA-5
A function $f(x)$ is linear and has a value of 29 at $x=-2$ and 39 at $x=3$. Find its value at $x=5$. $59$ $45$ $43$ $35$
A function $f(x)$ is linear and has a value of 29 at $x=-2$ and 39 at $x=3$. Find its value at $x=5$. $59$ $45$ $43$ $35$
answered Aug 19 in Numerical Ability akshita_jain 3.2k views
9 votes
3 answers
26
TIFR2011-A-15
The exponent of $3$ in the product $100!$ is $27$ $33$ $44$ $48$ None of the above.
The exponent of $3$ in the product $100!$ is $27$ $33$ $44$ $48$ None of the above.
answered Aug 18 in Numerical Ability akshita_jain 457 views
6 votes
4 answers
27
TIFR2011-A-13
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.
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.
answered Aug 18 in Numerical Ability ankitgupta.1729 501 views
16 votes
8 answers
29
GATE2014-2-GA-10
At what time between $6$ a. m. and $7$ a. m. will the minute hand and hour hand of a clock make an angle closest to $60°$? $6: 22$ a.m. $6: 27$ a.m. $6: 38$ a.m. $6: 45$ a.m.
At what time between $6$ a. m. and $7$ a. m. will the minute hand and hour hand of a clock make an angle closest to $60°$? $6: 22$ a.m. $6: 27$ a.m. $6: 38$ a.m. $6: 45$ a.m.
answered Aug 17 in Numerical Ability akshita_jain 4.5k views
10 votes
3 answers
30
GATE2013 AE: GA-8
If $\mid -2X+9\mid =3$ then the possible value of $\mid -X\mid -X^2$ would be: $30$ $-30$ $-42$ $42$
If $\mid -2X+9\mid =3$ then the possible value of $\mid -X\mid -X^2$ would be: $30$ $-30$ $-42$ $42$
answered Aug 17 in Numerical Ability akshita_jain 898 views
0 votes
2 answers
31
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
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
answered Aug 14 in Numerical Ability subbus 164 views
1 vote
2 answers
32
ISI2014-DCG-69
The number of ways in which the number $1440$ can be expressed as a product of two factors is equal to $18$ $720$ $360$ $36$
The number of ways in which the number $1440$ can be expressed as a product of two factors is equal to $18$ $720$ $360$ $36$
answered Aug 12 in Numerical Ability subbus 142 views
27 votes
6 answers
33
GATE2017-1-GA-9
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes? $21$ $18$ $16$ $14$
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes? $21$ $18$ $16$ $14$
answered Aug 10 in Numerical Ability keshore muralidharan 5.3k views
21 votes
5 answers
34
GATE2017-1-GA-7
Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is $2$ $3$ $4$ Cannot be determined
Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is $2$ $3$ $4$ Cannot be determined
answered Aug 10 in Numerical Ability keshore muralidharan 3.9k views
17 votes
4 answers
35
GATE2018-GA-9
In the figure below, $\angle DEC + \angle BFC$ is equal to _____ $\angle BCD - \angle BAD$ $\angle BAD + \angle BCF$ $\angle BAD + \angle BCD$ $\angle CBA + \angle ADC$
In the figure below, $\angle DEC + \angle BFC$ is equal to _____ $\angle BCD - \angle BAD$ $\angle BAD + \angle BCF$ $\angle BAD + \angle BCD$ $\angle CBA + \angle ADC$
answered Aug 9 in Numerical Ability keshore muralidharan 5.1k views
11 votes
5 answers
36
GATE2018-GA-4
What would be the smallest natural number which when divided either by $20$ or by $42$ or by $76$ leaves a remainder of $7$ in each case? $3047$ $6047$ $7987$ $63847$
What would be the smallest natural number which when divided either by $20$ or by $42$ or by $76$ leaves a remainder of $7$ in each case? $3047$ $6047$ $7987$ $63847$
answered Aug 9 in Numerical Ability subbus 2.3k views
6 votes
5 answers
37
ISRO2007-61
The Fibonacci sequence is the sequence of integers 1, 3, 5, 7, 9, 11, 13 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 0, 1, 3, 4, 7, 11, 18, 29, 47 0, 1, 3, 7, 15
The Fibonacci sequence is the sequence of integers 1, 3, 5, 7, 9, 11, 13 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 0, 1, 3, 4, 7, 11, 18, 29, 47 0, 1, 3, 7, 15
answered Aug 8 in Numerical Ability Aditya_Dhopade 1.5k views
4 votes
2 answers
38
GATE2018 CE-1: GA-3
Hema's age is $5$ years more than twice Hari's age. Suresh's age is $13$ years less than 10 times Hari's age. If Suresh is $3$ times as old as Hema, how old is Hema? $14$ $17$ $18$ $19$
Hema's age is $5$ years more than twice Hari's age. Suresh's age is $13$ years less than 10 times Hari's age. If Suresh is $3$ times as old as Hema, how old is Hema? $14$ $17$ $18$ $19$
answered Jul 25 in Numerical Ability Pooja Khatri 480 views
19 votes
5 answers
39
GATE2011-64
A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses $7$ trucks, then at the end of the $4^{th}$ day he can clear all the orders. Alternatively, if he uses only $3$ trucks, then all the orders ... number of trucks required so that there will be no pending order at the end of $5^{th}$ day? $4$ $5$ $6$ $7$
A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses $7$ trucks, then at the end of the $4^{th}$ day he can clear all the orders. Alternatively, if he uses only $3$ trucks, then all the orders are ... minimum number of trucks required so that there will be no pending order at the end of $5^{th}$ day? $4$ $5$ $6$ $7$
answered Jul 24 in Numerical Ability mrinmoyh 4.5k views
1 vote
3 answers
40
ISI2015-MMA-3
Let $x$ be a positive real number. Then $x^2+\pi ^2 + x^{2 \pi} > x \pi+ (\pi + x) x^{\pi}$ $x^{\pi}+\pi^x > x^{2 \pi} + \pi ^{2x}$ $\pi x +(\pi+x)x^{\pi} > x^2+\pi ^2 + x^{2 \pi}$ none of the above
Let $x$ be a positive real number. Then $x^2+\pi ^2 + x^{2 \pi} > x \pi+ (\pi + x) x^{\pi}$ $x^{\pi}+\pi^x > x^{2 \pi} + \pi ^{2x}$ $\pi x +(\pi+x)x^{\pi} > x^2+\pi ^2 + x^{2 \pi}$ none of the above
answered Jul 9 in Numerical Ability EuclideanSpace 371 views
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