Recent questions and answers in Quantitative Aptitude / GATE Overflow for GATE CSE

3 votes

1 answer

1

GO Classes 2023 | IIITH Mock Test 1 | Question: 65
If $a, b$ and $c$ are three real numbers, then which of the following is not true? $\mid a+b \mid\leq \mid a \mid+\mid b \mid$ $\mid a – b \mid \leq \mid a \mid + \mid b\mid$ $\mid a-b \mid \leq \mid a \mid -\mid b \mid$ $\mid a-c \mid \leq \mid a-b \mid+\mid b-c \mid$

If $a, b$ and $c$ are three real numbers, then which of the following is not true?$\mid a+b \mid\leq \mid a \mid+\mid b \mid$$\mid a – b \mid \leq \mid a \mid + \mid b...

MJOFFICIAL07

556 views

MJOFFICIAL07 answered 1 day ago

17 votes

9 answers

2

GO Classes CS/DA 2025 | Weekly Quiz 1 | Fundamental Course | Question: 1
Let $\text{S} =\displaystyle \sum_{i=1}^n f(x_i), \text{A}=\displaystyle\sum_{i=1}^{a} f(x_i)$ and $\text{B}=\displaystyle \sum_{i=a}^n f(x_i)$ ... $\text{S}=\displaystyle \sum_{i=1}^{a-1} f(x_i)+ \text{B}$ $\text{S = A + B}-f(x_a)$

Let $\text{S} =\displaystyle \sum_{i=1}^n f(x_i), \text{A}=\displaystyle\sum_{i=1}^{a} f(x_i)$ and $\text{B}=\displaystyle \sum_{i=a}^n f(x_i)$ thenWhich of the following...

Venkatasuriya

2.7k views

Venkatasuriya answered 1 day ago

1 votes

2 answers

3

GO Classes 2023 | IIITH Mock Test 1 | Question: 59
The length, breadth and height of a room are in the ration $3:2:1.$ If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will remain the same. decrease by $15\%$ decrease by $18.75\%$ decrease by $30\%$

The length, breadth and height of a room are in the ration $3:2:1.$ If the breadth and height are halved while the length is doubled, then the total area of the four wall...

MJOFFICIAL07

777 views

MJOFFICIAL07 answered 1 day ago

2 votes

2 answers

4

GATE 2017 EC
Q1. Three indian and three chinese split into subgroups having atleast one indian. How many subgroups are possible?

Q1. Three indian and three chinese split into subgroups having atleast one indian. How many subgroups are possible?

CJ_2024

6.4k views

CJ_2024 answered 2 days ago

1 votes

1 answer

5

How to Prepare for Quantitative Aptitude for CAT Type 3 Q-25
Assume that the rate of consumption of coal by a locomotive varies as the square of the speed and is 1000 kg per hour when the speed is 60 km per hour. If the coal costs the railway company ` 15 per 100 kg and if the other ... train be ` 12 per hour, find a formula for the cost in paise per kilometre when the speed is S km per hour.

Assume that the rate of consumption of coal by a locomotive varies as the square of the speed and is 1000 kg per hour when the speed is 60 km per hour. If the coal costs ...

DEBANJAN DAS2k

36 views

DEBANJAN DAS2k answered 2 days ago

3 votes

1 answer

6

GO Classes 2023 | IIITH Mock Test 1 | Question: 62
The expression $\dfrac{(x+y) - |x-y|}{2}$ is equal to : The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above

The expression $\dfrac{(x+y) - |x-y|}{2}$ is equal to :The maximum of $x$ and $y$The minimum of $x$ and $y$$1$None of the above

Taporikumar12

696 views

Taporikumar12 answered 3 days ago

0 votes

2 answers

7

Permutations
In how many ways can four letters from COFFEE be picked considering all permutations?

In how many ways can four letters from COFFEE be picked considering all permutations?

manishankarkanrar

111 views

manishankarkanrar answered 5 days ago

0 votes

1 answer

8

Maths StackExchange Combinatorics
How many ways to arrange ABCD such that A precedes B, and C precedes D

How many ways to arrange ABCD such that A precedes B, and C precedes D

manishankarkanrar

55 views

manishankarkanrar answered 6 days ago

3 votes

3 answers

9

GO Classes 2023 | IIITH Mock Test 1 | Question: 81
$6 \mathrm{~kg}$ of $\mathrm{Rs}\; 8 / \mathrm{~kg}$ wheat is mixed with $3 \mathrm{~kg}$ of another type of wheat to get a mixture costing $\mathrm{Rs}\;10 / \mathrm{~kg}$. Find the price of the costlier wheat. Rs $12 / \mathrm{~kg}$ Rs $14 / \mathrm{~kg}$ Rs $16 / \mathrm{~kg}$ Rs $6 / \mathrm{~kg}$

$6 \mathrm{~kg}$ of $\mathrm{Rs}\; 8 / \mathrm{~kg}$ wheat is mixed with $3 \mathrm{~kg}$ of another type of wheat to get a mixture costing $\mathrm{Rs}\;10 / \mathrm{~kg...

naval

620 views

naval answered Apr 14

1 votes

2 answers

10

GATE Civil 2022 Set 1 | GA Question: 3
If $p : q = 1:2$ $q : r = 4 : 3$ $r : s = 4 : 5$ and $u$ is $50\%$ more than $s$, what is the ratio $p : u$? $2 : 15$ $16 : 15$ $1 : 5$ $16 : 45$

If$p : q = 1:2$$q : r = 4 : 3$$r : s = 4 : 5$and $u$ is $50\%$ more than $s$, what is the ratio $p : u$?$2 : 15$$16 : 15$$1 : 5$$16 : 45$

shikhar500

524 views

shikhar500 answered Apr 11

2 votes

2 answers

11

GATE Civil 2023 Set 1 | GA Question: 3
In the given figure, $\text{PQRSTV}$ is a regular hexagon with each side of length $5\mathrm{~cm}.$ A circle is drawn with its centre at $ \mathrm{V}$ such that it passes through $\mathrm{P}.$ What is the area $ \text{( in cm}^{2})$ of the shaded region? (The diagram is representative) $\frac{25 \pi}{3}$ $\frac{20 \pi}{3}$ $6 \pi$ $7\pi$

In the given figure, $\text{PQRSTV}$ is a regular hexagon with each side of length $5\mathrm{~cm}.$ A circle is drawn with its centre at $ \mathrm{V}$ such that it passes...

CJ_2024

1.6k views

CJ_2024 answered Apr 10

0 votes

1 answer

12

How many 4-digit even numbers can be created?
I know that in unit place we can have 5 cases (0, 2, 4, 6, 8). In the leading position (thousandth place), should zero be allowed? 10 x 10 x 10 x 5 9 x 10 x 10 x 5 (This is what I believe should be the answer) If either of these options are available, then we can choose any one. But what if both of these exists in the exam, then which one is correct?

I know that in unit place we can have 5 cases (0, 2, 4, 6, 8). In the leading position (thousandth place), should zero be allowed?10 x 10 x 10 x 59 x 10 x 10 x 5 (This is...

Sun Wukong

95 views

Sun Wukong answered Apr 8

2 votes

4 answers

13

GATE2018 ME-2: GA-6
Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films? 0 2 4 8

Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched fi...

viral8702

3.8k views

viral8702 answered Apr 7

2 votes

1 answer

14

GATE Electrical 2023 | GA Question: 10
A square with sides of length $6 \mathrm{~cm} $ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown. The area of the shaded region is_______ $\mathrm{cm}^2.$ $6 \pi$ $18$ $20$ $9 \pi$

A square with sides of length $6 \mathrm{~cm} $ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as...

Krishna Reddy kyp

1.2k views

Krishna Reddy kyp answered Apr 4

5 votes

5 answers

15

GATE CSE 2024 | Set 2 | GA Question: 7
A person sold two different items at the same price. He made $10 \%$ profit in one item, and $10 \%$ loss in the other item. In selling these two items, the person made a total of $1 \%$ profit $2 \%$ profit $1 \%$ loss $2 \%$ loss

A person sold two different items at the same price. He made $10 \%$ profit in one item, and $10 \%$ loss in the other item. In selling these two items,...

priyansh_1705

3.1k views

priyansh_1705 answered Mar 26

2 votes

1 answer

16

General Aptitude. Interview Questions
If 11th March 1997 was Thursday. What day of the week was on 9th March, 2000 ?

If 11th March 1997 was Thursday. What day of the week was on 9th March, 2000 ?

tejashmore25

121 views

tejashmore25 answered Mar 25

0 votes

1 answer

17

GATE Mechanical 2023 | GA Question: 7
Consider the following inequalities $ \begin{aligned} & p^2-4 q<4 \\ & 3 p+2 q<6 \end{aligned} $ where $p$ and $q$ are positive integers. The value of $(p+q)$ is __________. $2$ $1$ $3$ $4$

Consider the following inequalities$$\begin{aligned}& p^2-4 q<4 \\& 3 p+2 q<6\end{aligned}$$where $p$ and $q$ are positive integers.The value of $(p+q)$ is __________.$2$...

Chenna_Dheeraj

378 views

Chenna_Dheeraj answered Mar 24

16 votes

2 answers

18

GO Classes CS/DA 2025 | Weekly Quiz 3 | Fundamental Course and Linear Algebra | Question: 2
If $n!$ denotes the product of the integers $1$ through $n,$ what is the remainder when $(1 !+2 !+3 !+4 !+5 !+6 !+\ldots +9 ! )$ is divided by $9 ?$

If $n!$ denotes the product of the integers $1$ through $n,$ what is the remainder when $(1 !+2 !+3 !+4 !+5 !+6 !+\ldots +9 ! )$ is divided by $9 ?$

KG

749 views

KG answered Mar 21

13 votes

4 answers

19

GO Classes CS/DA 2025 | Weekly Quiz 3 | Fundamental Course and Linear Algebra | Question: 13
What will be value of $x$ satisfying the below equation? $ \sqrt{\log _2 x^4}+4 \log _4 \sqrt{\frac{2}{x}}=2 $

What will be value of $x$ satisfying the below equation?$$\sqrt{\log _2 x^4}+4 \log _4 \sqrt{\frac{2}{x}}=2$$

KG

806 views

KG answered Mar 21

1 votes

4 answers

20

GATE DS&AI 2024 | GA Question: 5
In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ is represented by the pie chart shown. The total number of votes cast in the election were $1,15,000$, out of which $5,000$ were invalid ... of valid votes received by the candidates $\mathrm{B}$ and $\mathrm{C}$ is $45,000$ $49,500$ $51,750$ $54,000$

In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ is represented by the pie chart shown. The t...

gaurav0to1

1.6k views

gaurav0to1 answered Mar 17

2 votes

3 answers

21

DRDO CSE 2022 Paper 2 | Question: 24
Compute the following: $3^{32} \bmod 80$.

Compute the following: $3^{32} \bmod 80$.

chetan-naik

574 views

chetan-naik answered Mar 16

12 votes

3 answers

22

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. $000.00$ $166.67$ $300.00$ $433.33$

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...

RANJEETKUMBHAR

3.8k views

RANJEETKUMBHAR answered Mar 15

9 votes

2 answers

23

GATE Mechanical 2020 Set 1 | GA Question: 8
The sum of the first $n$ terms in the sequence $8,\:88,\:888,\:8888,\dots$ is ________. $\dfrac{81}{80}\left ( 10^{n}-1 \right )+\dfrac{9}{8}n \\$ $\dfrac{81}{80}\left ( 10^{n}-1 \right )-\dfrac{9}{8}n \\$ $\dfrac{80}{81}\left ( 10^{n}-1 \right )+\dfrac{8}{9}n \\$ $\dfrac{80}{81}\left ( 10^{n}-1 \right )-\dfrac{8}{9}n$

The sum of the first $n$ terms in the sequence $8,\:88,\:888,\:8888,\dots$ is ________.$\dfrac{81}{80}\left ( 10^{n}-1 \right )+\dfrac{9}{8}n \\$$\dfrac{81}{80}\left ( 10...

Krishna Reddy kyp

1.0k views

Krishna Reddy kyp answered Mar 14

5 votes

7 answers

24

GATE Civil 2020 Set 1 | GA Question: 8
Insert seven numbers between $2$ and $34$, such that the resulting sequence including $2$ and $34$ is an arithmetic progression. The sum of these inserted seven numbers is ______. $120$ $124$ $126$ $130$

Insert seven numbers between $2$ and $34$, such that the resulting sequence including $2$ and $34$ is an arithmetic progression. The sum of these inserted seven numbers...

Krishna Reddy kyp

2.1k views

Krishna Reddy kyp answered Mar 14

14 votes

3 answers

25

GATE2018 ME-1: GA-9
Which of the following functions describe the graph shown in the below figure? $y=\mid \mid x \mid + 1 \mid -2$ $y=\mid \mid x \mid - 1 \mid -1$ $y=\mid \mid x \mid + 1 \mid -1$ $y=\mid \mid x - 1 \mid -1 \mid$

Which of the following functions describe the graph shown in the below figure?$y=\mid \mid x \mid + 1 \mid -2$$y=\mid \mid x \mid - 1 \mid -1$$y=\mid \mid x \mid + 1 \mid...

Krishna Reddy kyp

2.7k views

Krishna Reddy kyp answered Mar 14

21 votes

2 answers

26

GATE2013 CE: GA-7
If $\mid 4X-7 \mid =5$ then the values of $2\mid X\mid -\mid -X\mid$ is: $\quad 2,\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{2}\right),3$ $\left(\dfrac{3}{2}\right),9$ $\left(\dfrac{2}{3}\right),9$

If $\mid 4X-7 \mid =5$ then the values of $2\mid X\mid -\mid -X\mid$ is:$\quad 2,\left(\dfrac{1}{3}\right)$$\left(\dfrac{1}{2}\right),3$$\left(\dfrac{3}{2}\right),9$$\le...

Krishna Reddy kyp

3.6k views

Krishna Reddy kyp answered Mar 14

2 votes

3 answers

27

GO Classes CS/DA 2025 | Weekly Quiz 2 | Fundamental Course | Question: 4
Consider the following statements: $\text{S1}:$ If an integer ' $a$ ' is even then $\left(a^ 2\right)+2 a+9$ is odd. $\text{S2}:$ For an integer ' $a$ ', if $\left(a^ 2\right)+2 a+9$ is odd then ... of the above statements is true? Only $\text{S1}$ Only $\text{S2}$ Both $\text{S1}\; \&\; \text{S2}$ None

Consider the following statements:$\text{S1}:$ If an integer ' $a$ ' is even then $\left(a^ 2\right)+2 a+9$ is odd.$\text{S2}:$ For an integer ' $a$ ', if $\left(a^ 2\rig...

Rohit139

314 views

Rohit139 answered Mar 10

3 votes

2 answers

28

GO Classes CS/DA 2025 | Weekly Quiz 2 | Fundamental Course | Question: 2
Consider the following statements: $\text{S1}:$ If $a, b \in Z$ and $a+b$ is even, then $a^ 2+b^ 2$ is even. $\text{S2}:$ If $a, b \in Z$ and $a+b$ is odd, then $a^ 2+b^ 2$ is odd. Which of the above statements is true? Only $\text{S1}$ Only $\text{S2}$ Both $\text{S1}\; \&\; \text{S2}$ None

Consider the following statements:$\text{S1}:$ If $a, b \in Z$ and $a+b$ is even, then $a^ 2+b^ 2$ is even.$\text{S2}:$ If $a, b \in Z$ and $a+b$ is odd, then $a^ 2+b^ 2$...

Rohit139

290 views

Rohit139 answered Mar 10

3 votes

4 answers

29

GO Classes CS/DA 2025 | Weekly Quiz 2 | Fundamental Course | Question: 1
Consider the following statements: $\text{S1}:$ Suppose $a, b, c \in \mathbb{Z}$. If $a^2 \mid b$ and $b^3 \mid c,$ then $a^6 \mid c$. $\text{S2}:$ Suppose $a \in \mathbb{Z}$. If $a^3$ ... of the above statements is true? Only $\text{S1}$. Only $\text{S2}$. Both $\text{S1} \;\& \;\text{S2}$. None

Consider the following statements:$\text{S1}:$ Suppose $a, b, c \in \mathbb{Z}$. If $a^2 \mid b$ and $b^3 \mid c,$ then $a^6 \mid c$.$\text{S2}:$ Suppose $a \in \mathbb{Z...

Rohit139

644 views

Rohit139 answered Mar 10

0 votes

4 answers

30

GATE DS&AI 2024 | GA Question: 3
How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number? $24$ $48$ $72$ $12$

How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number?$24$$48$$...

gaurav0to1

2.0k views

gaurav0to1 answered Mar 7

0 votes

1 answer

31

Arun sharma
Can some one please tell me how are we finding solutions, for example when x = 3 how is number of solutions of y + z is 20. Three variables x,y,z have sum of 30. All three of them are non-negative integers. If any two variables don't have same value and exactly one variable has a value less than or equal to three, then find the number of possible solution for variables.

Can some one please tell me how are we finding solutions, for example when x = 3 how is number of solutions of y + z is 20.Three variables x,y,z have sum of 30. All three...

Mrityudoot

191 views

Mrityudoot answered Mar 7

3 votes

3 answers

32

GO Classes CS/DA 2025 | Weekly Quiz 1 | Fundamental Course | Question: 10
Which of the following options is/are TRUE? $43 \equiv-2(\bmod 5)$ $5 \equiv-7(\bmod 3)$ $-10 \equiv-25(\bmod 7)$ $8 \equiv-8(\bmod 5)$

Which of the following options is/are TRUE?$43 \equiv-2(\bmod 5)$$5 \equiv-7(\bmod 3)$$-10 \equiv-25(\bmod 7)$$8 \equiv-8(\bmod 5)$

ayushyadav05

757 views

ayushyadav05 answered Mar 7

24 votes

4 answers

33

GO Classes CS/DA 2025 | Weekly Quiz 1 | Fundamental Course | Question: 7
If the sum of $p$ terms of an $\text{A.P.}$ is $q$ and the sum of $q$ terms is $p$, then the sum of $p+q$ terms is _________. $0$ $p-q$ $p+q$ $-(p+q)$

If the sum of $p$ terms of an $\text{A.P.}$ is $q$ and the sum of $q$ terms is $p$, then the sum of $p+q$ terms is _________.$0$$p-q$$p+q$$-(p+q)$

Rohit139

2.2k views

Rohit139 answered Mar 7

2 votes

2 answers

34

GATE CSE 2024 | Set 1 | GA: 5
For positive non-zero real variables $p$ and $q$, if $\log \left(p^2+q^2\right)=\log p+\log q+2 \log 3,$ then, the value of $\frac{p^4+q^4}{p^2 q^2}$ is $79$ $81$ $9$ $83$

For positive non-zero real variables $p$ and $q$, if$\log \left(p^2+q^2\right)=\log p+\log q+2 \log 3,$then, the value of $\frac{p^4+q^4}{p^2 q^2}$ is$79$$81$$9$$83$

Rohit139

3.2k views

Rohit139 answered Mar 7

0 votes

2 answers

35

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

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 perce...

Emankashyap

672 views

Emankashyap answered Mar 7

2 votes

2 answers

36

GO Classes 2023 | IIITH Mock Test 1 | Question: 52
A man travels three-fifths of distance $A B$ at a speed of $3 a$, and the remaining at a speed of $2 b$. If he goes from $B$ to $A$ and back at a speed of $5 c$ in the same time, then: $1 / a+1 / b=1 / c$ $a+b=c$ $1 / a+1 / b=2 / c$ None of these

A man travels three-fifths of distance $A B$ at a speed of $3 a$, and the remaining at a speed of $2 b$. If he goes from $B$ to $A$ and back at a speed of $5 c$ in the sa...

pwnb0y

1.5k views

pwnb0y answered Mar 5

7 votes

5 answers

37

GATE CSE 2024 | Set 2 | GA Question: 4
For positive non-zero real variables $x$ and $y$, if \[ \ln \left(\frac{x+y}{2}\right)=\frac{1}{2}[\ln (x)+\ln (y)] \] then, the value of $\frac{x}{y}+\frac{y}{x}$ is $1$ $1 / 2$ $2$ $4$

For positive non-zero real variables $x$ and $y$, if\[\ln \left(\frac{x+y}{2}\right)=\frac{1}{2}[\ln (x)+\ln (y)]\]then, the value of $\frac{x}{y}+\frac{y}{x}$ is$1$$1 / ...

Sachin Mittal 1

2.8k views

Sachin Mittal 1 answered Mar 4

2 votes

1 answer

38

GO Classes 2023 | IIITH Mock Test 1 | Question: 89
Students in a college have to choose at least two subjects from chemistry, mathematics, and physics. The number of students choosing all three subjects is $18,$ choosing mathematics as one of their subjects is $23$ and choosing physics as one ... possible number of students who could choose chemistry as one of their subjects is $20$ $22$ $19$ $21$

Students in a college have to choose at least two subjects from chemistry, mathematics, and physics. The number of students choosing all three subjects is $18,$ choosing ...

Saransh15

725 views

Saransh15 answered Mar 1

6 votes

3 answers

39

GATE CSE 2024 | Set 2 | GA Question: 3
In an engineering college of $10,000$ students, $1,500$ like neither their core branches nor other branches. The number of students who like their core branches is $1 / 4^{\text {th }}$ of the number of students who like other branches. The number ... branches is $500$. The number of students who like their core branches is $1,800$ $3,500$ $1,600$ $1,500$

In an engineering college of $10,000$ students, $1,500$ like neither their core branches nor other branches. The number of students who like their core branch...

Ayon Sinha

5.7k views

Ayon Sinha answered Feb 27

3 votes

3 answers

40

GATE DS&AI 2024 | GA Question: 4
The sum of the following infinite series is \[ 2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots \] $11 / 3$ $7 / 2$ $13 / 4$ $9 / 2$

The sum of the following infinite series is\[2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots\]$11 / 3$$7 ...

Arjun

1.5k views

Arjun asked Feb 16

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