Algebra - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2020 · General Aptitude (GA) · General Aptitude · Algebra

Petroleum Engineering (PE) 2020

The sum of the first \(n\) terms in the sequence 8, 88, 888, 8888, … is ______.

A

\(\frac{81}{80}(10^n - 1) + \frac{9}{8}n\)

B

\(\frac{80}{81}(10^n - 1) - \frac{9}{8}n\)

C

\(\frac{81}{80}(10^n - 1) + \frac{8}{9}n\)

D

\(\frac{80}{81}(10^n - 1) - \frac{8}{9}n\)

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2

2020 · General Aptitude (GA) · General Aptitude · Algebra

Petroleum Engineering (PE) 2020

Select the graph that schematically represents BOTH \(y = x^m\) and \(y = x^{1/m}\) properly in the interval \(0 \leq x \leq 1\), for integer values of \(m\), where \(m > 1\).

A

B

C

D

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3

2021 · General Aptitude (GA) · General Aptitude · Algebra

Petroleum Engineering (PE) 2021

\(p\) and \(q\) are positive integers and \(\frac{p}{q} + \frac{q}{p} = 3\), then, \(\frac{p^2}{q^2} + \frac{q^2}{p^2} =\)

A

3

B

7

C

9

D

11

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4

2022 · General Aptitude (GA) · General Aptitude · Algebra

Petroleum Engineering (PE) 2022

The average of the monthly salaries of M, N and S is ₹4000. The average of the monthly salaries of N, S and P is ₹5000. The monthly salary of P is ₹6000.

What is the monthly salary of M as a percentage of the monthly salary of P?

A

50%

B

75%

C

100%

D

125%

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5

2022 · General Aptitude (GA) · General Aptitude · Algebra

Petroleum Engineering (PE) 2022

A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph.
What percentage of the total distance is travelled at a uniform speed of 10 kmph?

A

28.25

B

37.25

C

43.75

D

50.00

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6

2024 · General Aptitude (GA) · General Aptitude · Algebra

Petroleum Engineering (PE) 2024

If the sum of the first 20 consecutive positive odd numbers is divided by $20^2$, the result is

A

1

B

20

C

2

D

1/2

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7

2024 · General Aptitude (GA) · General Aptitude · Algebra

Petroleum Engineering (PE) 2024

The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is

A

150

B

200

C

250

D

175

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8

2023 · General Aptitude (GA) · General Aptitude · Algebra

Petroleum Engineering (PE) 2023

Which one of the given figures P, Q, R and S represents the graph of the following function?
\( f(x) = | |x + 2| - |x - 1| | \)

A

P

B

Q

C

R

D

S

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