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

1

2012 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2012

Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is

A

5

B

6

C

9

D

10

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2

2015 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2015

Operators □, ◇ and → are defined by: $a \square b = \frac{a-b}{a+b}$; $a \diamond b = \frac{a+b}{a-b}$; $a \rightarrow b = ab$.
Find the value of $(66 \square 6) \rightarrow (66 \diamond 6)$.

A

-2

B

-1

C

1

D

2

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3

2016 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2016

If |9y – 6| = 3, then y^2 – 4y/3 is ________.

A

0

B

+1/3

C

–1/3

D

undefined

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4

2017 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2017

What is the value of \( x \) when \( 81 \times \left(\frac{16}{25}\right)^{x+2} \div \left(\frac{3}{5}\right)^{2x+4} = 144 \) ?

A

1

B

-1

C

-2

D

Cannot be determined

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5

2018 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2018

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m² of area. What is the area of the original rectangle in square meters?

A

1125

B

2250

C

2924

D

4500

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6

2018 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2018

A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

A

63

B

72

C

81

D

90

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7

2018 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2018

Given that \(a\) and \(b\) are integers and \(a + a^2 b^3\) is odd, which one of the following statements is correct?

A

\(a\) and \(b\) are both odd

B

\(a\) and \(b\) are both even

C

\(a\) is even and \(b\) is odd

D

\(a\) is odd and \(b\) is even

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8

2019 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2019

The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P?

A

6

B

7

C

8

D

9.5

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9

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

Life Sciences (XL) 2020

The difference between the sum of the first \(2n\) natural numbers and the sum of the first \(n\) odd natural numbers is _____.

A

\(n^2 - n\)

B

\(n^2 + n\)

C

\(2n^2 - n\)

D

\(2n^2 + n\)

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10

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

Life Sciences (XL) 2021

If \(\left(x - \frac{1}{2}\right)^2 - \left(x - \frac{3}{2}\right)^2 = x + 2\), then the value of \(x\) is:

A

2

B

4

C

6

D

8

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11

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

Life Sciences (XL) 2021

The number of students in three classes is in the ratio 3:13:6. If 18 students are added to each class, the ratio changes to 15:35:21.
The total number of students in all the three classes in the beginning was:

A

22

B

66

C

88

D

110

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12

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

Life Sciences (XL) 2022

Both the numerator and the denominator of \( \frac{3}{4} \) are increased by a positive integer, \( x \), and those of \( \frac{15}{17} \) are decreased by the same integer. This operation results in the same value for both the fractions.
What is the value of \( x \)?

A

1

B

2

C

3

D

4

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13

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

Life Sciences (XL) 2022

The half-maximal velocity of an enzyme catalyzed reaction was found at a substrate concentration of 0.5 × 10⁻⁶ M. This enzyme follows Michaelis-Menten kinetics. In the presence of a competitive inhibitor, the half-maximal velocity was found at a substrate concentration of 1.5 × 10⁻⁶ M. Given that the enzyme-inhibitor pair has a dissociation constant of 2 × 10⁻⁷ M, the concentration of the competitive inhibitor in μM, rounded off to one place of decimal, was ______.

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14

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

Life Sciences (XL) 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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15

2025 · General Aptitude (GA) · General Aptitude · Algebra

Life Sciences (XL) 2025

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:
(i) The sum of Yellow balls and twice the number of Violet balls is 50.
(ii) The sum of Violet and Green balls is 50.
(iii) The sum of Yellow and Red balls is 50.
(iv) The sum of Violet and twice the number of Red balls is 50.
Which one of the following Pie charts correctly represents the balls in the bag?

A

B

C

D

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