Indices (IPMAT/JIPMAT) - Free PYQs + Solutions

Q1:

Indore 2024

Algebra

>

Indices

Easy

Q1:

The greatest number among

2^{300}

,

3^{200}

,

4^{100}

,

2^{100} + 3^{100}

is

2^{300}

3^{200}

2^{100} + 3^{100}

4^{100}

Correct Answer

Option: 2

Correct Answer

Explanation →

Q2:

Indore 2022

Algebra

>

Indices

Medium

Q2:

The set of all possible values of

f(x)

for which

(81)^{x}+(81)^{f(x)}=3

is

(

0.25,3)

(-\infty, 4)

(-\infty, 0.25)

(3,4)

Correct Answer

Option: 3

Correct Answer

Explanation →

Q3:

Indore 2019

Algebra

>

Indices

Medium

Q3:

Determine the greatest number among the following four numbers:

2^{300}

3^{200}

2^{100} + 3^{100}

4^{100}

Correct Answer

Option: 2

Correct Answer

Explanation →

Q4:

JIPMAT 2024

Algebra

>

Indices

Medium

Q4:

Simplify :

\dfrac{\sqrt[4]{0.0625}+\sqrt[3]{0.008}+\sqrt{0.09}-1}{\sqrt[3]{62 \cdot 5 \times \sqrt[5]{32}}}

1.25

\frac{1}{5}

0

24

Correct Answer

Option: 3

Correct Answer

Explanation →

Q5:

JIPMAT 2024

Algebra

>

Indices

Easy

Q5:

Match List I with List II

	List-I (Expression)		List-II (Absolute Value)
(A)	$\sqrt{15 \times 163 \div 5-89}$	(I)	105
(B)	$\sqrt{15^{2}+11 \times 3^{2}}$	(II)	20
(C)	$\sqrt{8^{2} \times 7 \times 5^{2}-175}$	(III)	10
(D)	$\sqrt{91+\sqrt{70+\sqrt{121}}}$	(IV)	18

Choose the correct answer from the options given below :

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

(A) - (II), (B) - (III), (C) - (I), (D) - (IV)

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Correct Answer

Option: 3

Correct Answer

Explanation →

Q6:

JIPMAT 2023

Algebra

>

Indices

Easy

Q6:

\sqrt{3+\sqrt{5}}=

\sqrt{2}+1

\sqrt{\frac{5}{2}}+\sqrt{\frac{1}{2}}

\sqrt{\frac{7}{2}}-\sqrt{\frac{1}{2}}

\sqrt{\frac{9}{2}}-\sqrt{\frac{3}{2}}

Correct Answer

Option: 2

Correct Answer

Explanation →

Q7:

JIPMAT 2022

Algebra

>

Indices

Hard

Q7:

\frac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2 \sqrt{15}}}+\frac{\sqrt{11+2 \sqrt{30}}}{\sqrt{6}-\sqrt{5}}

25+\sqrt{10}+2 \sqrt{30}

40+\sqrt{10}+2 \sqrt{30}

30+\sqrt{20}+2 \sqrt{30}

15+\sqrt{15}+2 \sqrt{30}

Correct Answer

Option: 4

Correct Answer

Explanation →

Q8:

JIPMAT 2021

Algebra

>

Indices

Conceptual

Q8:

If

2^{x} = 3^{y} = 6^{-z}

, then

(\frac{1}{x} + \frac{1}{y} + \frac{1}{z})

is equal to

0

1

2

4

Correct Answer

Option: 1

Correct Answer

Explanation →

Q9:

Rohtak 2020

Algebra

>

Indices

Easy

Q9:

What is the square root of 99999?

316.23

316.22

316.21

316.2

Correct Answer

Option: 2

Correct Answer

Explanation →

Q10:

Rohtak 2020

Algebra

>

Indices

Medium

Q10:

What is the cube root of 55555?

38.17

38.16

38.15

38.14

Correct Answer

Option: 3

Correct Answer

Explanation →

Q11:

Rohtak 2019

Algebra

>

Indices

Conceptual

Q11:

Simplification:

25^{2.7} \times 5^{4.2} \div 5^{5.4} = ?

5^4

5^{3.2}

5^{4.1}

5^{4.2}

Correct Answer

Option: 4

Correct Answer

Explanation →

Indices - Past Year Questions

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Indices - Past Year Questions (Free PDF Download)