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Surds & Indices - MCQ 1


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15 Questions MCQ Test Quantitative Ability for SSC CHSL | Surds & Indices - MCQ 1

Surds & Indices - MCQ 1 for Quant 2022 is part of Quantitative Ability for SSC CHSL preparation. The Surds & Indices - MCQ 1 questions and answers have been prepared according to the Quant exam syllabus.The Surds & Indices - MCQ 1 MCQs are made for Quant 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Surds & Indices - MCQ 1 below.
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Surds & Indices - MCQ 1 - Question 1

(17)3.5 x (17)? = 178

Detailed Solution for Surds & Indices - MCQ 1 - Question 1

Let (17)3.5 x (17)x = 178.

Then, (17)3.5 + x = 178.

∴ 3.5 + x = 8

⇒ x = (8 – 3.5)

⇒ x = 4.5

Surds & Indices - MCQ 1 - Question 2

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Surds & Indices - MCQ 1 - Question 3

Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:

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Surds & Indices - MCQ 1 - Question 4

If 5a = 3125, then the value of 5(a – 3) is:

Detailed Solution for Surds & Indices - MCQ 1 - Question 4

5a = 3125    ⇔    5a = 55

⇒ a = 5.

∴ 5(a – 3) = 5(5 – 3) = 52 = 25.

Surds & Indices - MCQ 1 - Question 5

If 3(x – y) = 27 and 3(x + y) = 243, then x is equal to:

Detailed Solution for Surds & Indices - MCQ 1 - Question 5

3x – y = 27 = 33    ⇔    x – y = 3 ….(i)

3x + y = 243 = 35    ⇔    x + y = 5 ….(ii)

On solving (i) and (ii), we get x = 4.

Surds & Indices - MCQ 1 - Question 6

(256)0.16 x (256)0.09 = ?

Detailed Solution for Surds & Indices - MCQ 1 - Question 6

(256)0.16 x (256)0.09 = (256)(0.16 + 0.09)

   = (256)0.25

   = (256)(25/100)

   = (256)(1/4)

   = (44)(1/4)

   = 44(1/4)

   = 41

   = 4

Surds & Indices - MCQ 1 - Question 7

The value of [(10)150 ÷ (10)146]

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Surds & Indices - MCQ 1 - Question 8

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Surds & Indices - MCQ 1 - Question 9

(25)7.5 x (5)2.5 ÷ (125)1.5 = 5?

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Surds & Indices - MCQ 1 - Question 10

(0.04)-1.5 = ?

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Surds & Indices - MCQ 1 - Question 11

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Surds & Indices - MCQ 1 - Question 12

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Surds & Indices - MCQ 1 - Question 13

If m and n are whole numbers such that mn = 121, the value of (m – 1)n + 1 is:

Detailed Solution for Surds & Indices - MCQ 1 - Question 13

We know that 112 = 121.

Putting m = 11 and n = 2, we get:

(m – 1)n + 1 = (11 – 1)(2 + 1) = 103 = 1000.

Surds & Indices - MCQ 1 - Question 14

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Surds & Indices - MCQ 1 - Question 15

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