# Aptitude - Surds and Indices

## Why Aptitude Surds and Indices?

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## Where can I get Aptitude Surds and Indices Interview Questions and Answers (objective type, multiple choice)?

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## How to solve Aptitude Surds and Indices problems?

You can easily solve all kind of Aptitude questions based on Surds and Indices by practicing the objective type exercises given below, also get shortcut methods to solve Aptitude Surds and Indices problems.

### Exercise :: Surds and Indices - General Questions

1.

(17)3.5 x (17)? = 178

 A. 2.29 B. 2.75 C. 4.25 D. 4.5

Explanation:

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

2.

 If a x - 1 = b x - 3 , then the value of x is: b a

A.
 1 2
B. 1
C. 2
D.
 7 2

Explanation:

 Given a x - 1 = b x - 3 b a

 a x - 1 = a -(x - 3) = a (3 - x) b b b

x - 1 = 3 - x

2x = 4

x = 2.

3.

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

 A. 1.45 B. 1.88 C. 2.9 D. 3.7

Explanation:

xz = y2       10(0.48z) = 10(2 x 0.70) = 101.40

0.48z = 1.40

 z = 140 = 35 = 2.9 (approx.) 48 12

4.

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

 A. 25 B. 125 C. 625 D. 1625

Explanation:

5a = 3125       5a = 55

a = 5.

5(a - 3) = 5(5 - 3) = 52 = 25.

5.

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

 A. 0 B. 2 C. 4 D. 6

Explanation:

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.