Aptitude - Surds and Indices

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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

Answer: Option D

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

Answer: Option C

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

Answer: Option C

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

Answer: Option A

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

Answer: Option C

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.