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Aptitude - Surds and Indices

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Exercise : Surds and Indices - General Questions
1.
(17)3.5 x (17)? = 178
2.29
2.75
4.25
4.5
Answer: Option
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
1
2
1
2
7
2
Answer: Option
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:
1.45
1.88
2.9
3.7
Answer: Option
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:
25
125
625
1625
Answer: Option
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:
0
2
4
6
Answer: Option
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.

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