Surds and Indices - Aptitude Questions and Answers Part 2

6. (256)0.16 * (256)0.09 = ?

a. 4
b. 16
c. 64
d. 256.25

Answer: a. 4


7. Given a = 3 + 2√2. Find (√a - 1/√a).

a. 1
b. 2
c. 2√2
d. 3√3

Answer: b. 2


8. (xb/xc)(b + c - a) * (xc/xa)(c + a - b) * (xa/xb)(a + b - c) = ?

a. 1
b. xab + bc + ca
c. xa + b + c
d. xabc

Answer: a. 1


9. Given: Two whole numbers x and y, such that xy = 121.
Find the value of (x - 1)y + 1


a. 1
b. 10
c. 121
d. 1000

Answer: d. 1000