100+ Surds and Indices Aptitude Questions and Answers - 2

Question: 6

If 10x = $${1}/{2}$$ , then 10-8x = ?

(A) 8

(B) 16

(C) 256

(D) 312

Ans: C

10-8x = (10x)-8 = $$({1}/{2})$$-8 = 28 = 256.

Question: 7

(64)4 ÷ (8)5 = ?

(A) (8)2

(B) (8)3

(C) (8)8

(D) (8)12

Ans: A

(64)4 ÷ (8)5 = (82)4 ÷ (8)5 = (8)(2×4) ÷ 85 = $${8^8} / {8^5}$$ = 8(8-5) = 83.

Question: 8

(2.4 × 103) ÷ (8 × 10-2) = ?

(A) 3 × 10-5

(B) 3 × 104

(C) 3 × 105

(D) 30

Ans: B

Question: 9

(3)8 × (3)4 = ?

(A) (27)3

(B) (27)5

(C) (729)2

(D) (729)3

Ans: C

38 × 34 = 3(8 + 4) = 312 = (36)2 = (729)2.

Question: 10

If ax = b, by = c and cz = a, then the value of xyz is

(B) 1

(C) ab

(D) abc

Ans: B

a1 = cz = (by)z = byz = (ax)yz = axyz ⇒ xyz = 1.

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