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: 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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