100+ Surds and Indices Aptitude Questions and Answers - 1
Question: 1
[43 × 54] ÷ 45 = ?
(A) 39.0625
(B) 35.6015
(C) 30.0925
(D) 29.0825
Ans: A
$${4^3 × 5^4 } / {4^5 }$$ = $${5^4 } /{4^(5 – 3)}$$ = $${5^4 } /{4^2} $$ = $${625} / {16}$$ = 39.0625.
Question: 2
(10)24 × (10)-21 = ?
(A) 10
(B) 100
(C) 1000
(D) 10000
Ans: C
(10)24 × (10)-21 = 10(24 - 21) = 103 = 1000.
Question: 3
If 5a = 3125, then the value of 51 - 3 is
(A) 15
(B) 25
(C) 125
(D) 625
Ans: B
5a = 3125 = 55⇒ a = 5 ⇒ 5(a – 3) = 5(5 - 3) = 52 = 25.
Question: 4
If m and n are whole numbers such that mn = 121, then the value of (m – 1)n + 1 is
(A) 1
(B) 10
(C) 100
(D) 1000
Ans: D
We know that 112 = 121.
Putting m = 11 and n = 2, we get
(m – 1)n + 1 = (11 - 1)(2 + 1) = 103 = 1000.
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