100+ Surds and Indices Questions for Bank Exams Pdf - 1
Question: 1
49 × 49 × 49 × 49 = 7?
(A) 4
(B) 7
(C) 8
(D) 16
Ans: C
8-25 - 8-26 = $$({1/8^25 – {1/8^26})$$ = $${(8 - 1)}/ {8}^26$$ = 7 × 8-26.
Question: 2
If 2n + 4 - 2n + 2 = 3, then n is equal to
(B) 2
(C) -1
(D) -2
Ans: D
2n + 4 - 2n + 2 = 3
⇔ 2n + 2 (22 - 1) = 3
⇔ 2n + 2 = 1 = 20
⇔ n + 2 = 0
⇔ n = - 2.
Question: 3
21? × 216.5 = 2112.4
(A) 4.4
(B) 5.9
(C) 13.4
(D) 18.9
Ans: B
21? × 216.5 = 2112.4
{∴ am × an = am + n}
⇒ 21? + 6.5 = 2112.4
⇒ ? + 6.5 = 12.4
⇒ ? = 12.4 – 6.5 = 5.9.
Question: 4
$${16 × 32} / {9 × 27 × 81}$$ = ?
(A) $$({2}/{3})^9$$
(B) $$({2}/{3})^11$$
(C) $$({2}/{3})^12$$
(D) $$({2}/{3})^13$$
Ans: A
$${16 × 32} / {9 × 27 × 81}$$
= $${2^4 × 2^5} / {3^2 × 3^3 × 3^4}$$
= $${2}^(4 + 5) / {3}^(2 + 3 + 4)$$
= $${2}^9/{3}^9$$
= $$({2}/{3})^9$$.
Question: 5
$${5.4 ÷ 3 × 16 + 2}/ {18 ÷ 5 × 6 ÷ 3}$$
(A) 2
(B) 3
(C) 4
(D) 5
Ans: A
$${5.4 ÷ 3 × 16 ÷ 2}/ {18 ÷ 5 × 6 ÷ 3}$$
= $${5.4 /3 × 16/2} / {18/5 × 6/3}$$
= $${1.8 × 8} / {3.6 × 2}$$ = 2.
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