ABC26GN2001 · Surds and Indices

Subject: General Aptitude · Chapter: Surds and Indices · Exam: · Marks: · Difficulty:

21? × 216.5 = 2112.4 [United India Insurance Co. Ltd., UIICL—Assistant (Online) Exam, 2015]
(a)18.9 2
(b)4.4 4
(c)5.9 6
(d)13.4 5.4 ÷ 3 × 16 + 2 121. 18 ÷ 5 × 6 ÷ 3 [United India Insurance Co. Ltd., UIICL—Assistant (Online) Exam, 2015] 8 ( ) × 64 ÷ ( 216 × 10 −4 ) = 10? −5 −2
Answer
Answer (as printed): C
Explanation
21 × 21 6.5 = 2112.4 { am × an = am+n} ?+ 6.5 ⇒ 21 = 2112.4 ⇒ ? + 6.5 = 12.4 ⇒ ? = 12.4 – 6.5 = 5.9 5.4 ÷ 3 × 16 ÷ 2 121. 18 ÷ 5 × 6 ÷ 3 5.4 16 × = 3 2 = 1.8 × 8 = 2 18 6 × 3.6 × 2 5 3 ( 32 × 10 −5 ) × 64 ÷ ( 216 × 10 −4 ) = 10? 2 122. ( ) × 2 6 ÷ ( 216 × 10 −4 ) = 10?  (am ) = amn  2 n ⇒ 2 5 × 10 −5 2 10 × 10 −10 × 2 6 ⇒ 16 2 × 10 −4 = 10 ? { a × a = a } m n m+n 2 16 × 10 4  −m 1  ⇒ = 10 ?  a = m  2 16 × 10 10  a  ⇒ 104–10 = 10? ⇒ 10–6 = 10? ⇒?=–6

Explanation as extracted from the printed page; notation may be imperfect.

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