Examveda
Examveda

Solve (41.992 - 18.042) ÷ ? = 13.112 - 138.99

A. 48

B. 12

C. 72

D. 84

E. 128

Answer: Option A

Solution(By Examveda Team)

{(41.99)2 - (18.04)2} ÷ ? = (13.11)2 - 138.99
⇒ {(42)2 - (18)2} ÷ ? = (13)2 - 139 {∵ a2 - b2 = (a + b) (a - b)}
⇒ {(42 + 18) (42 - 18)} ÷ ? = 169 - 139
⇒ 60 × 24 ÷ ? = 30
⇒ ? = $$\frac{60 × 24}{30}$$
⇒ ? = 48

This Question Belongs to Arithmetic Ability >> Decimal Fraction

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