What will be the value of 'a + b' in the following…

What will be the value of 'a + b' in the following equation?

[4(3 + {9 × 6 ÷ 3 + {12 ÷ (1 ÷ 1 × 3)}})] = 5^a× 2^b

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 4.

Understanding
Given equation: [4(3 + {9 × 6 ÷ 3 + {12 ÷ (1 ÷ 1 × 3)}})] = 5^a× 2^b [4(3 + {18 + 4})] = 5^a× 2^b [4(25)] = 5^a× 2^b 100 = 5^a× 2^b 5²× 2² = 5^a× 2^b ⇒a = 2 and b = 2 The value of a + b = 2 + 2 = 4 Hence, option 4 is the correct answer.

Understanding

Given equation: [4(3 + {9 × 6 ÷ 3 + {12 ÷ (1 ÷ 1 × 3)}})] = 5^a× 2^b

[4(3 + {18 + 4})] = 5^a× 2^b

[4(25)] = 5^a× 2^b

100 = 5^a× 2^b

5²× 2² = 5^a× 2^b

⇒a = 2 and b = 2

The value of a + b = 2 + 2 = 4

Hence, option 4 is the correct answer.

SSC CHSL 2020 PYQ — Question 95