If a, b, c are non-zero and 14a = 36b = 84c, then 6b1c-1a is equal to
Explanation:
Assuming, k = 14a = 36b = 84c
⇒ 14 = k1/a
⇒ 36 = 62 = k1/b or 6 = k1/2b
⇒ 84 = k1/c
We know, 84 = 6 × 14
⇒ k1/c = k1/2b × k1/a
⇒ k1/c – 1/a = k1/2b
⇒ 1c-1a=12b
⇒ 2b1c-1a = 1
Hence, 6b1c-1a = 3
Hence, 3.
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.