Project ForgeGeneral Aptitude
Quantitative Aptitude
GATE 2016
Hard
If q^(-a) = 1/r and r^(-b) = 1/s and s^(-c) = 1/q, the value of abc is ____.
- A(rqs)^(-1)
- B0
- 1
- Dr+q+s
Explanation
q^(-a) = 1/r means r = q^a. r^(-b) = 1/s means s = r^b = (q^a)^b = q^(ab). s^(-c) = 1/q means q = s^c = (q^(ab))^c = q^(abc). So q^1 = q^(abc), giving abc = 1.
Source: GATE ME 2016 Set-1 (2016)
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