Project ForgeGeneral Aptitude
Quantitative Aptitude
GATE 2016
Medium
Given (9 inches)^(1/2) = (0.25 yards)^(1/2), which one of the following statements is TRUE?
- A3 inches = 0.5 yards
- B9 inches = 1.5 yards
- 9 inches = 0.25 yards
- D81 inches = 0.0625 yards
Explanation
Since both sides are raised to the same power (1/2) and principal square roots are unique for non-negative reals, the equality of the roots implies the equality of the original quantities: 9 inches = 0.25 yards. This also checks out physically: 1 yard = 36 inches, so 0.25 yards = 9 inches.
Source: GATE ME 2016 Set-3 (2016)
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