GATE2016 EC-2: GA-4

Question

Given $(9 \text{ inches}) ^{\frac{1}{2}} = (0.25\text{ yards}) ^{\frac{1}{2}},$ which one of the following statements is TRUE?

• A. $3$ inches = $0.5$ yards
• B. $9$ inches = $1.5$ yards
• C. $9$ inches = $0.25$ yards
• D. $81$ inches = $0.0625$ yards

Comments

Option D :- $81$ $(inches)^{2}$$=$$.0625$$(yards^{2})$

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But there is no option like (inches)² or (yards)²

Answer 1

It is so simple 😊, squaring LHS and RHS we get

$9 \text{ inches} = 0.25 \text{ yards}$

Option D is wrong, because when we square once more we get

$81\textbf{ inches}^2 = 0.0625\textbf{ yards}^2$

Correct Option: C.

Comments

What is wrong with the option a?

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@Kumar Adi

Why not A ? Because:

$\sqrt {9\ inches}=\sqrt {0.25\ yards}$

$3\sqrt {inches}=0.5\sqrt {yards}$

Which is not matching with option A

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@Kushagra गुप्ता got it....thanks