8 votes 8 votes Given $(9 \text{ inches}) ^{\frac{1}{2}} = (0.25\text{ yards}) ^{\frac{1}{2}},$ which one of the following statements is TRUE? $3$ inches = $0.5$ yards $9$ inches = $1.5$ yards $9$ inches = $0.25$ yards $81$ inches = $0.0625$ yards Quantitative Aptitude gate2016-ec-2 quantitative-aptitude quadratic-equations + – makhdoom ghaya asked Jan 20, 2017 makhdoom ghaya 2.3k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Rupendra Choudhary commented Jan 29, 2018 reply Follow Share Option D :- $81$ $(inches)^{2}$$=$$.0625$$(yards^{2})$ 0 votes 0 votes Praful Borkar commented Oct 5, 2021 reply Follow Share But there is no option like (inches)² or (yards)² 0 votes 0 votes Please log in or register to add a comment.
Best answer 4 votes 4 votes 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. akankshadewangan24 answered May 4, 2017 selected Jun 1, 2019 by Arjun akankshadewangan24 comment Share Follow See all 3 Comments See all 3 3 Comments reply Kumar Adi commented Dec 4, 2019 reply Follow Share What is wrong with the option a? 0 votes 0 votes KUSHAGRA गुप्ता commented Dec 23, 2019 reply Follow Share @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 11 votes 11 votes Kumar Adi commented Dec 23, 2019 reply Follow Share @Kushagra गुप्ता got it....thanks 0 votes 0 votes Please log in or register to add a comment.