GATE EC 2016 Set 2 — Question 4
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
Given , which one of the following statements is TRUE?
Correct answer
(C) 9 inches = 0.25 yards
Solution
The given statement is .
To remove the square root, we can square both sides of the equation:
Now, let's check the given options:
(A)
If , then . This option is incorrect.(B)
This contradicts our derived statement . This option is incorrect.(C)
This statement is exactly what we derived from the given information. This option is correct.(D)
If , then . This option is incorrect.Thus, the only true statement is (C).
To remove the square root, we can square both sides of the equation:
Now, let's check the given options:
(A)
If , then . This option is incorrect.(B)
This contradicts our derived statement . This option is incorrect.(C)
This statement is exactly what we derived from the given information. This option is correct.(D)
If , then . This option is incorrect.Thus, the only true statement is (C).
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