Which of the following values of x would satisfy the inequality x>1 ? I) x=\frac{1^2}{2^3} II) x=-\frac{4^2}{3^2} III) x=-\frac{1^2}{3^{-2}}

Correct Answer is : II and III only

GMAT Quantitative Reasoning Practice Test 1

Question : 71 of 100

Marks: +1, -0

Which of the following values of

x

would satisfy the inequality

x>1

?
I)

x=\;{1^2}/{2^3}

II)

x=-\;{4^2}/{3^2}

III)

x=-\;{1^2}/{3^{-2}}

I only
II only
II and III only
I and III only
I, II, and III

Validate

Solution:

Statement I simplifies to

1 / 8

, which is less than 1 . Statement II simplifies to

16 / 9

, which is greater than 1 . In statement III, you need to take the reciprocal of the fraction inside the parentheses (because the exponent is negative) and then evaluate using an exponent of 2 . This results in

(-3)^2=9

, which is also greater than 1 . Both statements II and III would satisfy the inequality

x>1

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