If \frac{m^2}{n} > 0 and \frac{n^5}{p} < 0, then w... | Free GMAT Practice Question | GMAT Panda

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GMAT Quant — Quant (Inequalities)

If \frac{m ^{2}}{n} > 0 and \frac{n ^{5}}{p} < 0, then which of the following must be less than 1?

Explanation	Calculations	Help
$Statement I: From the first inequality, we deduce the sign of n .$	$m^{2} > 0 From \frac{m ^{2}}{n} > 0 and m^{2} > 0 we have n > 0$	Theory & Tactics Method Card INEQ2-C Click to view full details
$Statement II: From the second inequality, we deduce the sign of p .$	$n^{5} > 0 From \frac{n ^{5}}{p} < 0 and n^{5} > 0 we have p < 0$	Theory & Tactics Method Card INEQ2-A Click to view full details
$Next, we evaluate the sign of the expression in option B.$	$p < 0 Since p < 0 and exponent is odd, p^{3} < 0 And m^{2} > 0, n > 0 so m^{2} n p^{3} < 0 Any negative number is less than 1$	Theory & Tactics Method Card PN2-C Click to view full details

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B

GMAT Quant — Quant (Inequalities)

If \frac{m ^{2}}{n} > 0 and \frac{n ^{5}}{p} < 0, then which of the following must be less than 1?

Explanation	Calculations	Help
$Statement I: From the first inequality, we deduce the sign of n .$	$m^{2} > 0 From \frac{m ^{2}}{n} > 0 and m^{2} > 0 we have n > 0$	Theory & Tactics Method Card INEQ2-C Click to view full details
$Statement II: From the second inequality, we deduce the sign of p .$	$n^{5} > 0 From \frac{n ^{5}}{p} < 0 and n^{5} > 0 we have p < 0$	Theory & Tactics Method Card INEQ2-A Click to view full details
$Next, we evaluate the sign of the expression in option B.$	$p < 0 Since p < 0 and exponent is odd, p^{3} < 0 And m^{2} > 0, n > 0 so m^{2} n p^{3} < 0 Any negative number is less than 1$	Theory & Tactics Method Card PN2-C Click to view full details

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B