If \frac{p^5}{q} 0, then which of the following must be less than 1?

If \frac{p^5}{q} < 0 and \frac{q^3}{r} > 0, then w... | Free GMAT Practice Question | GMAT Panda

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GMAT Quant — Quant (Inequalities)

If \frac{p ^{5}}{q} < 0 and \frac{q ^{3}}{r} > 0, then which of the following must be less than 1?

Explanation	Calculations	Help
$Statement I: From the inequality \frac{p ^{5}}{q} < 0 we know that p^{5} and q have opposite signs, and since p^{5} has the same sign as p, p and q have opposite signs.$	$\frac{p ^{5}}{q} < 0$	Theory & Tactics Method Card INEQ2-A Click to view full details
$Statement II: From the inequality \frac{q ^{3}}{r} > 0 we know that q^{3} and r have the same sign, and since q^{3} has the same sign as q, q and r have the same sign.$	$\frac{q ^{3}}{r} > 0$	Theory & Tactics Method Card INEQ2-C Click to view full details
$Because p has the opposite sign to q, the ratio \frac{q}{p} is negative, and any negative number is less than 1.$	$\frac{q}{p} < 0$
$A negative number is always less than 1.$	$\frac{q}{p} < 1$

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B

GMAT Quant — Quant (Inequalities)

If \frac{p ^{5}}{q} < 0 and \frac{q ^{3}}{r} > 0, then which of the following must be less than 1?

Explanation	Calculations	Help
$Statement I: From the inequality \frac{p ^{5}}{q} < 0 we know that p^{5} and q have opposite signs, and since p^{5} has the same sign as p, p and q have opposite signs.$	$\frac{p ^{5}}{q} < 0$	Theory & Tactics Method Card INEQ2-A Click to view full details
$Statement II: From the inequality \frac{q ^{3}}{r} > 0 we know that q^{3} and r have the same sign, and since q^{3} has the same sign as q, q and r have the same sign.$	$\frac{q ^{3}}{r} > 0$	Theory & Tactics Method Card INEQ2-C Click to view full details
$Because p has the opposite sign to q, the ratio \frac{q}{p} is negative, and any negative number is less than 1.$	$\frac{q}{p} < 0$
$A negative number is always less than 1.$	$\frac{q}{p} < 1$

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B