If x and y are non-zero integers such that 3x = 2y, then which of the

Question

If x and y are non-zero integers such that 3x = 2y, then which of the following must be true?

I. y/x > 1

II. xy is positive

III. x - y is positive

A. I
B. II
C. Both I & II
D. Both II & III
E. None of these

siddhantvarma · Answer

farha_01  Can you post the official explanation? I'm unable to understand how  C. Both I & II  is incorrect.

Matthewjd24 · Answer

Interested to hear how y/x could be < 1 since y/x = 3/2 ??

geovanni · Answer

I. y/x > 1

From the given equation 3x = 2y, we can divide both sides by x to get:

3 = 2(y/x)

Dividing both sides by 2 gives us:

3/2 = y/x

Since 3/2 is greater than 1, we can conclude that y/x > 1.

II. xy is positive

This statement is not necessarily true. If x and y have opposite signs, their product will be negative. For example, if x = -3 and y = 2, then xy = -6.

III. x - y is positive

=> Answer is  A

Bunuel · Answer

C is correct.

If x and y are non-zero integers such that 3x = 2y, then which of the following must be true?

I. y/x > 1

II. xy is positive

III. x - y is positive

A. I
B. II
C. Both I & II
D. Both II & III
E. None of these3x = 2y gives y/x = 3/2 = 1.5. So, I is true. Since y/x = 1.5 (positive), x and y must have the same sign, meaning II is true. However, x = 2 and y = 3 gives x - y = -1, so III is not necessarily true.

Answer: C.

If x and y are non-zero integers such that 3x = 2y, then which of the

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

­If x and y are non-zero integers such that 3x = 2y, then which of the

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

If x and y are non-zero integers such that 3x = 2y, then which of the