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If xy is not equal to zero, what is the ratio of x to y?

Expert replies
Source: — Data Sufficiency |

by Brent@GMATPrepNow » Thu Nov 15, 2018 5:26 pm
BTGmoderatorDC wrote:If xy is not equal to zero, what is the ratio of x to y?

1. 3x = 4y
2. x = 4
NOTE: We can write the ratio x:y as a fraction x/y

Target question: What is the value of x/y ?

Statement 1: 3x = 4y
Divide both sides by y to get: 3x/y = 4
Divide both sides by 3 to get: x/y = 4/3
So, the answer to the target question is x/y = 4/3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x = 4
With no information about y, we cannot determine the value of x/y
Statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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