Is positive integer \(x\) divisible by \(48?\)

[VJesus12]

Is positive integer \(x\) divisible by \(48?\)

(1) \(x\) is divisible by \(8.\)

(2) \(x\) is divisible by \(6.\)

Answer: E

Source: Veritas Prep

[Brent@GMATPrepNow]

Is positive integer \(x\) divisible by \(48?\)

(1) \(x\) is divisible by \(8.\)

(2) \(x\) is divisible by \(6.\)

Answer: E

Source: Veritas Prep

Target question: Is positive integer x divisible by 48?

When I scan the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the target question. So, I’m going to head straight to……

Statements 1 and 2 combined
Statement 1 tells us that x is divisible by 8.
Statement 2 tells us that x is divisible by 6
There are many values of x that satisfy BOTH statements. Here are two:
Case a: x = 48. In this case, the answer to the target question is YES, x is divisible by 48
Case b: x = 24. In this case, the answer to the target question is NO, x is not divisible by 48

Answer: E

Cheers,
Brent