Is 3 a factor of the integer x? (1) 3 is a factor of 5x (2) 3 is a fac

Question

Is 3 a factor of the integer x?

(1) 3 is a factor of 5x

(2) 3 is a factor of 6x

KSBGC · Answer

Statement 1: 5 is not divisible by 3. So 3 must be the factor of x. Sufficient.

Statement 2: 6 is divisible by 3. So regardless of the value of x , 6x is an integer. Not sufficient.

Archit3110 · Answer

from 1:

3 to be a factor of 5x ; it has to be a factor of x so sufficient

from 2 6x : 6 is already a factor of 3 so x may or may not be a factor of 3 .. not sufficient

IMO A

Mo2men · Answer

(1) 3 is a factor of 5x

As 3 is not factor of 5, then 3 must be factor of x

Sufficient

(2) 3 is a factor of 6x

Let x =1.......3 is a factor of 6........ but 3 is not factor of 1........Answer is No

Let x =3.......3 is a factor of 18........ but 3 is not factor of 1........Answer is Yes

Insufficient

Answer: A

Prep Toolkit