Is 96 divisible by integer x? (1) x is divisible by 8. (2) x

Question

Is 96 divisible by integer x?

(1) x is divisible by 8.
(2) x is divisible by 12.

Please provide info how to calculate correct ans, without pluging in values

maliyeci · Answer

E
x can be divided by 12 and 8 both. But there can be any dividend of x, say y. Then we can not say anything about x.

yezz · Answer

96 = 3*2^5

from 1

x = 2^3*b( b is a +ve intiger) , 3*2^5/ 2^3*b = 3*2^3 / b ...depends on b....insuff

from 2

x = 2^2*3*a , 3*2^5/2^2*3*a = 2^3/a...depends on a... isnuff

both

x = 2^3*3*m thus 3*2^5/2^3*3*m = 2^2/m depends on m

i d say E

flyingbunny · Answer

just suppose x=192

then you will get answer E

gulatin2 · Answer

My Answer would be E

Prime Factorization of 96 = 2^5 x 3

If x is divisible by 8 , then 2^3 is a factor of x . Considering 40 ( 40/8 = 5 but 96/40 non-integer ) which means Stmt 1 is not sufficient

If x is divisible by 12 then 2^2 x 3 are factors of x . Considering 36 ( 36/12 = 3 but 96/36 non - integer) which means Stmt 2 is not sufficient.

Considering both statements 1 &2 together so that x is divisible by both 8 & 12 . Can it a factor of 96 .

Considering 72 which is divisible by both 8 & 12 , but it can not divide 96.

Based on all this information , one can conclude answer to this question as E

Prep Toolkit