Really need to hack this one. Where did I go wrong on this one ?

DS Factors & Multiples problems are usually hard to crack. So really wanna understand whats happening below.

**Source: MGMAT2**

Level: 700-800

Level: 700-800

Q. When the positive integer x is divided by 4, is the remainder equal to 3?

(1) When x/3 is divided by 2, the remainder is 1.

(2) x is divisible by 5.

Their answer: E

My Answer: C

Their Explanation : Available if needed

My Explanation : Below

**S1:**When x/3 is divided by 2, the remainder is 1.

Which is another way of saying that x/6 leaves a remainder of 1(Is this correct). So...

Multiples of 6 = 0 6 12 18 24 30 36

x can be = 1 7 13 19 25 31 37

Remainder of x/4 = 1 3 1 3 1 3 1

So Insufficient

**S2:**x is divisible by 5

x can be = 0 5 10 15 20 25 30 35

Remainder of x/4 = 0 1 2 3 0 1 2 3

**S12:**

Overlap of S1 and S2 = 25,60,....

Remainder of x/4 = 1

Why is [C] not the answer?

Regards,

Ash