Hi,

The most efficient way to solve like these remainder question is write down few initial values, you can figure out the answer.

Question: Remainder, when x is divided by 9?

That is, x = 9* q + R?

What is the value of R?

Statement I is sufficient:

x = 27*k + 4.

Since 27 is divisible by 9, remainder has to be 4.

Otherwise just write down few values here,

4, 31, 58, 85….

All these above values when divided by 9 leaves the remainder 4.

So, statement I is sufficient.

Statement II is insufficient:

x= 4*m+1

So, the values could be,

1, 5, 9, 13, 17, …

So, you can see that in above values remainder keep changing when divided by 9.

So, not sufficient.

So, answer is A.

Hope this helps.

I too think the answer has to be A.

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