What is the remainder when 25 is divided by positive integer

[LindsayH291]

What is the remainder when 25 is divided by positive integer j?

(1) j is even.

(2) j < 9

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

Hi All,

I have a question regarding how the question is phrased. When the question asks for the remainder, how do you know when to find the "r" value vs. find the actual remainder value? If we fast forwarding to solving both statements together, then:
1. When j = 2: r = 1 and divisor = 2. r/d = 1/2, where r = 1, but the actual remainder value = 0.5
2. When j = 4: r = 1 and divisor = 4. r/d = 1/4, where r = 1, but the actual remainder value = 0.25

In the CAT question, the correct answer is just looking for the 'r' value, e.g., r = 1; however, the actual remainder values are different. Is it safe to just assume that whenever the question asks for remainder, it's just looking for the 'r' value in the "remainder divided by divisor" equation, instead of the actual remainder value? I selected answer (E), because the actual remainder values were different between 1/2 and 1/4.

The correct answer to this problem is (C).

Thanks for your help!

[RonPurewal]

the "remainder" is defined as the integer value.
the word "remainder" is NEVER used for the decimal/fraction part.

[LindsayH291]

Thanks, Ron! I think this was a classic example of me overthinking things.

[RonPurewal]

you're welcome.