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Bunuel
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Bunuel
The positive integer m is three times the positive integer n. Which of the following could be the value of m + n?

I. 216
II. 314
III. 1,048

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) II and III only

\(m = 3*n => m + n = 4*n\)

Any number that is a multiple of 4 will satisfy the question. Trying out the number only I and III satisfy this condition => Answer (D)
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m=3n

m+n = 3n+n = 4n

216,1048 are multiples of 4

\(Answer: D.\)
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Bunuel
The positive integer m is three times the positive integer n. Which of the following could be the value of m + n?

I. 216
II. 314
III. 1,048

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) II and III only

(m + n) must be divisible by 4 , among the given options only (D) fits in , hence this is our Answer.
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Bunuel
The positive integer m is three times the positive integer n. Which of the following could be the value of m + n?

I. 216
II. 314
III. 1,048

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) II and III only

We can let m = 3n, so m + n = 3n + n = 4n. Thus, a correct answer must be a multiple of 4.

Looking at the Roman numerals, only 216 and 1,048 are multiples of 4, so I and III are correct.

Answer: D
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Has to be a multiple of 4. Hence option D
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Here, m=3n so, 3n+n=4n. The value must be divisible by 4. 314 is not divisible by 4. Hence, the answer is D.
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