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The positive integer m is three times the positive integer n. Which of

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The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 22 Mar 2018, 23:48
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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

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The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 23 Mar 2018, 00:23
Bunuel wrote:
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


Here, the positive integer m is 3 times the positive integer n(i.e) m = 3n
The sum of m and n is 3n+n = 4n. Since we need to check which of the
numbers could be the value of m+n, we need to check which number is
divisible by 4.

Of the numbers, 216 and 1048 is divisible by 4, but 314 is not divisible

Therefore, Option D(I and III only) is the answer
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Re: The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 23 Mar 2018, 00:26
Bunuel wrote:
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=3n

m+n = 3n+n = 4n

so mulitples of 4

216,1048 are multiples of 4

(D) imo
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The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 23 Mar 2018, 10:17
Bunuel wrote:
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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Re: The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 24 Mar 2018, 00:40
m=3n

m+n = 3n+n = 4n

216,1048 are multiples of 4

\(Answer: D.\)
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Re: The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 24 Mar 2018, 07:46
Bunuel wrote:
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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Re: The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 26 Mar 2018, 17:45
Bunuel wrote:
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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Re: The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 13 Apr 2018, 04:51
Has to be a multiple of 4. Hence option D
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Re: The positive integer m is three times the positive integer n. Which of  [#permalink]

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New post 13 Apr 2018, 22:34
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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Re: The positive integer m is three times the positive integer n. Which of &nbs [#permalink] 13 Apr 2018, 22:34
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