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# If m and n are positive integers, what is the remainder when m is divi

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Manager
Joined: 22 Feb 2018
Posts: 246
If m and n are positive integers, what is the remainder when m is divi  [#permalink]

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01 Aug 2018, 05:08
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Difficulty:

55% (hard)

Question Stats:

57% (01:21) correct 43% (00:57) wrong based on 28 sessions

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If $$m$$ and $$n$$ are positive integers, what is the remainder when $$m$$ is divided by $$n$$?

(1) $$\frac{m}{n} = 12.64$$
(2) $$n < 50$$

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Manager
Joined: 28 Jun 2018
Posts: 84
If m and n are positive integers, what is the remainder when m is divi  [#permalink]

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01 Aug 2018, 05:44
Good question

statement 1 : m/n = 12.64 ,

we know m & n both are integers , therefore 12.64 * n = m (integer value)
if we convert 12.64 into fraction we get = 1264/100 = 316/25
so n can be any multiple of 25,
n= 25,50,75, 100.......
therefore m = 316 , 632, 948 , 1264.....
remainder = 16 , 32 , 48....... ---> Insufficient

Statement 2 : n<50
we cannot determine value of m ----> Insufficient

statement 1 & 2 together , we get n=25 and m= 316 ----> Sufficient

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If m and n are positive integers, what is the remainder when m is divi &nbs [#permalink] 01 Aug 2018, 05:44
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