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Re: If the remainder is 1 when m is divided by 2 and the remainder is 3 [#permalink]

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02 Jun 2017, 22:19

It is clear from the question that both m and n are odd and not even - if m was even - the remainder with 2 would be zero. and if n was even - it will either leave a remainder of 2 or 0 with four. This rules out option A and B. D and E are rejected as the product or quotient of two odd numbers will be odd. However, odd + odd = even, hence Answer C

Re: If the remainder is 1 when m is divided by 2 and the remainder is 3 [#permalink]

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03 Jun 2017, 02:21

f the remainder is 1 when m is divided by 2 and the remainder is 3 when n is divided by 4, which of the following must be true? f the remainder is 1 when m is divided by 2 -m=2x+1 (odd ) remainder is 3 when n is divided by 4 -n=4y+3 -n=4Y+2+1 n=2(2y+1)+1 odd m is an odd no , n is an odd no

Re: If the remainder is 1 when m is divided by 2 and the remainder is 3 [#permalink]

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03 Jun 2017, 10:38

m is odd as it not divisible by n is odd as it is not divisible by 4. If n is even it would have given remainder of 2 , For example 10/4 remainder is 2 when it is odd 7/4 remainder is 3. m+n is even
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Re: If the remainder is 1 when m is divided by 2 and the remainder is 3 [#permalink]

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14 Aug 2017, 21:25

My approach was similar to what other clubbers has done above.

"If the remainder is 1 when m is divided by 2" - Clearly m is odd - 1, 3,5,7 etc...

"the remainder is 3 when n is divided by 4" - n 3, 7, 11 etc...

We have M and N both Odd.

A. Not possible. Already saw m is odd B. Not Possible. Already saw n is odd C. Possible. Sum of ANY two odd numbers is Even (eg. 1+1 = 2) D. Not possible. Product of two odd can never be Even. It can only be odd. E. Not Possible. Since Both M and N are odd there are no factors of 2 in both the numbers. Hence their quotient can never be an Even number