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What is the remainder when positive integer is divided by 8

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by freakomalay » Fri Jul 03, 2009 8:23 pm
What is the remainder when positive integer n is divided by 8 ?

1.When n is divided by 12 , remainder is 5 .
2. When n is divided by 18,remainder is 11.

Can you please tell me how to form the equation and solve this ?
I tried the number method .
AIMing 700+ ..............
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by amitsahdev » Sat Jul 04, 2009 10:21 pm
What is the remainder when positive integer n is divided by 8 ?
1.When n is divided by 12 , remainder is 5 .
2. When n is divided by 18,remainder is 11.
Can you please tell me how to form the equation and solve this ?
I tried the number method

I tried doing this by trying to think about what nos. will leave the provided remainders in both statements.
For statement 1-if n=7, 7/12 has a remainder of 5 and for statement 2-if n = 7 again the remainder is 11. Given that on the GMAT two statements will never contradict, either statement reinforces the other. Thus, n=7 and 7/8 leaves a remainder of 6.
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Re: What is the remainder when positive integer is divided b

by madhur_ahuja » Sat Jul 04, 2009 11:10 pm
freakomalay wrote:What is the remainder when positive integer n is divided by 8 ?

1.When n is divided by 12 , remainder is 5 .
2. When n is divided by 18,remainder is 11.

Can you please tell me how to form the equation and solve this ?
I tried the number method .
29 and 65 satisfy both statements and remainder when divided by 8 is 5 and 1 respectively.

Hence E
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by cramya » Sun Jul 05, 2009 12:05 am
When a particular n leaves different remainders when divided by different integers then to find the pattern

1) Find the first number (for this problem 29)
2) Find lcm of 2 divisors (12,18) i.e. 36

The pattern is 36q+29 where q=0,1,2,3......

29,65,137 etc....

E

Finding the pattern comes in handy for remainder problems.

Hope this helps.

Regards,
CR
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