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What is the remainder when the positive integer x is divided [#permalink]
08 Apr 2008, 12:35

What is the remainder when the positive integer x is divided by 8? (1) When x is divided by 12, the remainder is 5. (2) When x is divided by 18, the remainder is 11. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

your reasoning pls

Last edited by notahug on 08 Apr 2008, 19:41, edited 1 time in total.

I have the same problem as your. I do not master this skill of number plugging. I did tried but it did not work for me. The other way does not help me more!

1. 12k + 5 = (8k +8)+(4k-3)

4k-4 divided by 8 produce some remainders so not sufficient

2. 18n+11 = 16n + 8 + (2n+3)

2n+3 also produces some remainders when it divided by 8, not sufficient

When combining, I stop thinking, I apply the way Walker suggest but it seems difficult for me. Any other help? _________________

At the beginning I tried to use "mod" approach to solve such problems but found it too clumsy and sometimes this approach lead me to deadlock ... On the other hand, the plugging numbers seems to be not so nice but work well for almost all reminder problems. _________________