26.
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The remainder when the positive integer m is divided by 7 is x. The remainder when m is divided by 14 is x+7. Which one of the following could m equal?
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Answer – (B)
Solution:
Choice (A):
457=6+37, so x=3.
Now,4514=3+314.
The remainder is 3, not x+7(=10). Reject.
Choice (B):
537=7+47, so x=4.
Now, 5314=3+1114.
The remainder is 11, and equals x+7(=11). Correct.
Choice (C):
727=10+27, so x=2.
Now, 7214=5+214.
The remainder is 2, not x+7(=9). Reject.
Choice (D):
857=12+17, so x=1.
Now,8514=6+114.
The remainder is 1, not x+7(=8). Reject.
The answer is (B).
Title : Numbers Q26
Description : 26. The remainder when the positive integer m is divided by 7 is x. The remainder when m is divided by 14 is x+7. Which one of the foll...
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