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number of 2s

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by cypherskull » Mon May 07, 2012 12:07 pm
If the terms of a series are either "2" or "24" and the sum of all the terms of the series is 124, then which of the following could be the number of "2s" in the series?

A. 48

B. 35

C. 40

D. 29

E. 26
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by Bill@VeritasPrep » Mon May 07, 2012 1:08 pm
After we take out the 2's, the amount that's left over must be a multiple of 24

A--48*2=96; 124-96=28, which is not a multiple of 24.

B--35*2=70; 124-70=54; not a multiple of 24

C--30*2=80; 124-80=44; not a multiple of 24

D--29*2=58; 124-58=66; not a multiple of 24

E--26*2=52; 124-52=72, which is a multiple of 24
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