Sunday, October 17, 2010

The sum of n consecutive positive integers is 45

The sum of n consecutive positive integers is 45. What is the value of n?

(1) n is even

(2) n < 9



(1) n is even. Now try to choose n such that average i.e, 45/n gives you .5 in decimal. Why? Because we would like to quickly identify the middle two.

So, choose n=6. Average=7.5. So, the case is 5, 6, 7, 8, 9, 10.
Now choose n=2. The case is 22, 23. Insufficient.

(2) No need for further calculation. Just look at (1). Insufficient.

Combining: Just look (1) & (2). E

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