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how many numbers does the set have

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how many numbers does the set have

by veenu08 » Tue Jul 09, 2013 10:38 am
If the smallest number in a set of positive integers is 3, how many numbers does the set have?

(1) The set is average of 6
(2) Range of the set is equal to the average of the set

OA E
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Source: — Data Sufficiency |

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by [email protected] » Tue Jul 09, 2013 12:04 pm
Hi veenu08,

Many DS questions require you to consider the possibilities, so think about what COULD BE TRUE based on the info that you have.

The question asks how many terms are in the set. We know that the smallest number = 3

Fact 1 tells us that the average = 6

You could have 2 terms if they were 3 and 9
You could have 3 terms if they were 3, 6 and 9
Etc.
Inconsistent = INSUFFICIENT

Fact 2 tells us that the range = the average

The examples that I used in Fact 1 work PERFECTLY in Fact 2

2 terms if they were 3 and 9 (the range = the average)
3 terms if they were 3, 6 and 9 (the range = the average)
Inconsistent = INSUFFICIENT

Combining terms, we need an average of 6 and a range of 6
With 3 and 9 we'd have 2 terms
With 3, 6, and 9 we'd have 3 terms
Inconsistent = INSUFFICIENT

Final Answer: E

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Rich
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