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Bunuel
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Which is the smallest of three numbers that average 7? 17 Jan 2016, 11:03
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C
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Difficulty:

5% (low)

Question Stats:

86% (00:58) correct 14% (00:55) wrong based on 102 sessions

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Which is the smallest of three numbers that average 7?

(1) One of the numbers is 4.
(2) One of the numbers is 6.
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C
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Which is the smallest of three numbers that average 7? 18 Jan 2016, 05:41
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IMO C is correct
We need to know atleast 2 numbers to deduce the shortest among them
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Which is the smallest of three numbers that average 7? 26 Jan 2016, 21:52
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Bunuel
Which is the smallest of three numbers that average 7?

(1) One of the numbers is 4.
(2) One of the numbers is 6.
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C
My logic was with stm (1) or (2) alone too many combos
but with both together
(4+6+X)/ 3=7 u can do an equation to determine the quest
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Which is the smallest of three numbers that average 7? 30 Jan 2016, 00:00
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Hi All,

Some Test Takers will see the 'logic' behind this question relatively easily. Even if you're one of those people, DS questions have no 'safety net', which means that if you make a little mistake (by doing work 'in your head' instead of writing everything down), then you will get the question wrong and not even know it. As such, even when you think a question is easy, you should still take the necessary notes to PROVE what the correct answer actually is.

Here, we're told that there are 3 numbers with an average of 7. We're asked for the smallest of three numbers.

To start, since the average is 7, the sum is.... Sum/3 = 7..... Sum = 21.

1) One of the numbers is 4.

With this Fact, we know that the other 2 numbers total 17.

We could have 0 and 17, in which case the smallest number is 0.
We could have 8 and 9, in which case the smallest number is 4.
Fact 1 is INSUFFICIENT.

2) One of the numbers is 6.

With this Fact, we know that the other 2 numbers total 15.

We could have 0 and 15, in which case the smallest number is 0.
We could have 7 and 8, in which case the smallest number is 6.
Fact 2 is INSUFFICIENT.

Combined, we know...
One of the numbers is 4.
One of the numbers is 6.

With both Facts, we know that the missing number is 11, so the three numbers are 4, 6 and 11. The answer to the question IS 4.
Combined, SUFFICIENT.

Final Answer:
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C

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