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Data Sufficiency - Quant/Math - CAT 2008
Question 4 the day:
September 10, 2003
The question for the day is from the topic of Data Sufficiency.
- Is the smallest of five consecutive integers even?
A. The product of the five integers is 0
B. The arithmetic mean of the five integers is 0.
Correct Answer - (1)
Solution:
If the smallest of five consecutive integers is even, then the first, third and fifth integers will be even. From statement A, we know that one of the 5 numbers is 0. However, we will not be able to say which of the 5 numbers happen to be 0.
From statement B, we know the arithmetic mean of the 5 numbers is 0. The A.M of five consecutive integers is the third integer, which is 0. 0 is even. Hence, the smallest of the 5 consecutive integers is even. Hence statement B alone is sufficient and the answer is (1).
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