
Data Sufficiency  Quant/Math  CAT 2013
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).



