chetan2u
If Brian eats some chocolates over a period of 5 days, is the average number of chocolates he eats per day greater than 2?
(1) The number of chocolates he eats per day is a set of consecutive positive integers.
(2) Brian eats 11 chocolates on the last day.
Answer is debatable
Question does not say that he eats chocolate EVERY DAY, over the 5 days. On some days he could eat Chocolate and some days he might not.
(1) The number of chocolates he eats per day is a set of consecutive positive integers.
Consider this:
0,0,1,2,3 =\(\frac{6}{5}\) = NO
0, 1,2,3,4 = average \(\frac{10}{5}\)=2, NO.
1,2,3,4,5 =verage \(\frac{15}{5}\)=3, yes
INSUFF.
(2) Brian eats 11 chocolates on the last day :
Clearly least number of chocos. is 11 so avg. will be greater than 2.
SUFF.
Answer should be B.
For Answer to be D we need to be sure that he eats chocos. every day.
0,0,1,2,3 is not set of consecutive positive integers.
Positive integers means AT LEAST 1, and consecutive means one after another.
So the smallest set would be 1,2,3,4,5.
Positive integers means he eats at least 1.