If Brian eats some chocolates over a period of 5 days, is the average

Question

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.

ArunSharma12 · Answer

Given: number of days: 5
Average per day > 2, so total chocolates in 5 days > 10?

statement 1:
number of chocolates eaten per day is consecutive.
minimum: 1,2,3,4,5.
total > 10
sufficient

statement 2:
number of chocolates on last day = 11
total > 10
sufficient
Ans: D

GMATinsight · Answer

Question: Is average of 5 days > 2?

Question: Is sum of chocolates eaten on 5 days > 10?

Statement 1 : The number of chocolates he eats per day is a set of consecutive positive integers.

The set of smallest values of chocolates eaten on 5 days is {1, 2, 3, 4, 5} i.e.  Sum_{min} = 15  and  Average_{min} = 3  hence

SUFFICIENT

STatement 2 : Brian eats 11 chocolates on the last day

i.e. Sum > 10 even if he eats 0 chocolates on remaining 4 days hence

SUFFICIENT

Answer: Option D

stne · Answer

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.

chetan2u · Answer

Hi, 
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.

stne · Answer

How can we be sure, that the consecutive series you are talking about starts from day 1 and NOT from day 2 or day 3 or day 4?

deepak.brijendra · Answer

If Brian eats some chocolates over a period of 5 days,

(1) The number of chocolates he eats per day is a set of consecutive positive integers.

It is not clear if Brian eats the chocolate everyday during the 5 days. It says he eats some numbers of chocolates over the 5 days period, which indicate that he eats 1, 2, 0,0,4

If Brian eats some chocolates over a period of 5 days, is the average

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GMAT Data Sufficiency (DS) Questions

If Brian eats some chocolates over a period of 5 days, is the average

Prep Toolkit

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