Data Sufficiency

fiza gupta wrote:Total pie:200
customer bought both: 80
let x people buy only chocolate pie
let y people but only coconut cream
200 = x+y+80

1) 40 didnot buy chocolate pie
200-40 = 160 bought coconut cream
160 = only bought coconut + both
160 = 80 + only coconut
only coconut = 80
chocolate = 200 - 80 = 120
SUFFICIENT

2) 120 = coconut cream
200-120 = 80 (only chocolate)
chocolate = only chocolate + both
= 80+80 = 160
SUFFICIENT

SO D

Hi Fiza,

The answer from S1 = 120 and from S2 = 160, which is not possible. Each one should render the same answer.

For a standard GMAT DS question, if the answer to a question is D, each statement should render either "Yes and Yes" or 'No and No" for a "Yes/No" question and the same numerical values for each statement for a "What is the value?" question.

We see that in this question, your answer from statement 1 = 120, and that from statement 2 = 160, which is incorrect. Though you got the correct answer as D, you should be wary of this mistake.

In the GMAT-DS, the question narration, and both the statements present a holistic situation and none of the statement should contradict each other. Each statement should compliment each other.

I think your solution to statement 1 is incorrect.

Let's see if this helps!

S1: 40 did not buy chocolate pie => 40 bought ONLY Coconut pie.

Deducing 200 - 40 = 160 bought coconut cream = ONLY bought coconut + Both is incorrect as Both includes Chocolate pie too.

So the correct interpretation of '40 did not buy chocolate pie' is '40 bought ONLY Coconut pie'

=> Customer bought ONLY Chocolate pie = 200 - 40 - 80 = 80

=> Customer bought Chocolate pie = ONLY Chocolate pie + Both = 80 + 80 =160.

Hope this helps!

-Jay

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fiza gupta wrote:Hi Jay,

I got my mistake and Thanks! for pointing it out

You are welcome Fiza.

-Jay

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