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Bunuel
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

A. 0
B. 10
C. 18
D. 20
E. 25

We can create the equation:

Total = two-wheeler + credit card + mobile phone - doubles + triple + neither

200 = 100 + 70 + 140 - (40 + 30 + 60) + 10 + n

200 = 310 - 130 + 10 + n

200 = 190 + n

10 = n

Answer: B
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Bunuel
40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?

Question: how do you realize when the statement is about exactly 2 overlapping sets, and when about at least two?
I find it a bit difficult sometimes. Of course I'm not talking about obvious examples, but like the one here, I took it as "exactly", just to realize later that Formula 2 give result that it's not among the answers, so then I had to redo my math with the other formula.
Any advice/ rule of thumb?
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wengiel

Question: how do you realize when the statement is about exactly 2 overlapping sets, and when about at least two?
I find it a bit difficult sometimes. Of course I'm not talking about obvious examples, but like the one here, I took it as "exactly", just to realize later that Formula 2 give result that it's not among the answers, so then I had to redo my math with the other formula.
Any advice/ rule of thumb?

hey wengiel ,

Welcome to GMATClub :)

Basically you are looking for this link.

If you are not given exactly two, don't assume. More details in the link I shared.
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i calculated using formulae = A+B+C - (A and B) - (A and C) - (B and C) - 2(A and B and C) +N i am getting the answer as 40. Can anyone guide?
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Saaaaaaaaaaaaaaa
i calculated using formulae = A+B+C - (A and B) - (A and C) - (B and C) - 2(A and B and C) +N i am getting the answer as 40. Can anyone guide?
In this formula ' (A and B) - (A and C) - (B and C) ' doesn't contain the triple intersection area while 'A+B+C' contains it and it is counted thrice so we subtract two times the triple area
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