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## Of the 200 candidates who were interviewed for a position...

tagged by: BTGmoderatorLU

This topic has 2 expert replies and 0 member replies

### Top Member

BTGmoderatorLU Moderator
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#### Of the 200 candidates who were interviewed for a position...

Tue Mar 06, 2018 2:01 pm
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

The OA is B.

Experts, any suggestion about how to solve this PS question? Thanks in advance.

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
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Wed Mar 07, 2018 2:28 am
LUANDATO wrote:
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

The OA is B.

Experts, any suggestion about how to solve this PS question? Thanks in advance.
The total number of employees = 200 are distributed as following:

Employees with 2-Wheeler = x = 100;
Employees with Credit Card = y = 70;
Employees with Mobile phone = z = 140;

Employees with 2-Wheeler & Credit Card = (x & y) = 40;
Employees with 2-Wheeler & Mobile phone = (x & z) = 60;
Employees with Credit Card & Mobile phone = (y & z) = 30;

Employees with all the three = (x & y & z) = 10

Employees with none of the three = p

We have to get the value of p.

Thus,

200 = x + y + z - (x&y) - (y&z) - (x&z) + (x & y & z) + p

200 = 100 + 70 + 140 - 40 - 60 - 30 + 10 + p

p = 10

Hope this helps!
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### GMAT/MBA Expert

Jeff@TargetTestPrep GMAT Instructor
Joined
09 Apr 2015
Posted:
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39
Mon Mar 12, 2018 4:10 pm
LUANDATO wrote:
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

_________________
Jeffrey Miller Head of GMAT Instruction

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