Problem Solving

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.

• 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

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