There are 170 members in a club. each one of them belongs to one or more categories out of the four categories viz. Service holder, professional degree holder, physically challenged and married. There are 60 service holders, 40 professional degree holders, 50 physically challenged and 70 married members.

Q1. If the number of members who belongs to all four categories is maximum possible, then how many members belong to at least  three categories?
a. 18
b. 17
c. 16
d.  either a or b
c. either b or c

Q2. If there are excatly 10 members who belongs to all four categories, then find the maximum possible number of members belonging to only physically challenged category.
a. 40
b. 35
c. 38
d. cannot be determined.

Ans: Q1. c
Q2. a