EASY
JEE Advanced
IMPORTANT
Earn 100

If and , then the minimum and maximum values of are respectively
(a) and
(b) and
(c) and
(d) and
(e)none of these

50% studentsanswered this correctly

Important Questions on Sets
MEDIUM
JEE Advanced
IMPORTANT
Let be the universal set for sets and . If and , then is equal to provided is equal to

MEDIUM
JEE Advanced
IMPORTANT
Suppose are thirty sets each with five elements and are sets each with three elements. Let . Assume that each element of belongs to exactly of the and exactly of . The value of must be

EASY
JEE Advanced
IMPORTANT
If there are three athletic teams in a school; out of all team members are in the basketball team, are in the hockey team and are in the football team; members play hockey and basketball, play hockey and football, members play football and basketball and members play all the games. Then the total number of members is

EASY
JEE Advanced
IMPORTANT
In a certain town, families own a phone and own a car, families own neither a phone nor a car. families own both a car and a phone.
Consider the following statements in this regard:
I. families own both a car and a phone.
II. families own either a car or a phone.
III. families live in the town.
Which of the above statements are correct?

EASY
JEE Advanced
IMPORTANT
teachers of a school either teaching mathematics or physics. of them teaching mathematics, while teaching both the subjects. Then, the number of teachers teaching physics only are

MEDIUM
JEE Advanced
IMPORTANT
A survey shows that of the Americans like cheese whereas like apples. If of the Americans like both cheese and apples, then we have

MEDIUM
JEE Advanced
IMPORTANT
Let and be two sets containing four and two elements respectively. Then, the number of subsets of the set , each having at least three elements, is

EASY
JEE Advanced
IMPORTANT
If and where is the set of natural numbers, then is equal to
