BITSAT Mathematics Sets MCQs

Question: Let A, B, C be finite sets. Suppose that n (A) = 10,n (B) = 15, n (C) = 20, n (A∩B) = 8 and n (B∩C)= 9. Then the possible value of n  is

• a) 26
• b) 27
• c) 28
• d) Can be 26 or 27 or 28

Answer: Can be 26 or 27 or 28

Question: Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n respectively are,

• a) 4, 7
• b) 7, 4
• c) 4, 4
• d) 7, 7

Answer: 7, 4

Question: The set is equal to

• a) [A\ (A∩B)]∩[B \ (A∩B)]
• b)

  

• c) A\ (A∩B)
• d)

  

Answer:

Question: A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?

• a) 35
• b) 48
• c) 60
• d) 22

Answer: 60

Question: Let A and B be two sets then  is equal to

• a) A ’ 
• b) A
• c) B ’ 
• d) None of these

Answer: A ’ 

Question: Let A = {x : x ÎR, x <1}; B = 

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is

• a) 31
• b) 38
• c) 48
• d) 54

Answer: 31

Question: A set A has 3 elements and another set B has 6 elements. Then

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: There are 20 students in a chemistry class and 30 students in a physics class. If ten students are to be enrolled in both the courses, then the number of students which are either in physics class or chemistry class is

• a) 50, if two classes meet at the same hour.
• b) 40, if two classes meet at different hours
• c) Both (a) and (b) correct
• d) (a) correct but (b) incorrect

Answer: Both (a) and (b) correct

Question: The number of elements in the set

ÎZ},

where Z is the set of all integers, is

• a) 2
• b) 4
• c) 8
• d) 12

Answer: 8