Q1.

Out of 20 members in a family, 11 like to take tea and 14 like coffee. Assume that each one likes at least one of the two drinks . Find how many like both coffee and tea :  

  • 2

  • 3

  • 6

  • 5

Solution:

NA

Q2.

In a group of 70 people, 45 speak Hindi, 33 speak English and 10 neither Hindi nor English. Find how many can speak both English as well as Hindi :

  • 15

  • 17

  • 20

  • 18

Solution:

NA

Q3.

Out of total 150 students, 45 passed in Accounts, 30 Economics and 50 in Maths, 30 in both Accounts and Maths , 32 in both Maths and Economics, 35 in both Accounts and Economics , 25 students passed in all the three subjects . Find the numbers who passed atleast in any one  of the subjects:

  • 53

  • 55

  • 73

  • None of these 

Solution:

NA

Q4.

For any two sets A and B \(A \bigcap (B\bigcup C)'\) is equal to 

  • A

  • B

  • \(\phi\)

  • \(A\bigcap B\)

Solution:

NA

Q5.

Two finite sets have m and n elements . The number of subsets of the first set is 112 more than of the second . The value of m and n are respectively 

  • 4,7 

  • 7,4

  • 4,4 

  • 7, 7

Solution:

NA

Q6.

If n(U) = 50, n (A) = 30, n \((A\bigcap B)\) = 12 and n ((A U B)') = 15, then find n (B - A) . 

  • 5

  • 7

  • 10

  • 2

Solution:

NA

Q7.

If n(U) = 40, n (A) = 25 and n(B) = 20 , then find the greatest value of n (A U B) . 

  • 45

  • 44

  • 40

  • 35

Solution:

NA

Q8.

If n (U)= 40, n((A U B)') = 12, n (A - B) = 10 and n(B - A) = 14, then find n\((A \bigcap B)\) .

  • 4

  • 10

  • 2

  • 5

Solution:

NA

Q9.

In a group of 50 people  two test were conducted , one for diabetes and one for blood pressure. 30 people were diagnosed diabetes and 40 people were diagnosed with high blood pressure . What is the minimum number of people who were having diabetes and  high blood pressure ?

  • 10

  • 20

  • 0

  • 40

Solution:

NA

Q10.

In a class of 60 students , 45 students like music , 50 students like dancing , 5 students like neither. Then , the number of students in the class who like both music and dancing is 

  • 35

  • 40

  • 50

  • 55

Solution:

NA