HARD
11th CBSE
IMPORTANT
Earn 100

In a group of 50 people, 35 speak Hindi, 25 speak both Hindi and English and all speak at least one of the two languages. How many people speak only English but not Hindi? How many people speak English? 

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Important Questions on Sets

EASY
11th CBSE
IMPORTANT
If A, B, C are three sets and U is the universal set such that n(U)=700,n(A)=200, n(B)=300 and n(AB)=100. Find nA'B'
HARD
11th CBSE
IMPORTANT
In a survey, it was found that 21 people liked the product A, 26 liked the product B, and 29 people liked the product C. If 14 people liked the product A and B, 12 people liked the product C and A14 people liked the product B and C and 8 people liked all the products. Find how many people like the product C only.
HARD
11th CBSE
IMPORTANT
In a survey, it was found that 21 people liked the product A, 26 liked the product B, and 29 people liked the product C. If 14 people liked the product A and B, 12 people liked the product C and A,14 people liked the product B and C and 8 people liked all the products. Find how many people like products A and C not B.
HARD
11th CBSE
IMPORTANT
In a survey, it was found that 21 people liked the product A, 26 liked the product B, and 29 people liked the product C. If 14 people liked the product A and B, 12 people liked the product C and A,14 people liked the product B and C and 8 people liked all the products. Find how many people like at least one of the products. 
 
EASY
11th CBSE
IMPORTANT
If the number of non-empty subsets of a set is 4095, the number of elements of the set is
HARD
11th CBSE
IMPORTANT
If A=4n-3n-1:nN and B={9n-9:nN},AB is
MEDIUM
11th CBSE
IMPORTANT
If A and B are two sets such that n(A)=12, n(A-B)=5 and n(AB)=23, then maximum number of subsets of AB is 
MEDIUM
11th CBSE
IMPORTANT
If P and Q are two well defined and finite sets and Q has 90 elements, PQ has 30 elements and PQ has 108 elements, the cardinality of P-Q is