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A set T is given as T=xR(x-3)=(x+4)2,x<2. Which of these would be TRUE about the set T ?

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Important Questions on Set Theory and Relations

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If A and B are two non-empty finite sets having 3 and 4 elements respectively, then what would be the possible number of subsets of A×B?
HARD
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IMPORTANT
There is a set P of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that M=410. How many elements will be there in power set of P ?
EASY
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Two sets A and B have 27 and 33 elements respectively. If (AB) contains 48 elements, then how many elements are there in (AB)?
EASY
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IMPORTANT
If n(P)=8, n(Q)=10 and n(R)=5 ('n' denotes cardinality) for three disjoint sets P, Q, R, then n(PUQUR)=
EASY
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If there are 2 elements in a set A, then what would be the number of possible relations from the set A to set A?
EASY
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IMPORTANT
If A and B are two non-empty finite sets having 3 and 4 elements respectively, then what would be the number of ordered pairs in A×B?
MEDIUM
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IMPORTANT
Suppose A, B and C are three sets, each with three elements. The number of subsets of the set A×B×C that have at least 2 elements is
MEDIUM
JKCET
IMPORTANT
Suppose P, Q and R are three sets, each with three elements. The number of subsets of the set P×Q×R, that have at least 2 elements is