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16. If f : R ---->R defined by f(x) = x2 + 1, then values of f -1 (17) and f -1(-3) are respectively
{Ø}, (4, - 4)
{3,-3},{Ø}
{Ø},{3,-3}
{4,-4},Ø
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17. In a beauty contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were there in all ?
18
36
24
None of these
18. Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered pairs (a, b) are there with a ∈ A and b ∈ B ?
p2
p x q
p + q
2 pq
19. The set of all Equivalence classes of a set A of cardinality C
has the same cardinality as A
forms a partition of A
is of cardinality 2C
is of cardinality C2
20. Let Z denote the set of all integers.Define f : Z —> Z byf(x) = {x / 2 (x is even) 0 (x is odd)then f is
onto but not one-one
one-one but not onto
one-one and onto
neither one-one nor-onto
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