# Set Theory and Algebra MCQ - Sets

106:

If set A has n elements, then number of functions  that can be deined from A into A is

 A. n2 B. n! C. nn D. n Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
107:

If f : Z → Z be defined as f(x) = x2  , x ∈ Z, then  function f is

 A. bijection B. injection C. surjection D. None of these Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
108:

'Subset' relation on a set of sets is

 A. a partial ordering B. an equivalence relation C. transitive and symmetric only D. transitive and anti-symmetric only Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
109:

The correspondence f : N → N is such that

f(x) = y and for x= p1e1, p2e2,...pkek where pi are distinct primes and integers ei>1, if y = e+ e+...+ek, then

 A. f is not a function B. f is an onto function C. f is an 1 - 1 function D. f is neither 1 - 1 nor onto function Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
110:

If P(A) be the collection of all subsets of
A = {a, b, c} and R be a relation defined as "x is disjoint from y" over P(A), then number of elements in R is

 A. 8 B. 9 C. 17 D. 11 Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here: