(A) into function
(B) onto function
(C) injective
(D) none of these
Category: Sets, Functions and Groups Mcqs
If a function f: A→B is such that Ran f ≠ B then f is a
(A) into function
(B) onto function
(C) surjective
(D) none of these
Complete the truth table
p | q | q → p |
T | T | T |
T | F | ___ |
F | T | ___ |
F | F | ___ |
(A) T, F, T
(B) F, T, F
(C) F, F, T
(D) T, T, F
Which from the following set has closure property w.r.t multiplication ?
(A) {0,–1}
(B) {1,–1}
(C) {–1}
(D) {–1,–1}
Which from the following set has closure property w.r.t addition ?
(A) {0}
(B) {1}
(C) {1,1}
(D) {1,–1}
If the set G={1,w,w2} is an abelian group w.r.t multiplication, then inverse of w is ?
(A) 1
(B) w
(C) w2
(D) it does not contain an inverse
The logical form of (A∪B)’ = A’ ∩ B’ is ?
(A) ∼(p ∨ q) = ∼p ∧ ∼q
(B) ∼(p ∧ q) = ∼p ∨ ∼q
(C) ∼p ∧ ∼q = ∼(p ∨ q)
(D) ∼p ∨ ∼q = ∼(p ∧ q)
The inverse of q → p is ?
(A) p → q
(B) ∼p → ∼q
(C) ∼q → ∼p
(D) none of these
The shaded region of the venn diagram
is represented by ?
(A) A’
(B) B’
(C) A – B
(D) B – A
If the number of elements in a set S are 5. Then the number of elements of the power set P(S) are ?
(A) 5
(B) 6
(C) 16
(D) 32