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ECAT – Mathematics (Sets, Functions, and Groups)

 The following Questions are from sets, their properties, functions, and groups.

 

Mathematics-Sets, Functions, and Groups Sample Questions

1. 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

2. The shaded region of the venn diagram

is represented by ?
(A) A’
(B) B’
(C) A – B
(D) B – A

3. The inverse of q → p is ?
(A) p → q
(B) ∼p → ∼q
(C) ∼q → ∼p
(D) none of these

4. 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)

5. 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

Answers

1. D
2. A
3. C
4. A
5. C

6. Which from the following set has closure property w.r.t addition ?
(A) {0}
(B) {1}
(C) {1,1}
(D) {1,–1}

More:  ECAT – Mathematics (Trigonometry)

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