If every element of a group G is its own inverse, then G is
A. | infinite |
B. | finite |
C. | cyclic |
D. | abeian |
Option: D Explanation : |
The universal relation A x A on A is
A. | an equivalence relation |
B. | anti-symmetric |
C. | a partial ordering relation |
D. | not symmetric and not anti-symmetric |
Option: A Explanation : |
Total number of diferent partitions of a set having four elements is
A. | 16 |
B. | 8 |
C. | 15 |
D. | 4 |
Option: C Explanation : |
A partition of {1, 2, 3, 4, 5} is the family
A. | {(1, 2),(3, 4),(3, 5)} |
B. | {φ(1, 2),(3, 4),(5)} |
C. | {(1, 2, 3),(5)} |
D. | {(1, 2,), (3, 4, 5)} |
Option: D Explanation : |
Let s(w) denote the set of al the letters in w where w is an English word. Let us denote set equality, subset and union relations by =, ⊂ and ∪ respectively.
Which of the following is NOT true?
A. | s(ten) ⊂ s(twenty) |
B. | s(stored) = s(sorted) |
C. | s(sixty) ⊂ (s(six) ∪ s(twenty) |
D. | None of these |
Option: D Explanation : |