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 : Click on Discuss to view users comments. |
Let f : R → R be defined by
f(x)= {x+2 (x ≤ -1)
{ x2 (-1 ≤ x ≤1)
{2 - x (x ≥ 1)
Then value of f (-1.75) + f (0.5) + f (1.5) is
| A. | 0 |
| B. | 2 |
| C. | 1 |
| D. | -1 |
|
Option: C Explanation : Click on Discuss to view users comments. |
A relation R is defined on the set of positive integers as xRy
if 2x + y ≤ 5.
The realation R is
| A. | reflexive |
| B. | symmetric |
| C. | transitive |
| D. | None of these |
|
Option: C Explanation : Click on Discuss to view users comments. |
Let R be na equivalence relation on the set {1,2,3,4,5,6} given by
{(1,1),(1,5),(2,2),(2,3),(2,6),(3,2),(3,3),(3,6),(4,4),(5,1),(5,5),(6,2),(6,6),(6,6)}.
The partition included by R is
| A. | {1,2,3,4,5,6} |
| B. | {{1,3,5,6},{2,4}} |
| C. | {{1,5},{2,3,6},{4}} |
| D. | {{1,2,3,4},{5,6}} |
|
Option: C Explanation : Click on Discuss to view users comments. |
