Let R be a non-empty relation on a collection of sets defined by ARB if and only if A ∩ B = Ø
Then (pick the TRUE statement)
| A. | R is relexive and transitive |
| B. | R is symmetric and not transitive |
| C. | R is an equivalence relation |
| D. | R is not relexive and not symmetric |
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Option: B Explanation : Click on Discuss to view users comments. |
The binary relation S = Φ (empty set) on set A = {1, 2,3} is
| A. | neither reflexive nor symmetric |
| B. | symmetric and relexive |
| C. | transitive and relexive |
| D. | transitive and symmetric |
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Option: D Explanation : Click on Discuss to view users comments. |
Which of the following sets are null sets ?
| A. | {0} |
| B. | ø |
| C. | { } |
| D. | Both (b) & (c) |
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Option: D Explanation : Click on Discuss to view users comments. |
Number of subsets of a set of order three is
| A. | 3 |
| B. | 6 |
| C. | 8 |
| D. | 9 |
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Option: C Explanation : Click on Discuss to view users comments. Navdeep kaur said: (7:29pm on Thursday 27th April 2017)
Why number of subsets of a set of order three is 8 ?
Kalyani mishra said: (5:16pm on Wednesday 14th February 2018)
Since no of subsets means power set ..If A ={1,2,3} then P(A) =2 ^3=8
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