| 131. | Let A and B be two arbitrary events, then: |
| a. | P(A∩B) = P(A)P(B) |
| b. | P(AUB) = P(A)+P(B) |
| c. | P(AUB) ≤ P(A)+P(B) |
| d. | P(A/B) = P(A∩B)+P(B) |
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Answer: (c).P(AUB) ≤ P(A)+P(B)
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| 132. | The transitive closure of a relation R on set A whose relation matrix
 |
| a. | A |
| b. | B |
| c. | C |
| d. | D |
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Answer: (b).B
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| 133. | Consider the relation on the set of non-negative integers defined by x≡y if and only if: |
| a. | x mod 3=3 mod y |
| b. | 3 mod x≡3 mod y |
| c. | x mod 3=y mod 3 |
| d. | None of the above |
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Answer: (c).x mod 3=y mod 3
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| 134. | Minimum number of individual shoes to be picked up from a dark room (containing 10 pair of shoes) if we have to get atleast one proper pair: |
| a. | 2 |
| b. | 20 |
| c. | 11 |
| d. | None of these |
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Answer: (c).11
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| 135. | If f(x) =x+1 and g(x)=x+3 then fofofof is: |
| a. | g |
| b. | g+1 |
| c. | g^4 |
| d. | None of the above |
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Answer: (b).g+1
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| 136. | If Im denotes the set of integers modulo m, then the following are fields with respect to the operations of addition modulo m and multiplication modulo m:
(i) Z23 (ii) Z29 (iii) Z31 (iv) Z33 |
| a. | (i) only |
| b. | (i) and (ii) only |
| c. | (i), (ii) and (iii) only |
| d. | (i), (ii), (iii) and (iv) |
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Answer: (c).(i), (ii) and (iii) only
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