| 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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| 137. | Consider the following minimax game tree search. What will be the value propagated at the root?
 |
| a. | 6 |
| b. | 3 |
| c. | 4 |
| d. | 5 |
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Answer: (d).5
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| 138. | Use Dual Simplex Method to solve the following problem:
 |
| a. | 1 |
| b. | 2 |
| c. | 3 |
| d. | 4 |
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Answer: (b).2
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| 139. | Choose the correct answer from the options given below:
  |
| a. | (iii) only |
| b. | (ii) and (iii) only |
| c. | (i) and (ii) only |
| d. | (iv) only |
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Answer: (a).(iii) only
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| 140. | In mathematical logic, which of the following are statements?
(i) There will be snow in January. (ii) What is the time now? (iii) Today is Sunday. (iv) You must study Discrete mathematics |
| a. | i and iii |
| b. | i and ii |
| c. | ii and iv |
| d. | iii and iv |
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Answer: (a).i and iii
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