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Question below consists of a question and three statements numbers I, II and III given below it. You have to decide whether the data provided in the statements is sufficient to answer the question.Find the total number of apple that a men, a women and a child together receives, if total of 114 apple have been distributed among 37 people consisting of men, women and children?I. The total apple given to men, women and children are in the ratio 10 : 5 : 4.II. A man got double the number of apple than that of a child got.III. The number of apple received by each men, women and child are in the ratio 4 : 3 : 2.1. All I, II and III together are not sufficient.2. Only I and III together are sufficient.3. Only I and II together are sufficient.4. Either I and II together or I and III together are sufficient.5. None of the above |
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Answer» Correct Answer - Option 2 : Only I and III together are sufficient. From I and II: Total apple given to men = 114 × 10/(10 + 5 + 4) = 60 Total apple given to women = 114 × 5/(10 + 5 + 4) = 30 Total apple given to children = 114 × 4/(10 + 5 + 4) = 24 From II : Let apple received by 1 child is ‘a’ and that of by 1 men = ‘2a’ respectively. Hence, statements I and II together are not sufficient. From I and III: Total apple given to men = 114 × 10/(10 + 5 + 4) = 60 Total apple given to women = 114 × 5/(10 + 5 + 4) = 30 Total apple given to children = 114 × 4/(10 + 5 + 4) = 24 Let apple received by 1 men, 1 women and 1 child is 4b, 3b and 2b respectively. Ratio of men, women and child = 60/4b : 30/3b : 24/2b = 15 : 10 : 12 So men = 37 × 15/(15 + 10 + 12) = 15, women = 37 × 10/(15 + 10 + 12) = 10 and children = 37 × 12/(15 + 10 + 12) = 12 Number of apple each men, women and child together receive = 60/15 + 30/10 + 24/12 = 9 Hence statement I and III together are sufficient. |
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