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statement and conclusion using venn diagram

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Refer to the symbols below and their corresponding meanings. The given signs denote the following operations/relationships: X ? Y means X is less than or equal to Y. X/Y means X is equal to Y. X = Y means X is greater than Y. X + Y means X is half of Y. Which of the two conclusions I and II is/are definitely true based on the information provided ?

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Answer : D. Neither conclusion I nor II is true

Statement and Conclusion
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I

In the question symbols *, @, %, $ and # are used with the following meaning : ‘P $ Q’ means ‘P is not greater than Q’. ‘P * Q’ means ‘P is neither smaller than nor greater than Q’. ‘P # Q’ means “P is neither greater than nor equal to Q’. ‘P % Q’ means ‘P is not smaller than Q’. ‘P @ Q’ means ‘P is neither smaller than nor equal to Q’. Now assuming the statements to be true, find which of the two conclusions I and II is/are definitely true. Statements: W @ M, J # M, M * Y

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Answer : B. only conclusion II is true

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