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Discussion :: Mathematical and Computer Operations

  1. In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:
    'P+Q' means 'P is neither smaller nor greater than Q'.
    'P×Q' means 'P is neither equal to nor smaller than Q'.
    'P?Q' means 'P is neither greater than nor equal to Q'.
    'P@Q' means 'P is neither greater than or equal  to Q'.
    'P$Q' means 'P is not equal to Q'.

    Statements: H @ J, J ? K, K Ã— M
    Conclusions: I. H @ M   II. M Ã— J
  2. A.
    if only conclusion I is true.
    B.
    if only conclusion II is true.
    C.
    if either conclusion I or II is true.
    D.
    if neither conclusion I nor II is true.
    E.
    if both the conclusions I and II are true.

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    Answer : Option D

    Explanation :

    H ≥ J -- (i); J < K -- (ii); K > M -- (iii)

    From (ii) and (iii), we get J < K > M => no relationship between J and M can be established. Hence, II can't be established. Again, combining all we can't conclude the relationship between H and M. Hence I is not true.


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