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Logical Reasoning :: Mathematical and Computer Operations

Mathematical and Computer Operations - Mathematical and Computer Operations
  1. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:
    'P?Q' means 'P is either equal to or smaller than Q'.
    'P$Q' means 'P is neither greater than nor smaller than Q'.
    'P*Q' means 'P is neither greater than nor equal to Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P&Q' means 'P is not equal to Q'.

    Statements: K $ M, N & M, J @ k
    Conclusions: I. J ? M  II. K $ N
    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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  2. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:
    'P?Q' means 'P is either equal to or smaller than Q'.
    'P$Q' means 'P is neither greater than nor smaller than Q'.
    'P*Q' means 'P is neither greater than nor equal to Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P&Q' means 'P is not equal to Q'.

    Statements: K @ R, L & B, B ? K
    Conclusions: I. B ? R  II. R * L
    3. 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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  3. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:
    'P?Q' means 'P is either equal to or smaller than Q'.
    'P$Q' means 'P is neither greater than nor smaller than Q'.
    'P*Q' means 'P is neither greater than nor equal to Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P&Q' means 'P is not equal to Q'.

    Statements: J * M, W $ E, J @ W
    Conclusions: I. M ? W   II. J ? E
    4. 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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  4. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:
    'P?Q' means 'P is either equal to or smaller than Q'.
    'P$Q' means 'P is neither greater than nor smaller than Q'.
    'P*Q' means 'P is neither greater than nor equal to Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P&Q' means 'P is not equal to Q'.

    Statements: R @ S, S ? U, T $ R
    Conclusions: I. T $ S    II. T ? U
    5. 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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  5. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:
    'P?Q' means 'P is either equal to or smaller than Q'.
    'P$Q' means 'P is neither greater than nor smaller than Q'.
    'P*Q' means 'P is neither greater than nor equal to Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P&Q' means 'P is not equal to Q'.

    Statements: A * B, B ? C, C @ D
    Conclusions: I. A $ D  II. B ? D
    6. 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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  6. In the following questions the symbols @, с, £, ? and $ are used with the following meanings:
    'A@B' means 'A is neither equal to nor smaller than B'.
    'AсB' means 'A is neither greater nor smaller than B'.
    'A£B' means 'A is not equal to B'.
    'A?B' means 'A is neither greater than nor equal to B'.
    'A$B' means 'A is either greater or equal to B'.

    Statements: N ? S, S @ P, P £ M
    Conclusions: I. S @ m   II. P Ñ N
    7. 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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  7. In the following questions the symbols @, с, £, ? and $ are used with the following meanings:
    'A@B' means 'A is neither equal to nor smaller than B'.
    'AсB' means 'A is neither greater nor smaller than B'.
    'A£B' means 'A is not equal to B'.
    'A?B' means 'A is neither greater than nor equal to B'.
    'A$B' means 'A is either greater or equal to B'.

    Statements: J Ñ P, P $ N, J £ H
    Conclusions: I. J Ñ N  II. H @ P
    8. 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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  8. In the following questions the symbols @, с, £, ? and $ are used with the following meanings:
    'A@B' means 'A is neither equal to nor smaller than B'.
    'AсB' means 'A is neither greater nor smaller than B'.
    'A£B' means 'A is not equal to B'.
    'A?B' means 'A is neither greater than nor equal to B'.
    'A$B' means 'A is either greater or equal to B'.

    Statements: Z @ D, F Ñ D, F $ G
    Conclusions: I. D Ñ G   II. Z @ G
    9. 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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  9. In the following questions the symbols @, с, £, ? and $ are used with the following meanings:
    'A@B' means 'A is neither equal to nor smaller than B'.
    'AсB' means 'A is neither greater nor smaller than B'.
    'A£B' means 'A is not equal to B'.
    'A?B' means 'A is neither greater than nor equal to B'.
    'A$B' means 'A is either greater or equal to B'.

    Statements: L @ T, P ? T, K $ L
    Conclusions: I. L @ P   II. K @ T
    10. 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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  10. In the following questions the symbols @, с, £, ? and $ are used with the following meanings:
    'A@B' means 'A is neither equal to nor smaller than B'.
    'AсB' means 'A is neither greater nor smaller than B'.
    'A£B' means 'A is not equal to B'.
    'A?B' means 'A is neither greater than nor equal to B'.
    'A$B' means 'A is either greater or equal to B'.

    Statements: R Ñ U, U ? Q, W $ R
    Conclusions: I. W Ñ U  II. W @ U
    11. 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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