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Logical Reasoning :: 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 than nor equal to Q'.
    'P©Q' means 'P is not smaller than Q'.
    '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'.

    Statements: Z # N, F © N, F * K
    Conclusions: I. K $ N   II. K @ Z
  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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  3. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:
    'P@Q' means 'P is neither smaller than nor equal to Q'.
    'P©Q' means 'P is not smaller than Q'.
    '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'.

    Statements: D $ T, T © M, M # K
    Conclusions: I. M $ D   II. D @ M
  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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  5. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:
    'P@Q' means 'P is neither smaller than nor equal to Q'.
    'P©Q' means 'P is not smaller than Q'.
    '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'.

    Statements: W © A, B * A, B @ M
    Conclusions: I. B # W   II. W $ B
  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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  7. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:
    'P@Q' means 'P is neither smaller than nor equal to Q'.
    'P©Q' means 'P is not smaller than Q'.
    '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'.

    Statements: J *M, M $ N, n # T
    Conclusions: I. T @ J   II. T $ J
  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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  9. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:
    'P@Q' means 'P is neither smaller than nor equal to Q'.
    'P©Q' means 'P is not smaller than Q'.
    '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'.

    Statements: V * F, F @ R, R © G
    Conclusions: I. G # V   II. G @ V
  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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  11. In these questions, certain symbols have been used to indicate relationships between elements follows:
    'A*B' means 'A is either equal to or greater than B'.
    'A$B' means 'A is equal to B'.
    'A£B' means 'A is either equal to or smaller than B'.
    'A&B' means 'A is smaller than B'.
    'A@B' means 'A is greater than B'.

    Statements: S * K, T & K, K * B
    Conclusions: I. S $ B    II. S @ B
  12. 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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  13. In these questions, certain symbols have been used to indicate relationships between elements follows:
    'A*B' means 'A is either equal to or greater than B'.
    'A$B' means 'A is equal to B'.
    'A£B' means 'A is either equal to or smaller than B'.
    'A&B' means 'A is smaller than B'.
    'A@B' means 'A is greater than B'.

    Statements: Y $ Z, H $ D, Z * D
    Conclusions: 1. D £ Y   II. H £ Z

  14. 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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  15. In these questions, certain symbols have been used to indicate relationships between elements follows:
    'A*B' means 'A is either equal to or greater than B'.
    'A$B' means 'A is equal to B'.
    'A£B' means 'A is either equal to or smaller than B'.
    'A&B' means 'A is smaller than B'.
    'A@B' means 'A is greater than B'.

    Statements: M @ N, P @ R, P & N
    Conclusions: I. P £ M   II. R & N
  16. 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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  17. In these questions, certain symbols have been used to indicate relationships between elements follows:
    'A*B' means 'A is either equal to or greater than B'.
    'A$B' means 'A is equal to B'.
    'A£B' means 'A is either equal to or smaller than B'.
    'A&B' means 'A is smaller than B'.
    'A@B' means 'A is greater than B'.

    Statements: T & K, K * B, S * K
    Conclusions: I. B * T   II. S £ T
  18. 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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  19. In these questions, certain symbols have been used to indicate relationships between elements follows:
    'A*B' means 'A is either equal to or greater than B'.
    'A$B' means 'A is equal to B'.
    'A£B' means 'A is either equal to or smaller than B'.
    'A&B' means 'A is smaller than B'.
    'A@B' means 'A is greater than B'.

    Statements: P @ R, M @ N, P & N
    Conclusions: I. N @ R   II. P & M
  20. 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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