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Logical Reasoning :: Mathematical and Computer Operations

  1. In the following questions, the symbols, #, $, ?, * and @ are used with the following meanings:
    'A#B' means 'A is not greater than B'.
    'A$B' means 'A is neither smaller than nor equal to B'.
    'A?B' means 'A is neither greater than nor smaller than B'.
    'A*B' means 'A is neither greater than nor equal to B'.
    'A@B' means 'A is not smaller than B'.

    Statements: P $ Q, R @ S, P * R
    Conclusions: I. Q * R   II. P # S
  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.

  3. In the following questions, the symbols, #, $, ?, * and @ are used with the following meanings:
    'A#B' means 'A is not greater than B'.
    'A$B' means 'A is neither smaller than nor equal to B'.
    'A?B' means 'A is neither greater than nor smaller than B'.
    'A*B' means 'A is neither greater than nor equal to B'.
    'A@B' means 'A is not smaller than B'.

    Statements: U $ V, W * X, U @ X
    Conclusions: I. V @ X  II. P * X
  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.

  5. In the following questions, the symbols, #, $, ?, * and @ are used with the following meanings:
    'A#B' means 'A is not greater than B'.
    'A$B' means 'A is neither smaller than nor equal to B'.
    'A?B' means 'A is neither greater than nor smaller than B'.
    'A*B' means 'A is neither greater than nor equal to B'.
    'A@B' means 'A is not smaller than B'.

    Statements: K # T, D $ F, T * F
    Conclusions: I. K * D  II. D $ T
  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.

  7. In the following questions, the symbols, #, $, ?, * and @ are used with the following meanings:
    'A#B' means 'A is not greater than B'.
    'A$B' means 'A is neither smaller than nor equal to B'.
    'A?B' means 'A is neither greater than nor smaller than B'.
    'A*B' means 'A is neither greater than nor equal to B'.
    'A@B' means 'A is not smaller than B'.

    Statements: M $ N, G @ H, N ? H
    Conclusions: I. M @ H   II. M $ G
  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.

  9. In the following questions, the symbols, #, $, ?, * and @ are used with the following meanings:
    'A#B' means 'A is not greater than B'.
    'A$B' means 'A is neither smaller than nor equal to B'.
    'A?B' means 'A is neither greater than nor smaller than B'.
    'A*B' means 'A is neither greater than nor equal to B'.
    'A@B' means 'A is not smaller than B'.

    Statements: G @ M, N # L, G * L
    Conclusions: I. G @ N  II. L $ M
  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.

  11. In the following questions the symbols @, @, =, © and are used with the following meanings:
    'P@Q' means 'P is greater than Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P=Q' means 'P is equal to Q'.
    'P©Q' means 'P is smaller than Q'.
    'P@Q' means 'P is either smaller than or equal to Q'.

    Statements: B @ V, K © C, C © B
    Conclusions: I. V @ C  II. B @ K
  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.

  13. In the following questions the symbols @, @, =, © and are used with the following meanings:
    'P@Q' means 'P is greater than Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P=Q' means 'P is equal to Q'.
    'P©Q' means 'P is smaller than Q'.
    'P@Q' means 'P is either smaller than or equal to Q'.

    Statements: K @ T, S = K, M © R
    Conclusions: I. S @ R   II. T = R
  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.

  15. In the following questions the symbols @, @, =, © and are used with the following meanings:
    'P@Q' means 'P is greater than Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P=Q' means 'P is equal to Q'.
    'P©Q' means 'P is smaller than Q'.
    'P@Q' means 'P is either smaller than or equal to Q'.

    Statements: U = M, P @ U, M @ B
    Conclusions: I. P = B   II. P @ B
  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.

  17. In the following questions the symbols @, @, =, © and are used with the following meanings:
    'P@Q' means 'P is greater than Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P=Q' means 'P is equal to Q'.
    'P©Q' means 'P is smaller than Q'.
    'P@Q' means 'P is either smaller than or equal to Q'.

    Statements: L @ N, J © P, P @ L
    Conclusions: I. J = L   II. P = N
  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.

  19. In the following questions the symbols @, @, =, © and are used with the following meanings:
    'P@Q' means 'P is greater than Q'.
    'P@Q' means 'P is either greater than or equal to Q'.
    'P=Q' means 'P is equal to Q'.
    'P©Q' means 'P is smaller than Q'.
    'P@Q' means 'P is either smaller than or equal to Q'.

    Statements: H @ G, D @ E, H = E
    Conclusions: I. D @ H  II. G © D
  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.