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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 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: P $ Q, Q Ã— R, P + R
    Conclusions: I. Q Ã— P   II. P ? Q
  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:
    '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: A + B, B $ C, C ? A
    Conclusions: I. C $ A   II. B + C

  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:
    '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: Y @ Z, Z Ã— Q, Q $ P
    Conclusions: I. Y ? Q   II. Y ? P
  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:
    '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: E Ã— F, F @ L, L + N
    Conclusions: I. N + F   II. E Ã— L
  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:
    '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
  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 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: M @ T, T + V, V ? E
    Conclusions: I. V + M   II. V ? M
  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 given below, certain symbols are used with the following meanings:
    'A@B' means 'A is greater than B'.
    'A+B' means 'A is either greater than or equal to B'.
    'A÷B' means 'A is smaller than or equal to B'.
    'A×B' means 'A is either smaller than or equal to B'.
    'A$B' means 'A is equal to B'.

    Statements: T $ G, K @ P, M Ã· T, P + M
    Conclusions: I> K @ T   II. G $ P
  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 given below, certain symbols are used with the following meanings:
    'A@B' means 'A is greater than B'.
    'A+B' means 'A is either greater than or equal to B'.
    'A÷B' means 'A is smaller than or equal to B'.
    'A×B' means 'A is either smaller than or equal to B'.
    'A$B' means 'A is equal to B'.

    Statements: G $ K, F @ J, K + Q, Q + F
    Conclusions: I. K $ F   II. F + K
  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 given below, certain symbols are used with the following meanings:
    'A@B' means 'A is greater than B'.
    'A+B' means 'A is either greater than or equal to B'.
    'A÷B' means 'A is smaller than or equal to B'.
    'A×B' means 'A is either smaller than or equal to B'.
    'A$B' means 'A is equal to B'.

    Statements: W @ S, K @ Z, U + W, S $ K
    Conclusions: I. U @ K   II. Z @ S
  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 given below, certain symbols are used with the following meanings:
    'A@B' means 'A is greater than B'.
    'A+B' means 'A is either greater than or equal to B'.
    'A÷B' means 'A is smaller than or equal to B'.
    'A×B' means 'A is either smaller than or equal to B'.
    'A$B' means 'A is equal to B'.

    Statements: G $ E, D Ã· K, E Ã· S, K Ã— G
    Conclusions: I. S @ D  II. D Ã· E
  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.