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Logical Reasoning :: Mathematical and Computer Operations

Mathematical and Computer Operations - Mathematical and Computer Operations
  1. In the questions 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 equal to B'.
    'A$B' means 'A is either smaller than or equal to B'.
    'A+B' means 'A is smaller than B'.

    Statements: B + D, E $ T, T * P, P @ B
    Conclusions: I. P $ D  II. P @ D
    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 questions 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 equal to B'.
    'A$B' means 'A is either smaller than or equal to B'.
    'A+B' means 'A is smaller than B'.

    Statements: E * F, G $ H, H # E, G @ K
    Conclusions: I. H @ K    II. H * F
    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 questions 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 equal to B'.
    'A$B' means 'A is either smaller than or equal to B'.
    'A+B' means 'A is smaller than B'.

    Statements: P $ Q, N # M, M @ R, R * P
    Conclusions: !. P + N   II Q $ 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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  4. In the questions 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 equal to B'.
    'A$B' means 'A is either smaller than or equal to B'.
    'A+B' means 'A is smaller than B'.

    Statements: D + T, E $ V, F * T, E @ D
    Conclusions: I. D $ V  II. D + F
    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 questions 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 equal to B'.
    'A$B' means 'A is either smaller than or equal to B'.
    'A+B' means 'A is smaller than B'.

    Statements: T * U, U $ W, V @ L, W + V
    Conclusions: I. V @ T   II. L @ W
    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 +, ×, =, ÷ and - are used with 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 + V, W - Y, Y Ã— U
    Conclusions: I. W + U   II. W Ã· V
    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 +, ×, =, ÷ and - are used with 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 Ã· A, D Ã— E, E + A
    Conclusions: I. D + A  II. B Ã· E
    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 +, ×, =, ÷ and - are used with 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: S Ã— Q, R + T, R - S
    Conclusions: I. S + T   II. Q = T
    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 +, ×, =, ÷ and - are used with 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: M Ã· N, P Ã— Q, P + N
    Conclusions: I. N + Q   II. N - Q
    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 +, ×, =, ÷ and - are used with 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: G - H, K Ã— L, L - G
    Conclusions: I. G Ã· K   II. L - H
    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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