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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 not smaller than Q'.
    'P©Q' means 'P is neither greater than nor smaller than Q'.
    'P@Q' means 'P is not greater than Q'.
    'P*Q' means 'P is neither smaller than nor equal to Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.

    Statements: Z $ K, K * T, T © F
    Conclusions: I. F # Z   II. Z * T
    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 not smaller than Q'.
    'P©Q' means 'P is neither greater than nor smaller than Q'.
    'P@Q' means 'P is not greater than Q'.
    'P*Q' means 'P is neither smaller than nor equal to Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.

    Statements: K * B, B @ D, D # K
    Conclusions: I. B @ K   II. B # K
    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 not smaller than Q'.
    'P©Q' means 'P is neither greater than nor smaller than Q'.
    'P@Q' means 'P is not greater than Q'.
    'P*Q' means 'P is neither smaller than nor equal to Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.

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

    Statements: S $ T, T @ R, R # M
    Conclusions: I. M * T  II. M © T
    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 not smaller than Q'.
    'P©Q' means 'P is neither greater than nor smaller than Q'.
    'P@Q' means 'P is not greater than Q'.
    'P*Q' means 'P is neither smaller than nor equal to Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.

    Statements: H @ V, V © M, M * R
    Conclusions; I. R * H   II. H * R
    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 the following meaning:
    'P×Q' means 'P is neither smaller nor greater than Q'.
    'P@R' means 'P is neither equal to nor greater than Q'.
    'P*Q' means 'P is either equal to or smaller than Q'.
    'P+Q' means 'P is neither equal to nor smaller than Q'.

    Statements: D * F, F $ M, M @ K
    Conclusions: I. F @ K   II. D @ K
    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 the following meaning:
    'P×Q' means 'P is neither smaller nor greater than Q'.
    'P@R' means 'P is neither equal to nor greater than Q'.
    'P*Q' means 'P is either equal to or smaller than Q'.
    'P+Q' means 'P is neither equal to nor smaller than Q'.

    Statements: K + M, M * R, R Ã— T
    Conclusions; I. K + T   II. T + M

    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 the following meaning:
    'P×Q' means 'P is neither smaller nor greater than Q'.
    'P@R' means 'P is neither equal to nor greater than Q'.
    'P*Q' means 'P is either equal to or smaller than Q'.
    'P+Q' means 'P is neither equal to nor smaller than Q'.

    Statements: T @ M, M * R, R Ã— N
    Conclusions: I. M Ã— N   II. M @ N
    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 the following meaning:
    'P×Q' means 'P is neither smaller nor greater than Q'.
    'P@R' means 'P is neither equal to nor greater than Q'.
    'P*Q' means 'P is either equal to or smaller than Q'.
    'P+Q' means 'P is neither equal to nor smaller than Q'.

    Statements: B $ N, N Ã— R, R + T
    Conclusions: I. B $ R   II. T @ N
    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 the following meaning:
    'P×Q' means 'P is neither smaller nor greater than Q'.
    'P@R' means 'P is neither equal to nor greater than Q'.
    'P*Q' means 'P is either equal to or smaller than Q'.
    'P+Q' means 'P is neither equal to nor smaller than Q'.

    Statements: N Ã— P, K + P, Q @ K
    Conclusions; I. K + N  II. Q + N
    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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