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Logical Reasoning :: Mathematical and Computer Operations

Mathematical and Computer Operations - Mathematical and Computer Operations
  1. In the following questions, symbols #, $, @, * and © are used with the following meaning as illustrated below:
    'P#Q' means 'P is not smaller than Q'.
    'P$Q' means 'P is neither smaller than nor greater than Q'.
    'P@Q' means 'P is neither greater than nor equal to Q'.
    'P*Q' means 'P is not greater than Q'.
    'P©Q' means 'P is neither smaller than nor equal to Q'.

    Statements: M © R, R @ K, K $ T
    Conclusions: I. T © R   II. T © M
    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, @, #, $, * and % are used as illustrated below:
    'P@Q' means 'P is not smaller than Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.
    'P$Q' means 'P is neither smaller than nor greater than Q'.
    'P*Q' means 'P is not greater than Q'.
    'P%Q' means 'P is not greater than Q'.

    Statements: M $ K, D * K, R # K
    Conclusions: I. D $ M   II. m % D
    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, @, #, $, * and % are used as illustrated below:
    'P@Q' means 'P is not smaller than Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.
    'P$Q' means 'P is neither smaller than nor greater than Q'.
    'P*Q' means 'P is not greater than Q'.
    'P%Q' means 'P is not greater than Q'.

    Statements: F * M, M % R, E @ F
    Conclusions: I. M % E    II. R @ E
    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, @, #, $, * and % are used as illustrated below:
    'P@Q' means 'P is not smaller than Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.
    'P$Q' means 'P is neither smaller than nor greater than Q'.
    'P*Q' means 'P is not greater than Q'.
    'P%Q' means 'P is not greater than Q'.

    Statements: H $ K, T # H, W * T
    Conclusions: I. K % W   II. T # K
    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, @, #, $, * and % are used as illustrated below:
    'P@Q' means 'P is not smaller than Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.
    'P$Q' means 'P is neither smaller than nor greater than Q'.
    'P*Q' means 'P is not greater than Q'.
    'P%Q' means 'P is not greater than Q'.

    Statements: N % A, A # L, F $ N
    Conclusions: I. L % A   II. F % A
    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, @, #, $, * and % are used as illustrated below:
    'P@Q' means 'P is not smaller than Q'.
    'P#Q' means 'P is neither greater than nor equal to Q'.
    'P$Q' means 'P is neither smaller than nor greater than Q'.
    'P*Q' means 'P is not greater than Q'.
    'P%Q' means 'P is not greater than Q'.

    Statements: B * D, D $M, F % M
    Conclusions: I. B #M  II. F > B
    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 @, +, ©, $, âˆ† and ? are used with the following meaning:
    'P∆Q' means 'P is not equal to Q'.
    'P@Q' means 'P is greater than Q'.
    'P+Q' means 'P is smaller than Q'.
    'P©Q' means 'P is either greater than or equal to Q'.
    'P$Q' means 'P is either smaller than or equal to Q'.
    'P?Q' means 'P is equal to Q'.
    Now each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given them is/are definitely true. Give answer.

    Statements: K © M, M âˆ† R, R ? T
    Conclusions: I. K © T    II. M ? T
    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 @, +, ©, $, ? and ? are used with the following meaning:
    'P?Q' means 'P is not equal to Q'.
    'P@Q' means 'P is greater than Q'.
    'P+Q' means 'P is smaller than Q'.
    'P©Q' means 'P is either greater than or equal to Q'.
    'P$Q' means 'P is either smaller than or equal to Q'.
    'P?Q' means 'P is equal to Q'.
    Now each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given them is/are definitely true. Give answer.

    Statements: B + D, D @ N, N $ H
    Conclusions: I. H © D   II. H © 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 @, +, ©, $, ? and ? are used with the following meaning:
    'P?Q' means 'P is not equal to Q'.
    'P@Q' means 'P is greater than Q'.
    'P+Q' means 'P is smaller than Q'.
    'P©Q' means 'P is either greater than or equal to Q'.
    'P$Q' means 'P is either smaller than or equal to Q'.
    'P?Q' means 'P is equal to Q'.
    Now each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given them is/are definitely true. Give answer.

    Statements: M © K, K @ P, P $ N
    Conclusions: I. M @ N   II. M ? 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 @, +, ©, $, ? and ? are used with the following meaning:
    'P?Q' means 'P is not equal to Q'.
    'P@Q' means 'P is greater than Q'.
    'P+Q' means 'P is smaller than Q'.
    'P©Q' means 'P is either greater than or equal to Q'.
    'P$Q' means 'P is either smaller than or equal to Q'.
    'P?Q' means 'P is equal to Q'.
    Now each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given them is/are definitely true. Give answer.

    Statements: T $ M, M ? Q, Q + R
    Conclusions: I. Q @ T   II. Q ? T
    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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