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Logical Reasoning :: Symbols and Notations

  1. In a certain code language, '+' means '/', '/' means '*', '*' means '-', '-' means '+'.
    (10 - 5) / 50 * (25 * 5) / 40
  2. A.
    -50
    B.
    -550
    C.
    50
    D.
    550
    E.
    650

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  3. In a certain code language, '+' means '*', '*' means '-', '-' means '/' and '/' means '+'.
    16 * 4 / 4 + 14 - 2
  4. A.
    56
    B.
    28
    C.
    40
    D.
    112
    E.
    84

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  5. In a certain code language, '+' means '*', '*' means '-', '-' means '/' and '/' means '+'.
    16 - 2 + 4 / 16 - 8 * 2
  6. A.
    -15
    B.
    2
    C.
    4
    D.
    16
    E.
    32

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  7. In a certain code language, '+' means '/', '/' means '*', '*' means '-', '-' means '+'.
    44 - 11 / 2 * 6 / 6 + 2 - 12
  8. A.
    6.5
    B.
    60
    C.
    104
    D.
    192
    E.
    216

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  9. In a certain code language, '+' means '*', '*' means '-', '-' means '/' and '/' means '+'.
    2 / 4 + 8 - 16 * 32 / 64 * 128 / 256
  10. A.
    4.5
    B.
    164
    C.
    4
    D.
    163
    E.
    27

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  11. In a certain code language, '+' means '/', '/' means '*', '*' means '-', '-' means '+'.
    (13 - 5 * 8 + 4) * (5 - 6 + 12 * 3) / (4 + 2)
  12. A.
    7.5
    B.
    29
    C.
    27
    D.
    -2.5
    E.
    11

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  13. a + b means a is neither less than nor equal to b.
    a - b means a is neither smaller nor greater than b.
    a = b means a is not less than b.
    a * b means a is not greater than b.
    a / b means a is neither greater than nor equal to b.

    Statement: A + B, B * C, C * D
    Conclusions: I. A + D
                         II. A = C
  14. A.
    if only conclusion (I) follows
    B.
    if only conclusion (II) follows
    C.
    if both conclusions (I) and (II) follows
    D.
    if neither (I) nor (II) follows
    E.
    if either conclusion (I) or (II) follows

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  15. a £ b means a is less than or equal to b.
    a $ b means a is greater than or equal to b.
    a ↑ b means a is less than b.
    a ● b means a is greater than b.
    a â–² b means a is equal to b.

    Statement:      W ● X, X £ Y, Y ↑ Z
    Conclusions:    I. W â–² Y
                             II. W ↑ Y
  16. A.
    if only conclusion (I) follows
    B.
    if only conclusion (II) follows
    C.
    if both conclusions (I) and (II) follows
    D.
    if neither (I) nor (II) follows
    E.
    if either conclusion (I) or (II) follows

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  17. p Ûž q means p is neither less than nor equal to q.
    p @ q means p is neither greater than nor equal to q.
    p # q means p is not less than q.
    p ∆ q means p is not greater than q.
    p â–¡ q means p is neither smaller nor greater than q.

    Statement:         k â–¡ l, l ∆ m, m @ n
    Conclusions:       I. l @ n
                               II. m # k
  18. A.
    if only conclusion (I) follows
    B.
    if only conclusion (II) follows
    C.
    if both conclusions (I) and (II) follows
    D.
    if neither (I) nor (II) follows
    E.
    if either conclusion (I) or (II) follows

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  19. P @ Q means P is neither greater than nor equal to Q.
    P # Q means P is not less than Q.
    P $ Q means P is neither greater than nor less than Q.
    P © Q means P is not greater than Q.
    P % Q means P is neither lesser than nor equal to Q.

    Statements:      A % B, B # C, C @ D, D % E
    Conclusions:           I. A % C
                                   II. D @ A
                                  III. B # E
  20. A.
    Only I follows
    B.
    Only II follows
    C.
    Only III follows
    D.
    Either I or II follows
    E.
    None follows

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