Mathematical operation and symbol notation


  1. Which of the following sets of operation with the usual notations replacing the starts in the order given makes the statements valid ?
    100 * √16 * √225 * √1
    1. x, =, +
    2. +, =, -
    3. +, =, x
    4. -, x, =

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    100 + √16
    = √225 -√1

    Correct Option: B

    100 + √16
    = √225 -√1
    10 + 4 = 15 - 1
    ⇒ 14 = 14


  1. Select the correct combination of mathematical signs to replace '*' signs and to balance the given equation.
    24 * 34 * 2 * 5 * 12
    1. + ÷ x =
    2. = ÷ + -
    3. = ÷ - +
    4. + ÷ = x

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    From option (c),
    24 = 34 ÷ 2 - 5 + 12
    ⇒ 24 = 17 - 5 + 12
    ⇒ 24 = 29 - 5
    → 24 = 24

    Correct Option: C

    From option (c),
    24 = 34 ÷ 2 - 5 + 12
    ⇒ 24 = 17 - 5 + 12
    ⇒ 24 = 29 - 5
    → 24 = 24



  1. If A means '-' , B means '+', C means 'x', and D means '÷' then 32   D   4   B   7   C   2  A  6
    1. 18
    2. 24
    3. 36
    4. 16
    5. 14

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    After replacing the sign according to the question
    32   D  4   B 7   C 2   A 6
    = 32 ÷ 4 + 7 x 2 - 6 = 8 + 7 x 2 - 6

    Correct Option: D

    32   D  4   B 7   C 2   A 6
    = 32 ÷ 4 + 7 x 2 - 6 = 8 + 7 x 2 - 6
    = 8 + 14 - 6 = 22 - 6 = 16


  1. If K denotes 'X', B denotes '÷', 'T' denotes '-' and 'M' denotes '+', then 40   B   8   T   6   M 3   K   4 = ?
    1. 19
    2. 11
    3. -31
    4. 23
    5. None of these

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    ∵ 40   B   8   T   6   M 3   K   4 = ?
    ⇒ 40 ÷ 8 - 6 + 3 x 4 = ?
    ⇒ 5 - 6 + 12 = ?

    Correct Option: B

    ∵ 40   B   8   T   6   M 3   K   4 = ?
    ⇒ 40 ÷ 8 - 6 + 3 x 4 = ?
    ⇒ 5 - 6 + 12 = ?
    ⇒ 17 - 6 = ?
    ∴ ? = 11



  1. 16 (27) 43, 29 (?) 56, 36 (12) 48
    1. 23
    2. 33
    3. 27
    4. 37

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    Here, Right number - Left number = Middle number

    Correct Option: C

    Here, Right number - Left number = Middle number
    As, 43 - 16 = 27, 48 - 36 = 12
    similarly, 56 - 29 = 27
    ∴ ? = 27