Mathematical operation and symbol notation


Direction: What should be the correct signs to balance the following equations ?

  1. 6   5   4 = 34









  1. View Hint View Answer Discuss in Forum

    Let us check all the options one by one.
    From option (a),
    6 - 5 + 4 = 34 (using VBODMAS rule)

    Correct Option: B

    Let us check all the options one by one.
    From option (a),
    6 - 5 + 4 = 34 (using VBODMAS rule)
    ⇒ 10 - 5 = 34 ⇒ 5 = 34
    ∴ LHS ≠ RHS
    So, option (a) is incorrect
    From option (b),
    6 x 5 + 4 = 34 (using VBODMAS rule)
    ⇒ 30 + 4 = 34 ⇒ 34 = 34
    ⇒ LHS = RHS
    So, option (b) gives us the correct answer and hence, there is no need to check remaining options.


  1. If '@' means 'x', 'c' means '÷' % means (+) and '$' means '-', then 6%12C3@8   $   3 = ?











  1. View Hint View Answer Discuss in Forum

    ∵ 6%12C3@8   $   3 = ?
    After replacing the sign according to the question
    ⇒ 6 + 12 ÷ 3 x 8 - 3 = ?
    Apply the BODMAS Rule

    Correct Option: B

    ∵ 6%12C3@8   $   3 = ?
    After replacing the sign according to the question
    ⇒ 6 + 12 ÷ 3 x 8 - 3 = ?
    Apply the BODMAS Rule
    ⇒ 6 + 4 x 8 - 3 = ?
    ⇒ 6 + 32 - 3 = ?
    ⇒ 38 - 3 = ?
    ∴ ? = 35



  1. If S means '-', Q means 'x' , R means '÷' and P means '+' then
    1   P   45   R   2   Q   2   S   4 = ?











  1. View Hint View Answer Discuss in Forum

    After replacing the sign according to question
    1   P   45   R   2   Q   2   S   4
    = 1 + 45 ÷ 2 x 2 - 4

    Correct Option: B

    After replacing the sign according to question
    1   P   45   R   2   Q   2   S   4
    Apply the BODMAS Rule
    = 1 + 45 ÷ 2 x 2 - 4
    = 1 + 22.5 x 2 - 4
    = 1 + 45 - 4 = 42


Direction: In each of the following questions, all the equations except one have been solved according to a certain rule. You are required to solve the unsolved equation following the same rule and to choose the correct answer out of the given options.

  1. 4 - 4 = 17, 6 - 6 = 37, 2 - 2 = 5, 5 - 5 = ?









  1. View Hint View Answer Discuss in Forum

    As, 4 - 4 ⇒ 4 x 4 + 1 = 17
    6 - 6 ⇒ 6 x 6 + 1 = 37

    Correct Option: B

    As, 4 - 4 ⇒ 4 x 4 + 1 = 17
    6 - 6 ⇒ 6 x 6 + 1 = 37
    2 - 2 ⇒ 2 x 2 + 1 = 5
    Similarly, 5 - 5 ⇒ 5 x 5 + 1 = 26
    ∴ ? = 26



  1. Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
    40 * 2 * 4 * 3 * 8









  1. View Hint View Answer Discuss in Forum

    Given, 40* 2* 4 * 3 * 8
    Let us check all the options one by one.
    From option (a), putting the signs in given equation, we get
    40 + 2 - 4 ÷ 3
    = 8 ⇒ 42 - 4/3 = 8
    ⇒ 126 - 4 = 24 ⇒ 122 = 24
    ∴ L H S ≠ R H S
    So, option (a) is incorrect.
    From option (b), putting the signs in given equation, we get
    40 ÷ 2 + 4 = 3 x 8
    ⇒ 20 + 4 = 24 ⇒ 24 = 24

    Correct Option: B

    Given, 40* 2* 4 * 3 * 8
    Let us check all the options one by one.
    From option (a), putting the signs in given equation, we get
    40 + 2 - 4 ÷ 3
    = 8 ⇒ 42 - 4/3 = 8
    ⇒ 126 - 4 = 24 ⇒ 122 = 24
    ∴ L H S ≠ R H S
    So, option (a) is incorrect.
    From option (b), putting the signs in given equation, we get
    40 ÷ 2 + 4 = 3 x 8
    ⇒ 20 + 4 = 24 ⇒ 24 = 24
    LHS = RHS
    Hence, option (b) is correct and there is no need to check remaining options.