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    The value of 69 - 4 × [ 4 + 3 × { 20 - 5 ( 7 - 5 ) × 2} ÷ 29] is:
    Question

    The value of 69 - 4 × [ 4 + 3 × { 20 - 5 ( 7 - 5 ) × 2} ÷ 29] is:

    A.

    54

    B.

    45

    C.

    46

    D.

    53

    Correct option is D

    Given: 

    69 - 4 × [ 4 + 3 × { 20 - 5 ( 7 - 5 ) × 2} ÷ 29] 

    Concept Used: 

    Operation preference wise

    Symbol

    Brackets

    [], {}, ()

    Orders, of

    x (power), √ (root), of

    Division

    ÷

    Multiplication

    ×

    Addition

    +

    Subtraction

    -

    Solution: 

    69 - 4 × [ 4 + 3 × { 20 - 5 ( 7 - 5 ) × 2} ÷ 29] 

    = 69 - 4 × [ 4 + 3 × { 20 - 5 ( 2) × 2} ÷ 29] 

    = 69 - 4 × [ 4 + 3 × { 20 - 10 × 2} ÷ 29] 

    = 69 - 4 × [ 4 + 3 × { 20 - 20} ÷ 29] 

    = 69 - 4 × [ 4 + 3 × 0 ÷ 29] 

    = 69 - 4 × [ 4 + 0]

    = 69 - 4 × [ 4 ]  

    = 69 - 16 

    = 53 

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