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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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