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The simplified value of 83 – [84 – (96 ÷ 4 – (16 – 36 ÷ 9) ÷ 2)] is:
Question

The simplified value of 83 – [84 – (96 ÷ 4 – (16 – 36 ÷ 9) ÷ 2)] is:

A.

18

B.

17

C.

14

D.

22

Correct option is B

Given:
Expression: 83 - [84 - (96 ÷ 4 - (16 - 36 ÷ 9) ÷ 2)]

Formula Used:
BODMAS Rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction)

Solution:
83 - [84 - (96 ÷ 4 - (16 - 36 ÷ 9) ÷ 2)]

= 83 - [84 - (96 ÷ 4 - (16 - 4) ÷ 2)]

= 83 - [84 - (96 ÷ 4 - (12) ÷ 2)]

= 83 - [84 - (24 - (12) ÷ 2)]

= 83 - [84 - (24 - 6)]

= 83 - [84 - (18)]

= 83 - [66]

= 17

Final Answer
So the correct answer is (b)

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