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Simplify : [72 – 12 ÷ 3 – 2 ]+ ( 18 – 6) ÷ 4 - (6 ÷ 2 + 7 × 4)
Question

Simplify : [72 – 12 ÷ 3 – 2 ]+ ( 18 – 6) ÷ 4 - (6 ÷ 2 + 7 × 4)

A.

30

B.

28

C.

38

D.

42

Correct option is C

Given: Expression: [72 - 12 ÷ 3 - 2] + (18 - 6) ÷ 4 - (6 ÷ 2 + 7 × 4)

Concept: Standard order of operations (BODMAS).

Solution:
Solve the expression step-by-step by evaluating the brackets first.
First bracket: [72 - (12 ÷ 3) - 2] = [72 - 4 - 2] = 66
Second bracket group: (18 - 6) ÷ 4 = 12 ÷ 4 = 3
Third bracket: (6 ÷ 2) + (7 × 4) = 3 + 28 = 31

Now combine the evaluated components according to the original signs:
Expression = 66 + 3 - 31
Expression = 69 - 31 = 38

Final Answer: 38

So the correct answer is (c)

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