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Question Details

Simplify the given expression.

[3×6-3{2(2÷12-2)+2÷12}-18]

Options

A

-18

B

18

C

24

D

-24

Show Answer

Correct Answer :

Option D

-24

Solution :

The correct option is -24.

To simplify the given expression:

[3×6-3{2(2÷12-2)+2÷12}-18]

We use BODMAS/PEMDAS rule step-by-step:

Step 1: Solve the innermost parenthetical term (2÷12-2):

2÷12=2×2=4

4-2=2

Step 2: Solve the expression inside the curly brackets {2(2)+2÷12}:

2÷12=4

2×2+4=4+4=8

Step 3: Substitute back into the outer square bracket expression:

[3×6-3(8)-18]

=[18-24-18]

=-24

Hence, the final answer is -24.

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