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Simplify: [(26÷42)×{8÷2×12−25}÷{4×4÷3}]\left[\left(26 \div \frac{4}{2}\right) \times \left\{8 \div 2 \times \frac{12 - 2}{5} \right\} \div \left\
Question

Simplify: [(26÷42)×{8÷2×1225}÷{4×4÷3}]\left[\left(26 \div \frac{4}{2}\right) \times \left\{8 \div 2 \times \frac{12 - 2}{5} \right\} \div \left\{4 \times 4 \div 3 \right\} \right]

A.

16.5

B.

19.5

C.

30

D.

13

Correct option is B

Given: 

[(26÷42)×{8÷2×1225}÷{4×4÷3}]\left[\left(26 \div \frac{4}{2}\right) \times \left\{8 \div 2 \times \frac{12 - 2}{5} \right\} \div \left\{4 \times 4 \div 3 \right\} \right] 

Concept Used: 

Operation preference wise

Symbol

Brackets

[], {}, ()

Orders, of

x (power), √ (root), of

Division

÷

Multiplication

×

Addition

+

Subtraction

-

Solution: 

[(26÷42)×{8÷2×1225}÷{4×4÷3}]\left[\left(26 \div \frac{4}{2}\right) \times \left\{8 \div 2 \times \frac{12 - 2}{5} \right\} \div \left\{4 \times 4 \div 3 \right\} \right]

[(26×12)×{4×105}÷{4×43}]\left[\left(26 \times \frac{1}{2}\right) \times \left\{4 \times \frac{10}{5} \right\} \div \left\{4 \times \frac4 3 \right\} \right] 

[13×{4×2}÷{163}]\left[13\times \left\{4 \times 2 \right\} \div \left\{\frac{16} 3 \right\} \right] 

[13×8×{316}]\left[13\times 8 \times \left\{\frac{3} {16} \right\} \right] 

13×3213\times \frac{3} {2} 

392\frac{39} {2} 

= 19.5

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