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Fine the simplified value of [(17×3)×{7÷7×(18−142)}]\left[ \left( 17 \times 3 \right) \times \left\{ 7 \div 7 \times \left( 18 - \frac{14}{2} \ri
Question

Fine the simplified value of [(17×3)×{7÷7×(18142)}]\left[ \left( 17 \times 3 \right) \times \left\{ 7 \div 7 \times \left( 18 - \frac{14}{2} \right) \right\} \right].​

A.

102

B.

441

C.

561

D.

321

Correct option is C

Given: 

[(17×3)×{7÷7×(18142)}]\left[ \left( 17 \times 3 \right) \times \left\{ 7 \div 7 \times \left( 18 - \frac{14}{2} \right) \right\} \right] 

Concept Used: 

Operation preference wise

Symbol

Brackets

[], {}, ()

Orders, of

x (power), √ (root), of

Division

÷

Multiplication

×

Addition

+

Subtraction

-

Solution: 

[(17×3)×{7÷7×(18142)}] =[(17×3)×{1×(11)}] =[(51)×{11}] =561\left[ \left( 17 \times 3 \right) \times \left\{ 7 \div 7 \times \left( 18 - \frac{14}{2} \right) \right\} \right] \\ \ \\ = \left[ \left( 17 \times 3 \right) \times \left\{ 1 \times \left( 11 \right) \right\} \right]\\ \ \\ = \left[ \left( 51 \right) \times \left\{ 11 \right\} \right]\\ \ \\ = 561​​

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