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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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