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    Find the value of [(90÷3)×{637+283×(8−3)}]\left[(90 ÷ 3) × \left\{\frac{63}7+\frac{28}3 × (8 - 3)\right\}\right][(90÷3)×{763​+328​×(8−3)}]​​
    Question

    Find the value of [(90÷3)×{637+283×(83)}]\left[(90 ÷ 3) × \left\{\frac{63}7+\frac{28}3 × (8 - 3)\right\}\right]​​

    A.

    1127

    B.

    1502

    C.

    1091

    D.

    1670

    Correct option is D

    Given: 

    [(90÷3)×{637+283×(83)}]\left[(90 ÷ 3) × \left\{\frac{63}7+\frac{28}3 × (8 - 3)\right\}\right] 

    Concept Used: 

    Operation preference wise

    Symbol

    Brackets

    [], {}, ()

    Orders, of

    x (power), √ (root), of

    Division

    ÷

    Multiplication

    ×

    Addition

    +

    Subtraction

    -

    Solution: 

    [(90÷3)×{637+283×(83)}] =[(30)×{9+283×(5)}] =[(30)×{9+1403}] =[(30)×{27+1403}] =[(30)×{1673}] =[10×167] =1670\left[(90 ÷ 3) × \left\{\frac{63}7+\frac{28}3 × (8 - 3)\right\}\right] \\ \ \\ = \left[(30) × \left\{9+\frac{28}3 × (5)\right\}\right] \\ \ \\ = \left[(30) × \left\{9 + \frac{140}3 \right\}\right] \\ \ \\ = \left[(30) × \left\{ \frac{27+140}3 \right\}\right]\\ \ \\ = \left[(30) × \left\{ \frac{167}3 \right\}\right] \\ \ \\ = \left[10 ×167\right] \\ \ \\ = 1670​​

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