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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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