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Find the value of [(605)×{564+143×(9−6)}]\Biggl[\left(\frac{60}{5}\right) \times \left\{\frac{56}{4} + \frac{14}{3} \times (9 - 6)\right\}\Biggr]
Question

Find the value of [(605)×{564+143×(96)}]\Biggl[\left(\frac{60}{5}\right) \times \left\{\frac{56}{4} + \frac{14}{3} \times (9 - 6)\right\}\Biggr]​​

A.

347

B.

336

C.

349

D.

325

Correct option is B

Given: 

[(605)×{564+143×(96)}]\Biggl[\left(\frac{60}{5}\right) \times \left\{\frac{56}{4} + \frac{14}{3} \times (9 - 6)\right\}\Biggr] 

Concept Used: 

Operation preference wise

Symbol

Brackets

[], {}, ()

Orders, of

x (power), √ (root), of

Division

÷

Multiplication

×

Addition

+

Subtraction

-

Solution: 

[(605)×{564+143×(96)}] =[(605)×{564+143×(3)}] =[(605)×{14+14}] =[(605)×{28}] =[(12)×{28}] =336\Biggl[\left(\frac{60}{5}\right) \times \left\{\frac{56}{4} + \frac{14}{3} \times (9 - 6)\right\}\Biggr] \\ \ \\ = \Biggl[\left(\frac{60}{5}\right) \times \left\{\frac{56}{4} + \frac{14}{3} \times (3)\right\}\Biggr] \\ \ \\ = \Biggl[\left(\frac{60}{5}\right) \times \left\{14 + 14\right\}\Biggr] \\ \ \\ = \Biggl[\left(\frac{60}{5}\right) \times \left\{28\right\}\Biggr]\\ \ \\ = \Biggl[\left(12\right) \times \left\{28\right\}\Biggr] \\ \ \\ = 336​​

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