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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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