Multiple Choice Questions on If x 2 then the value of x3 27x2 243x 631 is ........ for NDA Exam Preparation

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Multiple Choice Questions

If x 2 then the value of x3 27x2 243x 631 is ........

Mathematics (NDA) Algebra
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    If x = 2 then the value of x3 + 27x2 + 243x + 631 is:

    1211

    Incorrect Answer
    1231
    Incorrect Answer
    1233
    Correct Answer
    1321
    Incorrect Answer
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    Explanation:

    Given equation,
    f(x) = x3 + 27x2 + 243x + 631
    ⇒ x(x2 + 27x+ 243) + 631
    Now, put the value of x = 2
    ⇒ 2(22 + 27 × 2 + 243) + 631
    ⇒ 2 (4 + 54 + 243) + 631
    ⇒ 2(301) + 631 = 602 + 631 = 1233.
     

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