Multiple Choice Questions on If a b 4 and a2 b2 40 where a and b are positive integers then a3 b6 is equal to ........ for CDS Exam Preparation

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Multiple Choice Questions

If a b 4 and a2 b2 40 where a and b are positive integers then a3 b6 is equal to ........

Quantitative Aptitude (CDS) Algebra
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    If a - b = 4 and a2 + b2 = 40, where a and b are positive integers, then a3 + b6 is equal to

    264

    Incorrect Answer

    280

    Correct Answer

    300

    Incorrect Answer

    324

    Incorrect Answer
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    Explanation:

    a2+b2=40
    ⇒(b+4)2+b2=40
    ⇒2b2+8b−24=0
    ⇒b2+4b−12=0
    ⇒(b+6)(b+2)=0
    ⇒b=2,−6
    But, it is given that b is positive.
    ∴b=2
    ⇒a=b+4=2+4=6
    ∴a3+b6=63+26
    =216+64=280

    By: Munesh Kumari
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