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Multiple Choice Questions

What is the HCF of a2b4 2a2b2 and ab 7 ndash 4a2b9 ........

Quantitative Aptitude and Numerical Ability (DRDO) (Phase-i and II) Algebra
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    What is the HCF of a2b4 + 2a2b2 and (ab)7 – 4a2b9?

    ab

    Incorrect Answer

    a2b3

    Incorrect Answer

    a2b2

    Correct Answer

    a3b2

    Incorrect Answer
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    Explanation:

    Let f(x) = a2b4 + 2a2b2 = a2b2(b2 + 2)    
    And g(x) = (ab)7 – 4a2b9 
    =  a7b7 – 4a2b9 
    =  a2b2(a5b5 – 4b7)
    ∴HCF of [f(x), g(x)] = a2b2

    By: Amit Kumar
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