Multiple Choice Questions on If a b c 12 and a2 b2 c2 44 then ab c a b is equal to ........ for SSC (CPO) Exam Preparation

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Multiple Choice Questions

If a b c 12 and a2 b2 c2 44 then ab c a b is equal to ........

Quantitative Aptitude (CPO) Algebra
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    If a + b + c = 12 and a2 + b2 + c2 = 44, then ab + c(a + b). is equal to

    40

    Incorrect Answer

    30

    Incorrect Answer

    50

    Correct Answer

    60

    Incorrect Answer
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    Explanation:

    (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc 
    Given, a + b + c = 12 and a2 + b2 + c2 = 44 
    ⇒ 122 = 44 + 2ab + 2ac + 2bc 
    ⇒ 144 = 44 + 2(ab + ac + bc) 
    ⇒ ab + ac + bc = 50 
    ⇒ ab + c(a + b) = 50

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