Multiple Choice Questions on Given Eq 1 x2 8x 15 Eq 2 x2 px 1 HCF of Eq1 amp Eq 2 x 4 Find the value of p ........ for RAS Exam Preparation

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Multiple Choice Questions

Given Eq 1 x2 8x 15 Eq 2 x2 px 1 HCF of Eq1 amp Eq 2 x 4 Find the value of p ........

Quantitative Aptitude (RAS) LCM, HCF
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    Given: 

    Eq 1: x2 - 8x + 15

    Eq 2: x2 - px +1

    HCF of Eq1 & Eq 2 = (x - 4)

    Find the value of p

    6

    Incorrect Answer

    7

    Incorrect Answer

    4

    Correct Answer

    3

    Incorrect Answer
    Explanation:

    (x - 4) is HCF i.e. a factor of both equations
    ∴ The equations must get satisfied for x = 4
    Also, when x = 4, both equations are equal in value.
    Putting x = 4 in both equations
    42 - 8(4) + 15 = 42 - p(4) +1
    ∴ 31 - 32 = 17 - 4p
    ∴ p = 4

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