Multiple Choice Questions on I x2 minus 14x 13 0 II y2 minus 12y 11 0 ........ for SBI(PO) Exam Preparation

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Multiple Choice Questions

I x2 minus 14x 13 0 II y2 minus 12y 11 0 ........

Quantitative Aptitude (SBI-PO) Quadratic Equations
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    Direction: In the following question two equations are given in variables x and y. You have to solve these equations and determine the relation between x and y.

    I. x2 − 14x + 13 = 0

    II. y2 − 12y + 11 = 0

    y > x

    Incorrect Answer

    x > y

    Incorrect Answer

    x ≤ y

    Incorrect Answer

    x ≥ y

    Incorrect Answer

     x = y or no relation can be established

    Correct Answer
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    Explanation:
    I. x2 − 14x + 13 = 0
    ⇒ x2 − 13x − x + 13 = 0
    ⇒ x(x − 13) − 1(x − 13) = 0
    ⇒ (x − 13)(x − 1) = 0
    ⇒ x = 1, 13
    II. y2 − 12y + 11 = 0
    ⇒ y2 − 11y − y + 11 = 0
    ⇒ y(y − 11) − 1(y − 11) = 0
    ⇒ (y − 11)(y − 1) = 0
    ⇒ y = 1, 11
    Thus, no relation can be established.

    By: Munesh Kumari
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