Multiple Choice Questions on I 6x2 13x 6 0 II 15y2 13y 2 0 ........ for SBI(PO) Exam Preparation

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Multiple Choice Questions

I 6x2 13x 6 0 II 15y2 13y 2 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. 6x2 + 13x + 6 = 0

    II. 15y2 + 13y + 2 = 0

    y > x

    Incorrect Answer

    x > y

    Incorrect Answer

    x ≤ y

    Correct Answer

    x ≥ y

    Incorrect Answer

    x = y or no relation can be established

    Incorrect Answer
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    Explanation:
    I. 6x2 + 13x + 6 = 0
    ⇒ 6x2 + 9x + 4x + 6 = 0
    ⇒ 3x(2x + 3) + 2(2x + 3) = 0
    ⇒ (3x + 2)(2x + 3) = 0
    ⇒ x = -2/3,-3/2
    II. 15y2 + 13y + 2 = 0
    ⇒ 15y2 + 10y + 3y + 2 = 0
    ⇒ 5y(3y + 2) +1(3y + 2) = 0
    ⇒ (3y + 2)(5y + 1) = 0
    ⇒ y =-2/3,-1/5
    Thus, x ≤ y

    By: Munesh Kumari
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