Algebra Questions and Answers

  • Q1:

    If \(x + y = 2\), then the value of \(x^4 + y^4 - x^3y^2 - x^2y^3 + 16xy\) is equal to

    1. (A)16
    2. (B)32
    3. (C)4
    4. (D)2
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  • Q2:

    If the roots of the equation \(ax^2 + 2bx + c = 0\) are \(\alpha \text{ and } \beta \) is equal to 

    1. (A)\(\frac{2b}{ac}\)
    2. (B)\(-\frac{2b}{\sqrt ac}\)
    3. (C)\(\frac{2b}{\sqrt ac}\)
    4. (D)\(\frac{-b}{\sqrt ac}\)
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  • Q3:

    If \(2^x = 4^y = 8^z\) and \(xyz = 288\), then \(\frac{1}{2x} + \frac{1}{4y} + \frac{1}{8z}\) is equal to 

    1. (A)\(\frac{11}{8}\)
    2. (B)\(\frac{11}{24}\)
    3. (C)\(\frac{11}{48}\)
    4. (D)\(\frac{11}{96}\)
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  • Q4:

    if  \( \Big(\frac{a}{b} \Big)^{x-1} = \Big(\frac{b}{a}\Big)^{x-3}\), then the value of x is 

    1. (A)1
    2. (B)2
    3. (C)3
    4. (D)4
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  • Q5:

    The solution of the equation \(2^{x-7} = 256\) is

    1. (A)7
    2. (B)8
    3. (C)15
    4. (D)1
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