Algebra MCQs
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Question 12medium
If $$\frac{{x + y}}{z} = 2,$$ then what is the value of $$\left[ {\frac{y}{{y - z}}} \right] + \left[ {\frac{x}{{x - z}}} \right]?$$
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Question 13medium
If $$x = \frac{{4ab}}{{a + b}}{\text{ }}a \ne b,$$ the value of $$\frac{{x + 2a}}{{x - 2a}}$$ + $$\frac{{x + 2b}}{{x - 2b}}$$ is?
Question 14medium
If a + b + c = 6, a3 + b3 + c3 - 3abc = 342, then what is the value of ab + bc + ca?
Question 15medium
If x = 332, y = 333, z = 335, then the value of x3 + y3 + z3 - 3xyz is?
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Question 16medium
If $$x = \root 3 \of {2 + \sqrt 3 } {\text{,}}$$ then the value of $${x^3}{\text{ + }}\frac{1}{{{x^3}}}$$ is?
Question 17medium
If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x3 + y3 + z3 - 3xyz will be?