Algebra MCQs

542 questionsQuantitative-AptitudePage 10 of 61

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Question 82easy
If $$\frac{{x - {a^2}}}{{b + c}}$$   + $$\frac{{x - {b^2}}}{{c + a}}$$   + $$\frac{{x - {c^2}}}{{a + b}}$$   = 4(a + b + c), then x = ?
Question 83easy
If a2 + b2 = 4b + 6a - 13, then what is the value of a + b?
Question 84easy
If a2 + b2 + 2b + 4a + 5 = 0, then the value of $$\frac{{a - b}}{{a + b}}\,{\text{is?}}$$
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Question 85easy
If $${x^2} + 5x + 6 = 0{\text{,}}$$    then the value of $$\frac{{2x}}{{{x^2} - 7x + 6}}$$   is?
Question 86easy
The value of $$\frac{{0.325 \times 0.325 + 0.175 \times 0.175 + 25 \times 0.00455}}{{5 \times 0.0065 \times 3.25 - 7 \times 0.175 \times 0.025}} - \frac{{0.5}}{{1.5}}{\text{is:}}$$
Question 87easy
If $$x + \frac{1}{x} = 1,$$   then the value of x12 + x9 + x6 + x3 + 1 is:
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Question 88easy
If a3 + 3a2 + 9a = 1, then what is the value of $${a^3} + \frac{3}{a}?$$
Question 89easy
If x + y = 2a, then the value of $$\frac{a}{{x - a}}$$  $$ + $$ $$\frac{a}{{y - a}}$$  is?
Question 90easy
If a2 + b2 + c2 + 27 = 6(a + b + c), then what is the value of $$\root 3 \of {{a^3} + {b^3} - {c^3}} ?$$