41. If $${\left( {{\text{ }}a + \frac{1}{a}} \right)^2} = 3{\text{,}}$$ then the value of a18 + a12 + a6 + 1 is?
42. When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double of remainder. If the remainder is 80, then the value of x is?
43. If p = 99, then the value of p(p2 + 3p + 3) is?
44. If the sum of square of two real numbers is 41, and their sum is 9. Then the sum of cubes of these two numbers is ?
45. A complete factorisation of x4 + 64 is?
46. The simplified value of $$\left( {1 - \frac{{2xy}}{{{x^2} + {y^2}}}} \right)$$ $$ ÷ $$ $$\left( {\frac{{{x^3} - {y^3}}}{{x - y}} - 3xy} \right)$$ is?
47. If x2 + y2 + 2x +1 = 0, then the value of x31 + y35 is?
48. If $$x = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$ and $${\text{y}} = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}{\text{,}}$$ then the value of $$\frac{{{x^2} + xy + {y^2}}}{{{x^2} - xy + {y^2}}}$$ is?
49. If x4 + 2x3 + ax2 + bx + 9 is a perfect square where a and b are positive real numbers, then the value of a and b is?
50. If a2 + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20 then the value of $$\frac{{a + b + c}}{{x + y + z}}$$ = ?
Read More Section(Algebra)
Each Section contains maximum 100 MCQs question on Algebra. To get more questions visit other sections.