Factorisation Questions and answers

  1. Elementary Mathematics
    1. Quadratic Equations
    2. Simplification
    3. Area and perimeter
    4. Volume and surface area
    5. Geometry
    6. Trigonometry
    7. Polynomials
    8. Height and Distance
    9. Simple and Decimal fraction
    10. Indices and Surd
    11. Logarithms
    12. Trigonometric ratio
    13. Straight lines
    14. Triangle
    15. Circles
    16. Quadrilateral and parallelogram
    17. Loci and concurrency
    18. Statistics
    19. Rectangular and Cartesian products
    20. Rational expression
    21. Set theory
    22. Factorisation
    23. LCM and HCF
    24. Clocks
    25. Real Analysis
41). 41. If \( \Large A^{3}+B^{3}=0 \) which one is true?
A). \( \Large A+B=A^{2}-B^{2} \)
B). \( \Large A+B=A^{2}+B^{2} \)
C). \( \Large A+B=\sqrt{3AB} \)
D). \( \Large A+B=\sqrt{AB} \)
42). 5+10+15+....+105
A). 1100
B). 115
C). 1155
D). 1200
43). \( \Large \sqrt{ \left(x^{2}-4\right) \left(4x^{2}-9x+2\right) \left(4x^{2}+7x-2\right) } \)
A). \( \Large \pm \left(x+2\right) \left(x-2\right) \left(4x+1\right) \)
B). \( \Large \pm \left(x+2\right) \left(x-2\right) \left(4x-1\right) \)
C). \( \Large \pm \left(x-2\right) \left(x-2\right) \left(4x-1\right) \)
D). \( \Large \pm \left(x+2\right) \left(x+2\right) \left(4x+1\right) \)
44). 44. \( \Large \sqrt{248+\sqrt{51+\sqrt{169}}} \) is equal to
A). 14
B). 16
C). 16.6
D). 144
45). \( \Large \frac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}} \)
A). \( \Large \sqrt{2} \)
B). 2
C). 4
D). 8


46). \( \Large \sqrt{\frac{1.21 \times 0.9}{.11 \times 0.11}} \)
A). 2
B). 3
C). 9
D). 11
47). \( \Large \sqrt{\frac{0.289}{0.00121}}=? \)
A). \( \Large \frac{170}{11} \)
B). \( \Large \frac{17}{10} \)
C). \( \Large \frac{0.17}{11} \)
D). \( \Large \frac{17}{11} \)
48). \( \Large \frac{\sqrt{24}+\sqrt{216}}{\sqrt{96}}=? \)
A). \( \Large 2\sqrt{6} \)
B). 2
C). \( \Large 3\sqrt{6} \)
D). \( \Large 6\sqrt{2} \)
49). Sum up to infinity: 1+.01+.0001+.000001=......
A). 1.0100109
B). 1.010109
C). \( \Large \frac{100}{99} \)
D). \( \Large \frac{99}{98} \)
50). The square root of \( \Large 16x^{16} \) is
A). \( \Large 4x^{4} \)
B). \( \Large 8x^{8} \)
C). \( \Large 4x^{8} \)
D). \( \Large 8x^{4} \)
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