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
51). If \( \Large \sqrt{N}-N=\frac{2}{9} \) then
A). \( \Large N = \frac{1}{9} \)
B). \( \Large N = \frac{4}{9} \)
C). \( \Large N = \frac{1}{9}\ or\ \frac{4}{9} \)
D). \( \Large N = \frac{1}{81} \)
52). 52. If \( \Large x=\sqrt{12}-\sqrt{11} y=\sqrt{7}-\sqrt{6} z=\sqrt{6}-\sqrt{5} \)\ then the smallest to biggest is
A). x, y, z
B). x, z, y
C). z, x, y
D). z, y, x
53). Sum of the squares of two consecutive natural number is 165. They are
A). 8, 9
B). 10, 11
C). 11, 12
D). 12, 13
54). The sum of first 50 natural numbers is
A). 2525
B). 1725
C). 1275
D). 2550
55). If 1+2+3+....+100 = \( \Large \frac{100 \times 101}{2} = 5050 then 51+52+...100 equals \)
A). \( \Large \frac{51 \times 52}{2} \)
B). \( \Large \frac{52 \times 53}{2} \)
C). \( \Large \frac{50 \times 51}{2} \)
D). 3775


56). The value of \( \Large \sqrt{43+\sqrt{31+\sqrt{21+\sqrt{11+\sqrt{25}}}}} \)
A). 4
B). 5
C). 6
D). 7
57). The geometric mean of two number is 16. If one number is 32. The other number is
A). 4
B). 6
C). 8
D). 10
58). Correct math of the factors for the expression is
A). x+1
B). x-1
C). x-2
D). x+2
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