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
21). Find the value of \( \Large 1^{3}+2^{3}+....+10^{3} \)
A). 2525
B). 3025
C). 4355
D). 5765
22). If a=5, d=3, find 40th term.
A). 122
B). 160
C). 142
D). 124
23). Find the sum 9+15+27+....+195.
A). 3244
B). 3344
C). 3264
D). 3364
24). 24. In an AP the first element is 5. There are 15 terms. The sum is 390. Find the common difference and the value of the middle term.
A). 4, 28
B). 3, 26
C). 5, 30
D). 6, 24
25). In a GP 96, 48, 24 ...... find the value of the 6th term.
A). 3
B). 6
C). \( \Large \frac{3}{4} \)
D). \( \Large \frac{3}{16} \)


26). In a GP 2, 6, 18, 54 .... find how many terms are there, if their sum is 728.
A). 5
B). 6
C). 12
D). 7
27). Find the sum 24+25+....+100
A). 4774
B). 4674
C). 4764
D). 4467
28). Find the sum of 1+3+5+....+45
A). 540
B). 539
C). 529
D). 579
29). Find the sum of \( \Large 21^{2}+22^{2}+....+60^{2} \)
A). 70940
B). 2870
C). 12810
D). 9946
30). Find the sum of \( \Large 1^{3}+2^{3}+....+10^{3} \)
A). 163675
B). 3025
C). 163765
D). cannot be determined
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