Simplification 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
101). \( \Large 16 \times \left(12\frac{5}{12} \times 15\frac{1}{4}\right)-5\frac{1}{2} \times 4\frac{1}{2} \)
A). 3005
B). 3200
C). 2400
D). 3280
102). The value of \( \LARGE \frac{1}{3+\frac{2}{2+\frac{1}{2}}} \)is
A). 45
B). \( \Large \frac{5}{4} \)
C). \( \Large \frac{5}{19} \)
D). \( \Large \frac{19}{5} \)
103). What fraction must be subtracted from the sum \( \Large \frac{1}{4} \) and \( \Large \frac{1}{6} \) to have an average of \( \Large \frac{1}{12} \) of all three fraction
A). \( \Large \frac{1}{2} \)
B). \( \Large \frac{1}{3} \)
C). \( \Large \frac{1}{4} \)
D). \( \Large \frac{1}{6} \)
104). A was asked to find \( \Large \frac{4}{9} \) of a fraction. He made a mistake of dividing the fraction by \( \Large \frac{4}{9} \) and so got an answer which exceeded the correct answer by \( \Large \frac{13}{18} \). The correct answer is.
A). \( \Large \frac{8}{45} \)
B). \( \Large \frac{7}{45} \)
C). \( \Large \frac{6}{39} \)
D). \( \Large \frac{1}{20} \)
105). P varies inversely as Q+3, if p=1, then q=3, when p=1 is
A). \( \Large \frac{1}{3} \)
B). \( \Large \frac{2}{3} \)
C). \( \Large \frac{3}{2} \)
D). \( \Large \frac{1}{6} \)


106). The value of \( \Large \frac{27^{3n+1}.81^{-n}}{9^{n+5}.3^{n-1}} \) is
A). 3
B). \( \Large 3^{n-1} \)
C). \( \Large \frac{1}{3^{6}} \)
D). 1
107). 0.3 can be expressed as a
A). natural number
B). integer
C). rational number
D). irrational number
108). If \( \Large 4^{x+1}-4^{x}=24 \), then the value of \( \Large \left(2x\right)^{x} \) is
A). \( \Large \sqrt{3} \)
B). 3
C). \( \Large 3\sqrt{3} \)
D). 9
109). The value of \( \Large \frac{ \left(81\right)^{0.81} \times 9 }{ \left(81\right)^{0.99} \times 9^{0.64} } \)
A). 9
B). 3
C). 0
D). 1
110). If \( \Large N=M^{2} \) and N is divisible by 80, then M must necessarily be divisible by
A). 80
B). 20
C). 16
D). 8
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