Simple and Decimal fraction 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). The greatest among the numbers \( \Large \sqrt[4]{2}, \sqrt[5]{3}, \sqrt[10]{6} \  and  \  \sqrt[20]{15} \) is
A). \( \Large \sqrt[20]{15} \)
B). \( \Large \sqrt[4]{2} \)
C). \( \Large \sqrt[5]{3} \)
D). \( \Large \sqrt[10]{6} \)
22). If the fraction \( \Large \frac{a}{b} \) is positive, then which of the following must be true?
A). a > 0
B). b > 0
C). ab > 0
D). a + b > 0
23). If 1.5 x = 0.04 y, then find the value \( \Large \left(\frac{y-x}{y + x}\right) \)
A). \( \Large \frac{730}{77} \)
B). \( \Large \frac{73}{77}\)
C). \( \Large \frac{73}{770}\)
D). \( \Large \frac{703}{77}\)
24). If 0.764y = 1.236x, then what is the value of \( \Large \frac{y - x}{y + x} \)?
A). 0.764
B). 0.236
C). 2
D). 0.472
25). Find the HCF of \( \Large \frac{5}{6} \),\( \Large \frac{5}{18} \) and \( \Large \frac{25}{32} \)
A). 0.052
B). 0.698
C). 0.75
D). Cannot be determined


26). The pair of rational numbers that lies between \( \Large \frac{1}{4} \ and \ \frac{3}{4} \) is
A). \( \Large \frac{262}{1000},\frac{752}{1000} \)
B). \( \Large \frac{24}{100},\frac{74}{100} \)
C). \( \Large \frac{9}{40},\frac{31}{40} \)
D). \( \Large \frac{252}{1000},\frac{748}{1000} \)
27). How many pieces of 13.2 cm can be cut from a 330 cm long rod?
A). 25
B). 28
C). 21
D). 35
28). What is the vlaue of \( \Large 0.007 + 0.00 \bar{7} + 17.\bar{83} + 310.020\bar{2}\)
A). 327.86638
B). 328.644
C). 327.86683
D). \( \Large 327.866\bar{8} \)
29). Representation of \( \Large 0.2 \bar{341} \) in the form P/q where p and q are integers, \( \Large q \ne 0 \), is
A). \( \Large \frac{781}{3330} \)
B). \( \Large \frac{1171}{4995} \)
C). \( \Large \frac{2341}{9990} \)
D). \( \Large \frac{2339}{9990} \)
30). If \( \Large 1\frac{2}{3} \div \frac{2}{7} \times \frac{x}{7} = 1\frac{1}{4} \times \frac{2}{3} \div \frac{1}{6} \) then find the value of x
A). 0.006
B). \( \Large \frac{1}{6} \)
C). 0.6
D). 6
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