A) \[\frac{8}{18}\]
B) \[\frac{9}{100}\]
C) \[\frac{10}{81}\]
D) \[\frac{9}{121}\]
Correct Answer: B
Solution :
In given series, numerators form a series of odd numbers while denominators form a series of squares of even numbers. \[\frac{1}{4}=\frac{1}{{{2}^{2}}};\,\frac{3}{16}=\frac{3}{{{4}^{2}}};\,\frac{5}{36}\,=\frac{5}{{{6}^{2}}};\] \[\frac{7}{64}=\frac{7}{{{8}^{2}}};\,\frac{11}{144}=\frac{11}{{{12}^{2}}}\] Fraction in place of \[*=\frac{9}{{{10}^{2}}}=\frac{9}{100}\]
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