6th Class Mathematics Arithmetic Question Bank Arithmetic

  • question_answer What fraction will come in place of * ? \[\frac{1}{4},\,\frac{3}{16},\,\frac{5}{36},\,\frac{7}{64},\,*,\,\frac{11}{144}\].

    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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