Series Completion Problems and Answers

  • 8. Which fraction will come next, \begin{aligned} \frac{1}{2}, \frac{3}{4}, \frac{5}{8}, \frac{7}{16}, ? \end{aligned}

    1. \begin{aligned} \frac{11}{32} \end{aligned}
    2. \begin{aligned} \frac{9}{28} \end{aligned}
    3. \begin{aligned} \frac{9}{30} \end{aligned}
    4. \begin{aligned} \frac{9}{32} \end{aligned}
    Answer :

    Option D

    Explanation:

    Numerators of the fractions in the given sequence are getting increased by 2, i.e. 1+2,3+2,5+2, so next will be 7+2 = 9

    Denominators of the fractions in the series is getting doubled, 2*2 = 4, 4*2 = 8, 8*2 = 16, no next will be 16*2 = 32

    So resulting fraction will be
    \begin{aligned}
    \frac{9}{32}
    \end{aligned}

  • 9. 1, 2, 5, 12, 27, 58, 121, ?

    1. 248
    2. 244
    3. 198
    4. 190
    Answer :

    Option A

    Explanation:

    Pattern in the series is *2+1, *2+2, *2+3,.....

    Term which replaces the question mark in the series is
    121 * 2 + 6 = 248

  • 10. 13, 35, 57, 79, 911, ?

    1. 1005
    2. 1110
    3. 1113
    4. 1140
    Answer :

    Option C

    Explanation:

    The terms of the given series are numbers formed by joining together consecutive odd numbers in order i.e. 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11, .....

    So, missing term = number formed by joining 11 and 13 = 1113.

  • 11. 3, 12, 27, 48, 75, 108,

    1. 141
    2. 143
    3. 145
    4. 147
    Answer :

    Option D

    Explanation:

    Series is having pattern
    \begin{aligned}
    3*1^2, 3*2^2, 3*3^2, ......\\
    \text{Next will be } 3*7^2 = 147
    \end{aligned}

  • 12. Complete the series, 1, 4, 9, 16, 25,....

    1. 36
    2. 38
    3. 49
    4. 52
    Answer :

    Option A

    Explanation:

    Series Pattern is +3, +5, +7, +9.

    So next number = 25+11 = 36

  • 13. 19, 2, 38, 3, 114, 4, ? . Which term should replace the question mark in this series ?

    1. 340
    2. 380
    3. 456
    4. 486
    Answer :

    Option C

    Explanation:

    Please check the given sequence is combination of two series.
    Series 1: 19, 38, 114, ...
    Series 2: 2,3,4

    In series 1, Pattern followed is *2, *3, so next will be *4
    Next term will be
    114*4 = 456

  • 14. What number should come next in the series, 1, 2, 3, 5, 8, ?

    1. 17
    2. 12
    3. 9
    4. 13
    Answer :

    Option D

    Explanation:

    In this series, each term is the sum of preceding two terms as,
    1+2 = 3
    3+2 = 5
    5+3 = 8
    Next term in the series will be,
    8+5 = 13

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