Number Series


Direction: Directions : What will come in the place of question mark (?) in the following number.

  1. 4 , 2 , ?, 7.5, 26.25, 118.125
    1. 5
    2. 4
    3. 3.5
    4. 3
    5. 4.5

  1. View Hint View Answer Discuss in Forum

    As per the details in the question the series is in the form of
    First term = 4
    Second term = First term × 0.5
    Second term = 4 × 0.5 = 2
    Third term = Second term × 1.5
    Third term = 2 × 1.5 = ?
    ∴ ? = 3
    Similarly , we can calculate all next terms also.

    Correct Option: D

    As per the details in the question the series is in the form of
    First term = 4
    Second term = First term × 0.5
    Second term = 4 × 0.5 = 2
    Third term = Second term × 1.5
    Third term = 2 × 1.5 = ?
    ∴ ? = 3
    Fourth term = Third term × 2.5
    Fourth term = 3 × 2.5 = 7.5 ;
    Fifth term = Fourth term × 3.5
    Fifth term = 7.5 × 3.5 = 26.25 ;
    Similarly , we can find all others terms also.
    Sixth term = Fifth term × 4.5
    Sixth term = 26.25 × 4.5 = 118.125;
    Hence , Third term = 3


  1. 16, ?, 21, 30, 46, 71, 107
    1. 17
    2. 19
    3. 21
    4. 23
    5. 25

  1. View Hint View Answer Discuss in Forum

    The given series is in the below pattern,
    First term = 16
    Second term = First term + 12 = ?
    Second term = 16 + 12 = 17
    ∴ ? = 17
    Third term = Second term 12 = 15 ;
    Similarly , we can calculate all others terms also.

    Correct Option: A

    The given series is in the below pattern,
    First term = 16
    Second term = First term + 12
    Second term = 16 + 12 = 17
    ∴ ? = 17
    Third term = Second term + 22
    Third term = 17 + 22 = 21
    Fourth term = Third term + 32
    Fourth term = 21 + 32 = 30 ;
    Fifth term = Fourth term + 42
    Fifth term = 30 + 42 = 46 ;
    Similarly , we can find all others terms also.
    Sixth term = Fifth term + 52
    Sixth term = 46 + 52 = 71;
    Seventh term = Sixth term + 62
    Sixth term = 71 + 62 = 107
    Hence , Second term = 17



Direction: In each of the following questions a number series is given. A number is given after the series and then (a), (b), (c), (d) and (e) are given. According to the given series, you have to form a new series which begins with the given number, and then answer the question asked.

  1.  592690
    13(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (e) ?
    1. 2880
    2. 2292
    3. 1716
    4. 3432
    5. None of these

  1. View Hint View Answer Discuss in Forum

    The given series is in the below pattern ,
    First series :-
    First term = 5
    Second term = First term × 1 + 4 = 9
    Third term = Second term × 2 + 8 = 26
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 13
    Second term = First term × 1 + 4 = 17
    Third term = Second term × 2 + 8 = 42

    Correct Option: E

    The given series is in the below pattern ,
    First series :-
    First term = 5
    Second term = First term × 1 + 4
    Second term = 5 × 1 + 4 = 9
    Third term = Second term × 2 + 8
    Third term = 9 × 2 + 8 = 26
    similarly , we can find the all others terms .
    ......... and so on .
    Second series :-
    First term = 13
    Second term = First term × 1 + 4
    Second term = 13 × 1 + 4 = 17
    Third term = Second term × 2 + 8
    Third term = 17 × 2 + 8 = 42
    Fourth term = Third term × 3 + 12
    Fourth term = 42 × 3 + 12 = 138
    Fifth term = Fourth term × 4 + 16
    Fifth term = 138 × 4 + 16 = 568
    Sixth term = Fifth term × 5 + 20
    Sixth term = 568 × 5 + 20 = 2860
    Hence , the place value of ( e ) is 2860 .


  1. 1260628312154
    788(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (d) ?
    1. 194
    2. 45.5
    3. 48
    4. 72.5
    5. None of these.

  1. View Hint View Answer Discuss in Forum

    As per the details of question is given series in the form of ,
    First series :-
    First term = 1260
    Second term = First term ÷ 2 - 2
    Second term = 1260 ÷ 2 - 2 = 628
    Third term = Second term ÷ 2 - 2
    Third term = 628 ÷ 2 - 2 = 312
    similarly , we can find the all others terms .
    ......... and so on .
    Second series :-
    First term = 788
    Second term = First term ÷ 2 - 2 = 392
    Third term = Second term ÷ 2 - 2 = 194

    Correct Option: B

    As per the details of question is given series in the form of ,
    First series :-
    First term = 1260
    Second term = First term ÷ 2 - 2
    Second term = 1260 ÷ 2 - 2 = 628
    Third term = Second term ÷ 2 - 2
    Third term = 628 ÷ 2 - 2 = 312
    similarly , we can find the all others terms .
    ......... and so on .
    Second series :-
    First term = 788
    Second term = First term ÷ 2 - 2
    Second term = 788 ÷ 2 - 2 = 392
    Third term = Second term ÷ 2 - 2
    Third term = 392 ÷ 2 - 2 = 194
    Fourth term = Third term ÷ 2 - 2
    Fourth term = 194 ÷ 2 - 2 = 95
    Fifth term = Fourth term ÷ 2 - 2
    Fifth term = 95 ÷ 2 - 2 = 45.5
    Hence , the place value of ( d ) is 45.5 .



  1. 5616572441245
    2(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (d) ?
    1. 46
    2. 39
    3. 156
    4. 173
    5. None of these

  1. View Hint View Answer Discuss in Forum

    As per the details in the question the series is in the form of
    First series :-
    First term = 5
    Second term = First term × 1 + 12 = 5 + 1 = 6
    Third term = Second term × 2 + 22 = 12 + 4 = 16
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 2
    Second term = First term × 1 + 12 = 2 + 1 = 3
    Third term = Second term × 2 + 22 = 6 + 4 = 10

    Correct Option: E

    As per the details in the question the series is in the form of
    First series :-
    First term = 5
    Second term = First term × 1 + 12
    Second term = 5 × 1 + 1 = 6
    Third term = Second term × 2 + 22
    Third term = 6 × 2 + 4 = 16
    similarly , we can find the all others terms .
    Second series :-
    First term = 2
    Second term = First term × 1 + 12
    Second term = 2 × 1 + 1 = 3
    Third term = Second term × 2 + 22
    Third term = 3 × 2 + 4 = 10
    Fourth term = Third term × 3 + 32
    Fourth term = 10 × 3 + 9 = 39
    Fifth term = Fourth term × 4 + 42
    Fifth term = 39 × 4 + 16 = 172
    Hence , the place value of ( d ) is 172 .