Number Series


Direction: Read the given series and complete this series.

  1. ABD, DGK, HMS, MTB, SBL, ?











  1. View Hint View Answer Discuss in Forum

    As per the details in the question the series is in the form of
    From given figure , it is clear that
    Hence the place value of ? is ZKW .

    Correct Option: D

    As per the details in the question the series is in the form of
    From given figure , it is clear that
    Hence the place value of ? is ZKW .



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. 310321114602315
    2(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (b) ?











  1. View Hint View Answer Discuss in Forum

    The given series is in the below pattern ,
    First series :-
    First term = 3
    Second term = First term × 1 + 7 × 1 = 10
    Third term = Second term × 2 + 6 × 2 = 32
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 2
    Second term = First term × 1 + 7 × 1 = 9
    Third term = Second term × 2 + 6 × 2 = 30

    Correct Option: B

    The given series is in the below pattern ,
    First series :-
    First term = 3
    Second term = First term × 1 + 7 × 1
    Second term = 3 × 1 + 7 × 1 = 3 + 7 = 10
    Third term = Second term × 2 + 6 × 2
    Third term = 10 × 2 + 6 × 2 = 20 + 12 = 32
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 2
    Second term = First term × 1 + 7 × 1
    Second term = 2 × 1 + 7 × 1 = 2 + 7 = 9
    Third term = Second term × 2 + 6 × 2
    Third term = 9 × 2 + 6 × 2 = 18 + 12 = 30
    Hence , the place value of ( b ) is 30 .



  1. 231039172885
    5(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (d) ?











  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 = 2
    Second term = First term × 1 + 12 = 2 + 1 = 3
    Third term = Second term × 2 + 22 = 6 + 4 = 10
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 5
    Second term = First term × 1 + 12 = 5 + 1 = 6
    Third term = Second term × 2 + 22 = 12 + 4 = 16

    Correct Option: A

    As per the details in the question the series is in the form of
    First series :-
    First term = 2
    Second term = First term × 1 + 12
    Second term = 2 × 1 + 1 = 2 + 1 = 3
    Third term = Second term × 2 + 22
    Third term = 3 × 2 + 4 = 6 + 4 = 10
    similarly , we can find the all others terms .
    Second series :-
    First term = 5
    Second term = First term × 1 + 12
    Second term = 5 × 1 + 1 = 5 + 1 = 6
    Third term = Second term × 2 + 22
    Third term = 6 × 2 + 4 = 12 + 4 = 16
    Fourth term = Third term × 3 + 32
    Fourth term = 16 × 3 + 9 = 57
    Fifth term = Fourth term × 4 + 42
    Fifth term = 49 × 4 + 16 = 244
    Hence , the place value of ( d ) is 244 .


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

  1. 1, 2, 6, 24, ? ,720











  1. View Hint View Answer Discuss in Forum

    As per given series , we can see that
    First term = 1
    Second term = First term × 2 = 2
    Third term = Second term × 3 = 6
    Similarly we can calculate the all others terms

    Correct Option: C

    As per given series , we can see that
    First term = 1
    Second term = First term × 2
    Second term = 1 × 2 = 2
    Similarly we can find the all others terms
    Third term = Second term × 3
    Third term = 2 × 3 = 6
    Fourth term = Third term × 4
    Fourth term = 6 × 4 = 24
    Fifth term = Fourth term × 5
    Fifth term = 24 × 5 = ?
    ∴ ? = 120
    Sixth term = Fifth term × 6
    Sixth term = 120 × 6 = 720



  1. 0, 7, 26, 63, ?











  1. View Hint View Answer Discuss in Forum

    The given series is in the below pattern,we can see that
    Next term ( Tn ) = n3 - 1 { where , putting n = 1 , 2 , 3 , 4 , 5 respectively }

    Correct Option: D

    The given series is in the below pattern,we can see that
    Next term ( Tn ) = n3 - 1 { where , putting n = 1 , 2 , 3 , 4 , 5 respectively }
    First term = T1 = 13 - 1 = 0
    Second term = T2 = 23 - 1 = 7
    Similarly we can find the all others terms
    Third term = 26
    Fourth term = 63
    Fifth term( ? )= 124
    Hence we get the value of ? = 124