Number Series


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. 29
    2. 30
    3. 26
    4. 28
    5. None of these

  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. 244
    2. 175
    3. 208
    4. 196
    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 = 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 .



  1. 1011152440
    6(a)(b)(c)(d)(e)
    What will come in place of (c) ?
    1. 14
    2. 13
    3. 12
    4. 10
    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 = 10
    Second term = First term + 12 = 10 + 1 = 11
    Third term = Second term + 22 = 11 + 4 = 15
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 6
    Second term = First term + 12 = 6 + 1 = 7
    Third term = Second term + 22 = 7 + 4 = 11

    Correct Option: E

    As per the details in the question the series is in the form of
    First series :-
    First term = 10
    Second term = First term + 12
    Second term = 10 + 12 = 10 + 1 = 11
    Third term = Second term + 22
    Third term = 11 + 22 = 11 + 4 = 15
    similarly , we can find the all others terms .
    Second series :-
    First term = 6
    Second term = First term + 12
    Second term = 6 + 12 = 6 + 1 = 7
    Third term = Second term + 22
    Third term = 7 + 22 = 7 + 4 = 11
    Fourth term = Third term + 32
    Fourth term = 11 + 32 = 11 + 9 = 20
    Hence , the place value of ( c ) is 20 .


  1. 122611369
    7(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (c) ?
    1. 7
    2. 21
    3. 4
    4. 11
    5. None of these

  1. View Hint View Answer Discuss in Forum

    The given series is in the below pattern ,
    First series :-
    First term = 12
    Second term = First term × 2 + 2 = 26
    Third term = Second term ÷ 2 - 2 = 11
    similarly , we can calculate the all next terms .
    ........... and so on.
    Second series :-
    First term = 7
    Second term = First term × 2 + 2 = 16
    Third term = Second term ÷ 2 - 2 = 6

    Correct Option: B

    The given series is in the below pattern ,
    First series :-
    First term = 12
    Second term = First term × 2 + 2
    Second term = 12 × 2 + 2 = 26
    Third term = Second term ÷ 2 - 2
    Third term = 26 ÷ 2 - 2 = 11
    similarly , we can find the all others terms .
    ........... and so on.
    Second series :-
    First term = 7
    Second term = First term × 2 + 2
    Second term = 7 × 2 + 2 = 16
    Third term = Second term ÷ 2 - 2
    Third term = 16 ÷ 2 - 2 = 6
    Fourth term = Third term × 3 + 3
    Fourth term = 6 × 3 + 3 = 21
    Hence , the place value of ( c ) is 21.



  1. 4522201
    12(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (d) ?
    1. 4948
    2. 4840
    3. 4048
    4. 4984
    5. None of these

  1. View Hint View Answer Discuss in Forum

    The given series is in the below pattern ,
    First series :-
    First term = 4
    Second term = First term × 12 + 1 = 4 + 1 = 5
    Third term = Second term × 22 + 2 = 20 + 2 = 22
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 12
    Second term = First term × 12 + 1 = 12 + 1 = 13
    Third term = Second term × 22 + 2 = 52 + 2 = 54

    Correct Option: E

    The given series is in the below pattern ,
    First series :-
    First term = 4
    Second term = First term × 12 + 1
    Second term = 4 × 12 + 1 = 4 + 1 = 5
    Third term = Second term × 22 + 2
    Third term = 5 × 22 + 2 = 20 + 2 = 22
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 12
    Second term = First term × 12 + 1
    Second term = 12 × 12 + 1 = 12 + 1 = 13
    Third term = Second term × 22 + 2
    Third term = 13 × 22 + 2 = 52 + 2 = 54
    Fourth term = Third term × 32 + 3
    Fourth term = 54 × 32 + 3 = 486 + 3 = 489
    Fifth term = Fourth term × 42 + 4
    Fifth term = 489 × 42 + 4 = 7824 + 4 = 7828
    Hence , the place value of ( d ) is 7828 .