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. 1260628312154
    788(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 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. 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 .



  1. 359173365
    7(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (d) ?











  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 × 2 - 1 = 5
    Third term = Second term × 2 - 1 = 9
    similarly , we can calculate the all next terms .
    Second series :-
    First term = 7
    Second term = First term × 2 - 1 = 13
    Third term = Second term × 2 - 1 = 25

    Correct Option: E

    The given series is in the below pattern ,
    First series :-
    First term = 3
    Second term = First term × 2 - 1
    Second term = 3 × 2 - 1 = 5
    Third term = Second term × 2 - 1
    Third term = 5 × 2 - 1 = 9
    similarly , we can find the all others terms .
    Second series :-
    First term = 7
    Second term = First term × 2 - 1
    Second term = 7 × 2 - 1 = 13
    Third term = Second term × 2 - 1
    Third term = 13 × 2 - 1 = 25
    Fourth term = Third term × 2 - 1
    Fourth term = 25 × 2 - 1 = 49
    Fifth term = Fourth term × 2 - 1
    Fifth term = 49 × 2 - 1 = 97
    Hence , the place value of ( d ) is 97 .


  1. 58610712
    7(a)(b)(c)(d)(e)
    Which of the following numbers will come in place of (c) ?











  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 × 2 - 2 = 8
    Third term = Second term ÷ 2 + 2 = 6
    Fourth term = Third term × 2 - 2 = 10
    similarly , we can calculate the all next terms .
    ........... and so on.
    Second series :-
    First term = 7
    Second term = First term × 2 - 2 = 12
    Third term = Second term ÷ 2 + 2 = 8
    Fourth term = Third term × 2 - 2 = 14

    Correct Option: A

    The given series is in the below pattern ,
    First series :-
    First term = 5
    Second term = First term × 2 - 2
    Second term = 5 × 2 - 2 = 8
    Third term = Second term ÷ 2 + 2
    Third term = 8 ÷ 2 + 2 = 6
    Fourth term = Third term × 2 - 2
    Fourth term = 6 × 2 - 2 = 10
    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 = 12
    Third term = Second term ÷ 2 + 2
    Third term = 12 ÷ 2 + 2 = 8
    Fourth term = Third term × 2 - 2
    Fourth term = 8 × 2 - 2 = 14
    Hence , the place value of ( c ) is 14 .



Direction: Which sequence of letters when placed at the blanks one after another will complete the given letter series?

  1. abca — bcaab — ca — bbc — a











  1. View Hint View Answer Discuss in Forum

    The given series is in the below pattern , we can see that
    The series is abc / aabc / aabbc / aabbcc / a.

    Correct Option: C

    The given series is in the below pattern , we can see that
    The series is abc / aabc / aabbc / aabbcc / a.
    Hence , required answer will be abac .