Number Series


  1. 6, 7, 16, 41, 90, 154, 292
    1. 7
    2. 16
    3. 41
    4. 90
    5. 154

  1. View Hint View Answer Discuss in Forum

    The series + (1)2, + (3)2, + (5)2, + (7)2, + (9)2, + (11)2. Correct answer 171.

    Correct Option: E

    The series + (1)2, + (3)2, + (5)2, + (7)2, + (9)2, + (11)2. Correct answer 171.


  1. 5, 7, 16, 57, 244, 1245, 7506
    1. 7
    2. 16
    3. 57
    4. 244
    5. 1245

  1. View Hint View Answer Discuss in Forum

    The series is x 1 + (1)2, x 2 + (2)2, x 3 + (3)2, x 4 + (4)2, x 5 + (5)2, x 6 + (6)2.

    Correct Option: A

    The series is x 1 + (1)2, x 2 + (2)2, x 3 + (3)2, x 4 + (4)2, x 5 + (5)2, x 6 + (6)2.



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

  1. 2, 11, 38, 197, ? , 1170, 8227, 65806
    1. 1170
    2. 1172
    3. 1174
    4. 1178
    5. 1180

  1. View Hint View Answer Discuss in Forum

    As per the details in the question the series is in the form of
    First term = 2
    Second term = First term × 3 + 5 = 11
    Third term = Second term × 4 - 6 = 38
    Similarly , we can calculate all next terms also.

    Correct Option: C

    As per the details in the question the series is in the form of
    First term = 2
    Second term = First term × 3 + 5
    Second term = 2 × 3 + 5 = 11
    Third term = Second term × 4 - 6
    Third term = 11 × 3 + 5 = 38
    Fourth term = Third term × 5 + 7
    Fourth term = 38 × 5 + 7 = 197 ;
    Fifth term = Fourth term × 6 - 8
    Fifth term = 197 × 6 - 8 = ?
    ∴ ? = 1174
    Similarly , we can find all others terms also.
    Sixth term = Fifth term × 7 + 9
    Sixth term = 1174 × 7 + 9 = 8227;
    Seventh term = Sixth term × 8 - 10
    Sixth term = 1174 × 8 - 10 = 65806
    Hence , Fifth term = 1174


  1. 7, 9, 16, 25, 41, ?, 107, 173
    1. 74
    2. 70
    3. 68
    4. 66
    5. 72

  1. View Hint View Answer Discuss in Forum

    As per the details in the question the series is in the form of
    First term + Second term = Third term
    ⇒ 7 + 9 = 16;
    Second term + Third term = Fourth term
    ⇒ 9 + 16 = 25;
    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 + Second term = Third term
    ⇒ 7 + 9 = 16;
    Second term + Third term = Fourth term
    ⇒ 9 + 16 = 25;
    Similarly , we can find all others terms also.
    Third term + Fourth term = Fifth term
    ⇒ 16 + 25 = 41;
    Fourth term + Fifth term = Sixth term
    ⇒ 25 + 41 = ?
    ∴ ? = 66
    Fifth term + Sixth term = Seventh term
    ⇒ 41 + 66 = 107
    Sixth term + Seventh term = Eighth term
    ⇒ 66 + 107 = 173
    Hence , Sixth term = 66



  1. 16, 4, 2, 1.5, ?, 1.875
    1. 1.875
    2. 1.5
    3. 1.75
    4. 2
    5. 3

  1. View Hint View Answer Discuss in Forum

    The given series is in the below pattern,
    First term = 16
    Second term = First term × 0.25 = 4 ;
    Third term = Second term × 0.50 = 2 ;
    Similarly , we can calculate all others terms also.

    Correct Option: B

    The given series is in the below pattern,
    First term = 16
    Second term = First term × 0.25
    Second term = 16 × 0.25 = 4
    Third term = Second term × 0.50
    Third term = 4 × 0.50 = 2
    Fourth term = Third term × 0.75
    Fourth term = 2 × 0.75 = 1.5
    Fifth term = Fourth term × 1
    Fifth term = 1.5 × 1 = 1.5 ;
    ∴ ? = 1.5
    Similarly , we can find all others terms also.
    Sixth term = Fifth term × 1.25
    Sixth term = 1.5 × 1.25 = 1.875
    Hence , Fourth term = 3