## Number Series

#### Number Series

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

1. 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. 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. 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. 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. 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