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.
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5 9 26 90 13 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (e) ?
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The given series is in the below pattern ,
First series :-
First term = 5
Second term = First term × 1 + 4 = 9
Third term = Second term × 2 + 8 = 26
similarly , we can calculate the all next terms .
Second series :-
First term = 13
Second term = First term × 1 + 4 = 17
Third term = Second term × 2 + 8 = 42Correct Option: E
The given series is in the below pattern ,
First series :-
First term = 5
Second term = First term × 1 + 4
⇒ Second term = 5 × 1 + 4 = 9
Third term = Second term × 2 + 8
⇒ Third term = 9 × 2 + 8 = 26
similarly , we can find the all others terms .
......... and so on .
Second series :-
First term = 13
Second term = First term × 1 + 4
⇒ Second term = 13 × 1 + 4 = 17
Third term = Second term × 2 + 8
⇒ Third term = 17 × 2 + 8 = 42
Fourth term = Third term × 3 + 12
⇒ Fourth term = 42 × 3 + 12 = 138
Fifth term = Fourth term × 4 + 16
⇒ Fifth term = 138 × 4 + 16 = 568
Sixth term = Fifth term × 5 + 20
⇒ Sixth term = 568 × 5 + 20 = 2860
Hence , the place value of ( e ) is 2860 .
Direction: Directions : What will come in the place of question mark (?) in the following number.
- 16, ?, 21, 30, 46, 71, 107
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The given series is in the below pattern,
First term = 16
Second term = First term + 12 = ?
⇒ Second term = 16 + 12 = 17
∴ ? = 17
Third term = Second term 12 = 15 ;
Similarly , we can calculate all others terms also.Correct Option: A
The given series is in the below pattern,
First term = 16
Second term = First term + 12
⇒ Second term = 16 + 12 = 17
∴ ? = 17
Third term = Second term + 22
⇒ Third term = 17 + 22 = 21
Fourth term = Third term + 32
⇒ Fourth term = 21 + 32 = 30 ;
Fifth term = Fourth term + 42
⇒ Fifth term = 30 + 42 = 46 ;
Similarly , we can find all others terms also.
Sixth term = Fifth term + 52
⇒ Sixth term = 46 + 52 = 71;
Seventh term = Sixth term + 62
⇒ Sixth term = 71 + 62 = 107
Hence , Second term = 17
- 6, 7, 16, 41, 90, 154, 292
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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.
- 5, 7, 16, 57, 244, 1245, 7506
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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.
- 2, 11, 38, 197, ? , 1170, 8227, 65806
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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
