## Number Series

#### Number Series

1. 4, 28, 160, 990, 6970,55832, 502560
1. 160
2. 990
3. 55832
4. 6970
5. None of these

1. 4 x 4 + (4 x 3) = 28
28 x 5 + (5 x 4) =160
160 x 6 + (6 x 5) = 990
990 x 7 + (7 x 6) = 6972
6972 x 8 + (8 x 7) = 55832
55832 x 9 + (9 x 8) = 502560

##### Correct Option: D

4 x 4 + (4 x 3) = 28
28 x 5 + (5 x 4) =160
160 x 6 + (6 x 5) = 990
990 x 7 + (7 x 6) = 6972
6972 x 8 + (8 x 7) = 55832
55832 x 9 + (9 x 8) = 502560

1. 13, 14, 27, 45, 68, 109, 177
1. 27
2. 109
3. 45
4. 68
5. None of these

1. 13 + 14 = 27
14 + 27 = 41
27 + 41 = 68
41 + 68 = 109
68 + 109 = 117
So, 45 is the wrong number in this series.

##### Correct Option: C

13 + 14 = 27
14 + 27 = 41
27 + 41 = 68
41 + 68 = 109
68 + 109 = 117
So, 45 is the wrong number in this series.

1. 529, 841, 961, 1296, 1681, 1849, 2209
1. 1296
2. 841
3. 961
4. 1681
5. None of these

1. All nos, in the given series are squeres of odd nos, except 1296
1296 = (36)2

##### Correct Option: A

All nos, in the given series are squeres of odd nos, except 1296
1296 = (36)2

Direction: In each of these questions a number series is given. Only one number is wrong in each series. You have to find out the wrong number.

1. 1 , 3 , 4 , 7 , 11 ,18 , 27 , 47
1. 4
2. 11
3. 18
4. 7
5. 27

1. As per the details in the question the series is in the form of
The sum of the first two nos. is the third no.
First term + Second term = Third term
Second term + Third term = Fourth term
Similarly , we can calculate all others terms also.

##### Correct Option: E

As per the details in the question the series is in the form of
The sum of the first two nos. is the third no.
First term + Second term = Third term
⇒ 1 + 3 = 4 ;
Second term + Third term = Fourth term
⇒ 3 + 4 = 7 ;
Third term + Fourth term = Fifth term
⇒ 4 + 7 = 11 ;
Fourth term + Fifth term = Sixth term
⇒ 7 + 11 = 18 ;
Fifth term + Sixth term = Seventh term
⇒ 11 + 18 = 27 is wrong. It should be 29.
Sixth term + Seventh term = Eighth term
⇒ 18 + 29 = 47
Hence, 27 is wrong. It should be 29.

1. 3 , 2 , 3 , 6 , 12 , 37.5 , 115.5
1. 37.5
2. 3
3. 6
4. 2
5. 12

1. The given series is in the below pattern,we can see that
Next term= ( Previous term × variable ) + variable
First term = 3
Second term = ( First term × variable ) + 0.5 = ( 3 x 0.5 ) + 0.5 = 2
Third term = ( Second term × variable ) + 1 = ( 2 x 1 ) + 1 = 3
Similarly , we can calculate all others terms also.

##### Correct Option: E

The given series is in the below pattern,we can see that
Next term= ( Previous term × variable ) + variable
First term = 3
Second term = ( First term × variable ) + 0.5 = ( 3 x 0.5 ) + 0.5 = 2
Third term = ( Second term × variable ) + 1 = ( 2 x 1 ) + 1 = 3
Similarly , we can calculate all others terms also.
Fourth term = ( Third term × variable ) + 1.5 = ( 3 × 1.5 ) + 1.5 = 6 ;
Fifth term = ( Fourth term × variable ) + 2 = ( 6 × 2 ) + 2 = 12 ; 12 is wrong. It should be 14.
Sixth term = ( Fifth term × variable ) + 2.5 = (14 × 2.5 ) + 2.5 = 37.5 ;
Seventh term = ( Sixth term × variable ) + 3 = ( 37.5 × 3 ) + 3 = 115.5
Hence, 12 is wrong. It should be 14.