1 , 3 , 4 , 7 , 11 ,18 , 27 , 47

Correct Answer: 1296

Explanation:

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

Correct Answer: 45

Explanation:

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 Answer: 6970

Explanation:

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 Answer: 9

Explanation:

Pattern is : the series is the combination of three series -each term is twice the preceding term.
(i) 1^st, 4^st, 7^st term i. e 2,4,9,.......
(ii) 2^st, 5^st, 8^st term i, e 3,6,12.....
(iii) 3^st, 6^st, 9^st 4,8,16......
So, 9 is wrong.

Correct Answer: 96

Explanation:

Pattern is : + 6, + 12, + 24, + 48, +96, + 192

Correct Answer:

Explanation:

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.

Correct Answer: 229

Explanation:

The given series is in the below pattern,
First term = 2
Second term = First term + 1³
? Second term = 2 + 1³ = 3 ;
Third term = Second term + 2³
? Third term = 3 + 2³ = 11 ;
Similarly , we can find the all others terms also.
Fourth term = Third term + 4²
? Fourth term = 11 + 3³ = 38 ;
Fifth term = Fourth term + 5²
? Fifth term = 38 + 4³ = 102
Sixth term = Fifth term + 6²
? Sixth term = 102 + 5³ = 229 ; 229 is wrong. It should be 227.
Seventh term = Sixth term + 7²
? Seventh term = 227 + 6³ = 443
Hence, 229 is wrong. It should be 227.

Correct Answer: 347

Explanation:

From the given figure , we can see that
First term = 2807
Second term = ( First term - 7 ) ÷ 2 = 1400
Third term = ( Second term - 6 ) ÷ 2 = 697
? Second term = ( 2807 - 7 ) ÷ 2 = 1400 ;
? Third term = ( 1400 - 6 ) ÷ 2 = 697 ;
? Fourth term = ( 697 - 5 ) ÷ 2 = 347; 347 is wrong. It should be 346.
? Fifth term = ( 346 - 4 ) ÷ 2 = 171 ;
? Sixth term = ( 171 - 3 ) ÷ 2 = 84 ;
? Seventh term = ( 84 - 2 ) ÷ 2 = 41 ;
? Eighth term = ( 41 - 1 ) ÷ 2 = 20
Hence, 347 is wrong. It should be 346.

Correct Answer:

Explanation:

The series is an alternate series, having
Odd position series :-
First term = 2
Third term = ( First term × 3 ) - 1
? Third term = ( 2 × 3 ) - 1 = 5 ;
Fifth term = ( Third term × 3 ) - 1
? Fifth term = ( 5 × 3 ) - 1 = 14 ;
Seventh term = ( Fifth term × 3 ) - 1
?Seventh term = ( 14 × 3 ) - 1 = 41 ;
Even position series :-
Second term = 3
Fourth term = ( Second term × 3 ) - 1
? Fourth term = ( 3 × 3 ) - 1 = 8 ;
Sixth term = ( Fourth term × 3 ) - 1
? Sixth term = ( 8 × 3 ) - 1 = 23 ;
Eighth term = ( Sixth term × 3 ) - 1
? Eighth term = ( 23 × 3 ) - 1 = 69; 69 is wrong. It should be 68.

Correct Answer: 167.5

Explanation:

The given series is in the below pattern,
First term = 3
Second term = First term × 2.5
? Second term = 3 × 2.5 = 7.5 ;
Third term = Second term × 2
? Third term = 7.5 × 2 = 15 ;
Fourth term = Third term × 2.5
? Fourth term = 15 × 2.5 = 37.5 ;
Fifth term = Fourth term × 2
? Fifth term = 37.5 × 2 = 75 ;
Sixth term = Fifth term × 2.5
? Sixth term = 75 × 2.5 = 167.5; 167.5 is wrong. It should be 187.5.
Seventh term = Sixth term × 2
? Seventh term = 187.5 × 2 = 375 ;
Hence, 167.5 is wrong. It should be 187.5.