Question Details

1, 2, 5, 16, 68, 326

Find the wrong number in the given series.

Options

A

16

B

326

C

5

D

68

Show Answer

Correct Answer :

Option D

68

68

Solution :

The correct option is 68.

To find the wrong number in the given series: 1, 2, 5, 16, 68, 326, let us analyze the pattern of progression between consecutive terms.

Let the terms of the series be denoted by T1,T2,T3,T4,T5,T6.

Let's check the relationship between consecutive terms:
The first term is:
T1=1
To get the second term (T2=2):
1×1+1=2
To get the third term (T3=5):
2×2+1=5
To get the fourth term (T4=16):
5×3+1=16

Following this pattern, the general rule to find the next term is:
Tn=Tn-1×(n-1)+1

Applying this rule to find the fifth term:
T5=16×4+1=64+1=65
However, the fifth term in the given series is 68.

Let us verify if 65 makes the next term correct:
If the fifth term were 65, the sixth term would be:
T6=65×5+1=325+1=326
This matches the sixth term of the series (326) perfectly.

Therefore, the number 68 is incorrect and should be replaced by 65. The wrong number in the series is 68.

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