Question Details

Directions (61-65) : Find the wrong number in following number series.


5 , 43 , 70 , 88 , 99 , 104, 108

Options

A

104

B

5

C

99

D

70

Show Answer

Correct Answer :

Option A

104

Solution :

` required. No other output outside tags. Let's construct the MathML carefully for any formulas/math tags if needed, or simple HTML/MathML where appropriate. Let's check MathML elements:

43-5=38

Let's draft the solution block: ```html 104

The correct option is 104.


To find the wrong number in the given number series, let us calculate the difference between consecutive terms:


43-5=38

70-43=27

88-70=18

99-88=11

104-99=5

108-104=4


Now, let us examine the pattern of differences (second-order differences):


38-27=11

27-18=9

18-11=7


The second-order differences follow a pattern of decreasing odd numbers: 11, 9, 7, 5, 3.


Continuing this pattern for the remaining terms:

Next difference should be:
11-5=6

So, the 6th term should be:
99+6=105


Checking the last term with the next difference (6 - 3 = 3):

105+3=108


This matches the last term 108. Therefore, the wrong term in the series is 104, which should be replaced by 105.

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