Which of the following numbers will replace the question mark (?) in the given series?
91, 102, 139, ?, 187, 198, 235
- A162
- B145
- C155
- D150
Solution & Step-by-step Explanation
Let's look at the differences between successive numbers:
102−91=11
139−102=37
Let's check the end of the series:
198−187=11
235−198=37
The difference pattern is clearly repeating: +11,+37,+11,+37,…
Applying this pattern to find the missing term:
?=139+11=150
Let's verify if adding 37 to 150 yields the next number:
150+37=187
This perfectly matches. So the missing number is 150.
102−91=11
139−102=37
Let's check the end of the series:
198−187=11
235−198=37
The difference pattern is clearly repeating: +11,+37,+11,+37,…
Applying this pattern to find the missing term:
?=139+11=150
Let's verify if adding 37 to 150 yields the next number:
150+37=187
This perfectly matches. So the missing number is 150.