Question : Directions: In the following question a series is given, with one number missing. select the missing number from the given alternatives.
120, 119, 115, 106, 90, ?
Option 1: 75
Option 2: 65
Option 3: 77
Option 4: 62
Correct Answer: 65
Solution :
Given:
120, 119, 115, 106, 90, ?
Subtract the squares of the consecutive natural numbers from the previous term to get the next term in the series.
120 – (1)
2
= 120 – 1 = 119; 119 – (2)
2
= 119 – 4 = 115; 115 – (3)
2
= 115 – 9 = 106; 106 – (4)
2
= 106 – 16 = 90; 90 – (5)
2
= 90 – 25 = 65
So, 65 is the missing term in the series. Hence, the second option is correct.
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