Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
35, 50, 63, 82, ?, 122
Option 1: 101
Option 2: 99
Option 3: 100
Option 4: None of these
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Correct Answer: 99
Solution :
Given:
35, 50, 63, 82, ?, 122
Alternately subtract and add 1 to the squares of consecutive natural numbers, starting with 6, to get the required missing number.
(6)
2
– 1 = 36 – 1 = 35; (7)
2
+ 1 = 49 + 1 = 50; (8)
2
– 1 = 64 – 1 = 63; (9)
2
+ 1 = 81 + 1 = 82;
(10)
2
– 1 = 100 – 1 = 99; (11)
2
+ 1 = 121 + 1 = 122
So, the required missing number is 99. Hence, the second option is correct.
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