Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
1, 4, 3, 16, 6, 36, 10, 64, 15, 100, ?
Option 1: 21
Option 2: 19
Option 3: 22
Option 4: 25
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Correct Answer: 21
Solution :
Given:
1, 4, 3, 16, 6, 36, 10, 64, 15, 100, ?
In the given series, we have two subseries –
(I) 1, 3, 6, 10, 15, ?
(II) 4, 16, 36, 64, 100
In the first subseries add consecutive natural numbers starting from 2, to get the next number –
1 + 2 = 3; 3 + 3 = 6; 6 + 4 = 10; 10 + 5 = 15; 15 + 6 = 21
The second subseries is the square of consecutive even numbers starting from 2 –
(2
2
)→4; (4
2
)→16; (6
2
)→36; (8
2
)→64; (10
2
)→100
Therefore, the required missing number in the series is 21. Hence, the first option is correct.
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