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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