Question : Directions: In the following question a series is given, with one/two terms missing. Choose the correct alternative from the given ones that will complete the series.
4, 6, 8, 12, 14, 18, 20, 24, 30, ?, ?
Option 1: 32, 34
Option 2: 34, 36
Option 3: 32, 38
Option 4: 32, 33
Correct Answer: 32, 38
Solution :
Given:
4, 6, 8, 12, 14, 18, 20, 24, 30, ?, ?
Add 1 to the consecutive prime numbers to get the terms of the given series.
3 + 1 = 4; 5 + 1 = 6; 7 + 1 = 8; 11 + 1 = 12; 13 + 1 = 14; 17 + 1 = 18; 19 + 1 = 20; 23 + 1 = 24; 29 + 1 = 30
The next prime numbers are 31, 37. Thus, the next terms→31 + 1 = 32; 37 + 1 = 38
So, 32 and 38 are the missing terms of the given series. Hence, the third option is correct.
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