Find the number that will come next in the following series.
10, 12, 15, 20, 27, 38, ?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 51
Look at the difference between each pair of terms. The differences are the prime numbers in order:
\(12-10=2\), \(15-12=3\)
\(20-15=5\), \(27-20=7\)
\(38-27=11\)
The next prime after 11 is 13, so the next term is \(38+13=51\).