Explanation:

Correct option 1: 267

Let's analyze the pattern in the given series:

27, 31, 42, 72, 139, ?

- Look at the differences between the numbers:

- 31 - 27 = 4

- 42 - 31 = 11

- 72 - 42 = 30

- 139 - 72 = 67

- Now, check the pattern in the differences:

- 4, 11, 30, 67 i.e.     4=(1³ +3), 11=(2³+3), 30=(3³+3), 67=(4³+3)

Now next should be 5³ + 3 = 128.

so, next term in the series should be= 139+128= 267