Select the number from among the given options that can replace the question mark (?) in the following series.
38, 42, 58, 94, ?, 258

Options:
a) 164
b) 108
c) 152
d)158

Solution

38, 42, 58, 94, ?, 258
Difference between numbers are:
4 , 16, 36
2², 4², 6²
Next difference should be: 8² =64
94 + 64 = 158
Series 38, 42, 58, 94, 158, 258

Answer: d)158