The correct option is
B Z=12, 38, 4, 88
12 (Mg), 4 (Be), 38 (Si), 88 (Ra) belong to group 2 of the periodic table.
The way to go about this problem is to add the
magic numbers starting with the smallest number in the series.
Magic numbers are 2, 8, 8, 18, 18, 32 and so on. But keep in mind to note the period you are adding to.
If we take options (a) for example,
3 is in the second period. So, 3 + 8 =
11, 11 + 8 =
19, 19 + 18 =
37, 37 + 18 =
55, 55 + 32 =
87.
So, atomic numbers 3, 11, 19, 37, 55 and 87 would be in the same group. Option (a) is wrong. You can check for other options too.
Now, 4 + 8 = 12, 12 + 8 = 20, 20 + 18 = 38, 38 + 18 = 56, 56 + 32 = 88
This is option (b).