The correct option is (a) A7B24
In a face centred cubic arrangement of A and B atoms in which 'A' atoms are at the corners of the unit cell.
There are total 8 corners and each contributes one eight to the unit cell.
One of the 'A' atom is missing from one corner in unit cell.
So there are 7 'A' atoms with total contribution 7 x 1/8 = 7/8.
'B' atoms are at the face centres. There are six face centres. Each contributes one half to the unit cell.
Total contribution = 6 x 1/2 = 3
A : B = 7/8 : 3 = 7 : 24
The simplest formula of compound is A7B24.