Somebody please help me with this question 
Well it rules out C because it's quantitative (i.e. not multifactorial, those are things like spina bifida etc. where it's present or not)
Use Height 188-190 (or 143-145)
I'll just use height 188-190 since it's the base height
so (1/1031)= (1/4)^
5 (they are approximately equal)
so there are five polygenes (rules out a) meaning they have the alleles:
AABBCCDDEE (rules out b)
To get D:
Find the range= 188 (max height in offspring) - 145 (base height) = 43 cm
10 contributing alleles (AABBCCDDEE) = 43/10 = 4.3cm = close enough to the answer
Also: Try see if you can do the problem at the end of the polygenic inheritance lecture, it's the same method