If `p,q,r,s` be the distinct integers such that :
`f(p, q, r, s)=" maximum of "(p, q, r, s)`
`g(p, q, r, s)="minimum of "(p, q, r, s)`
`h(p, q, r, s)=" remainder when "-xxq" is divided by "rxxs" if "pxxq gt r xx s`.
`=" remainder when "rxxs" is divided by"`
`pxxq if r xxs gt pxxq`
Also, the same operations are valid with two variable functions of the form `f(p,q)`
Also a function `fgh(p, q, r, s)`
`=f(p, q, r, s)xxg(p, q, r, s)xxh(p, q, r, s)`
If `a_(k)xxb_(k)` is an integral multiple of `c_(k)xxd_(k) or c_(k) xx d_(k)` is an integral multiple of `a_(k)xxb_(k)`, which of the following is indeterminable ?

Options

A. `f(g(a_(1), b_(1), c_(1), d_(1)), h(a_(2), b_(2), c_(2), d_(2)))`
B. `h(h(a_(1), b_(1), c_(1), d_(1)), h(a_(2), b_(2), c_(2), d_(2)))`
C. `h(hh(a_(1), b_(1), c_(1),d_(1)), g(a_(2), b_(2), c_(2),d_(1)))`
D. none of these

Answer

B