If {\p}, {\q}, {\r}, { s} are distinct integers such that: f(p, q, r, s)=\max (p, q, r, s) g(p, q, r, s,)=\min (p, q, r, s) h(p, q, r, s)=\text{ remainder of } \frac{p \times q}{r \times s} \text{ if }(p \times q)>(r \times s) (or) remainder of { {\r} \times { s}}/{ {\p} \times {\q}} if ( {\r} \times { s})>( {\p} \times {\q}) Also a function {\fgh}( {\p}, {\q}, {\r}, { s})= {\f}( {\p}, {\q}, {\r}, { s}) \times {\g}( {\p}, {\q}, {\r}, { s}) \times {\h}( {\p}, {\q}, {\r}, { s}) Also the same operations are valid with two variable function of the form f(p, q). What is the value of f g(h(2,5,7,3), 4,6,8) ?

GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper

Question : 6 of 65

Marks: +1, -0

{\p}, {\q}, {\r}, {\ s}

are distinct integers such that:

f(p, q, r, s)=\max (p, q, r, s)

g(p, q, r, s,)=\min (p, q, r, s)

h(p, q, r, s)=\;\text " remainder of "\; \;{p × q}/{r × s} \;\text " if "\;(p × q)>(r × s)

(or) remainder of

\;{ {\r} × {\ s}}/{ {\p} × {\q}}

( {\r} × {\ s})>( {\p} × {\q})

Also a function

{\fgh}( {\p}, {\q}, {\r}, {\ s})= {\f}( {\p}, {\q}, {\r}, {\ s}) × {\g}( {\p}, {\q}, {\r}, {\ s}) × {\h}( {\p}, {\q}, {\r}, {\ s})

Also the same operations are valid with two variable function of the form

f(p, q)

.
What is the value of

f g(h(2,5,7,3), 4,6,8)

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