(r × s) (or) remainder of \;{ {\r} × {\ s}}/{ {\p} × {\q}} if ( {\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) ?" > (r × s) (or) remainder of \;{ {\r} × {\ s}}/{ {\p} × {\q}} if ( {\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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GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper

Question : 6

Total: 65

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)=‌ remainder of ‌‌

p×q

r×s

‌ if ‌(p×q)>(r×s)
(or) remainder of ‌

r× s

p×q

if (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 fg(h(2,5,7,3),4,6,8) ?

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