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GATE CS 2015 Set 2 — Question 8

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NAT+2 / -0MediumNumerical Relations & ReasoningAnalytical AptitudeGeneral Aptitude

General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning

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Question

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