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← GATE CSE 2015 Set 2

GA Q9

NAT2 marks

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) = \text{ max } (p, q, r, s) g(p,q,r,s)= min (p,q,r,s)g (p, q, r, s) = \text{ min } (p, q, r, s) h(p,q,r,s)=remainder of (p×q)(r×s) if (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×s)(p×q) if (r×s)>(p×q)\text{ or remainder of } \frac {(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 \left(h \left(2, 5, 7, 3\right), 4, 6, 8\right)?

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