If \(p, q, r, s\) are distinct integers such that:(f(p, q, r, s) = max (p, q,…
2015
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 operation are valid with two variable functions of the form \(f(p, q)\).
What is the value of \(fg(h(2, 5, 7, 3), 4, 6, 8)\)?
Answer: 8 — Key idea: concatenation of function names (for example fg(...)) means the product f(...)×g(...). Here f returns the maximum, g returns the minimum, and h…
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Correct answer: 8
Key idea: concatenation of function names (for example fg(...)) means the product f(...)×g(...). Here f returns the maximum, g returns the minimum, and h returns the remainder as defined.
Compute h(2,5,7,3): p×q = 2×5 = 10 and r×s = 7×3 = 21. Since 21 > 10, h = remainder of 21/10 = 1.
Now evaluate f(1,4,6,8) and g(1,4,6,8): f = max(1,4,6,8) = 8, g = min(1,4,6,8) = 1.
Therefore fg(h(2,5,7,3),4,6,8) = f(1,4,6,8) × g(1,4,6,8) = 8 × 1 = 8.
Answer: 8