GATE CS 2015 Set 2 QGA-9 — General Aptitude

We need to find the value of the expression:

Step 1: Evaluate $h(2, 5, 7, 3)$

For the function $h(p, q, r, s)$ with $p=2, q=5, r=7, s=3$:

• $p \times q = 2 \times 5 = 10$
• $r \times s = 7 \times 3 = 21$

Since $(r \times s) > (p \times q)$, we compute the remainder of $\frac{r \times s}{p \times q}$:

Step 2: Evaluate the outer function $fg(1, 4, 6, 8)$

Based on the definition of the combined function $fgh(p, q, r, s) = f(p, q, r, s) \times g(p, q, r, s) \times h(p, q, r, s)$, the function $fg(p, q, r, s)$ is defined as:

For the arguments $(1, 4, 6, 8)$:

• $f(1, 4, 6, 8) = \max(1, 4, 6, 8) = 8$
• $g(1, 4, 6, 8) = \min(1, 4, 6, 8) = 1$

Thus, we have:

The final value is 8.