Subjects programming, loops

Program Output 733B9C

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Program Output 733B9C


1. **State the problem:** We have nested loops: outer loop with $num$ from 10 to 11 (since range(10,12) includes 10 and 11), and inner loop with $j$ from 9 to $num-1$. We want to find which of the given numbers (99, 110, 90, 108) is NOT output by the program. 2. **Understand the loops:** - For $num=10$, inner loop $j$ runs from 9 to 9 (since range(9,10) includes only 9). - For $num=11$, inner loop $j$ runs from 9 to 10 (since range(9,11) includes 9 and 10). 3. **Calculate outputs for $num=10$:** - $j=9$: $$10 \times 9 = 90$$ 4. **Calculate outputs for $num=11$:** - $j=9$: $$11 \times 9 = 99$$ - $j=10$: $$11 \times 10 = 110$$ 5. **List all outputs:** $$\{90, 99, 110\}$$ 6. **Check which option is NOT output:** - (a) 99 is output. - (b) 110 is output. - (c) 90 is output. - (d) 108 is NOT output. **Final answer:** The program does NOT output 108.