Consider a computer system with a speed of instructions per second. A program , having steps is run on this system, where is the input size. If , what is the execution time for P?

200s Explanation: Given Data: Execution speed of the system Total number of steps (instructions) for program Input size ( ) Step-by-Step Calculation: Calculate the total number of instructions to execute: Substitute the value of into the expression for the program steps: Calculate the execution time: The formula relating total steps, system speed, and time is: Substituting our values into the formula: Therefore, the total execution time for program is 200s .

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NIMCET 2021 — Computer PYQ

NIMCET | Computer | 2021

Consider a computer system with a speed of $1 0^{6}$ instructions per second. A program $P$ , having $2 n^{2}$ steps is run on this system, where $n$ is the input size.

If $n = 10000$ , what is the execution time for P?

Choose the correct answer: