Correct Answer: Correct answer is: (B) 834 s.
Exam Relevance: GATE, GRE, GMAT
Difficulty: Moderate
Concept notes: The correct answer is based on the data transfer rate of the V32 modem and the time required to download a specific amount of data.
Common Mistakes: Students often make the mistake of not converting the data size and transfer rate into consistent units before calculating the time.
Explanations: The V32 modem has a data transfer rate of 9600 bits per second. To find the time required to download one million bytes (1,000,000 bytes), we first convert bytes to bits (1 byte = 8 bits). Therefore, 1,000,000 bytes is equal to 8,000,000 bits. The time required to download 8,000,000 bits at a rate of 9600 bits per second is calculated as follows: \[ \text{Time} = \frac{8,000,000 \text{ bits}}{9600 \text{ bits/second}} = 833.33 \text{ seconds} \] Rounding to the nearest whole number gives 834 seconds.
Option Analysis: - Option A: 800 s. - This is incorrect as it underestimates the time required.
- Option B: 834 s. - This is the correct answer as it accurately reflects the time required.
- Option C: 900 s. - This is incorrect as it overestimates the time required.
- Option D: 1000 s. - This is incorrect as it overestimates the time required.
Mnemonic: Bits to Bytes, Divide and Round