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Question

In MP3 compression scheme, 60 minutes of music can be stored in about :

This question was previously asked in
CDS 1 2026 Maths Question Paper (12-Apr-2026)
The correct answer is

50 MB

To determine the amount of memory required to store 60 minutes of music using the MP3 compression scheme, we need to understand how MP3 compression works.

MP3 Compression Overview:
MP3 (MPEG-1 Audio Layer III) is a widely used audio compression format that significantly reduces the file size of digital audio files with little noticeable loss of quality. Typical bit rates for MP3 are between 96 kbps (kilobits per second) and 320 kbps.

Common Calculation for MP3 Storage:
Let's calculate using a typical bit rate.

  • A common bit rate that provides good quality for MP3 audio is 128 kbps.

 

Next, calculate the total data size using 128 kbps for 60 minutes of audio:

  • 1 minute = 60 seconds
  • At a bit rate of 128 kbps, the number of bits needed for one second is \(128 \times 1000\) bits.
  • Thus, for 60 seconds (1 minute), the data required is \(128 \times 1000 \times 60 \text{ bits per minute}\).

Calculating for 60 minutes:

  • Total bits = \(128 \times 1000 \times 60 \times 60\)
  • Total bits ≈ \(460800000\) bits
  • To convert bits to bytes, divide by 8: \(\frac{460800000}{8} = 57600000\) bytes
  • To convert bytes to megabytes (MB), divide by \(10^6\)\(\frac{57600000}{10^6} = 57.6\) MB

Based on this calculation, approximately 60 minutes of MP3 compressed audio at a bit rate of 128 kbps would consume approximately 57.6 MB of storage.

Conclusion:
The best estimate from the given options that closely aligns with this calculated value is 50 MB. Thus, the correct answer is:

  • Correct Answer: 50 MB
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