Tina has bought a 4 gigabyte MP3 player. If each song lasts 3 minutes and is recorded at 128 kilo bits per second, then how many songs can be stored on Tina's MP3 player?

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UGC NET Paper 1: Held on 23rd Feb 2023 Shift 2
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  1. 1156
  2. 1256
  3. 1356
  4. 1456

Answer (Detailed Solution Below)

Option 4 : 1456
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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Key Points 

Storage capacity of Tina's MP3 player:

  • The storage capacity of Tina's MP3 player is 4 gigabytes.
  • 1 gigabyte = 8 * 1024 * 1024 Kilo bits So, 4 gigabytes = 4 * 8 * 1024 * 1024 = 33554432 kilobits

Size of each song:

  • The bitrate of each song is 128 kilo bits per second.
  • This means that each second of the song takes up 128 kilo bits of storage space.
  • A minute is equal to 60 seconds, so a song that lasts 3 minutes takes up 128 * 180 = 23040 bits of storage space.

Number of songs that can be stored on Tina's MP3 player:

  • The number of songs that can be stored on Tina's MP3 player is the total storage capacity of the MP3 player divided by the size of each song.
  • This is 33554432 / 23040 = 1456 songs.

 

Therefore, the correct answer is 4.

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