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JEE Advanced Model Paper 14 with solutions for online practice
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Question : 48
Total: 60
The number of natural numbers less than or equal to 2012, which are relatively prime to 2012 is
1004
1006
1005
4
Validate
Solution:
2012 =
2
2
× 503 where 503 is prime
⇒ {503 , 1006 , 2 , 4 , 6 , ...... , 2012} are not relatively to 2012
Required answer = 2012 - 1008 = 1004
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