All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2010 Mathematics

Q. 22. A person is to count 4500 currency notes. Let  denote the number of notes he counts in the minute. If and are in an AP with common difference –2, then the time taken by him to
count all notes is.

  1. 34 minutes
  2. 125 minutes
  3. 135 minutes
  4. 24 minutes

Sol :

Answer: (1)

Q. 23 .   Let be a positive increasing function with 

  1. 3
  2. 1

Sol :   Clearly

Answer: (4)

Q. 24. Let be a function defined on R such that  equals

Sol:

Answer: (1)