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Question

Total number of divisors of n equals 2 to the power of 5 end exponent times 3 to the power of 5 end exponent times 5 to the power of 10 end exponent times 7 to the power of 2 end exponent that are of the form 4 lambda plus 2 comma lambda greater or equal than 1 is equal to

  1. 198    
  2. 1188    
  3. 1187    
  4. none of these    

The correct answer is: none of these


    4 lambda plus 2 equals 2 left parenthesis 2 lambda plus 1 right parenthesis equals odd multiple greater than or equal to 3 of two
    \total number of divisors = 1.6.11.3-1=197
    (one is subtracted to reject the case when divisor is of the form open 2.3 to the power of 0 end exponent.5 to the power of 0 end exponent times 7 to the power of 0 end exponent close parentheses

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