text: # When divided by 30, 36, & 80 gives a remainder 11 in each case is :
  
  A number between 1000 and 2000 which when divided by 30, 36, & 80 gives a remainder 11 in each case is
  
  1. 1641
  2. 1712
  3. 1523
  4. 1451
  Anurag Mishra Professor Asked on 29th December 2015 in
  
  Explanation:-
  The factors of 30 = 2 x 3 x 5
  The factors of 36 = 2 x 2 x 3 x 3
  The factors of 80 = 2 x 2 x 2 x 2 x 5
  
  Then, the L C M of 30, 36, 80 = 2 x 2 x 2 x 2 x 3 x 3 x 5
  = 720
  
  The second multiple of 720 = 720 x 2 = 1440 which is between 1, 000 and 2, 000.
  Gives remainder = 11
  Then, the number = 1440 + 11
  = 1451
  
  Then, a number between 1, 000  and 2, 000 which when divided by 30, 36  & 80 gives a remainder 11 in each case is 1451.
  
  Hence, the correct answer is option (4) 1451.
  
  Monis Rasool Professor Answered on 29th December 2015.