what is the maximum value of n when 185! divided by 185^n is given integer value?
Asked in Elitmus 5th july 2015
a) 91
b) not remember
c)36
d) 24

• ans: 5
  factors of 185 is 37*5.
  Now to find max value of n we have to fine no. of 5s and no. of 37s in 185!..... The lowest value will be n.
  So, no of 5s are [185/5]+[185/25]+[185/125]= 37+7+1=44
  Again no of 37 is [185/37]=5
  
  So. n=5
• 9 years agoHelpfull: Yes(29) No(5)
• Question is 189!/189(pow n)
  factors of 189 are 3*3*3*7
  So highest power will be 189/7+27/7+3=30(sum of remainder
• 9 years agoHelpfull: Yes(18) No(11)
• i think ans should be 45.
  
  w.k.t 185/5+185/5^2+185/5^3 = 37+7+1=45.
• 9 years agoHelpfull: Yes(7) No(8)
• according to my knowledge,ans=5
• 9 years agoHelpfull: Yes(3) No(0)
• ans is ... 30
  
  solution is -:
  
  factor of 189 is =3(pow of 3)*7
  so if we divide the power of 189/7.......... till we get the reminder less then 7 .........i mean we will get 189/7+27/7+3 =30
  
• 9 years agoHelpfull: Yes(3) No(0)
• 189! / 189^n is the correct question
• 9 years agoHelpfull: Yes(2) No(3)
• I think there is something wrong with the questions and even the options.Can anyone plz post the right question.
  
• 9 years agoHelpfull: Yes(2) No(0)
• Hi
  have u gave elitmus on 5july and if u remember sime question that was come in elit
  us plzzzz tell me with ans becs i am ging to givv elitmus on12@july plzzzzz id sharmaakanksha37@gmail.com
• 9 years agoHelpfull: Yes(1) No(3)
• |185/185|+|185/185^2|+|185/185^3|+.....
  =1
  so n=1
• 9 years agoHelpfull: Yes(0) No(13)
• [185/185]+[185/185^2]=1+0=1
  
• 9 years agoHelpfull: Yes(0) No(2)
• if que. 189!/189
  then answer will be 31.
  factors of 189 are 3*3*3*7
  for 7
  189/7+27/7+3=30
  and
  for 3^3
  189/3+189/9+189/27+189/81=93
  93/3=31
  and
  
• 9 years agoHelpfull: Yes(0) No(1)