If a number 272758 and 273437 is divided by N then they give remainder as 13 and 17 respectively. find the sum of digits of number N.

• since 13 n 17 are remainders
  thus subtracting gives 272758-13=272745 n 273437-17=273420
  then GCF of 272745,273420 gives 45
  ANS:4+5=9 (easy to find gcf,N may be less than 45 also,GO ACCORDING TO THE OPTIONS)
• 12 years agoHelpfull: Yes(42) No(2)
• find HCF of
  272758-13 and 273437-17,,,
  HCF will be 45
  Hence, 4+5,,,
  ans is 9
• 12 years agoHelpfull: Yes(10) No(1)
• hey frnz..ye ques mere aptitude me aya hai ques repeat ho rey hai believ me i cleared the apt..
• 12 years agoHelpfull: Yes(6) No(3)
• ANSWER should be 1+5 = 6 .
  because given data is 13 and 17 as remainder so minus both of no. from 272758-13=272745 and 273437-17=273420 so now suppose x,y are answer and diviser is N for both no.
  272745/n=x----(1)
  273420/n=y---(2)
  compare both equations.
  and x/y=18183/18228
  so now these two are values of no when it divided by same no N .
  for find value of N is 272745/273420 is divide by 18183 and 18228 so no will be N=15 so sum of digit is N=1+5
  N=6
• 12 years agoHelpfull: Yes(5) No(11)
• hey sakshi congrats
  ans to bta do
• 12 years agoHelpfull: Yes(5) No(1)
• Here it is not unique solution
  272758 -13 = 272745 and 273437- 17 =272720
  272745 and 272720 are divisible by 1,3,9,5,15,45
  So Sum of the digits is 1 or 3 or 5 or 9 or 6. (4+5 =9)
  N is not unique. It is not mentioned greatest 2 digit number.
  272720 is divisible by 4 and 7 but 272745 is not divisible by 4 and 7 it is divisible by 11. Here I have considered all factors
• 11 years agoHelpfull: Yes(1) No(0)
• its sure that answer has to be bigger than 17 as we getting it as remainder
  other wise if ans is like 9 ,6 etc then why don't they go for more simplification
  17mod9=8
  13 mod 9=4
  
• 11 years agoHelpfull: Yes(1) No(0)
• 272758-13=272745
  273437-17=273420
  now calculate hcf of 272745 & 273420 which will be 15
  sum of digits will be 1+5=6.
• 8 years agoHelpfull: Yes(0) No(0)