3. Number when divided by 5,2,3 successively in order to get remainder 0,1,2. What is remainder of same number, when divided by 2,3,5 successively?

• Remainder will be 1,0,4
  
  Number is 55 .
  when divided by 5, quotient is 11 and remainder is zero.
  when 11 is divided by 2, quotient is 5 and remainder is 1.
  when 5 is divided by three, quotient is 1 and remainder is 2.
  
  when same operation is applied on 55 i.e. successively divided by 2,3,5..
  we get remainders as 1,0,4 successively.
• 11 years agoHelpfull: Yes(28) No(7)
• If x is the last quotient, then
  
  Number will be
  
  (2*(3x+2)+1)*5 = 30x+25
  
  For min number , put x=1, then number will be 55.
  If x=2, number is 85
  
  but in each case , Remainder will be 1,0,4 when divided by 2,3,5 successively.
  
• 11 years agoHelpfull: Yes(22) No(2)
• no need to calculate the correct no.
  number=(divisor*quotient)+rem
  here when div=3,rem=2 hence no=3k+2
  when div=2,rem=1 hence no=2(3k+2)+1
  when div=5,rem=0 hence no=5(2(3k+2)+1)+0
  finally number=30k+25
  now successively divide it by 2,3,5
  25/2=12, rem=1
  12/3=4, rem=0
  4/5=0, rem=4
• 11 years agoHelpfull: Yes(21) No(0)
• 55 should be correct.
  
  @ Niki,
  
  Pls check.
  if no is 35, then remainders will be 0,1,0 when divided by 5,2,3 successively.
• 11 years agoHelpfull: Yes(7) No(0)
• how can one assume that it will be 55 directly
• 11 years agoHelpfull: Yes(4) No(3)
• remainder will be 1,0,4
  
  Number can be 25,55,85,...
  
  @divya
  put x=0,min no. will be 25
• 11 years agoHelpfull: Yes(4) No(1)
• x=5y+0
  y=2z+1
  z=3*1+2=5
  thus y=11 and x=55
  now on dividing 55 by 2 gives remainder as 1 and quotient as 27
  now divide 27 by 3 gives 0as remainder and 9 as quotient
  now on dividing 9 by 5 gives remainder as 4
  
• 11 years agoHelpfull: Yes(4) No(0)
• 5*(2*(3*x+2)+1)
  put x=1
  number can be 25
  hence ans. is 4
  
• 11 years agoHelpfull: Yes(1) No(1)
• 5 2 3
  0 1 2
  its a rule by multiplying (((2*2)+1)*5)+0)=(((4)+1)*5)=(5*5)=25
  now take sucession division of 25
  by 2,3,5
  25/2=14 quotient and 1 remainder
  14/3=4 quotient and 2 remainder
  4/5=4 remainder
  so ans is (1,2,4)
  
• 8 years agoHelpfull: Yes(1) No(0)
• the number can be 35 also, in that case remainder will be 1,2,0
• 11 years agoHelpfull: Yes(0) No(8)
• The number is 25 and the answer is 1, 0, 4..
  
  Part 1:
  The number(25) is successively divided by 5, 3, 2 gets reminder 1,2,0==>
  
  5 l_25_
  3 l_5___-0
  l_1___-2 ==>> 1, 2, 0
  
  (or)
  
  25/5= 5 (quotient) 0(reminder)
  5/3= 1(quotient) 2(reminder)
  further u cant divide the quotient value... so, 1(quotient), 2(reminder), 0(reminder)
  
  Part 2:
  
  The same number is successively divided by 2, 3, 5==>>
  
  2 l_25__
  3 l_12__-1
  5 l__4___-0 ==>> 1,0,4 (answer)
• 8 years agoHelpfull: Yes(0) No(0)