A number is divided by 5,2 and 3 successively in order to get remainders of 0,1, and 2 respectively. What will be the remainders when the same number is divided by 2,3 and 5 respectively?

• @ Rohit Kumar
  
  The question says divides successively...I am doing a hit and trial thing, I am not too sure
  
  When 55 is divided by 5, it leaves 0 remainder
  We are left with 11 quotient, which when divided by 2 leaves 1 remainder
  When the left quotient 5 is divided by 3, we get 2 as remainder
  
  Now when we divide the same number but in a different order :
  
  When 55 is divided by 2, it leaves 1 remainder
  We are left with 27 as quotient, which when divided by 3 leaves 0 remainder
  When the left out quotient 9 is divided by 3, we get 4 as remainder
  
  So I think the answer should be 1,0,4
• 11 years agoHelpfull: Yes(45) No(4)
• firstly do 5-0=5,2-1=1 and 3-2=1
  now L.C.M of 5,1,1=5 so the no will be 5
  now divide 5 by 2,3,5
  remainder = 1,2,0
• 11 years agoHelpfull: Yes(13) No(6)
• let the no b x
  5| x
  2|y-0
  3|z-1
  1
  z=3*1+2 =5
  y=2*z+1 = 11
  x=5*y+0 = 55
  55/2=27 55%2=1
  27/3 = 9 27%3=0
  9%5=4
  so the answer is 1,0,4.
• 11 years agoHelpfull: Yes(6) No(1)
• suppose there is a number 35,
  when we divide 35 by 5,2 and 3 we get remainders 0,1 and 2 respectively
  when we divide the same number 35 by 2,3 and 5 we will get 1,2 and 0 as remainders respectively..
• 11 years agoHelpfull: Yes(4) No(12)
• number is 25...
  when u successively divide it by 5,2,3 gives 0,1,2
  and when devides by 2,3,5 it gives 1,0,4..
• 11 years agoHelpfull: Yes(4) No(3)
• ans is- 1,1 and 0
• 11 years agoHelpfull: Yes(3) No(2)
• let, the no = a
  
  ( a - 0 ) / 5 = q1
  ( q1 - 1 ) / 2 = q2
  ( q2 - 2 ) / 3 = q3
  
  let, q3 = 1 ( u can choose any +ve integer no )
  
  By, back calculation, q2 = 8 , q1 = 17 , a = 85
  
  So, the number is 85 ( for q3=1 )
  
  If we divide 85 by 2,3, and 5 respectively then the remainder will be 1,0, and 4
  
  Answer ---> 1,0,4
• 9 years agoHelpfull: Yes(3) No(0)
• 2,1,0 should be the ans
• 11 years agoHelpfull: Yes(1) No(9)
• i think the answer is 1,1,0 cz..
  @ritika M when we divide 25 by 5 we get remainder 0 ,and we will left with quotient 5 ,which wen divide by 2 leavers remainder 1 and quotient 2 and when we divide 2 by 3 we will get remainder as 2...
  ans since in the question we have to divide the num by 2,3 and 5 respectively ...when we divide 25 by 2 we will get 1 as remainder similarly if we divide 25 with 3 we will gwt 1 as the remainder and when we divide 25 by 5 we will get 0 as remainder ...
• 11 years agoHelpfull: Yes(1) No(2)