a three digit number, sum of the digit is 17, the sum of square of digits is 109, if it is subtracted wit 495 the number gets reversed, find the three digit number.

A) 683
B) 863
C) 368
D) 686

• from the given options
  863-495=368
  therfore ans is B.863
• 8 years agoHelpfull: Yes(13) No(1)
• Ans : B
  
  Let unit digit be z , tens digit be y and hundredth digit be x.
  Thus no. = 100x+10y+z
  Acc. to ques, 100x+10y+z - 495 = 100z+10y+x
  100x - x=100z -z +495
  99x=99z +495
  99(x-z)=495
  x-z = 5
  x= z+5
  (3+5=8 . (3=z is the unit digit and 8=x is the hundredth digit ,,Ans B is correct)
• 8 years agoHelpfull: Yes(5) No(2)
• given that
  x+y+z=17
  x^2+y^2+z^2=109
  when 495 is subtracted from the number ,the number get reversed.
  so 100x+10y+z-495 =100z+10y+x
  by solving we get
  x-z =5
  x=z+5
  if we take z=3(units place) then x=8 (hundreds place) and y=6 which satisfies the given question
  so, 863 is the correct answer
• 8 years agoHelpfull: Yes(2) No(0)
• B
  8+6+3=17
  64+36+9=109
  863-495=368=reverse of 863
• 8 years agoHelpfull: Yes(1) No(0)
• x+y+z=17
  x^2+y^2+z^2=109
  100x+10y+z-495=100z+10y+x
  hence we get x-z=5
  then taking consider out of 1st three option only "B" can satisfy all of the three equation.
  
• 8 years agoHelpfull: Yes(0) No(0)
• otion d iss not correct bcz sum of digits are more than 17. now we have 3 options. option c is not correct bcz if we sutract 495 than result become -ve.
  so now check for option A AND B.
  683-495= 188 its not correct
  now check option b
  863-495= 368.
• 8 years agoHelpfull: Yes(0) No(0)
• we can eliminate the option c - because c
• 8 years agoHelpfull: Yes(0) No(2)
• guys simply you can use the trial and error method to find the answer
• 8 years agoHelpfull: Yes(0) No(1)
• We need not go for complete solution...we can simply subtract 495 from a number which seems to get the solution near to reverse of it..863-495=368 and we can crosscheck for other conditions too..6+3+8=17;
• 8 years agoHelpfull: Yes(0) No(0)
• guys only 863 is greater by sufficient amount than 495
• 8 years agoHelpfull: Yes(0) No(1)
• check though options-B
• 8 years agoHelpfull: Yes(0) No(0)
• Just consider the options. 863-465=368.. so the answer is option C
• 8 years agoHelpfull: Yes(0) No(0)
• b) 863
  only number in the option which gets reversed when
  subtracted by 495
• 8 years agoHelpfull: Yes(0) No(0)
• opt B
  683-495=!386
  863-495=368( no. gets reversed)
  hence ans s B) 863
• 8 years agoHelpfull: Yes(0) No(0)
• 863 as after subtracting 495 from 863 the number will be reversed i.e 368.
• 8 years agoHelpfull: Yes(0) No(0)
• 100x+10y+z=495+100z=10y+x
  => 99(x-z)=495
  => x-z=5
  opt (B) 8-3=5
• 8 years agoHelpfull: Yes(0) No(0)
• 683-495=188
  863-495=368
• 8 years agoHelpfull: Yes(0) No(0)
• Answer is 863 ... quickest logic is checking the option
  
• 8 years agoHelpfull: Yes(0) No(0)
• Check options. Sum of the squares should be equal to 109.
  Only Options B and A satisfying. When we subtract 495, only 863 becomes 368
• 8 years agoHelpfull: Yes(0) No(0)