Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460?

• ans is 797,
  
  If you need of remainder 35, while dividing a number by 460. The Unit place of that number must be 5. So 5678+797= 6475
  6475/460 gives reminder 35
• 9 years agoHelpfull: Yes(70) No(3)
• The options given in TCS are 797,980,618 and 955.
  The right option is 797 because 460*14=6440....(5678+797)%460=797
• 11 years agoHelpfull: Yes(49) No(14)
• 337
  5678%460=158
  (460-158)+35=337
• 11 years agoHelpfull: Yes(42) No(36)
• the ans is 797 ,
  add this number (797+5678)=6475 now we have to divide this number by 460 after dividing we get a fraction number =14.076086 now to get the remainder we know that remainder part will come from the fraction part ie (14.076086-14=0.76086) so after mutiplying this( 0.76086 x 460 ) you will exactly the remainder ie
  35, which is answer......
  thanks
• 8 years agoHelpfull: Yes(16) No(2)
• Remainder(5678/460)=158
  Now 158-35=123
  460-123=337
  Number=460*k+337
  k=1 then number= 797
• 8 years agoHelpfull: Yes(15) No(2)
• 337
  5678%460=158
  (460-158)+35=337
  now-> 337 is not in the option then add
  337+460=797
• 8 years agoHelpfull: Yes(15) No(0)
• 337
  5678%460=158
  (460-158)+35=337 answer
• 11 years agoHelpfull: Yes(11) No(14)
• 5678/460..remainder is 158...460/460=1..i.e.rem=1...495/460..rem=35...hence 158+337=495...so tha t rem=35...hence ans: 337
• 9 years agoHelpfull: Yes(3) No(5)
• Dividend = divisor × quotient + remainder
  5678 = 460 ×12 + 158
  Here 158 is the remainder. we need the remainder to be 35 by adding a number.
  Let the number to be added be x.
  
  Since 158>35, the quotient we will get by dividing (5678+x) by 460 should be greater than 12. It may be 13, 14, 15 etc. but i am taking the lowest one here i.e.13.
  
  So (5678 +x) = 460 × 13 + 35 (here 35 is remainder)
  ⇒ 5678 + x -35 = 460 × 13
  ⇒5643 + x = 460 × 13
  ⇒x = 460 × 13 - 5643
  ⇒ x = 337
  
  If you take 14 to be the quotient, you will get x= 797
  If you take 15 to be the quotient, you will get x= 1257
  If you take 16 to be the quotient, you will get x= 1717 etc....
  The x will increase by 460 as you increase the quotient by 1.
• 8 years agoHelpfull: Yes(3) No(1)
• answer is 302. divide 5678 by 460, remainder is 158, 5678-158 is divisible by 460 now add 460 to (5678-158) then it gives 5980 which is 302 greater than 5678
• 11 years agoHelpfull: Yes(2) No(7)
• 5678%460 =158
  (158+x)/460 then r=35 then x=337
• 11 years agoHelpfull: Yes(2) No(7)
• 337 is the correct ans
• 11 years agoHelpfull: Yes(1) No(6)
• 5678%460 =158
  (158+x)/460 then r=35 then x=337
• 11 years agoHelpfull: Yes(1) No(5)
• 797 is the correct answer
• 9 years agoHelpfull: Yes(1) No(1)
• Ans:- 955
  460/5678
  Remainder=158
  (158-35)=123
  The numbers must be added=(1078-123)=955(Ans).
• 9 years agoHelpfull: Yes(1) No(4)
• 5678/460 gives 158 as remainder
  5678-158 = 5520 which is divisible by 460 completely
  and we can add multiples of 420 to 5520 so it remains divisible by 460 without a remainder
  Since all options given are greater than 460,So we add 920 to 5520 which means we add (920-158) to 5678 = 762
  we need 35 remainder , therefore 762+35= 797 ans.
• 8 years agoHelpfull: Yes(1) No(0)
• Let the number is N.
  (N+5678-35) % 460
  (N+5643) % 460 =0
  5643%460 =123
  
  N = 460K -123
  for K=1
  N = 797
• 8 years agoHelpfull: Yes(1) No(0)
• wat are the numbers??
• 11 years agoHelpfull: Yes(0) No(3)
• 5678%460=158
  total reminder=460+35-158=337
  337 is the ans
• 11 years agoHelpfull: Yes(0) No(8)
• 797 is the correct answer
• 9 years agoHelpfull: Yes(0) No(1)
• 767 answer
  5678+797/460
  reminder will be35
  so ans 797
  
• 9 years agoHelpfull: Yes(0) No(2)