When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
A. 339 B. 349
C. 369 D. Data inadequate

• Don't know the exact way. But here it is.. :P Plz chk it out!
  Let x be the number.
  We know x/13 remainder is 11
  And x/17 remainder is 9
  In place of x i have divided by using the given data's.
  so 349/13 gives the remainder 11 and 349/17 gives the remainder 9
  And the answer must be B)349
• 9 years agoHelpfull: Yes(7) No(0)
• Go through the options...
• 9 years agoHelpfull: Yes(3) No(0)
• x = 13p + 11 and x = 17q + 9
  
  13p + 11 = 17q + 9
  
  17q - 13p = 2
  
  q = 2 + 13p
  17
  The least value of p for which q = 2 + 13p is a whole number is p = 26
  17
  x = (13 x 26 + 11)
  
  = (338 + 11)
  
  = 349
• 7 years agoHelpfull: Yes(3) No(0)
• No. ÷ 13 remainder = 11
  No. ÷ 17 remainder = 9
  No. = 13a + 11 = 17b + 9
  
  13a + 11 = 17b + 9
  13a = 17b – 2
  13a = 13b + (4b – 2)
  a = 13b/13 + (4b – 2)/13
  = b + (4b – 2)/13
  (4b – 2) is dividable by 13
  
  trying values of b = 1, 2, 3, ...
  least value of b
  if b = 7
  a = 7 + 2 = 9
  
  least No.
  No. = 13a + 11
  = 117 +11 = 128
  not in the option
  
  as number (4b – 2) is divisible by 13 next value of b = 7 + 13 = 20
  
  next value b =20
  a = b + (4b – 2)/13
  = 20 + 6 = 26
  No. = 13a + 11
  = 338 +11 = 349
  in the option ------- c
  -------
  
• 9 years agoHelpfull: Yes(1) No(2)
• Ans:24
  Exp:
  3+5=8 tot
  c pay = 8*8=64
  then A get=64*3/8=24
• 11 years agoHelpfull: Yes(0) No(9)
• http://www.indiabix.com/aptitude/numbers/001007
• 8 years agoHelpfull: Yes(0) No(0)
• 349 as 349/13 = 26 + remainder of 11 and 349/17 = 20 + remainder of 9
• 7 years agoHelpfull: Yes(0) No(0)
• b 349
  (349-11)/13=0 as rem
• 6 years agoHelpfull: Yes(0) No(0)