Math

Find the smallest positive integer that leaves a remainder of 5 when divided by 7, a remainder of 6 when divided by 11, and a remainder of 4 when divided by 13.

  1. 0
  2. 2
asked by Jimmy-Please HELP
  1. leaving remainder of 5 when divided by 7 ...
    must be multiples of 7 plus 5 :
    12 19 26 33 40 47 54 61 68 75 82 89 96 103 110 ..
    remainder of 6 when divided by 11
    17 28 39 50 61 72 83 94 105 116 127 ...
    remainder of 4 when divided by 13
    17 30 43 56 69 82 95 108 121 ...
    noting so far, I will let you go on for a bit more.

    Looking for a common number in all 3 lists,

    1. 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    How many integers bewteen 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4? Find the smallest positive integer that leaves a remainder 5 when divided by 7, a remainder 6 when divided
  2. Math

    How many integers between 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4? Find the smallest positive integer that leaves a remainder 5 when divided by 7, a remainder 6 when divided
  3. Maths

    What is the smallest possible positive integer x>5 , that leaves a remainder of 5 whenever it is divided by 14 , 8 or 77 ?
  4. Algebra

    What is the smallest possible positive integer x>5 , that leaves a remainder of 5 whenever it is divided by 14 , 8 or 77 ?
  5. Math

    Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11. Using the Chinese Remainder Theorem.
  6. number theory

    Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11
  7. Math - Number Properties

    What is the smallest integer greater than 5 that leaves a remainder of 5 when divided by any of the integers 6,8, and 10?
  8. MATH

    What is the smallest integer greater than 5 that leaves a remainder of 5 when divided by any of the integers 6,8, and 10?
  9. math

    What is the smallest positive integer which, when divided by 6 gives remainder 1 and when divided by 11 gives remaider 6.
  10. maths

    What is the smallest positive integer which gives 1 as a remainder when divided by the numbers 2,3,4,5,6

More Similar Questions