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Q:

A number when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of: 

  • 1
    19
  • 2
    7
  • 3
    10
  • 4
    2
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Answer : 4. "2 "
Explanation :

On dividing the given number by 119, let k be the quotient and 19 as remainder.

Then, number = 119k + 19

= 17 × 7k + 17 × 1 + 2

= 17 (7k + 1) + 2

Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder.

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