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A number, when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of :
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- 19
- 10
- 7
- 2
Correct Option: D
On dividing the given number by 119, let k be the quotient and 19 as remainder.
Then, number = 119k + 19
number = 17 × 7k + 17 × 1 + 2
number = 17 (7k + 1) + 2
Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder.
Hence , required remainder is 2.
