a number when divided by 119 leaves a remainder of 19 if it is divided | Examsbook

821

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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