Question

When a number is divided by 779, we get a remainder of 47. What remainder will be obtained by dividing the same number by 19?

पर्याय

• 6

• 7

• 9

• 11

Answer 1

9 
Explanation:
Let x be the number and y be the quotient.
Then, x = 779y + 47
= 19 x 41y + 19 x 2 + 9 = 19(41y + 2) + 9
∴ Required remainder = 9