Q:
A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?
Answer
Number = ( 779 x a) + 47, where "a" is the quotient
= (19 x 41 x a) + (19 x 2) + 9
= 19 x (41a + 2) + 9
= 19 x (New quotient) + 9
Required remainder = 9
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