richachampion wrote:When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is also 3. What is the remainder when y is divided by 19?
A. 0
B. 1
C. 2
D. 3
E. 4
When x is divided by 19, the remainder is 3.
Implication:
x = 19a + 3, where a is a nonzero integer.
Options for x:
3, 22, 41...
When positive integer x is divided by 11, the quotient is y and the remainder is 3.
Implication:
x = 11y + 3, where y is a nonzero integer.
Options for x:
3, 14...
The smallest value common to both lists is 3.
If x=3, then y=0.
What is the remainder when y is divided by 19?
0/19 = 0 R0.
The correct answer is
A.
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