What is the remainder when +ve integer x is divided by 3 ?
1) x divided by 6 gives a remainder of 2
x = 6q + 2
x = (3*2)q + 2
x = 3(2q) + 2
When x is divided by 3, the remainder is 2, but the quotiend must be doubled. Sufficient
8 = 6(1) + 2 -> 8 = 3(2) + 2
20 = 6(3) + 2 + -> 20 = 3(6) + 2
2) x divided by 15 gives a remainder of 2
x = 15q + 2
x = (3*5)q + 2
x = 3(5q) + 2
When x is divided by 3, the remainder is 2, but the quotiend must increase by a factor of 5. Sufficient
17 = 15(1) + 2 -> If 17 = 3(5) + 2
47 = 15(3) + 2 -> If 47 = 3(15) + 2
Correct Answer [spoiler](D)[/spoiler]
Last edited by
MAAJ on Fri May 06, 2011 6:31 am, edited 3 times in total.
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