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题库 / Prep2007E2-DS-11
What is the value of the positive integer m ?
(1) When m is divided by 6, the remainder is 3.
(2) When 15 is divided by m, the remainder is 6.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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6是余数，表明除数大于6
St2: When 15 is divided by m, the remainder is 6.
15 = mq + 6 ---> mq = 9
as m is a positive integer
(m,q) = (1,9)
(m,q) = (3,3)
(m,q) = (9,1)
Remainder = 6 (given)
0<= remainder < divisor(m)
Only 9 satisfies.
Clearly B is sufficient.
cr: gmatclub
B--> 15=mq+6. So mq=9.
We have 3 possibilities:
1: m=1 and q=9
2: m=3 and q=3
3: m=9 and q=1
But as from the general rule (0 6, m=9
Sufficient