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题库 / GMATAdvanced-DS-72
If K is a positive integer less than 10 and N=4, 321+K, what is the value of K?
(1)N is divisible by 3.
(2)N is divisible by 7.
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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N=4321+K
sum of digits of N = 4+3+2+1 = 10
so K can be 2,5 or 8 to make N divisible for 3.
Not sufficient.
If we divide 4321 by 7, we get the remainder of 2. To make N divisible 7, K must be 5, since K is a positive integer less than 10.
sufficient.
B
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