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# If the units digit of the three-digit positive integer k is

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If the units digit of the three-digit positive integer k is [#permalink]

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06 Nov 2004, 10:29
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If the units digit of the three-digit positive integer k is
nonzero, what is the tens digit of k?
(1) The tens digit of k + 9 is 3.
(2) The tens digit of k + 4 is 2.

A. Statement (1) ALONE is sufficient, but statement (2) alone
is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone
is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER
statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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06 Nov 2004, 10:45
A)
1- Since units digit cannot be 0, then it is b/w 1-9. Since you are adding 9 to k and tens digit will HAVE to move up by 1, then tens digit is now = 2. suff.
2- If units digit is 3, then tens will stay at 2 and original tens digit is 2. If units digit is 9, then tens digit would have been 1 since adding 9 to units digit would have brought tens digit up to 2. not suff.
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06 Nov 2004, 10:48
Let the digits in k be abc , so
1. k+9 has tens digit as 3
=> c + 9 and c > 0 will always add 1 to digit b. So b must be 2 in K.

2. k+ 4 has tens digit as 2.
=> c + 4 and c > 0 may or may not add 1 to digit b. This data is insufficient.

06 Nov 2004, 10:48
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