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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.
(1) The tens digit of k + 9 is 3.
(2) The tens digit of k + 4 is 2.
30 Mar 2010, 17:58
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If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?
k=abc, c not zero, question b=?
(1) The tens digit of k + 9 is 3:
Tens digit of k+9, which is 3, gains 1 unit from c+9 (as c is not zero), hence b+1=3 --> b=2. Sufficient.
(2) The tens digit of k + 4 is 2
Tens digit of k + 4, which is 2, may or may not gain 1 unit from c+4, hence either b+1=2 or b+0=2. Two different values for b. Not sufficient.
Answer: A.
Hope it's clear.
k=abc, c not zero, question b=?
(1) The tens digit of k + 9 is 3:
- abc
+9
---
a3x
Tens digit of k+9, which is 3, gains 1 unit from c+9 (as c is not zero), hence b+1=3 --> b=2. Sufficient.
(2) The tens digit of k + 4 is 2
- abc
+4
---
a2x
Tens digit of k + 4, which is 2, may or may not gain 1 unit from c+4, hence either b+1=2 or b+0=2. Two different values for b. Not sufficient.
Answer: A.
Hope it's clear.
09 Aug 2009, 12:35
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tarek99
The answer is A.
Consider Statement 1:pick numbers to resolve it, if unit digit of k takes from 1 to 9, then adding nine would increase the tens digit by 1, hence it should be 2..sufficient to answer the question
Consider statement 2: if unit digit takes anything between 1 t0 5 , then on adding 4 tens digit remains the same. so in this case it would be 2, but if unit digit take from 6 to 9, tens digit would increase by 1, so this case its 1.
hence statement 1 alone is sufficient but not 2
