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A
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Difficulty:
45%
(medium)
Question Stats:
67% (01:42) correct
33%
(02:01)
wrong
based on 2255
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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.
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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
10 Aug 2009, 00:40
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Lets say k=x,y,z.
All of x, y and z are in the range of 1-9 (Given). Find Tens Digit ie y.
Stmt 1 Says: K + 9 = gives a number with 3 as the tens digit.
With that we can safely say that the Tens digit of k has to be 2. For eg let k be 121. Adding 9 will give 130. Similiarly, if k = 129, adding 9 will give 138. If we have k = 111, adding 9 will give 120 which goes against the stmt.
Stmt 2 : Not Suff as explained by alwynjoseph.
Hence, A.
All of x, y and z are in the range of 1-9 (Given). Find Tens Digit ie y.
Stmt 1 Says: K + 9 = gives a number with 3 as the tens digit.
With that we can safely say that the Tens digit of k has to be 2. For eg let k be 121. Adding 9 will give 130. Similiarly, if k = 129, adding 9 will give 138. If we have k = 111, adding 9 will give 120 which goes against the stmt.
Stmt 2 : Not Suff as explained by alwynjoseph.
Hence, A.
