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Please answer this question: 3 digit number

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Please answer this question: 3 digit number

by isagar » Tue Jan 20, 2009 9:54 pm
If 'k' is a digit number where units place is not equal to zero, find the tens place of k.

1. tens place of k+4 is 3
2. tens place of k+9 is 4

A) stmt 1 alone is sufficient
B) stmt 2 alone is sufficient
C) Both stmts together are sufficient, but neither stmt alone is sufficient
D) each stmt alone is sufficient
E) Both stmts together are not sufficient.
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Source: — Data Sufficiency |
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by DanaJ » Tue Jan 20, 2009 11:12 pm
1. by itself is not sufficient. If the units digit of the number k is 9, then you get that the tens digit of k+4 = tens digit of k +1, meaning 2. If the units digit of k is, let's say, 3, then the units digit of k and k+4 are equal, giving us the tens digit of 3.
2. by itself is sufficient. This is because the units digit of k is not zero. Since k + 9 has the same tens digit as k only if the units digit of k is zero, that means that the tens digit of k = (tens digit of k+4)-1, meaning 3.
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