题目信息
If 1 < d < 2, is the tenths digit of the decimal representation of d equal to 9 ?
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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正确答案:
B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Arithmetic Place value
Determine if the tenths digit of d, where 1 < d < 2, is 9.
Given d + 0.01 < 2, it follows that d < 1.99. It is possible that the tenths digit of d is 9 (for example, 1.98 < 1.99, and the tenths digit of 1.98 is 9), and it is possible that the tenths digit of d is not 9 (for example, 1.88 < 1.99, and the tenths digit of 1.98 is 8); NOT sufficient. Given d + 0.05 > 2, it follows that d > 1.95. Then 1.95 < d < 2, since d < 2, so the tenths digit of d is 9; SUFFICIENT.
The correct answer is B;statement 2 alone is sufficient.
Determine if the tenths digit of d, where 1 < d < 2, is 9.
Given d + 0.01 < 2, it follows that d < 1.99. It is possible that the tenths digit of d is 9 (for example, 1.98 < 1.99, and the tenths digit of 1.98 is 9), and it is possible that the tenths digit of d is not 9 (for example, 1.88 < 1.99, and the tenths digit of 1.98 is 8); NOT sufficient. Given d + 0.05 > 2, it follows that d > 1.95. Then 1.95 < d < 2, since d < 2, so the tenths digit of d is 9; SUFFICIENT.
The correct answer is B;statement 2 alone is sufficient.


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