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If 1 < d < 2, is the tenths digit of the decimal representation of d equal to 9 ? (1) d + 0. 012
If 1 < d < 2, is the tenths digit of the decimal representation of d equal to 9 ? (1) d + 0. 012
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2022-10-18
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问题
If 1 < d < 2, is the tenths digit of the decimal representation of d equal to 9 ?
(1) d + 0. 01<2
(2) d+0. 05>2
选项
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.
答案
B
解析
Determine if the tenths digit of d, where 1 < d < 2, is 9.
(1) 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.
(2) 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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