LUANDATO wrote:If n denotes a decimal, then is n > 0.9?
(1) When n is rounded to the nearest integer, the result is 1.
(2) When n is rounded to the nearest tenth, the result is 0.9.
Moving left to right on the number line:
We ROUND UP when we reach HALFWAY between two values.
Otherwise, we ROUND DOWN.
Statement 1:
0-----
0.5-----1-----1.5-----2
Any value in the green range is rounded to 1.
Thus:
0.5 ≤ n < 1.5.
If n=0.5, then n < 0.9, with the result that the answer to the question stem is NO.
If n=1, then n > 0.9, with the result that the answer to the question stem is YES.
INSUFFICIENT.
Statement 2:
0.8-----
0.85-----0.9-----0.95-----1
Any value in the blue range is rounded to 0.9.
Thus:
0.85 ≤ n < 0.95.
If n= 0.85, then n < 0.9, with the result that the answer to the question stem is NO.
If n=0.949, then n > 0.9, with the result that the answer to the question stem is YES.
INSUFFICIENT.
Statements combined:
n=0.85 satisfies both statements, since it is included in both the blue range and the green range.
In this case, the answer to the question stem is NO.
n=0.949 satisfies both statements, since it is included in both the blue range and the green range.
In this case, the answer to the question stem is YES.
INSUFFICIENT.
The correct answer is
E.
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