Mechmeera wrote:d = 0.7abc
In the decimal representation of d above, is a + b + c > 15?
(1) When d is rounded to the nearest thousandth, the result would be 0.765
(2) When d is rounded to the nearest hundredth, the result would be 0.77
Statement 1: When d is rounded to the nearest thousandth, the result would be 0.765.
Here, the range for d is as follows:
0.7645 ≤ d < 0.7655.
If d = 0.7645, then a+b+c = 15.
If d = 0.7646, then a+b+c > 15.
INSUFFICIENT.
Statement 2: When d is rounded to the nearest hundredth, the result would be 0.77.
Here, the range for d is as follows:
0.765 ≤ d < 0.775.
If d = 0.7650, then a+b+c < 15.
If d = 0.7659, then a+b+c > 15.
INSUFFICIENT.
Statements combined:
Statement 1: 0.7645 ≤ d < 0.7655.
Statement 2: 0.765 ≤ d < 0.775.
OVERLAP between the two ranges:
0.765 ≤ d < 0.7655.
Options for d:
0.7650, 0.7651, 0.7652, 0.7653, 0.7654.
In every case, a+b+c ≤ 15.
SUFFICIENT.
The correct answer is
C.
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