We round UP when we reach the HALFWAY point between two values.
Any value BELOW the halfway point is rounded DOWN.
Let x = the number such that 0 < x < 1.
Statement 1: When rounded to the nearest tenth, the result is 0.4.
0.35 ≤ x < 0.45.
Please note that 0.45 is the UPPER LIMIT.
Any value below 0.45 -- even 0.4499 -- is rounded DOWN to 0.4.
Statement 2: When rounded to the nearest hundredth, the result is 0.40.
0.395 ≤ x < 0.405.
Please note that 0.405 is the UPPER LIMIT.
Any value below 0.405 -- even 0.40499 -- is rounded DOWN to 0.40.
Statements combined:
The range in blue is contained within the range in red.
Thus, the range in blue satisfies both statements.
If x = 0.395, then the hundredth digit of x is 9.
If x = 0.40499, then the hundreds digit of x is 0.
Since the hundredths digit of x can be different values, INSUFFICIENT.
The correct answer is E.
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