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Answer :
The value of x is between 25 and 50 when x/100 is between 1/4 and 0.5. The only value from the given options that falls within this range is 20. So the correct option is 2) 20.
The question asks to find the value of x if x divided by 100 is between 1/4 and 0.5.
A standard way of expressing a fraction with a denominator of 100 is to convert it to a percentage.
Therefore, 1/4 is equal to 25 percent, and 0.5 is equal to 50 percent.
To determine the range of possible values of x, we multiply these percentages by 100 since the question gives x/100 as the fraction.
For the lower bound of x, we have 0.25 (or 25 percent) of 100, which is 25.
For the upper bound, we have 0.5 (or 50 percent) of 100, which is 50.
Therefore, the value of x must be between 25 and 50.
Looking at the provided options, the correct value that falls within this range is option 2) 20, which is the only value between 25 and 50. So correct option is 2.
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