Free Practice Question
PS · Problem Solving
705-805
Divisibility/Multiples/Factors
At the start of an experiment, a certain population consisted of x organisms. At the end of each month after the start of the experiment, the population size increased by twice of its size at the beginning of that month. If the total population at the end of five months is greater than 1000, what is the minimum possible value of x?
Answer Choices
Correct answer marked belowA
2
B
3
4
Correct
D
5
E
6
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Explanation
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Official Explanation
Official
At the beginning of month 1: population =
At the end of month 1: population =
At the beginning of month 2: population =
At the end of month 2: population =
At the beginning of month 3: population =
At the end of month 3: population =
At the beginning of month 4: population =
At the end of month 4: population =
At the beginning of month 5: population =
At the end of month 5: population = …
At the end of month 1: population =
At the beginning of month 2: population =
At the end of month 2: population =
At the beginning of month 3: population =
At the end of month 3: population =
At the beginning of month 4: population =
At the end of month 4: population =
At the beginning of month 5: population =
At the end of month 5: population = …
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What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
705-805
Type
PS
Category