Free Practice Question
PS · Problem Solving
705-805
Divisibility/Multiples/Factors
The value of is
Answer Choices
Correct answer marked belowless than
Correct
B
greater than and less than
C
greater than and less than
D
greater than and less than
E
greater than
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Official Explanation
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Official Solution: The value of is
Expressions both in the numerator and denominator are quite ugly and do not factor nicely. However, looking at the answer options, we see that they are well spread, which should be a hint that we should approximate.
Observe that is a significantly larger number than , which makes negligible in comparison. Likewise, is much, much larger than , making also negligible.…
Expressions both in the numerator and denominator are quite ugly and do not factor nicely. However, looking at the answer options, we see that they are well spread, which should be a hint that we should approximate.
Observe that is a significantly larger number than , which makes negligible in comparison. Likewise, is much, much larger than , making also negligible.…
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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