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13 Mar 2025, 00:30
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A
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Difficulty:
35%
(medium)
Question Stats:
72% (01:25) correct
28%
(01:37)
wrong
based on 114
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If k is a positive integer, then \(k@\) is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?
A. 1/5
B. 4/5
C. 1
D. 5/4
E. 5
A. 1/5
B. 4/5
C. 1
D. 5/4
E. 5
13 Mar 2025, 00:43
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k@ = 1*1/2*1/3*...1/k
5@ = 1*1/2*1/3*1/4*1/5
4@ = 1*1/2*1/3*1/4
5@/4@ = {1*1/2*1/3*1/4*1/5} / {1*1/2*1/3*1/4}
5@/4@ = 1/5
5@ = 1*1/2*1/3*1/4*1/5
4@ = 1*1/2*1/3*1/4
5@/4@ = {1*1/2*1/3*1/4*1/5} / {1*1/2*1/3*1/4}
5@/4@ = 1/5
Bunuel
23 Aug 2025, 11:18
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We need to fix the question stem. It should be "integer, then k@ is defined"
