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26 Mar 2025, 00:30
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
89% (01:18) correct
11%
(00:44)
wrong
based on 70
sessions
History
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If machine X ran continuously at a uniform rate to fill a production order, at what time did the machine finish filling the order?
(1) Machine X had filled 2/3 of the order by 10:00 a.m. and 5/6 of the order by 10:30 a.m.
(2) Machine X had filled 1/6 of the order by 8:30 a.m. and 1/3 of the order by 9:00 a.m.
(1) Machine X had filled 2/3 of the order by 10:00 a.m. and 5/6 of the order by 10:30 a.m.
(2) Machine X had filled 1/6 of the order by 8:30 a.m. and 1/3 of the order by 9:00 a.m.
26 Mar 2025, 01:18
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Statement (1)
- At 10:00 a.m., machine X had completed 2/3 of the order.
- At 10:30 a.m., machine X had completed 5/6 of the order.
From this, we can determine the rate of the machine:
- In 30 minutes, it completed (5/6 - 2/3) = (10/12 - 8/12) = 2/12 = 1/6 of the order.
- This means the machine fills 1/6 of the order every 30 minutes.
- Since 5/6 of the order was completed by 10:30 a.m., the remaining 1/6 will take another 30 minutes, so the order is completed at 11:00 a.m
Sufficient.
Statement (2)
- At 8:30 a.m., machine X had completed 1/6 of the order.
- At 9:00 a.m., machine X had completed 1/3 of the order.
From this, we can determine the rate:
- In 30 minutes, it completed (1/3 - 1/6) = (2/6 - 1/6) = 1/6 of the order.
- Since the machine fills 1/6 of the order every 30 minutes, we can compute the completion time.
Sufficient.
Option D
- At 10:00 a.m., machine X had completed 2/3 of the order.
- At 10:30 a.m., machine X had completed 5/6 of the order.
From this, we can determine the rate of the machine:
- In 30 minutes, it completed (5/6 - 2/3) = (10/12 - 8/12) = 2/12 = 1/6 of the order.
- This means the machine fills 1/6 of the order every 30 minutes.
- Since 5/6 of the order was completed by 10:30 a.m., the remaining 1/6 will take another 30 minutes, so the order is completed at 11:00 a.m
Sufficient.
Statement (2)
- At 8:30 a.m., machine X had completed 1/6 of the order.
- At 9:00 a.m., machine X had completed 1/3 of the order.
From this, we can determine the rate:
- In 30 minutes, it completed (1/3 - 1/6) = (2/6 - 1/6) = 1/6 of the order.
- Since the machine fills 1/6 of the order every 30 minutes, we can compute the completion time.
Sufficient.
Option D
26 Mar 2025, 03:32
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Question: At what time did the machine fill the order?
Statement 1: Machine X had filled 2/3 of the order by 10:00 a.m. and 5/6 of the order by 10:30 a.m.
66.66% by 10 AM and 83.33% by 10:30
i.e. 16.66* in 30 minutes
so work will be done by 11 AM
SUFFICIENT
Statement 2: Machine X had filled 1/6 of the order by 8:30 a.m. and 1/3 of the order by 9:00 a.m.
exactly same calculation as done in statement 1 hence
SUFFICIENT
Answer: Option D
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