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05 Jun 2019, 01:14
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
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Question Stats:
73% (02:29) correct
27%
(02:24)
wrong
based on 196
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In a factory, machine A operates on a cycle of 20 hours of work followed by 4 hours of rest, and machine B operates on a cycle of 40 hours of work followed by 8 hours of rest. Last week, the two machines began their respective cycles at 12 noon on Monday and continued until 12 noon on the following Saturday. On which days during that time period was there a time when both machines were at rest?
I. Wednesday
II. Thursday
III. Friday
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
I. Wednesday
II. Thursday
III. Friday
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
05 Jun 2019, 02:50
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Bunuel
Since the machines have a Work+Rest combined cycle of 24 and 48 hrs respectively, On Wednesday just before noon there will be a 4 hour time where both will be on rest and again will repeat on Friday (as they will be in the same position as on Monday noon) IMO Option D
RupamPaul13
Joined: 08 Apr 2019
Last visit: 03 Nov 2020
Posts: 24
Given Kudos: 43
Location: India
Schools: IIMC MBAEx "21 IIMB EPGP "21 (A)
GMAT 1: 700 Q50 V34
05 Jun 2019, 03:04
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machine A will be on rest from 08:00 to 12:00 every day whereas Machine B will be on rest from 04:00 to 12:00 every alternate day. So, only on Wednesday and Friday they will have common time of rest.
