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In Quinn's dormitory room, there are three snooze-alarm clocks, each of which is set at a different time. Clock A goes off every 25 minutes, clock B goes off every 60 minutes, and clock C goes off every 75 minutes. If all three clocks go off at 6:00 A.M., answer the following questions. a. How long will it be before the clocks go off simultaneously again after 6:00 A.M.? b. Would the answer to (a) be different if clock B went off every 25 minutes and clock A went off every 60 minutes? a. The clocks will go off simultaneously again after b. Choose the correct answer below. minutes. A. No, the answer would not change because switching two of the clocks will not affect the product of all three times. O B. Yes, the answer would change because clock A does not affect the time after which the clocks will go off simultaneously. OC. No, the answer would not change because switching two of the clocks will not affect the LCM of all three times. O D. No, the answer would not change because switching two of the clocks will not affect the GCD of all three times.

In Quinn's dormitory room, there are three snooze-alarm clocks, each of which is set at a different time. Clock A goes off every 25 minutes, clock B goes off every 60 minutes, and clock C goes off every 75 minutes. If all three clocks go off at 6:00 A.M., answer the following questions. a. How long will it be before the clocks go off simultaneously again after 6:00 A.M.? b. Would the answer to (a) be different if clock B went off every 25 minutes and clock A went off every 60 minutes? a. The clocks will go off simultaneously again after b. Choose the correct answer below. minutes. A. No, the answer would not change because switching two of the clocks will not affect the product of all three times. O B. Yes, the answer would change because clock A does not affect the time after which the clocks will go off simultaneously. OC. No, the answer would not change because switching two of the clocks will not affect the LCM of all three times. O D. No, the answer would not change because switching two of the clocks will not affect the GCD of all three times.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In Quinn's dormitory room, there are three snooze-alarm clocks, each of which is set at a different time. Clock A goes off every 25 minutes, clock B goes off every 60 minutes, and clock C goes off every 75 minutes. If all three clocks go off at 6:00 A.M., answer the following questions. a. How long will it be before the clocks go off simultaneously again after 6:00 A.M.? b. Would the answer to (a) be different if clock B went off every 25 minutes and clock A went off every 60 minutes? a. The clocks will go off simultaneously again after b. Choose the correct answer below. minutes. A. No, the answer would not change because switching two of the clocks will not affect the product of all three times. B. Yes, the answer would change because clock A does not affect the time after which the clocks will go off simultaneously. C. No, the answer would not change because switching two of the clocks will not affect the LCM of all three times. D. No, the answer would not change because switching two of the clocks will not affect the GCD of all three times.
Transcribed Image Text:In Quinn's dormitory room, there are three snooze-alarm clocks, each of which is set at a different time. Clock A goes off every 25 minutes, clock B goes off every 60 minutes, and clock C goes off every 75 minutes. If all three clocks go off at 6:00 A.M., answer the following questions. a. How long will it be before the clocks go off simultaneously again after 6:00 A.M.? b. Would the answer to (a) be different if clock B went off every 25 minutes and clock A went off every 60 minutes? a. The clocks will go off simultaneously again after b. Choose the correct answer below. minutes. A. No, the answer would not change because switching two of the clocks will not affect the product of all three times. B. Yes, the answer would change because clock A does not affect the time after which the clocks will go off simultaneously. C. No, the answer would not change because switching two of the clocks will not affect the LCM of all three times. D. No, the answer would not change because switching two of the clocks will not affect the GCD of all three times.
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