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08 Dec 2020, 05:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
35% (02:44) correct
65%
(02:46)
wrong
based on 89
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A transport agency has 5 carriers, each of capacity 15 tonnes. The carriers are scheduled such that the first carrier makes a trip every day, the second carrier makes a trip every second. The third makes a trip every third day and so on. Find the maximum number of times in a year that it is possible to dispatch a total shipment of 75 tonnes in a single day. The operation starts on the 7th January 2010 and continue till the end of the year (31st December 2010) without any holiday.
A. 8
B. 7
C. 6
D. 5
E. 4
A. 8
B. 7
C. 6
D. 5
E. 4
08 Dec 2020, 06:43
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Each truck of the 5 trucks has a capacity of 15 tonnes and we need to ship 75 tonnes.
Truck 1 has a frequency of 1 trip per day , truck 2 every 2nd day, truck 3 every 3rd day, truck 4 every 4th day, and truck 5 every 5th day.
We need all the trucks to run at the same day so that we can ship 15*5 tonnes making 75 tonnes.
So lets calculate the LCM for 1,2,3,4,5 which is 60. Every 60 days all the trucks will carry load and the total shipment carried that day will be 75 tonnes.
In a year there are 365 days and since we start at Jan 7 we are looking at less than 360 days.
Total trips is less than 360/60 which is less than 6 which makes the maximum number as 5.
Ans D
Posted from my mobile device
Truck 1 has a frequency of 1 trip per day , truck 2 every 2nd day, truck 3 every 3rd day, truck 4 every 4th day, and truck 5 every 5th day.
We need all the trucks to run at the same day so that we can ship 15*5 tonnes making 75 tonnes.
So lets calculate the LCM for 1,2,3,4,5 which is 60. Every 60 days all the trucks will carry load and the total shipment carried that day will be 75 tonnes.
In a year there are 365 days and since we start at Jan 7 we are looking at less than 360 days.
Total trips is less than 360/60 which is less than 6 which makes the maximum number as 5.
Ans D
Posted from my mobile device
15 Dec 2020, 07:03
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Bunuel, chetansharma, yashikaaggarwal, could either of you post the OE to this question or better still could you post your approach on how to tackle these kinds of questions ?
