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The payload rating (PR) of a truck is the truck's recommended load

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The payload rating (PR) of a truck is the truck's recommended load  [#permalink]

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New post 27 Dec 2019, 19:25
1
The payload rating (PR) of a truck is the truck's recommended load weight, which is specified as a number of tonnes (t), where 1 tonne = 1,000 kilograms. A certain truck's PR is a whole number of tonnes. The truck has hauled exactly 7 loads, exactly 3 of which had a greater weight than the truck's PR. The weights of these 7 loads, in tonnes, are as follows:

50, 51, 52, 52, 54, 54, 56.

Select the Least and Greatest possible values for the truck's PR, in tonnes. Make only two selections, one in each column.

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Spoiler: :: OA
A (Least) = 52, B (Max) = 53
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Re: The payload rating (PR) of a truck is the truck's recommended load  [#permalink]

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New post 27 Dec 2019, 19:35
Bunuel & Others:

Would love your thoughts on this one. The Min response as per OG is 52. This response seems a bit strange, as there is nothing in the Q Stem to suggest that when the truck is carrying 52T, it is fully loaded. In fact, in choosing 53T as the Max value (and not 52), the OG Implies that the truck could very much be plying at below full capacity. So based on the same logic, I would have thought the minimum value would be 49. What am I missing?
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New post 27 Dec 2019, 21:37
TargetMBA007 wrote:
Bunuel & Others:

Would love your thoughts on this one. The Min response as per OG is 52. This response seems a bit strange, as there is nothing in the Q Stem to suggest that when the truck is carrying 52T, it is fully loaded. In fact, in choosing 53T as the Max value (and not 52), the OG Implies that the truck could very much be plying at below full capacity. So based on the same logic, I would have thought the minimum value would be 49. What am I missing?


A recommended load (PR here) is a load upto that the truck can carry the load safely. However, its not like that the truck can't carry more than that. It can carry more than the PR but that would be unsafe.

So, 53 is the maximum value possible for PR beyond which three loads two of 54 and one of 56 was hauled by truck. In that case truck carried four lesser weights. I hope ill this point things are clear as the conditions(exactly three more than the PR) laid in the Question stem is satisfied.

Lowest PR value possible is 52. Here the truck carried exactly two loads weighted exactly to PR and three more than that. Thus lesser weights carried are less compared to the earlier case. Again the condition is satisfied.

Initially, it seemed bit ambiguous though.

Hope this is clear.
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New post 28 Dec 2019, 21:28
52 min
53 max

Posted from my mobile device
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Re: The payload rating (PR) of a truck is the truck's recommended load  [#permalink]

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New post 18 Feb 2020, 09:52
lnm87 wrote:
TargetMBA007 wrote:
Bunuel & Others:

Would love your thoughts on this one. The Min response as per OG is 52. This response seems a bit strange, as there is nothing in the Q Stem to suggest that when the truck is carrying 52T, it is fully loaded. In fact, in choosing 53T as the Max value (and not 52), the OG Implies that the truck could very much be plying at below full capacity. So based on the same logic, I would have thought the minimum value would be 49. What am I missing?


A recommended load (PR here) is a load upto that the truck can carry the load safely. However, its not like that the truck can't carry more than that. It can carry more than the PR but that would be unsafe.

So, 53 is the maximum value possible for PR beyond which three loads two of 54 and one of 56 was hauled by truck. In that case truck carried four lesser weights. I hope ill this point things are clear as the conditions(exactly three more than the PR) laid in the Question stem is satisfied.

Lowest PR value possible is 52. Here the truck carried exactly two loads weighted exactly to PR and three more than that. Thus lesser weights carried are less compared to the earlier case. Again the condition is satisfied.

Initially, it seemed bit ambiguous though.

Hope this is clear.

Can u explain this?
why can we take pr as 54 and other three weights be 56 each
also
for min why it cant be :
49 as then 3 can be 50 and all others can be 49
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Re: The payload rating (PR) of a truck is the truck's recommended load  [#permalink]

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New post 18 Feb 2020, 10:27
1
vanam52923 wrote:
lnm87 wrote:
TargetMBA007 wrote:
Bunuel & Others:

Would love your thoughts on this one. The Min response as per OG is 52. This response seems a bit strange, as there is nothing in the Q Stem to suggest that when the truck is carrying 52T, it is fully loaded. In fact, in choosing 53T as the Max value (and not 52), the OG Implies that the truck could very much be plying at below full capacity. So based on the same logic, I would have thought the minimum value would be 49. What am I missing?


A recommended load (PR here) is a load upto that the truck can carry the load safely. However, its not like that the truck can't carry more than that. It can carry more than the PR but that would be unsafe.

So, 53 is the maximum value possible for PR beyond which three loads two of 54 and one of 56 was hauled by truck. In that case truck carried four lesser weights. I hope ill this point things are clear as the conditions(exactly three more than the PR) laid in the Question stem is satisfied.

Lowest PR value possible is 52. Here the truck carried exactly two loads weighted exactly to PR and three more than that. Thus lesser weights carried are less compared to the earlier case. Again the condition is satisfied.

Initially, it seemed bit ambiguous though.

Hope this is clear.

Can u explain this?
why can we take pr as 54 and other three weights be 56 each
also
for min why it cant be :
49 as then 3 can be 50 and all others can be 49

If you read the question carefully you will see that exactly three weights must be more than PR so 53 is max. 54 would go against the question requirements.
For min PR see that the requirements would again be unfulfilled.
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The payload rating (PR) of a truck is the truck's recommended load  [#permalink]

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New post 18 Feb 2020, 23:11
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if we take 53 max as PR then three loads greater than 53 are 54,54,56
if we take 52 min as PR then three loads greater than 52 are 54,54,56 in this case too.
if we take 49 min as PR then loads greater than 49 are 50, 51, 52, 52, 54, 54, 56. ( 07 nos) which conflict the given condition: The truck has hauled exactly 7 loads, exactly 3 of which had a greater weight than the truck's PR.


i hope this makes clear.
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The payload rating (PR) of a truck is the truck's recommended load   [#permalink] 18 Feb 2020, 23:11
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