There are 10 compartments in a passenger train, and each one holds around 15 people. If at least 15 passengers were seated in each compartment, none would have an equal number of passengers, and none would have more than the typical number of passengers, with the exception of the compartment. determine how many passengers the vehicle can hold. compartment.

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answer is B.

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Detailed Solution

Concept- The most people allowed in each cabin, with the exception of the

There will be 15 compartments. We'll assume that there are 15 people in the first compartment, and since no two compartments have exactly the same number of passengers, we'll reduce the number of passengers by 1 in each succeeding compartment until there are 15, leaving 10 compartments. By deducting the total number of passengers, or 150, from the number of passengers in all 14 compartments, we may determine how many people are in the tenth compartment.
There are 10 compartments on passenger trains, and each compartment typically holds 15 passengers, according to the information provided in the question. If at least 15 passengers were seated in each compartment, none of the compartments would have an equal number of passengers, and none would have more passengers than the average compartment, with the exception of the

compartment and we have been asked to find how many passengers can be accommodated in

compartment.
The usual number of passengers is 15, and we are aware that there are 10 cabins. The total number of passengers may thus be expressed as.

The passengers can be grouped as follows because we know that no two compartments can have the same number of people:
15+14+13+12+11+10+9+8+7
And its sum is 99
We know that there a total of 150 passengers, so the number of passengers in the

compartment will be,
(Total number of passengers) - (99)

Thus, there will be 51 passengers in the

compartment of the passenger train.
Hence, the correct answer is option 2.

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