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There are 10 compartments in passenger train carries on average 15 passengers per compartment. If atleast 15 passengers were sitting in each compartment, no any compartment has equal no of passengers , and any compartment does not exceed the number of average passengers except 10th compartment.Find how many passengers can be accommodated in 10 compartment ?
- a)38
- b)51
- c)47
- d)50
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
There are 10 compartments in passenger train carries on average 15 pas...
Answer – 2.51 Explanation : No of passengers = 15*10 = 150 15+14+13+12+11+10+9+8+7 = 99
150 -99 = 51
150 -99 = 51
Most Upvoted Answer
There are 10 compartments in passenger train carries on average 15 pas...
Given information:
- There are 10 compartments in a passenger train.
- On average, each compartment carries 15 passengers.
- At least 15 passengers are sitting in each compartment.
- No compartment has an equal number of passengers.
- No compartment exceeds the number of average passengers, except the 10th compartment.
To find:
The number of passengers that can be accommodated in the 10th compartment.
Solution:
Let's analyze the given information step by step.
Step 1: Calculate the total number of passengers in all compartments except the 10th compartment.
- Since each compartment carries 15 passengers on average, the total number of passengers in 9 compartments is 9 * 15 = 135.
Step 2: Determine the number of passengers in the 10th compartment.
- We know that no compartment can have an equal number of passengers and no compartment can exceed the number of average passengers, except the 10th compartment.
- Therefore, the number of passengers in the 10th compartment must be more than 15 but less than or equal to the average number of passengers.
- As we have 135 passengers already sitting in the other 9 compartments, the number of passengers in the 10th compartment can be calculated as follows: average number of passengers - total passengers in other compartments.
- Average number of passengers = total number of passengers / total number of compartments = 135 / 10 = 13.5
- Number of passengers in the 10th compartment = 13.5 - 135 = -1.5 (which is not possible)
- Therefore, the number of passengers in the 10th compartment should be rounded up to the nearest whole number, which is 14.
Step 3: Calculate the total number of passengers in all compartments.
- Total number of passengers = total passengers in other compartments + passengers in the 10th compartment = 135 + 14 = 149.
Therefore, the number of passengers that can be accommodated in the 10 compartments is 149.
- There are 10 compartments in a passenger train.
- On average, each compartment carries 15 passengers.
- At least 15 passengers are sitting in each compartment.
- No compartment has an equal number of passengers.
- No compartment exceeds the number of average passengers, except the 10th compartment.
To find:
The number of passengers that can be accommodated in the 10th compartment.
Solution:
Let's analyze the given information step by step.
Step 1: Calculate the total number of passengers in all compartments except the 10th compartment.
- Since each compartment carries 15 passengers on average, the total number of passengers in 9 compartments is 9 * 15 = 135.
Step 2: Determine the number of passengers in the 10th compartment.
- We know that no compartment can have an equal number of passengers and no compartment can exceed the number of average passengers, except the 10th compartment.
- Therefore, the number of passengers in the 10th compartment must be more than 15 but less than or equal to the average number of passengers.
- As we have 135 passengers already sitting in the other 9 compartments, the number of passengers in the 10th compartment can be calculated as follows: average number of passengers - total passengers in other compartments.
- Average number of passengers = total number of passengers / total number of compartments = 135 / 10 = 13.5
- Number of passengers in the 10th compartment = 13.5 - 135 = -1.5 (which is not possible)
- Therefore, the number of passengers in the 10th compartment should be rounded up to the nearest whole number, which is 14.
Step 3: Calculate the total number of passengers in all compartments.
- Total number of passengers = total passengers in other compartments + passengers in the 10th compartment = 135 + 14 = 149.
Therefore, the number of passengers that can be accommodated in the 10 compartments is 149.
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