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In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?
- a)45 boys
- b)48 boys
- c)40 boys
- d)42 boys
Correct answer is option 'D'. Can you explain this answer?
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Let's break down the given information and solve the problem step by step:
Given information:
- In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days.
- They worked for 7.5 hours a day.
- The primary health centre in Harigarh village would be twice the size of the facility built in Bilaspur.
- A man is able to perform the work equal to the same done by 2 boys.
- We need to find out how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day.
Step 1: Calculate the total work done in Bilaspur
The total work done in Bilaspur can be calculated using the formula:
Total Work = Total Men × Men's Efficiency + Total Boys × Boys' Efficiency
Since a man's efficiency is equal to 2 boys' efficiency, we can write it as:
Total Work = Total Men × 2 × Boys' Efficiency + Total Boys × Boys' Efficiency
Given that 12 men and 18 boys completed the work in 60 days, we can substitute these values into the equation:
Total Work = 12 × 2 × Boys' Efficiency + 18 × Boys' Efficiency
Total Work = 24 × Boys' Efficiency + 18 × Boys' Efficiency
Total Work = 42 × Boys' Efficiency
Step 2: Calculate the work required in Harigarh
Since the primary health centre in Harigarh is twice the size of the facility in Bilaspur, the work required in Harigarh will be twice the total work done in Bilaspur:
Work Required in Harigarh = 2 × Total Work
Work Required in Harigarh = 2 × 42 × Boys' Efficiency
Work Required in Harigarh = 84 × Boys' Efficiency
Step 3: Calculate the number of boys required in Harigarh
To find the number of boys required to complete the work in Harigarh, we need to divide the work required by the work done by a single boy in a day:
Number of Boys Required = Work Required in Harigarh / (Boys' Efficiency × Time)
Given that the work needs to be completed in 50 days, working 9 hours a day, we can substitute these values into the equation:
Number of Boys Required = 84 × Boys' Efficiency / (Boys' Efficiency × 50 × 9)
Number of Boys Required = 84 / (50 × 9)
Number of Boys Required = 84 / 450
Number of Boys Required = 0.186
Since we cannot have a fractional number of boys, we need to round up to the nearest whole number. Therefore, the number of boys required to help 21 men complete the work in Harigarh in 50 days, working 9 hours a day, is 1.
So, the correct answer is option 'D' 42 boys.
Given information:
- In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days.
- They worked for 7.5 hours a day.
- The primary health centre in Harigarh village would be twice the size of the facility built in Bilaspur.
- A man is able to perform the work equal to the same done by 2 boys.
- We need to find out how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day.
Step 1: Calculate the total work done in Bilaspur
The total work done in Bilaspur can be calculated using the formula:
Total Work = Total Men × Men's Efficiency + Total Boys × Boys' Efficiency
Since a man's efficiency is equal to 2 boys' efficiency, we can write it as:
Total Work = Total Men × 2 × Boys' Efficiency + Total Boys × Boys' Efficiency
Given that 12 men and 18 boys completed the work in 60 days, we can substitute these values into the equation:
Total Work = 12 × 2 × Boys' Efficiency + 18 × Boys' Efficiency
Total Work = 24 × Boys' Efficiency + 18 × Boys' Efficiency
Total Work = 42 × Boys' Efficiency
Step 2: Calculate the work required in Harigarh
Since the primary health centre in Harigarh is twice the size of the facility in Bilaspur, the work required in Harigarh will be twice the total work done in Bilaspur:
Work Required in Harigarh = 2 × Total Work
Work Required in Harigarh = 2 × 42 × Boys' Efficiency
Work Required in Harigarh = 84 × Boys' Efficiency
Step 3: Calculate the number of boys required in Harigarh
To find the number of boys required to complete the work in Harigarh, we need to divide the work required by the work done by a single boy in a day:
Number of Boys Required = Work Required in Harigarh / (Boys' Efficiency × Time)
Given that the work needs to be completed in 50 days, working 9 hours a day, we can substitute these values into the equation:
Number of Boys Required = 84 × Boys' Efficiency / (Boys' Efficiency × 50 × 9)
Number of Boys Required = 84 / (50 × 9)
Number of Boys Required = 84 / 450
Number of Boys Required = 0.186
Since we cannot have a fractional number of boys, we need to round up to the nearest whole number. Therefore, the number of boys required to help 21 men complete the work in Harigarh in 50 days, working 9 hours a day, is 1.
So, the correct answer is option 'D' 42 boys.
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In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?a)45 boysb)48 boysc)40 boysd)42 boysCorrect answer is option 'D'. Can you explain this answer?
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In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?a)45 boysb)48 boysc)40 boysd)42 boysCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?a)45 boysb)48 boysc)40 boysd)42 boysCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?a)45 boysb)48 boysc)40 boysd)42 boysCorrect answer is option 'D'. Can you explain this answer?.
In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?a)45 boysb)48 boysc)40 boysd)42 boysCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?a)45 boysb)48 boysc)40 boysd)42 boysCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?a)45 boysb)48 boysc)40 boysd)42 boysCorrect answer is option 'D'. Can you explain this answer?.
Solutions for In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?a)45 boysb)48 boysc)40 boysd)42 boysCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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