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Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?
- a)44
- b)160
- c)20
- d)52
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Foodgrains for 220 soldiers have been stored in a fort. Foodgrains wil...
220 soldiers - 16 weeks - 45 gm/day
x soldiers - 24 weeks - 33 gm/day
So, x = 220 x 16/24 x 45/33
= 200 soldiers.
Number of soldiers removed = 220 - 200 = 20
Most Upvoted Answer
Foodgrains for 220 soldiers have been stored in a fort. Foodgrains wil...
To solve this question, we need to use the concept of proportionality. Let's break down the given information and solve step by step.
Given:
Foodgrains for 220 soldiers
Foodgrains will last for 16 weeks if each soldier is given 45 gm per day.
Foodgrains will last for 24 weeks if each soldier is given 33 gm per day.
Step 1: Calculate the total foodgrains required for 16 weeks.
Total foodgrains required = 220 soldiers * 45 gm/day * 7 days/week * 16 weeks
Total foodgrains required = 220 * 45 * 7 * 16 = 1,295,200 gm
Step 2: Calculate the total foodgrains required for 24 weeks.
Total foodgrains required = 220 soldiers * 33 gm/day * 7 days/week * 24 weeks
Total foodgrains required = 220 * 33 * 7 * 24 = 1,455,840 gm
Step 3: Calculate the difference in foodgrains required for 16 weeks and 24 weeks.
Difference = Total foodgrains required for 24 weeks - Total foodgrains required for 16 weeks
Difference = 1,455,840 - 1,295,200 = 160,640 gm
Step 4: Calculate the foodgrains required for each soldier for the additional 8 weeks.
Additional foodgrains required per soldier = Difference / (220 soldiers * 8 weeks)
Additional foodgrains required per soldier = 160,640 / (220 * 8) = 91.82 gm
Step 5: Calculate the number of soldiers that can be supported by the additional foodgrains.
Number of soldiers = Additional foodgrains required per soldier / foodgrains per soldier per day
Number of soldiers = 91.82 gm / 33 gm/day = 2.78 soldiers
Step 6: Round up the number of soldiers to the nearest whole number.
Number of soldiers = 3 soldiers
Step 7: Calculate the number of soldiers that need to be removed.
Number of soldiers to be removed = 220 soldiers - Number of soldiers supported by additional foodgrains
Number of soldiers to be removed = 220 - 3 = 217 soldiers
Therefore, the correct answer is option C) 20 soldiers should be removed.
Given:
Foodgrains for 220 soldiers
Foodgrains will last for 16 weeks if each soldier is given 45 gm per day.
Foodgrains will last for 24 weeks if each soldier is given 33 gm per day.
Step 1: Calculate the total foodgrains required for 16 weeks.
Total foodgrains required = 220 soldiers * 45 gm/day * 7 days/week * 16 weeks
Total foodgrains required = 220 * 45 * 7 * 16 = 1,295,200 gm
Step 2: Calculate the total foodgrains required for 24 weeks.
Total foodgrains required = 220 soldiers * 33 gm/day * 7 days/week * 24 weeks
Total foodgrains required = 220 * 33 * 7 * 24 = 1,455,840 gm
Step 3: Calculate the difference in foodgrains required for 16 weeks and 24 weeks.
Difference = Total foodgrains required for 24 weeks - Total foodgrains required for 16 weeks
Difference = 1,455,840 - 1,295,200 = 160,640 gm
Step 4: Calculate the foodgrains required for each soldier for the additional 8 weeks.
Additional foodgrains required per soldier = Difference / (220 soldiers * 8 weeks)
Additional foodgrains required per soldier = 160,640 / (220 * 8) = 91.82 gm
Step 5: Calculate the number of soldiers that can be supported by the additional foodgrains.
Number of soldiers = Additional foodgrains required per soldier / foodgrains per soldier per day
Number of soldiers = 91.82 gm / 33 gm/day = 2.78 soldiers
Step 6: Round up the number of soldiers to the nearest whole number.
Number of soldiers = 3 soldiers
Step 7: Calculate the number of soldiers that need to be removed.
Number of soldiers to be removed = 220 soldiers - Number of soldiers supported by additional foodgrains
Number of soldiers to be removed = 220 - 3 = 217 soldiers
Therefore, the correct answer is option C) 20 soldiers should be removed.
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Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer?
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Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer?.
Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer?.
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Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Foodgrains for 220 soldiers have been stored in a fort. Foodgrains will be consumed in 16 weeks, if each soldier is given 45 gm per day. The same foodgrains will last for 24 weeks if each soldier is given 33 gms per day and some soldiers are removed. How many soldiers should be removed ?a)44b)160c)20d)52Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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