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The average weight of 40 Students is 32. If the Heaviest and Lightest are excluded the average weight reduces by 1. If only the Heaviest is excluded then the average is 31. Then what is the weight of the Lightest?
- a)30
- b)31
- c)32
- d)33
- e)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The average weight of 40 Students is 32. If the Heaviest and Lightest ...
Answer – 2. 31 Explanation: 40*32 = 1280
1280-H/39 = 31
H =71
1280-71- L/38 = 31
L = 31
1280-H/39 = 31
H =71
1280-71- L/38 = 31
L = 31
Most Upvoted Answer
The average weight of 40 Students is 32. If the Heaviest and Lightest ...
Given information:
- Average weight of 40 students = 32
- Average weight decreases by 1 when the heaviest and lightest students are excluded.
- Average weight decreases by 1 when only the heaviest student is excluded.
Let's solve the problem step by step:
1. Average weight of 40 students = 32
- Total weight of the 40 students = Average weight * Number of students = 32 * 40 = 1280
2. Average weight decreases by 1 when the heaviest and lightest students are excluded.
- Let the weight of the lightest student be x and the weight of the heaviest student be y.
- Total weight after excluding the heaviest and lightest students = Average weight * (Number of students - 2) = 31 * (40 - 2) = 31 * 38 = 1178
- Total weight of the heaviest and lightest students = Total weight of all students - Total weight after excluding = 1280 - 1178 = 102
- Since the average weight decreases by 1, the weight of the heaviest and lightest students combined is 102.
3. Average weight decreases by 1 when only the heaviest student is excluded.
- Total weight after excluding the heaviest student = Average weight * (Number of students - 1) = 31 * (40 - 1) = 31 * 39 = 1209
- Total weight of the heaviest student = Total weight of all students - Total weight after excluding = 1280 - 1209 = 71
4. Finding the weight of the lightest student.
- Weight of the lightest student = Total weight of the heaviest and lightest students combined - Weight of the heaviest student = 102 - 71 = 31
Therefore, the weight of the lightest student is 31. Hence, the correct option is (B) 31.
- Average weight of 40 students = 32
- Average weight decreases by 1 when the heaviest and lightest students are excluded.
- Average weight decreases by 1 when only the heaviest student is excluded.
Let's solve the problem step by step:
1. Average weight of 40 students = 32
- Total weight of the 40 students = Average weight * Number of students = 32 * 40 = 1280
2. Average weight decreases by 1 when the heaviest and lightest students are excluded.
- Let the weight of the lightest student be x and the weight of the heaviest student be y.
- Total weight after excluding the heaviest and lightest students = Average weight * (Number of students - 2) = 31 * (40 - 2) = 31 * 38 = 1178
- Total weight of the heaviest and lightest students = Total weight of all students - Total weight after excluding = 1280 - 1178 = 102
- Since the average weight decreases by 1, the weight of the heaviest and lightest students combined is 102.
3. Average weight decreases by 1 when only the heaviest student is excluded.
- Total weight after excluding the heaviest student = Average weight * (Number of students - 1) = 31 * (40 - 1) = 31 * 39 = 1209
- Total weight of the heaviest student = Total weight of all students - Total weight after excluding = 1280 - 1209 = 71
4. Finding the weight of the lightest student.
- Weight of the lightest student = Total weight of the heaviest and lightest students combined - Weight of the heaviest student = 102 - 71 = 31
Therefore, the weight of the lightest student is 31. Hence, the correct option is (B) 31.
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The average weight of 40 Students is 32. If the Heaviest and Lightest are excluded the average weight reduces by 1. If only the Heaviest is excluded then the average is 31. Then what is the weight of the Lightest?a)30b)31c)32d)33e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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The average weight of 40 Students is 32. If the Heaviest and Lightest are excluded the average weight reduces by 1. If only the Heaviest is excluded then the average is 31. Then what is the weight of the Lightest?a)30b)31c)32d)33e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of 40 Students is 32. If the Heaviest and Lightest are excluded the average weight reduces by 1. If only the Heaviest is excluded then the average is 31. Then what is the weight of the Lightest?a)30b)31c)32d)33e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 40 Students is 32. If the Heaviest and Lightest are excluded the average weight reduces by 1. If only the Heaviest is excluded then the average is 31. Then what is the weight of the Lightest?a)30b)31c)32d)33e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
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