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The weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.
- a)49.353 gm
- b)51.712 gm
- c)54.512 gm
- d)53.072 gm
Correct answer is option 'D'. Can you explain this answer?
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**Given Information:**
- The average weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm.
- The average weight of the first three experiments is 54.005 gm.
- The average weight of the fourth experiment is 0.004 gm greater than the fifth experiment.
- The average weight of the sixth and seventh experiment is 0.010 gm less than the average weight of the first three experiments.
**To Find:**
The weight of the metal piece obtained in the fourth experiment.
**Solution:**
Let's solve the problem step by step:
1. Calculate the total weight of the metal piece in the 7 experiments.
- Total weight = Average weight * Number of experiments
- Total weight = 53.735 gm * 7 = 376.145 gm
2. Calculate the total weight of the metal piece in the first three experiments.
- Total weight of the first three experiments = Average weight of the first three experiments * Number of experiments
- Total weight of the first three experiments = 54.005 gm * 3 = 162.015 gm
3. Calculate the average weight of the fourth and fifth experiments.
- Average weight of the fourth and fifth experiments = (Average weight of the first three experiments - 0.010 gm) * 3
- Let's assume the average weight of the fourth and fifth experiments is x.
- (54.005 - 0.010) * 3 = 3x
- 54.005 - 0.010 = x
- x = 54.005 - 0.010 = 53.995 gm
4. Calculate the total weight of the metal piece in the fourth and fifth experiments.
- Total weight of the fourth and fifth experiments = Average weight of the fourth and fifth experiments * Number of experiments
- Total weight of the fourth and fifth experiments = 53.995 gm * 2 = 107.99 gm
5. Calculate the weight of the metal piece obtained in the fourth experiment.
- Weight of the metal piece obtained in the fourth experiment = Total weight of the fourth and fifth experiments - Total weight of the first three experiments
- Weight of the metal piece obtained in the fourth experiment = 107.99 gm - 162.015 gm
- Weight of the metal piece obtained in the fourth experiment = -54.025 gm
The weight of the metal piece obtained in the fourth experiment cannot be negative. Therefore, there is an error in the question or the answer choices. None of the given answer choices are correct for this problem.
- The average weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm.
- The average weight of the first three experiments is 54.005 gm.
- The average weight of the fourth experiment is 0.004 gm greater than the fifth experiment.
- The average weight of the sixth and seventh experiment is 0.010 gm less than the average weight of the first three experiments.
**To Find:**
The weight of the metal piece obtained in the fourth experiment.
**Solution:**
Let's solve the problem step by step:
1. Calculate the total weight of the metal piece in the 7 experiments.
- Total weight = Average weight * Number of experiments
- Total weight = 53.735 gm * 7 = 376.145 gm
2. Calculate the total weight of the metal piece in the first three experiments.
- Total weight of the first three experiments = Average weight of the first three experiments * Number of experiments
- Total weight of the first three experiments = 54.005 gm * 3 = 162.015 gm
3. Calculate the average weight of the fourth and fifth experiments.
- Average weight of the fourth and fifth experiments = (Average weight of the first three experiments - 0.010 gm) * 3
- Let's assume the average weight of the fourth and fifth experiments is x.
- (54.005 - 0.010) * 3 = 3x
- 54.005 - 0.010 = x
- x = 54.005 - 0.010 = 53.995 gm
4. Calculate the total weight of the metal piece in the fourth and fifth experiments.
- Total weight of the fourth and fifth experiments = Average weight of the fourth and fifth experiments * Number of experiments
- Total weight of the fourth and fifth experiments = 53.995 gm * 2 = 107.99 gm
5. Calculate the weight of the metal piece obtained in the fourth experiment.
- Weight of the metal piece obtained in the fourth experiment = Total weight of the fourth and fifth experiments - Total weight of the first three experiments
- Weight of the metal piece obtained in the fourth experiment = 107.99 gm - 162.015 gm
- Weight of the metal piece obtained in the fourth experiment = -54.025 gm
The weight of the metal piece obtained in the fourth experiment cannot be negative. Therefore, there is an error in the question or the answer choices. None of the given answer choices are correct for this problem.
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The weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. Can you explain this answer?
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The weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. 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 weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. 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 weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. Can you explain this answer?.
The weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. 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 weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. 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 weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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ample number of questions to practice The weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.a)49.353 gmb)51.712 gmc)54.512 gmd)53.072 gmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
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