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The mean weight of 120 students in the second year class of a college is 56 kg. If the mean weight of boys and that of the girls in the class are 60 kg and 50 kg respectively, then the number of boys and girls in the class are respectively:
- a)72,64
- b)38,64
- c)72,48
- d)Can’t be determined
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Let's assume the number of boys in the class is 'b' and the number of girls is 'g'.
According to the given information, the mean weight of the entire class is 56 kg.
Therefore, the total weight of all the students in the class is (120 * 56) kg = 6720 kg.
We are also given that the mean weight of boys is 60 kg. So, the total weight of all the boys in the class is (60 * b) kg.
Similarly, the total weight of all the girls in the class is (50 * g) kg.
Since the total weight of all the students is equal to the sum of the weights of boys and girls, we can write the equation as:
(60 * b) + (50 * g) = 6720
Now, we need to find the values of 'b' and 'g' that satisfy this equation.
Let's solve this equation:
60b + 50g = 6720
We can divide both sides of the equation by 10 to simplify it:
6b + 5g = 672
Now, we need to find the values of 'b' and 'g' that satisfy this simplified equation.
We can try different values of 'b' and 'g' to see which ones satisfy the equation:
If we assume b = 38 and g = 64, then:
6(38) + 5(64) = 228 + 320 = 548, which is not equal to 672.
If we assume b = 72 and g = 64, then:
6(72) + 5(64) = 432 + 320 = 752, which is not equal to 672.
If we assume b = 72 and g = 48, then:
6(72) + 5(48) = 432 + 240 = 672, which is equal to 672.
Therefore, the number of boys and girls in the class are 72 and 48, respectively.
So, the correct answer is option c) 72,48.
According to the given information, the mean weight of the entire class is 56 kg.
Therefore, the total weight of all the students in the class is (120 * 56) kg = 6720 kg.
We are also given that the mean weight of boys is 60 kg. So, the total weight of all the boys in the class is (60 * b) kg.
Similarly, the total weight of all the girls in the class is (50 * g) kg.
Since the total weight of all the students is equal to the sum of the weights of boys and girls, we can write the equation as:
(60 * b) + (50 * g) = 6720
Now, we need to find the values of 'b' and 'g' that satisfy this equation.
Let's solve this equation:
60b + 50g = 6720
We can divide both sides of the equation by 10 to simplify it:
6b + 5g = 672
Now, we need to find the values of 'b' and 'g' that satisfy this simplified equation.
We can try different values of 'b' and 'g' to see which ones satisfy the equation:
If we assume b = 38 and g = 64, then:
6(38) + 5(64) = 228 + 320 = 548, which is not equal to 672.
If we assume b = 72 and g = 64, then:
6(72) + 5(64) = 432 + 320 = 752, which is not equal to 672.
If we assume b = 72 and g = 48, then:
6(72) + 5(48) = 432 + 240 = 672, which is equal to 672.
Therefore, the number of boys and girls in the class are 72 and 48, respectively.
So, the correct answer is option c) 72,48.
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The mean weight of 120 students in the second year class of a college is 56 kg. If the mean weight of boys and that of the girls in the class are 60 kg and 50 kg respectively, then the number of boys and girls in the class are respectively:a)72,64b)38,64c)72,48d)Can’t be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer?
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The mean weight of 120 students in the second year class of a college is 56 kg. If the mean weight of boys and that of the girls in the class are 60 kg and 50 kg respectively, then the number of boys and girls in the class are respectively:a)72,64b)38,64c)72,48d)Can’t be determinede)None of theseCorrect answer is option 'C'. 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 mean weight of 120 students in the second year class of a college is 56 kg. If the mean weight of boys and that of the girls in the class are 60 kg and 50 kg respectively, then the number of boys and girls in the class are respectively:a)72,64b)38,64c)72,48d)Can’t be determinede)None of theseCorrect answer is option 'C'. 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 mean weight of 120 students in the second year class of a college is 56 kg. If the mean weight of boys and that of the girls in the class are 60 kg and 50 kg respectively, then the number of boys and girls in the class are respectively:a)72,64b)38,64c)72,48d)Can’t be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer?.
The mean weight of 120 students in the second year class of a college is 56 kg. If the mean weight of boys and that of the girls in the class are 60 kg and 50 kg respectively, then the number of boys and girls in the class are respectively:a)72,64b)38,64c)72,48d)Can’t be determinede)None of theseCorrect answer is option 'C'. 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 mean weight of 120 students in the second year class of a college is 56 kg. If the mean weight of boys and that of the girls in the class are 60 kg and 50 kg respectively, then the number of boys and girls in the class are respectively:a)72,64b)38,64c)72,48d)Can’t be determinede)None of theseCorrect answer is option 'C'. 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 mean weight of 120 students in the second year class of a college is 56 kg. If the mean weight of boys and that of the girls in the class are 60 kg and 50 kg respectively, then the number of boys and girls in the class are respectively:a)72,64b)38,64c)72,48d)Can’t be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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