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Read the passage below and solve the questions based on it.
In a class, every student plays exactly one of the following games—squash, table tennis, hockey, handball, cricket. Exactly 1/ 12th of the girls and i/8th of the boys play- squash. 1715th of the girls and l/6th of the boys play hockey, l/4th of the girls and 1/12th of the boys play handball. I/5th of the girls and 3/8th of the boys plays table tennis and the remaining boys and girls play cricket. The total strength of the class is less than 120
In a class, every student plays exactly one of the following games—squash, table tennis, hockey, handball, cricket. Exactly 1/ 12th of the girls and i/8th of the boys play- squash. 1715th of the girls and l/6th of the boys play hockey, l/4th of the girls and 1/12th of the boys play handball. I/5th of the girls and 3/8th of the boys plays table tennis and the remaining boys and girls play cricket. The total strength of the class is less than 120
Q.
What is the total strength of the class?
- a)84
- b)108
- c)132
- d)Either (1) or (2)
Correct answer is option 'D'. Can you explain this answer?
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Read the passage below and solve the questions based on it.In a class,...
Whatever is the total number of boys, it should be di\ isibie by 8. 6. 12 and lotai number of girEs should be divisible by 12, 15 and 4, Now use options.
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Read the passage below and solve the questions based on it.In a class,...
Total Strength of the Class: Solution
To determine the total strength of the class, we need to analyze the given information and calculate the number of students playing each game. Let's break down the information step by step:
1. Girls playing squash: 1/12th of the total girls
2. Boys playing squash: 1/8th of the total boys
3. Girls playing hockey: 17/15th of the total girls
4. Boys playing hockey: 1/6th of the total boys
5. Girls playing handball: 1/4th of the total girls
6. Boys playing handball: 1/12th of the total boys
7. Girls playing table tennis: 1/5th of the total girls
8. Boys playing table tennis: 3/8th of the total boys
9. Remaining boys and girls play cricket.
Now, let's assign variables to the total number of girls and boys in the class. Let G represent the total number of girls and B represent the total number of boys.
1. Girls playing squash: (1/12)G
2. Boys playing squash: (1/8)B
3. Girls playing hockey: (17/15)G
4. Boys playing hockey: (1/6)B
5. Girls playing handball: (1/4)G
6. Boys playing handball: (1/12)B
7. Girls playing table tennis: (1/5)G
8. Boys playing table tennis: (3/8)B
9. Remaining boys and girls play cricket: G - [(1/12)G + (17/15)G + (1/4)G + (1/5)G] + B - [(1/8)B + (1/6)B + (1/12)B + (3/8)B]
Simplifying the expression:
9. Remaining boys and girls play cricket: (1 - (1/12 + 17/15 + 1/4 + 1/5))G + (1 - (1/8 + 1/6 + 1/12 + 3/8))B
Now, we know that the total strength of the class is less than 120. Therefore,
G + B < />
Substituting the expressions for remaining boys and girls playing cricket:
(1 - (1/12 + 17/15 + 1/4 + 1/5))G + (1 - (1/8 + 1/6 + 1/12 + 3/8))B < />
Simplifying further:
(1 - (5/60 + 68/60 + 15/60 + 12/60))G + (1 - (15/120 + 20/120 + 10/120 + 45/120))B < />
(1 - (100/60))G + (1 - (90/120))B < />
(1 - (5/3))G + (1 - (3/4))B < />
(3 - 5/3)G + (4 - 3/4)B < />
(4/3)G + (13/4)B < />
Now
To determine the total strength of the class, we need to analyze the given information and calculate the number of students playing each game. Let's break down the information step by step:
1. Girls playing squash: 1/12th of the total girls
2. Boys playing squash: 1/8th of the total boys
3. Girls playing hockey: 17/15th of the total girls
4. Boys playing hockey: 1/6th of the total boys
5. Girls playing handball: 1/4th of the total girls
6. Boys playing handball: 1/12th of the total boys
7. Girls playing table tennis: 1/5th of the total girls
8. Boys playing table tennis: 3/8th of the total boys
9. Remaining boys and girls play cricket.
Now, let's assign variables to the total number of girls and boys in the class. Let G represent the total number of girls and B represent the total number of boys.
1. Girls playing squash: (1/12)G
2. Boys playing squash: (1/8)B
3. Girls playing hockey: (17/15)G
4. Boys playing hockey: (1/6)B
5. Girls playing handball: (1/4)G
6. Boys playing handball: (1/12)B
7. Girls playing table tennis: (1/5)G
8. Boys playing table tennis: (3/8)B
9. Remaining boys and girls play cricket: G - [(1/12)G + (17/15)G + (1/4)G + (1/5)G] + B - [(1/8)B + (1/6)B + (1/12)B + (3/8)B]
Simplifying the expression:
9. Remaining boys and girls play cricket: (1 - (1/12 + 17/15 + 1/4 + 1/5))G + (1 - (1/8 + 1/6 + 1/12 + 3/8))B
Now, we know that the total strength of the class is less than 120. Therefore,
G + B < />
Substituting the expressions for remaining boys and girls playing cricket:
(1 - (1/12 + 17/15 + 1/4 + 1/5))G + (1 - (1/8 + 1/6 + 1/12 + 3/8))B < />
Simplifying further:
(1 - (5/60 + 68/60 + 15/60 + 12/60))G + (1 - (15/120 + 20/120 + 10/120 + 45/120))B < />
(1 - (100/60))G + (1 - (90/120))B < />
(1 - (5/3))G + (1 - (3/4))B < />
(3 - 5/3)G + (4 - 3/4)B < />
(4/3)G + (13/4)B < />
Now
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Read the passage below and solve the questions based on it.In a class, every student plays exactly one of the following games—squash, table tennis, hockey, handball, cricket. Exactly 1/ 12th of the girls and i/8th of the boys play- squash. 1715th of the girls and l/6th of the boys play hockey, l/4th of the girls and 1/12th of the boys play handball. I/5th of the girls and 3/8th of the boys plays table tennis and the remaining boys and girls play cricket. The total strength of the class is less than 120Q.What is the total strength of the class?a)84b)108c)132d)Either (1) or (2)Correct answer is option 'D'. Can you explain this answer?
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Read the passage below and solve the questions based on it.In a class, every student plays exactly one of the following games—squash, table tennis, hockey, handball, cricket. Exactly 1/ 12th of the girls and i/8th of the boys play- squash. 1715th of the girls and l/6th of the boys play hockey, l/4th of the girls and 1/12th of the boys play handball. I/5th of the girls and 3/8th of the boys plays table tennis and the remaining boys and girls play cricket. The total strength of the class is less than 120Q.What is the total strength of the class?a)84b)108c)132d)Either (1) or (2)Correct 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 Read the passage below and solve the questions based on it.In a class, every student plays exactly one of the following games—squash, table tennis, hockey, handball, cricket. Exactly 1/ 12th of the girls and i/8th of the boys play- squash. 1715th of the girls and l/6th of the boys play hockey, l/4th of the girls and 1/12th of the boys play handball. I/5th of the girls and 3/8th of the boys plays table tennis and the remaining boys and girls play cricket. The total strength of the class is less than 120Q.What is the total strength of the class?a)84b)108c)132d)Either (1) or (2)Correct 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 Read the passage below and solve the questions based on it.In a class, every student plays exactly one of the following games—squash, table tennis, hockey, handball, cricket. Exactly 1/ 12th of the girls and i/8th of the boys play- squash. 1715th of the girls and l/6th of the boys play hockey, l/4th of the girls and 1/12th of the boys play handball. I/5th of the girls and 3/8th of the boys plays table tennis and the remaining boys and girls play cricket. The total strength of the class is less than 120Q.What is the total strength of the class?a)84b)108c)132d)Either (1) or (2)Correct answer is option 'D'. Can you explain this answer?.
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