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Directions: Study the given information carefully and answer the following question.
3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.
In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.
In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.
In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.
Q. x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?
- a)1
- b)2
- c)3
- d)4
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Directions: Study the given information carefully and answer the follo...
Understanding Group A
- Let the number of girls in Group A be \( g \).
- Then, the number of boys is \( g + 3 \).
- The total number of members in Group A is \( (g + 3) + g + t = 2g + 3 + t \), where \( t \) is the number of teachers.
- The probability of selecting a teacher is given as \( \frac{t}{2g + 3 + t} = \frac{4}{11} \).
Setting up the equation
- Cross-multiplying gives us \( 11t = 4(2g + 3 + t) \).
- Rearranging yields \( 11t = 8g + 12 + 4t \), leading to \( 7t = 8g + 12 \).
Understanding Group B
- Let the number of boys in Group B be \( b \).
- Then, the number of girls is \( 1.5b \).
- Total members in Group B = \( b + 1.5b + T = 17 \) where \( T \) is the number of teachers.
- So, \( 2.5b + T = 17 \).
- The probability for selecting both teachers from Group B is \( \frac{T(T-1)}{17 \cdot 16} = \frac{1}{136} \).
Solving for Teachers in Group B
- This simplifies to \( T(T-1) = \frac{17 \cdot 16}{136} = 2 \).
- Hence, \( T = 2 \) (since \( T(T-1) = 2 \) gives integers).
- Thus, \( 2.5b + 2 = 17 \) leads to \( 2.5b = 15 \), giving \( b = 6 \).
- Therefore, the number of girls = \( 9 \) and teachers = \( 2 \).
Understanding Group C
- Total persons = 48.
- Let teachers = \( t_C \), boys = \( 3t_C \), girls = \( 4t_C \).
- So, \( 3t_C + 4t_C + t_C = 48 \) implies \( 8t_C = 48 \) leading to \( t_C = 6 \).
Group B Adjustments and Finding x
- \( x \) boys move to Group A, and \( \frac{1}{2} \times 2 = 1 \) teacher moves to Group B.
- New teachers in Group B = \( 2 + 1 = 3 \) and boys = \( 6 - x \).
- Total members in Group B = \( (6 - x) + 9 + 3 = 18 - x \).
- Probability of selecting a teacher = \( \frac{3}{18 - x} = \frac{1}{4} \).
Final Equation
- \( 3 \cdot 4 = 18 - x \) leads to \( 12 = 18 - x \), hence \( x = 6 \).
- Given that the answer is \(
- Let the number of girls in Group A be \( g \).
- Then, the number of boys is \( g + 3 \).
- The total number of members in Group A is \( (g + 3) + g + t = 2g + 3 + t \), where \( t \) is the number of teachers.
- The probability of selecting a teacher is given as \( \frac{t}{2g + 3 + t} = \frac{4}{11} \).
Setting up the equation
- Cross-multiplying gives us \( 11t = 4(2g + 3 + t) \).
- Rearranging yields \( 11t = 8g + 12 + 4t \), leading to \( 7t = 8g + 12 \).
Understanding Group B
- Let the number of boys in Group B be \( b \).
- Then, the number of girls is \( 1.5b \).
- Total members in Group B = \( b + 1.5b + T = 17 \) where \( T \) is the number of teachers.
- So, \( 2.5b + T = 17 \).
- The probability for selecting both teachers from Group B is \( \frac{T(T-1)}{17 \cdot 16} = \frac{1}{136} \).
Solving for Teachers in Group B
- This simplifies to \( T(T-1) = \frac{17 \cdot 16}{136} = 2 \).
- Hence, \( T = 2 \) (since \( T(T-1) = 2 \) gives integers).
- Thus, \( 2.5b + 2 = 17 \) leads to \( 2.5b = 15 \), giving \( b = 6 \).
- Therefore, the number of girls = \( 9 \) and teachers = \( 2 \).
Understanding Group C
- Total persons = 48.
- Let teachers = \( t_C \), boys = \( 3t_C \), girls = \( 4t_C \).
- So, \( 3t_C + 4t_C + t_C = 48 \) implies \( 8t_C = 48 \) leading to \( t_C = 6 \).
Group B Adjustments and Finding x
- \( x \) boys move to Group A, and \( \frac{1}{2} \times 2 = 1 \) teacher moves to Group B.
- New teachers in Group B = \( 2 + 1 = 3 \) and boys = \( 6 - x \).
- Total members in Group B = \( (6 - x) + 9 + 3 = 18 - x \).
- Probability of selecting a teacher = \( \frac{3}{18 - x} = \frac{1}{4} \).
Final Equation
- \( 3 \cdot 4 = 18 - x \) leads to \( 12 = 18 - x \), hence \( x = 6 \).
- Given that the answer is \(
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Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Study the given information carefully and answer the following question.3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers.In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11.In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17.In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48.Q.x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?a)1b)2c)3d)4e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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