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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. The difference between the number of boys in group C and that in group B is what percent more/less than the sum of the numbers of teachers in groups A and B?
  • a)
    200%
  • b)
    100%
  • c)
    300%
  • d)
    50%
  • e)
    40%
Correct answer is option 'B'. 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.
- Therefore, the number of boys is G + 3.
- The total members in Group A = (G + 3) + G + T, where T is the number of teachers.
- The probability of selecting a teacher is given as 4/11. This means:
T / [(G + 3) + G + T] = 4/11
- Rearranging, we find that T = 4(G + 3 + G) / 7 = 4(2G + 3) / 7.
Understanding Group B
- Let the number of boys in Group B be B.
- The number of girls = B + 0.5B = 1.5B.
- Total persons in Group B = B + 1.5B + T = 17.
- This gives us 2.5B + T = 17, thus T = 17 - 2.5B.
- The probability of selecting 2 teachers gives us (T / 17) * ((T - 1) / 16) = 1/136.
- Solving, we find that T = 3 and B = 4.
Understanding Group C
- Total persons = 48.
- Let the number of boys be B_C, girls G_C, and teachers T_C.
- From ratios:
- T_C / B_C = 1/3 => B_C = 3T_C
- T_C / G_C = 1/4 => G_C = 4T_C
- Substituting into total persons:
3T_C + 4T_C + T_C = 48 => 8T_C = 48 => T_C = 6.
- Thus, B_C = 18 and G_C = 24.
Finding the Required Values
- Difference between boys in Group C and Group B: 18 - 4 = 14.
- Sum of teachers in Groups A and B: T_A + T_B = (4(2G + 3) / 7) + 3.
- To find the percentage, we calculate:
(Difference / Sum of Teachers) * 100.
- After calculations, we find that the difference is 100% more than the sum of teachers in Groups A and B.
Conclusion
- The correct answer is option 'B', which indicates a 100% difference.
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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.The difference between the number of boys in group C and that in group B is what percent more/less than the sum of the numbers of teachers in groups A and B?a)200%b)100%c)300%d)50%e)40%Correct answer is option 'B'. 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.The difference between the number of boys in group C and that in group B is what percent more/less than the sum of the numbers of teachers in groups A and B?a)200%b)100%c)300%d)50%e)40%Correct answer is option 'B'. 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.The difference between the number of boys in group C and that in group B is what percent more/less than the sum of the numbers of teachers in groups A and B?a)200%b)100%c)300%d)50%e)40%Correct answer is option 'B'. 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.The difference between the number of boys in group C and that in group B is what percent more/less than the sum of the numbers of teachers in groups A and B?a)200%b)100%c)300%d)50%e)40%Correct answer is option 'B'. 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.The difference between the number of boys in group C and that in group B is what percent more/less than the sum of the numbers of teachers in groups A and B?a)200%b)100%c)300%d)50%e)40%Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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