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Group Question
Answer the following question based on the information given below.
The average yearly incomes of families in five cities-Surat, Mumbai, Ludhiana, Nagpur and Bhopal are Rs. 4.5 lakhs, Rs. 5.5 lakhs, Rs. 3 lakhs, Rs. 4 lakhs and Rs. 2 lakhs respectively.
The following table lists the yearly incomes of 25 families:
Each family from the list belongs to one of the given five cities and exactly five families from the table belong to each city. No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.
The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.
 
Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equal to the average income of the city?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
The total income of the five families belonging to each city is as follows: Surat: 22.5 lakhs; Mumbai: 27.5 lakhs; Ludhiana: 15 lakhs; Nagpur: 20 lakhs; Bhopal: 10 lakhs Arranging the families in ascending order of their incomes we have,
Now, consider Bhopal.
V and Y belong to Bhopal. The total income of the other three families that belong to Bhopal is: 10 - 1 - 3 = 6 lakhs.
These three families can have incomes out of 1.75, 2, 2.25, 2.5 and 2.75.
Out of this only one combination i.e. 2.25 + 1.75 + 2 = 6 is possible.
Thus, R, O/U and W/X belong to Bhopal.
Consider Ludhiana.
E and G belong to Ludhiana. The total income of the other three families that belong to Ludhiana is: 1 5 - 4 . 5 - 1 . 5 = 9 lakhs.
These three families can have incomes out of 1.75, 2, 2.5, 2.75, 3 and 3.25.
Out of this only one combination i.e. 3.25 + 3 + 2.75 = 9 is possible.
Thus K, H/l and J belong to Ludhiana.
Consider Mumbai.
S and D belong to Mumbai. The total income of the other three families that belong to Mumbai is: 27.5 - 12 - 1 = 14.5 lakhs.
These three families can have incomes out of 1.75, 2, 2.5, 3, 5, 6, 7 and 7.25.
Out of this only one combination i.e. 7 + 5 + 2.5 = 14.5 is possible.
Thus, B, P and L/Q belong to Mumbai.
Consider Nagpur.
M and F belong to Nagpur. The total income of the other three families that belong to Nagpur is: 20 - 0.5 - 8 = 11.5 lakhs.
These three families can have incomes out of 1.75, 2, 2.5, 3, 6 and 7.25.
Out of these, two combinations are possible.
7.25 + 1.75 + 2.5 = 11.5 and 6 + 3 + 2.5 = 11.5
Thus, L/Q definitely belongs to Nagpur. One of the following pairs of families belongs to Nagpur: (A and H/l) or (N and O/U)
Consider Surat.
T and C belong to Surat. The total income of the other three families that belong to Surat is: 22.5 - 1 . 5 - 1 0 = 11 lakhs.
Here also, two combinations are possible. 6 + 3 + 2 = 11 and 1.75 + 7.25 + 2 = 11 Thus, W/X definitely belongs to Surat. One of the following pairs of families belongs to Surat: (A and H/l) or (N and O/U).
So, the final table we get is as follows:

Bhopal and Ludhiana are the only two cities that satisfy the given criteria.
Hence, option 2.
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Group QuestionAnswer the following question based on the information given below.The average yearly incomes of families in five cities-Surat, Mumbai, Ludhiana, Nagpur and Bhopal are Rs. 4.5 lakhs, Rs. 5.5 lakhs, Rs. 3 lakhs, Rs. 4 lakhs and Rs. 2 lakhs respectively.The following table lists the yearly incomes of 25 families:Each family from the list belongs to one of the given five cities and exactly five families from the table belong to each city. No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equalto the average income of the city?a)1b)2c)3d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.The average yearly incomes of families in five cities-Surat, Mumbai, Ludhiana, Nagpur and Bhopal are Rs. 4.5 lakhs, Rs. 5.5 lakhs, Rs. 3 lakhs, Rs. 4 lakhs and Rs. 2 lakhs respectively.The following table lists the yearly incomes of 25 families:Each family from the list belongs to one of the given five cities and exactly five families from the table belong to each city. No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equalto the average income of the city?a)1b)2c)3d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.The average yearly incomes of families in five cities-Surat, Mumbai, Ludhiana, Nagpur and Bhopal are Rs. 4.5 lakhs, Rs. 5.5 lakhs, Rs. 3 lakhs, Rs. 4 lakhs and Rs. 2 lakhs respectively.The following table lists the yearly incomes of 25 families:Each family from the list belongs to one of the given five cities and exactly five families from the table belong to each city. No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equalto the average income of the city?a)1b)2c)3d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.The average yearly incomes of families in five cities-Surat, Mumbai, Ludhiana, Nagpur and Bhopal are Rs. 4.5 lakhs, Rs. 5.5 lakhs, Rs. 3 lakhs, Rs. 4 lakhs and Rs. 2 lakhs respectively.The following table lists the yearly incomes of 25 families:Each family from the list belongs to one of the given five cities and exactly five families from the table belong to each city. No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equalto the average income of the city?a)1b)2c)3d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.The average yearly incomes of families in five cities-Surat, Mumbai, Ludhiana, Nagpur and Bhopal are Rs. 4.5 lakhs, Rs. 5.5 lakhs, Rs. 3 lakhs, Rs. 4 lakhs and Rs. 2 lakhs respectively.The following table lists the yearly incomes of 25 families:Each family from the list belongs to one of the given five cities and exactly five families from the table belong to each city. No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equalto the average income of the city?a)1b)2c)3d)Cannot be determinedCorrect 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.
Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.The average yearly incomes of families in five cities-Surat, Mumbai, Ludhiana, Nagpur and Bhopal are Rs. 4.5 lakhs, Rs. 5.5 lakhs, Rs. 3 lakhs, Rs. 4 lakhs and Rs. 2 lakhs respectively.The following table lists the yearly incomes of 25 families:Each family from the list belongs to one of the given five cities and exactly five families from the table belong to each city. No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. 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No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equalto the average income of the city?a)1b)2c)3d)Cannot be determinedCorrect answer is option 'B'. 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No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equalto the average income of the city?a)1b)2c)3d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Group QuestionAnswer the following question based on the information given below.The average yearly incomes of families in five cities-Surat, Mumbai, Ludhiana, Nagpur and Bhopal are Rs. 4.5 lakhs, Rs. 5.5 lakhs, Rs. 3 lakhs, Rs. 4 lakhs and Rs. 2 lakhs respectively.The following table lists the yearly incomes of 25 families:Each family from the list belongs to one of the given five cities and exactly five families from the table belong to each city. No two families belonging to the same city have equal incomes and the average income of the five families belonging to a city is equal to the average yearly income of families in the city.The families from the table earning the highest and lowest yearly incomes in every city are as follows: Surat: C and T; Mumbai: D and S; Ludhiana: G and E; Nagpur: M and F; Bhopal: Y and V.Q. How many cities are such that one family belonging to them, out of the ones given, has an income which is equalto the average income of the city?a)1b)2c)3d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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