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Group Question
Answer the following question based on the information given below.
A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.
Q. How many students like neither subject but like both the colours?
- a)20
- b)15
- c)5
- d)10
- e)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Since there are four possibilities for colour (only black, only white, both or none) and four possibilities for subject (only English, only Maths, both or none), construct a 4 * 4 matrix as shown below.
Now, consider each statement. 1) All the students, who do not like any of the two colours, like Maths i.e. x = n + o; m = 0 and p = 0
2) None of the students who like only Maths, like both the colours i.e. j = 0.
2) None of the students who like only Maths, like both the colours i.e. j = 0.
3) The total number of students who like both Maths and English is the same as the total number of students who like both white and black i.e. s = w .
4) Of the students who like only English, 50% like both white and black i.e. l= 0.5g 5) All the students who do not like any of the two subjects like black i.e. d + l = t , h = 0 and p = 0
6) The total number of students who like white is the same as those who like English, and that count is 55. i.e. v + w = q + s = 55. Since s = w; v + w = q + w i.e. v = q.
6) The total number of students who like white is the same as those who like English, and that count is 55. i.e. v + w = q + s = 55. Since s = w; v + w = q + w i.e. v = q.
7) Of the students who like both the subjects, those who like both colours is the same as those who like neither colour i.e. k = 0. 8) 10 students like only Maths and only White i.e. f = 10 and 10 students like neither colour i.e. x = 10. 9) Of the 25 students in all, who like both colours, 5 like neither subject i.e. w = 25 and l = 5
10) Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects i.e. a = b and c = 0 Hence, the table becomes:
10) Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects i.e. a = b and c = 0 Hence, the table becomes:
Now, w + q = 55 i.e. 25 + q = 55 i.e. q = 30 i i = 0.5q i.e. l= 15.
Now, u + q + 25 + 10 = 100 Since q = 30, u = 100 - (30 + 25 + 10) i.e. u = 35 At this stage, the table becomes:
The equations formed from the remaining rows and columns are: 2a + d = 35; a + e = 15; e + g = 20; a + n + 10 = r, g + 20 = 25; o + 20 = 25; d + 5 = t and n + o = 10 From the above equations, it is directly found that o = 5. g = 25 - 2(5) i.e. g = 15 and n = 10-5 i.e. n = 5.
Using g, e = 20 - 15 i.e. e = 5,
Using e, a = 15 - 5 i.e. a = 10
Using a, d = 35 - 2(10) i.e. d = 15 and r = 10 + 5 + 10 i.e. r = 25 Using d , t = 15 + 5 i.e. t = 20 Now, the entire table is filled as shown below: 
Thus, number of students who like neither subject but like both colours is 5. Hence, option 3.
Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
Understanding the given information:
- Students who do not like any of the two colors like Maths.
- None of the students who like only Maths, like both colors.
- Total number of students who like both Maths and English is the same as the total number of students who like both white and black.
- Of the students who like only English, 50% like both white and black.
- All students who do not like any of the two subjects like black.
- The total number of students who like white is the same as those who like English, and that count is 55.
- Of the students who like both the subjects, those who like both colors is the same as those who like neither color.
- 10 students like only Maths and only White.
- 10 students like neither color.
- Of the 25 students who like both colors, 5 like neither subject.
- Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.
Finding how many students like neither subject but like both the colors:
Given that 10 students like neither color and 5 of the 25 students who like both colors also like neither subject, we can deduce that the remaining 15 students who like both colors must like both subjects.
Since the total number of students who like both white and black is the same as those who like both Maths and English, and we already know that 15 students like both colors, we can conclude that only 5 students like both colors but neither subject.
Therefore, the number of students who like neither subject but like both colors is 5.
- Students who do not like any of the two colors like Maths.
- None of the students who like only Maths, like both colors.
- Total number of students who like both Maths and English is the same as the total number of students who like both white and black.
- Of the students who like only English, 50% like both white and black.
- All students who do not like any of the two subjects like black.
- The total number of students who like white is the same as those who like English, and that count is 55.
- Of the students who like both the subjects, those who like both colors is the same as those who like neither color.
- 10 students like only Maths and only White.
- 10 students like neither color.
- Of the 25 students who like both colors, 5 like neither subject.
- Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.
Finding how many students like neither subject but like both the colors:
Given that 10 students like neither color and 5 of the 25 students who like both colors also like neither subject, we can deduce that the remaining 15 students who like both colors must like both subjects.
Since the total number of students who like both white and black is the same as those who like both Maths and English, and we already know that 15 students like both colors, we can conclude that only 5 students like both colors but neither subject.
Therefore, the number of students who like neither subject but like both colors is 5.
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Group QuestionAnswer the following question based on the information given below.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
Question Description
Group QuestionAnswer the following question based on the information given below.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. 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.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. 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.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Group QuestionAnswer the following question based on the information given below.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. 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.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. 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.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect 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 Group QuestionAnswer the following question based on the information given below.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Group QuestionAnswer the following question based on the information given below.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. 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.A survey is conducted in a class of 100 students to understand the relationship between their colour preference (between black and white) and subject preference (between English and Maths). All the students, who do not like any of the two colours, like Maths; and none of the students who like only Maths, like both the colours. The total number of students who like both Maths and English is the same as the total number of students who like both white and black. Of the students who like only English, 50% like both white and black. All the students who do not like any of the two subjects like black. The total number of students who like white is the same as those who like English, and that count is 55. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour. 10 students like only Maths and only White. 10 students like neither colour. Of the 25 students in all, who like both colours, 5 like neither subject. Of the students who like only Black, those who like Maths is the same as those who like English and in this group no one likes both the subjects.Q. How many students like neither subject but like both the colours?a)20b)15c)5d)10e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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