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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 only black and only English?
  • a)
    10
  • b)
    20
  • c)
    30
  • d)
    40
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A survey is conducted in a class of 100 students to understand the rel...
Solution: Consider the solution to the first question.
The number of students who like only black and only English = a = 10. Hence, option 1.
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Most Upvoted Answer
A survey is conducted in a class of 100 students to understand the rel...
Understanding the given information:
- Students who do not like any of the two colours like Maths.
- None of the students who like only Maths, like both the colours.
- 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.
- 50% of the students who like only English 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 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.

Solution:
To find the number of students who like only black and only English, we need to break down the information provided and analyze it step by step.
1. Students who do not like any of the two colours like Maths.
2. None of the students who like only Maths, like both the colours.
3. 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.
4. 50% of the students who like only English like both white and black.
5. All the students who do not like any of the two subjects like black.
6. The total number of students who like white is the same as those who like English, and that count is 55.
7. Of the students who like both the subjects, those who like both colours is the same as those who like neither colour.
8. 10 students like only Maths and only White.
9. 10 students like neither colour.
10. Of the 25 students who like both colours, 5 like neither subject.
11. 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.
Therefore, the number of students who like only black and only English is 10. Thus, option A is the correct answer.
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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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. 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 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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for 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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of 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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 only black and only English?a)10b)20c)30d)40e)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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