CAT Exam  >  CAT Questions  >  A survey is conducted in a class of 100 stude... Start Learning for Free
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 white as well as English?
  • a)
    5
  • b)
    20
  • c)
    25
  • d)
    30
  • e)
    40
Correct answer is option 'E'. 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. Number of students who like white as well as English = (Only white and only English) + (only white and both subjects) + (only English and both colours) + (both subjects and both colours) = 5 + 15 + 15 + 5
= 40. 
Hence, option 5
View all questions of this test
Most Upvoted Answer
A survey is conducted in a class of 100 students to understand the rel...
Given Information:
- Total number of students = 100
- Students who do not like any of the two colours like Maths
- Students who like only Maths do not like both colours
- Total number of students who like both Maths and English is the same as those who like both white and black
- 50% of students who like only English like both white and black
- Students who do not like any of the two subjects like black
- Total number of students who like white is 55
- Total number of students who like both subjects and both colours is the same as those who like neither colour
- 10 students like only Maths and only White
- 10 students like neither colour
- 5 students who like both colours also like neither subject
- Students who like only Black and Maths is the same as those who like only Black and English (and none like both subjects)

Solution:
Let's break down the information given and solve for the number of students who like white as well as English:
- Students who like only Maths = 100 - 55 (like white) - 5 (like neither colour) = 40
- Students who like only English = 55 (like white) - 5 (like both subjects and both colours) - 25 (like both colours) - 10 (like only Maths and only White) = 15
- Students who like both Maths and English = 25 (like both colours) - 5 (like neither subject) = 20
- Students who like only English and both colours = 15 * 0.5 = 7.5 ≈ 8 (considering whole numbers)
- Students who like both white and black = 25 (like both subjects and both colours)
- Students who like only white and English = 55 - 8 - 10 = 37
Therefore, the total number of students who like white as well as English = 8 + 37 = 45, which is not given in the options.
Explore Courses for CAT exam

Top Courses for CAT

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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. Can you explain this answer?
Question Description
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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. 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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. 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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. Can you explain this answer?.
Solutions 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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. 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 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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. 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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. 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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. 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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. 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 white as well as English?a)5b)20c)25d)30e)40Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev