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Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English.  The total number of students learning French is 46 and the total number of students learning only French is 11.
Q.
How many students learn precisely two languages 
  • a)
    55
  • b)
    40
  • c)
    30
  • d)
    13
Correct answer is option 'C'. Can you explain this answer?
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Directions : The students of a class are offered three languages (Hind...
Given information:
- 15 students learn all three languages.
- 28 students do not learn any language.
- 23 students learn only Hindi.
- 17 students learn only English.
- The total number of students learning French is 46 and the total number of students learning only French is 11.

To find out how many students learn precisely two languages, we need to first find out the number of students who learn only two languages.

Let's assume the number of students learning:
- Only Hindi and English but not French = x
- Only Hindi and French but not English = y
- Only English and French but not Hindi = z

Using the given information, we can create the following equations:
- x = 2y
- z = 3y
- (23-15-y-x) + (17-15-x-y) + (46-15-y-z) + 11 + x + y + z + 15 + 28 = total number of students in the class
- Simplifying the above equation, we get:
- 32 + 2x + 2y + 2z = total number of students in the class
- Substituting the values of x and z from the first two equations, we get:
- x = 2y
- z = 3y
- Therefore, x + y + z = 6y
- Simplifying the equation, we get:
- 32 + 8y = total number of students in the class
- Subtracting the number of students who do not learn any language, we get:
- 4y + 15 = total number of students who learn one or more languages

Now, we need to find the value of y to get the number of students who learn only two languages:
- From the equation x = 2y, we know that x is equal to 2 times y.
- From the equation z = 3y, we know that z is equal to 3 times y.
- Adding all the values, we get:
- x + y + z = 2y + y + 3y = 6y
- Therefore, the total number of students who learn only two languages is:
- x + y + z = 6y = 4y + 15 (from above equation)
- Solving the equation, we get y = 5
- Substituting the value of y in the equations for x and z, we get:
- x = 2y = 10
- z = 3y = 15
- Therefore, the number of students who learn precisely two languages is:
- x + y + z = 10 + 5 + 15 = 30

Hence, the correct answer is option (c) 30.
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Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer?
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Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions : The students of a class are offered three languages (Hindi, English and French). 15 students learn all the three languages whereas 28 students do not learn any language. The number of students learning Hindi and English but not French is twice the number of students learning Hindi and French but not English. The number of students learning English and French but not Hindi is thrice the number of students learning Hindi and French but not English. 23 students learn only Hindi and 17 students learn only English. The total number of students learning French is 46 and the total number of students learning only French is 11.Q. How many students learn precisely two languagesa)55b)40c)30d)13Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Defence tests.
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