Directions: andndash; Answer the questions on the basis of the information given below.A group of X students applied to three collegesandndash; A, B, and C to pursue their postandndash;graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is oneandndash;third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?

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Directions: – Answer the questions on the basis of the information given below.
A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.

Q. If exactly 100 students applied only to A, what is the value of X?

a)
500
b)
600
c)
700
d)
Cannot be determined

Correct answer is option 'C'. Can you explain this answer?

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Directions: – Answer the questions on the basis of the informati...

From the given Venn diagram
3a = c
d + e + f = c = 3a
d + e + f + g = a + d + e + g
=> f = a
a = b + d + f + g
as, a = f so b + d + g = 0 i.e., b = d = g = 0
Hence, d + e + f = c = 3a, d = 0, f = a
Than e = 2a

Total number of student – a + b + c + d + e + f + g
=> a + 0 + 3a + 0 + 2a + a + 0 => 7a
Given a = 100, Total number of students is 7a
= 7 × 100
= 700

Answered by Wizius Careers · View profile

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Directions: – Answer the questions on the basis of the informati...

Total number of student – a + b + c + d + e + f + g
=> a + 0 + 3a + 0 + 2a + a + 0 => 7a
Given a = 100, Total number of students is 7a
= 7 × 100
= 700

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Solutions for Directions: – Answer the questions on the basis of the information given below.A group of X students applied to three colleges– A, B, and C to pursue their post–graduation such that each student applied to at least one college. Further, it is known that the number of students who applied only to A is one–third the number of students who applied only to C. The number of students who applied to exactly two colleges is the same as the number of students who applied to only C. The number of students who applied to at least two colleges is the same as the number of students who applied to A. The number of students who applied to B is equal to the number of students who applied only to A.Q. If exactly 100 students applied only to A, what is the value of X?a)500b)600c)700d)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. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

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