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Directions: Read the information carefully and answer the question.
Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.
Q. What is the total number of candidates who were placed in exactly two companies only?
  • a)
    60
  • b)
    72
  • c)
    84
  • d)
    96
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Read the information carefully and answer the question.Th...
Given Information:
- Three companies L, M, and N participated in campus recruitment at college Z.
- All three companies selected an equal number of candidates.
- 60 candidates were selected by both L and M.
- The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M.
- 28 candidates got placed in all three companies.
- This number (28) was 50% less than the number of candidates selected by both L and N.
- The total number of candidates selected by both L and N was 91.88% less than the total number of candidates selected by all three companies.

To Find:
The total number of candidates who were placed in exactly two companies only.

Solution:

To solve this question, we need to analyze the given information and find the number of candidates placed in each company.

Step 1: Finding the Number of Candidates Selected by Both M and N

Let's assume the number of candidates selected by both L and M as 'x'.

According to the given information, the number of candidates selected by both M and N is 68 less than twice the number of candidates selected by both L and M.

Twice the number of candidates selected by both L and M = 2x
Number of candidates selected by both M and N = 2x - 68

Step 2: Finding the Number of Candidates Selected by Both L and N

We know that 28 candidates got placed in all three companies. So, the number of candidates selected by both L and N is 28.

According to the given information, this number (28) is 50% less than the number of candidates selected by both L and N.

Let's assume the number of candidates selected by both L and N as 'y'.

50% of the number of candidates selected by both L and N = 28
0.5y = 28
y = 56

Step 3: Finding the Total Number of Candidates Selected by All Three Companies

We know that the total number of candidates selected by both L and N is 91.88% less than the total number of candidates selected by all three companies.

Let's assume the total number of candidates selected by all three companies as 'z'.

91.88% of the total number of candidates selected by all three companies = z - y
0.9188z = z - 56
0.0812z = 56
z = 56/0.0812
z ≈ 689.54

Step 4: Finding the Number of Candidates Placed in Exactly Two Companies Only

The number of candidates placed in exactly two companies only is the sum of the candidates selected by both L and M, both M and N, and both L and N, excluding the candidates placed in all three companies.

Number of candidates placed in exactly two companies only = x + (2x - 68) + y - 28
= x + 2x - 68 + 56 - 28
= 3x - 40

Since all three companies selected an equal number of candidates, we can assume the number of candidates selected by each company as 'a'.

Therefore, x = 60 (as 60 candidates were selected by both
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Community Answer
Directions: Read the information carefully and answer the question.Th...
The Venn diagram for the given problem is as given in figure 1.
Firstly, there are 28 candidates placed in all the 3 companies.
So, 28 goes into the common region.
Then, 60 candidates were selected by both L and M.
So, 60 - 28 = 32 goes into the region common only to L and M.
Now, number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M.
Thus, number of candidates selected by both M and N = 2 × 60 - 68 = 120 - 68 = 52
Thus, 52 - 28 = 24 goes into the region common to both M and N.
Now, number of candidates selected by both L and N = 2 × 28 = 56
Thus, 56 - 28 = 28 goes into the region common to both L and N.
Now, let the total number of candidates selected = T
Number of candidates selected by both L and N = 56
So, 56 = T(1 - 0.9188) or T = 690
As equal number of candidates were selected by the 3 companies, the number of candidates in each company = 690/3 = 230
Thus, 230 - (32 + 28 + 28) = 230 - 88 = 142 goes into the region exclusive to L.
230 - (28 + 28 + 24) = 230 - 80 = 150 goes into the region exclusive to N.
230 - (32 + 28 + 24) = 230 - 84 = 146 goes into the region exclusive to M.
From the Venn diagram, it is clear that total number of candidates placed in exactly 2 companies only = 32 + 28 + 24 = 84
Hence, answer option (c) is correct.
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Directions: Read the information carefully and answer the question.Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.Q. What is the total number of candidates who were placed in exactly two companies only?a)60b)72c)84d)96Correct answer is option 'C'. Can you explain this answer?
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Directions: Read the information carefully and answer the question.Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.Q. What is the total number of candidates who were placed in exactly two companies only?a)60b)72c)84d)96Correct answer is option 'C'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Read the information carefully and answer the question.Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.Q. What is the total number of candidates who were placed in exactly two companies only?a)60b)72c)84d)96Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the information carefully and answer the question.Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.Q. What is the total number of candidates who were placed in exactly two companies only?a)60b)72c)84d)96Correct answer is option 'C'. Can you explain this answer?.
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