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In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidates passed in both of these subjects, the number of Candidates that appeared for the examination was
  • a)
    3000
  • b)
    3500
  • c)
    4000
  • d)
    5000
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an examination, 60% of the candidates passed in English and 70% of ...
Let the total number of candidates = x
Number of candidates passed in English = 0.6x
Number of candidates passed in Maths = 0.7x
Number of candidates failed in both subjects = 0.2x
Number of candidates passed at least passed in one subject
= x - 0.2x = 0.8x
= 0.6x + 0.7x - 2500 = 0.8x
= 1.3x -0.8x = 2500
= 0.5x = 2500
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Most Upvoted Answer
In an examination, 60% of the candidates passed in English and 70% of ...
To solve this problem, we can use the principle of inclusion-exclusion. Let's break down the information given and solve step by step.

Given:
- 60% of candidates passed in English.
- 70% of candidates passed in Mathematics.
- 20% failed in both subjects.
- 2500 candidates passed in both subjects.

Let's assume the total number of candidates who appeared for the examination as 'x'.

Candidates who passed in English: 60% of x
Candidates who passed in Mathematics: 70% of x
Candidates who failed in both subjects: 20% of x

Now, let's calculate the number of candidates who passed in both subjects using the principle of inclusion-exclusion.

Number of candidates who passed in both subjects = Candidates who passed in English + Candidates who passed in Mathematics - Candidates who failed in both subjects

2500 = (60% of x) + (70% of x) - (20% of x)

Simplifying the equation:

2500 = 0.6x + 0.7x - 0.2x

Combining like terms:

2500 = 1.1x - 0.2x

2500 = 0.9x

Dividing both sides by 0.9:

x = 2500 / 0.9

x ≈ 2777.78

Since the number of candidates must be a whole number, we can round up to the nearest whole number.

Therefore, the number of candidates that appeared for the examination is approximately 2778. Thus, the correct answer is option 'D' (5000).
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In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidatespassed in both of these subjects, the number of Candidates that appeared forthe examination wasa)3000b)3500c)4000d)5000Correct answer is option 'D'. Can you explain this answer?
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In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidatespassed in both of these subjects, the number of Candidates that appeared forthe examination wasa)3000b)3500c)4000d)5000Correct answer is option 'D'. 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 In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidatespassed in both of these subjects, the number of Candidates that appeared forthe examination wasa)3000b)3500c)4000d)5000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidatespassed in both of these subjects, the number of Candidates that appeared forthe examination wasa)3000b)3500c)4000d)5000Correct answer is option 'D'. Can you explain this answer?.
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