Blood RelationsMCQPYQ Nov. 18Question 2449 of 195
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Six persons are seen together in a group. They are A, B, C, D, E and F. B is the brother of D but D is not brother of B. F is the brother of B. C and A are married together. F is son of C but C is not the mother of F. E is the brother of A. The number of female members in the group is

Options

A1
B2
C3
D4
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Correct Answer

Option b2

All Options:

  • A1
  • B2
  • C3
  • D4

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Detailed Solution & Explanation

We are given a group of six persons: A, B, C, D, E, and F. We need to determine the number of female members in this group by systematically analyzing the given relationships. Step 1: Analyze the statement "B is the brother of D but D is not brother of B." From "B is the brother of D", we deduce that B is male. From "D is not brother of B", combined with the fact that B is D's brother (implying D is a sibling of B), it means D cannot be male. Therefore, D must be female. Current Genders: B (Male), D (Female). Step 2: Analyze the statement "F is the brother of B." From this, we deduce that F is male. Current Genders: B (Male), D (Female), F (Male). We now know that F, B, and D are siblings, with F and B being male and D being female. Step 3: Analyze the statement "C and A are married together." This implies that C and A form a married couple. One must be male and the other female. Their specific genders are not yet determined from this statement alone. Step 4: Analyze the statement "F is son of C but C is not the mother of F." We already know F is male (from Step 2). "F is son of C" means C is a parent of F. "C is not the mother of F" means C is not female. Since C is a parent, C must be the father of F. Therefore, C is male. Current Genders: B (Male), D (Female), F (Male), C (Male). Step 5: Combine information from Step 3 and Step 4. From Step 3, C and A are married. From Step 4, C is male. For C and A to be a married couple, if C is male, then A must be female. Current Genders: A (Female), B (Male), C (Male), D (Female), F (Male). We now know that C (Male) and A (Female) are the parents of F, B, and D. Step 6: Analyze the statement "E is the brother of A." From this, we deduce that E is male. Current Genders: A (Female), B (Male), C (Male), D (Female), E (Male), F (Male). Step 7: Summarize the gender of each person in the group. A: Female B: Male C: Male D: Female E: Male F: Male Step 8: Count the number of female members in the group. The female members are A and D. Total number of female members = 2. Therefore, the correct choice is **Option B**.

About This Chapter: Blood Relations

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Blood Relations

This chapter covers Blood Relations and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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