Consider the following including the Question and the Statements: There are 5 members A, B, C, D, E in a family. Question: What is the relation of E to B? Statement- 1: A and B are a married couple. Statement- 2: D is the father of C. Statement- 3: E is D's son. Statement- 4: A and C are sisters. Which one of the following is correct in respect of the above Question and Statements?
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- AStatement-1, Statement-2 and Statement-3 are sufficient to answer the Question.
- BStatement-1, Statement-3 and Statement-4 are sufficient to answer the Question.
- CAll four statements together are sufficient to answer the Question.Correct
- DAll four statements are not sufficient to answer the Question.
Explanation
To determine the relation of E to B, we need to establish the family tree using all the given statements.
1. From Statement 1: A and B are a married couple. (A -- B)
2. From Statement 4: A and C are sisters.
* This means A is female. Since A is married to B, B must be male.
* So, A (female) and C (female) are sisters.
3. From Statement 2: D is the father of C.
* Since A and C are sisters, D is also the father of A.
* So, D (male) is the father of A and C.
4. From Statement 3: E is D's son.
* Since D is the father of A and C, and E is D's son, E is the brother of A and C. (E is male).
Now, let's connect E to B:
* A is B's wife (from statement 1).
* E is A's brother (derived from statements 2, 3, and 4).
* Therefore, E is B's brother-in-law.
All four statements are required to establish these connections:
* Statement 1 connects A and B.
* Statement 4 connects A and C.
* Statement 2 connects D to C (and thus to A).
* Statement 3 connects E to D (and thus to A and C).
Without any one of these statements, the full relationship cannot be determined. For example, if Statement 4 (A and C are sisters) is missing, we wouldn't know how A relates to C, and therefore couldn't link A to D and E. Similarly for other statements.
Thus, all four statements together are necessary and sufficient to answer the question.
The final answer is C.

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