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NIMCET 2012 — Reasoning PYQ

NIMCET | Reasoning | 2012

If A is brother of B, C is brother of B and A is brother of D, then which of the following must be true?

Choose the correct answer:

Explanation

Step 1: Analyze the given statements

$A$ is brother of $B$ : This means $A$ is Male $(A^+)$ . $A$ and $B$ are siblings.

$C$ is brother of $B$ : This means $C$ is Male $(C^+)$ . $C$ and $B$ are siblings.

$A$ is brother of $D$ : This means $A$ and $D$ are siblings.

Step 2: Determine the relationships

From the above points, we know that $A, B, C,$ and $D$ are all siblings (children of the same parents).

Known Genders: $A$ is Male $(+)$ , $C$ is Male $(+)$ .

Unknown Genders: $B$ and $D$ could be either Male or Female.

Step 3: Evaluate the options

(a) $A$ is brother of $C$ : Since $A$ is male and they are siblings, this must be true.

(b) $B$ is brother of $C$ : We don't know $B$ 's gender. $B$ could be the sister of $C$ .

(c) $D$ is brother of $C$ : We don't know $D$ 's gender. $D$ could be the sister of $C$ .

(d) $B$ is brother of $D$ : We don't know the gender of $B$ or $D$ .

Conclusion:

The only statement that is definitely true regardless of the unknown genders is that $A$ is the brother of $C$ .

Correct Option: (a) $A$ is brother of $C$

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