Given the relation [24/7] is related to [12/7] following a certain logic, and [11/15] is related to [11/30] following the same logic, find the number related to [9/13] following the same logic.

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Accepted Answer

Step 1: Analyze the first pair [24/7] and [12/7]. The numerator changes from 24 to 12, which is half of 24, while the denominator remains the same (7).

Step 2: Analyze the second pair [11/15] and [11/30]. The numerator remains the same (11), while the denominator doubles from 15 to 30.

Step 3: From the above, the logic alternates between halving the numerator (keeping denominator same) and doubling the denominator (keeping numerator same).

Step 4: Applying the same logic to [9/13]:

Alternatively, the logic is:
- If numerator changes, it is halved.
- If denominator changes, it is doubled.

Given [9/13], applying the logic:
- Numerator remains same (9), denominator doubles: 13 * 2 = 26?

Therefore, [9/26] is the correct related pair.

Hence, the correct answer is option 3: [9/26].

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