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Question

325 is related to 30 following a certain logic. Following the same logic, 424 is related to 32. Which of the following numbers is related to 16 using the same logic?

This question was previously asked in
PYST : General Awareness - SSC Stenographer 2024 (Tier-I) (10-Dec-2024) (Shift 2)
The correct answer is
182

The logic is based on subtracting the number formed by the last two digits from the number formed by the first digit. Let's break down the examples:

  • 325: 300 (first digit) - 25 (last two digits) = 275. The question provides the simplified version of 30, implying further subtraction or operation. Let's assume it's division by a certain number. 275/x = 30. This is not an integer solution, so it requires a different logic. Let's try another approach. 325 - 25 = 300. Then 300-275 = 25. We are not getting 30.
  • 424: 400 (first digit)- 24 (last two digits) = 376. Again, there is no direct relationship with 32. Let's analyze in a different way. The number is reduced by the last two digits. 424 - 24 = 400. Then 400/12.5 = 32. This suggests the relationship might involve a division.
  • Let's try another approach. Considering the difference between the hundreds digit and the last two digits. For 325: 300 - 25 = 275. For 424: 400 - 24 = 376. There is no obvious pattern. Let's consider the sum of digits. 3 + 2 + 5 = 10, not related to 30. 4 + 2 + 4 = 10, not related to 32.
  • Let's reconsider the division approach. We observe the pattern: (Hundreds digit * 100 + Tens digit * 10) / divisor = result. For 325 and 30: (300+20)/x = 30. It is not giving an answer. Now for 424 and 32: (400+20)/x = 32. This also won't lead to an integer value of x. Let's assume a different logic that we need to find the number that follows the same relationship with 16.

Let's try a different approach: Let's assume the pattern is based on subtraction of the tens and units digits from the number formed by the hundreds digit. For 325: 300 - 25 = 275. This doesn't directly lead to 30. For 424: 400 - 24 = 376. This also doesn't directly lead to 32. Let's consider the number directly without any other operations. The numbers 325 and 30 are not related in an obvious manner. But when we look at 424 and 32, we can see a pattern of dividing by a factor that is not immediately apparent.

Let's examine the relationship between 325 and 30, and 424 and 32. It appears there's no straightforward arithmetic operation. Further analysis reveals the pattern (hundreds digit x 10) + (tens digit) / 10 = result. However, this doesn't work consistently. After extensive analysis, it can be observed that there's a pattern based on subtracting the last two digits from the original number, and then dividing by a factor. We need to find the number x such that following the same logic, x leads to 16. The closest approximation involves a complex pattern that is not easily deciphered from only two examples. Given this ambiguity, determining the intended pattern and its application to find the correct answer for 16 is challenging.

Therefore, without a clearly defined mathematical relationship, determining the number related to 16 is unreliable. Additional examples or clarification of the logic are needed for a conclusive solution.

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