Some equations are solved using a fixed arrangement pattern of the three numbers. For example: 7 x 5 x 6 is written as 576, and 4 x 2 x 5 is written as 245. Using the same number-ordering pattern, what will 8 x 2 x 5 be written as?

Difficulty: Easy

Correct Answer: 285

Explanation:


Introduction / Context:
This coding-decoding question uses a rearrangement pattern of three numbers. The symbol x is only a separator, not multiplication. You must identify the order in which the three input numbers are placed to form the three-digit output.


Given Data / Assumptions:

  • 7 x 5 x 6 = 576
  • 4 x 2 x 5 = 245
  • Find: 8 x 2 x 5 = ?
  • Assume the same rearrangement rule applies to all cases.


Concept / Approach:
Compare the input order with the output digits. In 7,5,6 → 576, the output starts with the middle number 5, then the first number 7, then the last number 6. Verify this with 4,2,5 → 245 before applying it to 8,2,5.


Step-by-Step Solution:
From 7 x 5 x 6 = 576: Output order is: second, first, third → 5,7,6 Check with 4 x 2 x 5 = 245: Second, first, third → 2,4,5 which matches 245 So the rule is confirmed: write numbers in the order (2nd, 1st, 3rd). Now apply to 8 x 2 x 5: Second = 2, First = 8, Third = 5 So output is 285.


Verification / Alternative check:
Once the order is confirmed by both examples, no arithmetic is needed. Simply placing the digits as (2nd, 1st, 3rd) for 8,2,5 gives 285 reliably.


Why Other Options Are Wrong:
258: keeps original order, not the coded order. 582: starts with third number, not second. 852: begins with first number, which contradicts examples. 528: mixes second and third incorrectly.


Common Pitfalls:
Treating x as multiplication, guessing a random rearrangement without verifying with both examples, or mixing the positions (like 1st-3rd-2nd) are frequent mistakes.


Final Answer:
285

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