Question:

If 841=3, 633=5 and 425=7 then 217=?

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Always look for multiple arithmetic combinations (addition, division, subtraction) if the first one fails.
Updated On: Jun 5, 2026
  • 6
  • 4
  • 8
  • 9
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The Correct Option is D

Solution and Explanation

Concept: This is a number-coding puzzle where the digits of the given numbers are subjected to specific arithmetic operations to arrive at the resultant value.

Step 1: Analyzing the pattern in 841=3.
Sum of digits: $8 + 4 + 1 = 13$. Subtract 10: $13 - 10 = 3$. Alternatively, try $(8 + 1) - 4 = 5$ (Does not match). Let's try: $(8 / 4) + 1 = 3$. This works.

Step 2: Testing the pattern on 633=5 and 425=7.
Apply $(First / Second) + Third$: - For 633: $(6 / 3) + 3 = 2 + 3 = 5$. (Matches) - For 425: $(4 / 2) + 5 = 2 + 5 = 7$. (Matches)

Step 3: Applying the logic to 217.
Following the established pattern $(First / Second) + Third$: equation (2 / 1) + 7 = 2 + 7 = 9 equation equation (2 + 7) - 1 = 9 equation center 9 center
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