34 is related to 191 by certain logic. Following the same logic, 56 is related to 301. To which of the following is 63 related, following the same logic?
(Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

Question

34 is related to 191 by certain logic. Following the same logic, 56 is related to 301. To which of the following is 63 related, following the same logic?  
 (Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

Accepted Answer

Step 1: Analyze the relation between 34 and 191.

Step 2: Check if 191 is related to 34 by any arithmetic operation on the whole number 34.
 
Step 3: Try squaring 34: 34^2 = 1156 (too large, no match).

Step 4: Try multiplying 34 by 5: 34 * 5 = 170 (close but not 191).

Step 5: Try multiplying 34 by 6: 34 * 6 = 204 (no).

Step 6: Try 34 * 5 + 21 = 170 + 21 = 191 (matches).
So the logic could be: multiply the number by 5 and add 21.

Step 7: Check with 56 and 301.  
56 * 5 + 21 = 280 + 21 = 301 (matches).

Step 8: Apply the same logic to 63.

63 * 5 + 21 = 315 + 21 = 336.

Step 9: Check options for 336.

Option 3 is 336.   
Therefore, the correct answer is 336.

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