Multiple choice

Find the wrong number in the following number series. $344 381 420 460 504 549$

  1. 460

  2. 344

  3. 420

  4. 381

  5. 549
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A Correct answer
Explanation

The pattern is: subtract consecutive odd numbers (starting from 7) from the next perfect square. 361 - 17 = 344, 400 - 19 = 381, 441 - 21 = 420, 484 - 23 = 461, 529 - 25 = 504, 576 - 27 = 549. The term 460 is incorrect; it should be 461 (22² - 23).

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