In this numerical sequence, each number decreases from the previous one. The question is to find the number that `X` represents.

Looking closely at the sequence, we see that the difference between 462 and 420 is 42, and the difference between 420 and 380 is 40. The numbers are decreasing by 2 less each time. Therefore, it is plausible to expect that the difference between the next two values would be 38 (40-2). Subtracting 38 from 380 gives you 342. Therefore, option 2 is the correct answer.

The other options can be disproven as follows: 352 (option 1) would suggest a difference of 28 which doesn`t fit the pattern of decreasing by 2. Similarly, 332 (option 3) and 322 (option 4) would imply different difference which also doesn`t follow the established pattern. Hence, option 2 – 342 is the correct answer.