Which of the following numbers must be added to 5678 so that the result leaves…

Goal: Find x such that 5678 + x leaves remainder 35 when divided by 460.

Current remainder: 5678 = 460 × 12 + 158, so 5678 leaves remainder 158.

Required condition: 158 + x should leave remainder 35.

So, x ≡ 35 − 158 = −123 ≡ 337 (mod 460).

The smallest such number is 337, but it is not in the options. Add 460 once: 337 + 460 = 797.

Correct answer: 797