NIMCET 2008 — Reasoning PYQ

• Divisibility by 80: The number must be divisible by $10$ and $8$.

• For 10: The last digit $y$ must be $0$.

  $$⟹y=0$$

• For 8: The last three digits $5x0$ must be divisible by $8$.

  • If $x=2$, $520$ is divisible by $8$.

  • If $x=6$, $560$ is divisible by $8$.

• Calculation:

  • $x+y=2+0=2$

  • $x+y=6+0=6$

Correct Option: (a) or (d) (Both $2$ and $6$ are mathematically valid).