1. Zadatak

S $t$ označimo točne odgovore, s $n$ netočne odgovore, a s $m$ neodgovorene odgovore.

• 35 točnih odgovora $\Longleftrightarrow 35\cdot5=175$

• 34 točna odgovora

  $$\begin{aligned} 34t+n&\Longleftrightarrow 34\cdot5-2=168\\ 34t+m&\Longleftrightarrow 34\cdot5-1=169 \end{aligned}$$

• 33 točna odgovora

  $$\begin{aligned} 33t+2n&\Longleftrightarrow 33\cdot5-4=161\\ 33t+n+m&\Longleftrightarrow 33\cdot5-2-1=162\\ 33t+2m&\Longleftrightarrow 33\cdot5-2=163 \end{aligned}$$

• 32 točna odgovora

  $$\begin{aligned} 32t+3n&\Longleftrightarrow 32\cdot5-6=154\\ 32t+2n+m&\Longleftrightarrow 32\cdot5-4-1=155\\ 32t+n+2m&\Longleftrightarrow 32\cdot5-2-2=156\\ 32t+3m&\Longleftrightarrow 32\cdot5-3=157 \end{aligned}$$

• 31 točan odgovor

  $$\begin{aligned} 31t+4n&\Longleftrightarrow 31\cdot5-8=147\\ 31t+3n+m&\Longleftrightarrow 31\cdot5-6-1=148\\ 31t+2n+2m&\Longleftrightarrow 31\cdot5-4-2=149\\ 31t+n+3m&\Longleftrightarrow 31\cdot5-2-3=150\\ 31t+4m&\Longleftrightarrow 31\cdot5-4=151 \end{aligned}$$

Istinu govore Šime i Ivo.