NIMCET 2015 — Computer PYQ

1. Output $f$ mein minterm 8 maujood hai, lekin $f_3$ mein nahi hai. Iska matlab 8 zaroor $(f_1\cap f_2)$ se aa raha hai.

   $$⟹8\in f_2$$

2. Output $f$ mein minterms 4, 5, aur 7 nahi hain. Kyunki ye $f_1$ mein maujood hain, isliye inhe $f_2$ mein nahi hona chahiye, taaki intersection $(\cap )$ mein ye eliminate ho jayein.

   $$⟹4,5,7\notin f_2$$

3. Output $f$ mein minterm 6 maujood hai. Ye $f_3$ se pehle hi mil raha hai, isliye $f_2$ mein 6 ka hona ya na hona final result ko change nahi karega.

Options check karte hain:

• (a) $\sum (4,6)$: Isme 8 nahi hai. (Incorrect)

• (b) $\sum (4,8)$: Isme 4 hai, jo ki final output $f$ mein nahi hona chahiye. (Incorrect)

• (c) $\sum (6,8)$: Isme 8 hai aur 4, 5, 7 nahi hain. Ye condition ko satisfy karta hai.

• (d) $\sum (4,6,8)$: Isme bhi 4 hai. (Incorrect)

Correct Option:

(c) $\sum (6,8)$