NIMCET 2025 Previous Year Questions (PYQs) – Page 3 of 12

We have $ (A \oplus B) \land (B \to C) = (A \oplus B)\land(\lnot B \lor C)$.

• If $B=0$: $(\lnot B \lor C)=1$ always, so output $=A\oplus 0=A$. Hence rows with $A=1$ work: $(A,B,C)=(1,0,0)$ and $(1,0,1)$.
• If $B=1$: need $C=1$ (for $B\to C$) and $A\oplus 1=1\Rightarrow A=0$. Hence $(A,B,C)=(0,1,1)$.

Rows with output 1: $(1,0,0)$, $(1,0,1)$, $(0,1,1)$.

• CPU → Word: The CPU processes data in units called words (e.g., 32-bit or 64-bit).
• Cache → Block: Cache stores and transfers data in blocks (or cache lines).
• Main Memory → Page: Memory management uses pages (typically 4 KB each) as the fundamental unit for virtual memory.

✅ Correct Answer: CPU → Word, Cache → Block, Memory → Page

Convert decimal 265 to hexadecimal:

Divide by 16 repeatedly:

• $265 ÷ 16 = 16$ remainder $9$
• $16 ÷ 16 = 1$ remainder $0$
• $1 ÷ 16 = 0$ remainder $1$

Now write remainders from last to first → $1\,0\,9$

✅ Hexadecimal representation = 0x109

Correct Option: 0x109

• (1) ✔ Correct — “It’s been raining since morning.” → Present perfect continuous tense, correct usage.
• (2) ❌ Incorrect — “Understand” is a stative verb (expresses a state, not an action) and is not used in the continuous form. Correct form: “They understand the problem.”
• (3) ✔ Correct — “It has clear ideas.” → Proper use of “has.”
• (4) ✔ Correct — Grammatically fine.

✅ Incorrect sentence: They are understanding the problem.

The idiom “to cost an arm and a leg” means something is very expensive or costs a lot of money.

✅ Correct Answer: To be very expensive

The incorrect phrase is “on Rio de Janeiro.”

The correct preposition should be “in Rio de Janeiro” because we say something is located in a city, not on it.

✅ Correct Answer: on Rio de Janeiro

Subject: The man and the dog → plural subject → requires a plural verb form.

The correct tense expressing a continuous past action is “were fleeing.”

✅ Correct Answer: (3) were fleeing

Subject: One of the employees → singular (the main subject is “one,” not “employees”).

Hence, the verb must be singular → is planning.

✅ Correct Answer: is

The verb "to lay" means to put or place something down and requires an object.

• (1) ❌ Incorrect — “Laying down” should be “lying down” (no object).
• (2) ❌ Incorrect — “Lays on the bed” → should be “lies on the bed.”
• (3) ❌ Incorrect — “Has lain” comes from “to lie,” not “to lay.”
• (4) ✅ Correct — “She laid the book on the table.” → correct past tense of “lay” with object “book.”

✅ Correct Answer:  She laid the book on the table.