NIMCET 2026 Previous Year Questions (PYQs) – Page 1 of 12

NIMCET 2026 Previous Year Questions (PYQs) – Page 1 of 12

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🎓 NIMCET📅 Year: 2026📚 Mathematics🏷 Ellipse

The eccentricity of an ellipse whose center is at the origin is $\frac{1}{2}$. If one of its directrices is $x=-4$, find the equation of the normal to the ellipse at the point $\left(1,\frac{3}{2}\right)$.

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Computer Architecture

Consider the following table.
 Entry Description 
 I. Solid State Drive A. Volatile main memory that holds data currently in use by the OS and applications
 II. Cache Memory B. Long-term, non-volatile storage used for the operating system and large files
 III. Random Access Memory $($RAM$)$ C. Fastest and smallest storage available for processor computations
 IV. CPU Registers D. High-speed buffer memory between the CPU and RAM that holds frequently accessed data
Which of the following options is the correct match between the entries $($I-IV$)$ and the descriptions $($A-D$)$?

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🎓 NIMCET📅 Year: 2026📚 Mathematics🏷 Quadratic Equations

If $x,y$ are real numbers such that $2^{x+\frac{1}{2}}\times 4^{y-\frac{5}{6}}=3^{x-\frac{1}{2}}\times 9^{y-\frac{1}{3}}$ then which of the following is true?

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Internet and Email

Which component of a web browser is responsible for taking HTML, CSS, and JavaScript code and turning it into the visual page you interact with?

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🎓 NIMCET📅 Year: 2026📚 Mathematics🏷 Heights and Distances

From the top of a viewpoint at a height of 80 m, the angles of depression of the top and bottom of a flag standing on the same plane are $30^\circ$ and $45^\circ$. Find the height of the flag.

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Internet and Email

What are "Cookies" in the context of web browsing?


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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Central Processing Unit (CPU)

Which of the following statements about the fetch-decode-execute cycle in a CPU are correct?

I. The Program Counter is incremented after each instruction is fetched so the CPU moves to the next instruction.

II. The Control Unit is responsible for fetching instructions and placing them in the Instruction Register.

III. The ALU is responsible for decoding instructions and determining which operation to perform.

IV. Registers are used to permanently store the operating system's files for fast access.

Identify the correct option.


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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Internet and Email

Match the following web-browsing terms with their correct meanings.
 Column A: Term Column B: Meaning
 $1.$ Web Browser a. Converts a human-readable website name into a numerical network address
 $2.$ URL b. Program used to request, retrieve, and display web pages
 $3.$ DNS c. Standard rules used by browsers and servers to exchange web content
 $4.$ HTTP d. Complete address that identifies the location of a web resource
Which of the following is the CORRECT matching?

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Operating System

A system administrator is analysing the software layers of a corporate computer. Which of the following statements correctly distinguish system software from application software?

I. Device drivers are classified as application software because end-users install them to run devices.

II. Linux, macOS, and Android are operating systems and are classified as system software.

III. The OS kernel manages CPU scheduling, memory allocation, and hardware access on behalf of programs.

IV. A web browser and a word processor are examples of system software because they help users perform common tasks.

Identify the CORRECT option.


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🎓 NIMCET📅 Year: 2026📚 Computer🏷 1s Complement 2s Complement

Consider the following statements about the range of numbers in a $9$-bit $1$'s complement and $2$'s complement system.

I. In $9$-bit $1$'s complement, the range is $-255$ to $+255$, and there exist two representations of zero.

II. In $9$-bit $2$'s complement, the range is $-256$ to $+255$, and both $1$'s complement and $2$'s complement can represent exactly $512$ unique values.

III. The maximum positive number representable is $+255$ in both $1$'s complement and $2$'s complement $9$-bit systems.

Identify the CORRECT option.


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