MCA NIMCET 2021 Previous Year Question Paper and Solution with PDF

Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations

MCA NIMCET
Previous Year Questions

MCA NIMCET
Previous Year Questions
MCA NIMCET

MCA NIMCET Previous Year Questions (PYQs)

MCA NIMCET 2021 PYQ

Qus : 1MCA NIMCET PYQ 2021

The Process when processor fetch or decode another instruction during the execution of current instruction is called

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

✅ Concept:

In modern processors, to improve performance, the CPU often overlaps the fetch, decode, and execute stages of multiple instructions. This overlapping is known as:

Instruction Pipelining

✅ Example:

Instruction 1: Being executed
Instruction 2: Being decoded
Instruction 3: Being fetched

This overlapping allows multiple instructions to be processed simultaneously at different stages of the pipeline, improving throughput.

✅ Final Answer: $\boxed{\text{Instruction Pipelining}}$

Qus : 2MCA NIMCET PYQ 2021

Which of the following is used by ALU to store the intermediate results?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

✅ Concept:

The Accumulator is a special-purpose register used by the ALU to store intermediate results during arithmetic and logic operations.

✅ Explanation:

It simplifies CPU design by reducing the number of memory accesses.
Results of one operation are stored in the accumulator and used in the next.
Widely used in simple or older CPU architectures.

✅ Final Answer: $\boxed{\text{Accumulator}}$

Qus : 3MCA NIMCET PYQ 2021

One TeraByte(TB)=_________GB and One ExaByte(EB)=_______GB

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

✅ Conversion (Using Powers of 2):

1 Terabyte (TB) = $2^{10}$ Gigabytes (GB)
1 Exabyte (EB) = $2^{10}$ Petabytes (PB)
1 Petabyte (PB) = $2^{10}$ Terabytes (TB)
Therefore, 1 Exabyte (EB) = $2^{10} \times 2^{10} \times 2^{10} = 2^{30}$ Gigabytes (GB)

✅ Final Answer:

1 Terabyte (TB) = $\boxed{2^{10}}$ GB
1 Exabyte (EB) = $\boxed{2^{30}}$ GB

Unit	Shortened	Capacity
Bit	b	1 or 0 (on or off)
Byte	B	8 bits
Kilobyte	KB	1024 bytes
Megabyte	MB	1024 kilobytes
Gigabyte	GB	1024 megabytes
Terabyte	TB	1024 gigabytes
Petabyte	PB	1024 terabytes
Exabyte	EB	1024 petabytes
Zettabyte	ZB	1024 exabytes
Yottabyte	YB	1024 zettabytes

Qus : 4MCA NIMCET PYQ 2021

The Cache Memory is more effective because of

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

✅ Concept:

Cache memory is highly effective due to its ability to take advantage of the locality of reference. This refers to the tendency of programs to access a relatively small portion of memory repeatedly during execution.

✅ Explanation of Options:

Memory Localization: Not the correct answer, as it's a general concept related to memory organization.
Locality of Reference: The correct answer! This refers to the tendency of a program to repeatedly access the same memory locations, which cache memory leverages to speed up data access.
Memory Size: Cache memory is small, and its size is actually one of the factors that makes it faster, but size alone does not determine its effectiveness.
None of the Mentioned: This option is incorrect because "locality of reference" is the main reason cache memory is effective.

✅ Final Answer:

The most effective reason for cache memory is the $\boxed{\text{Locality of Reference}}$ .

Qus : 5MCA NIMCET PYQ 2021

Which of the following is the fastest means of memory access for CPU?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

✅ Concept:

The fastest means of memory access for the CPU refers to the storage that allows the quickest retrieval of data. This is crucial for efficient processing and performance.

✅ Explanation of Options:

Registers: Registers are the fastest form of memory access because they are directly in the CPU. However, they are very small and not used for regular memory storage.
Cache: Cache memory is the most effective and frequently used type of memory, as it stores frequently accessed data for fast retrieval. It is still slower than registers but much faster than main memory.
Main Memory: Main memory (RAM) is slower than both cache and registers, but it provides larger storage for currently active processes.
Stack: The stack is used for storing function calls and local variables. While it is quick, it still doesn't surpass cache memory in terms of speed.

✅ Final Answer:

The fastest means of memory access for the CPU is $\boxed{\text{Registers}}$ .

Qus : 6MCA NIMCET PYQ 2021

The number (2217)₈ is equivalent to

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

✅ Step 1: Convert Octal to Binary

Each octal digit is represented by 3 binary digits. Let's convert (2217)₈ to binary:

2₈ = 010, 2₈ = 010, 1₈ = 001, 7₈ = 111

Binary Representation: 010 010 001 111

✅ Step 2: Group Binary in 4-bit Sections

To convert binary to hexadecimal, group the binary digits in sets of 4, starting from the right:

010 010 001 111 becomes 0010 0100 0111

✅ Step 3: Convert Binary to Hexadecimal

Now convert each group of 4 bits into its hexadecimal equivalent:

0010 = 2
0100 = 4
0111 = 7

✅ Final Answer:

The hexadecimal equivalent of (2217)₈ is: (247)₁₆

Qus : 7MCA NIMCET PYQ 2021

To fetch data from secondary memory which one of the following register is used

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

✅ Concept:

To fetch data from secondary memory, certain registers are used to handle the addresses and manage the data flow between secondary memory and the CPU.

✅ Explanation of Options:

Program Counter (PC): The Program Counter holds the address of the next instruction to execute, not used for fetching data from secondary memory.
Memory Address Register (MAR): This is the correct answer! The MAR holds the address in memory from which data will be fetched or written, including from secondary storage. It is responsible for managing the memory access.
Memory Buffer Register (MBR): The MBR temporarily holds data being transferred to or from memory but does not directly fetch data from secondary memory.
Accumulator: The Accumulator holds intermediate results of arithmetic or logical operations, not used for fetching data from secondary memory.

✅ Final Answer:

The register used to fetch data from secondary memory is the $\boxed{\text{Memory Address Register (MAR)}}$ .

Qus : 8MCA NIMCET PYQ 2021

The binary multiplication 00*11 will give

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

✅ Concept:

Binary multiplication is done similarly to decimal multiplication, where each bit is multiplied individually. Let's break down $00_2 \times 11_2$ step by step.

✅ Step 1: Understanding Binary Multiplication

We multiply each digit in the first binary number by each digit in the second binary number. The multiplication follows the same rules as decimal multiplication but with only 0's and 1's.

✅ Step 2: Perform the Multiplication

Let's multiply the two binary numbers:

First step: $0 \times 1 = 0$
Second step: $0 \times 1 = 0$
Third step: $0 \times 1 = 0$

✅ Step 3: Adding the Results

Since all the results are 0, the final multiplication result is also 0.

✅ Final Answer:

The result of $00_2 \times 11_2$ is: 0

Qus : 9MCA NIMCET PYQ 2021

Consider a computer system with speed of 10⁶ instructions per second. A program P, having 2n² steps is run on this system, where n is the input size. If n = 10000, what is the execution time for P?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

$\text{Speed of computer} = 10^6 \text{per second}$

$\text{For n} =10000=10^4$

$Time = \frac{\text{No of tasks}}{\text{Speed of computer}}$

$Time = \frac{2n^2}{10^6}$

$= \frac{2\times (10^4)^2}{10^6}$

$= \frac{2\times 10^8}{10^6}$

$=2 \times 10^2$

$= 200sec$

Qus : 10MCA NIMCET PYQ 2021

To access the I/O devices the status flags is continuously checked in

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Programmed I/O: In program-controlled I/O, the processor program controls the complete data transfer. So only when an I/O transfer instruction is executed, the transfer could take place. It is required to check that device is ready/not for the data transfer in most cases. Usually, the transfer is to & from a CPU register & peripheral. Here, CPU constantly monitors the peripheral. Here, until the I/O unit indicates that it is ready for transfer, the CPU wait & stays in a loop. It is time-consuming as it keeps the CPU busy needlessly.

Qus : 11MCA NIMCET PYQ 2021

Choose the most suitable synonym of the given word:

SCINTILLATING

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Warming - The word ‘warming’ refers to ‘make or become warm'. This has a very different meaning to the given word. It is not the required synonym. So, this is an incorrect option.

Touching - The word ‘touching’ refers to ‘arousing feelings of sympathy or gratitude'. This has a completely different meaning to the given word. It is not its synonym. So, this is an incorrect option.

Glittering - The word ‘glittering’ refers to ‘shining with a shimmering or sparkling light'. This word has the exact same meaning as the given word. It is the synonym of ‘scintillating’. So, this is the correct option.

Qus : 12MCA NIMCET PYQ 2021

Choose the most suitable synonym of the given word:

BLAND

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

bland - tasteless
Example: a bland sauce.

Qus : 13MCA NIMCET PYQ 2021

Fil in the blank with the most appropriate word given:

I cannot ____________ it to you right now; tomorrow we will discuss about it.

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 14MCA NIMCET PYQ 2021

Choose the most suitable synonym of the given word?

RECUPERATE

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Synonyms:

come back,

convalesce,

gain,

heal,

mend,

recoup,

recover,

snap back

Example:

This way, your body can recuperate after working hard.

Qus : 15MCA NIMCET PYQ 2021

Fill in the blank with the most appropriate word:

The _________ with which he is able to wield the paint – brush is really remarkable?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 16MCA NIMCET PYQ 2021

Choose the most suitable antonym of given word:

ERUDITE

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 17MCA NIMCET PYQ 2021

Which one word for the following:

An uncivilized / primitive person.

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 18MCA NIMCET PYQ 2021

Fill in the blank with the most appropriate word:

The car driver was arrested for rash driving and his license was __________ by the police.

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

The word "impounded" refers to the action of taking something into legal custody, often by authorities, due to a violation or legal reason. In the context of the sentence:

"The car driver was arrested for rash driving and his license was impounded by the police."

However, "impounded" is typically used for physical objects (like a car) rather than abstract things (like a driver's license).

Qus : 19MCA NIMCET PYQ 2021

Fill in the blank with the most appropriate word:

The State Transportation Corporation has _______ a loss of 5 crore INR this year.

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

The correct sentence is:

The State Transportation Corporation has incurred a loss of 5 crore INR this year.

Explanation:

"Incurred" means to experience or bring upon oneself, especially something negative, like a loss, debt, or expense.

Examples:

The company has incurred significant expenses in its expansion efforts.
The business incurred a heavy loss due to the economic downturn.

Qus : 20MCA NIMCET PYQ 2021

Choose the most suitable antonym of given word:

NEGLIGENCE

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 21MCA NIMCET PYQ 2021

Read the following passage carefully and answer the question that follow:

It is said with truth that the function of a university is to prepare the young to take their place in human society. It must provide Its members with the knowledge and skill necessary to make them efficient citizens. But is the whole duty of man exhausted by the acquisition of knowledge and professional training? Is a university only an institution for higher learning, a factory which churns out clerks and technicians able to run the machinery of the State? Mere knowledge which gratifies curiosity is different from culture which refines personality. Culture is not remembering a mass of serious details about the dates of birth of the great heroes of the world or the interesting names of the fastest ships which cross the Atlantic or entertaining odds and ends gathered from the latest who's who. A well-known institution of this country has for Its motto sa vidya yavimuchyate: that is, knowledge which is designed for salvation, for the development of the soul, is the best. Such an idea is not merely an Indian idiosyncrasy. Plato said long ago that the culture of soul is "the first and fairest thing that the best of men can ever have. According to Goethe, the object of education is to form tastes and not simply to communicate knowledge. A man's culture Is not judged by the amount of tabulated information which he has at his command, but by the quality of mind which he brings to bear on the facts of life. Education is not cramming the mind with a host of technical details, putting sight, as it were, into blind eyes. The eye of the soul Is never blind, only its gaze may be turned to the false and the fleeting. Too often the vision may be dragged downwards by the "leaden weights" of pride and prejudice, of passion and desire. The function of the teacher is not to add to the "leaden weights" but remove them and liberate the soul from the encumbrance so that it may follow its native impulse to soar upwards. The student at a university does not merely learn something, but becomes something by being exposed, in the most elastic period of his life, to transforming influences, such as the constant clash of mind with mind, the interchange of ideas, the testing of opinions, and the growth of knowledge of human nature.

Mere knowledge and culture may be distinguished from each other in that

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 22MCA NIMCET PYQ 2021

Read the following passage carefully and answer the question that follow:

What is the function of education according to the ancient Indian philosophers?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 23MCA NIMCET PYQ 2021

Read the following passage carefully and answer the question that follow:

What is meant by “leaden weights”.?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 24MCA NIMCET PYQ 2021

Read the following passage carefully and answer the question that follow:

The function of university is :

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 25MCA NIMCET PYQ 2021

Read the following passage carefully and answer the question that follow:

According to the passage, the function of the teacher is :

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 26MCA NIMCET PYQ 2021

Read the following passage carefully and answer the question that follow:

What are the hindering factors in the liberation and development of the soul?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 27MCA NIMCET PYQ 2021

Read the following passage carefully and answer the question that follow:

What is the object of education according to Goethe?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 28MCA NIMCET PYQ 2021

Read the following passage carefully and answer the question that follow:

What is the man’s culture judged by?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 29MCA NIMCET PYQ 2021

Write one word for the following:

One who does not save for future.

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 30MCA NIMCET PYQ 2021

Fill in the blank with the most appropriate word given in the options.

The child prefers rooms with _________ceilings.

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 31MCA NIMCET PYQ 2021

The area of the region bounded by x-axis and the curves defined by

$y=tanx$ ,

$-\frac{\pi}{3}\leq x\leq \frac{\pi}{3}$ and

$y=cotx$ ,

$-\frac{\pi}{6}\leq x\leq \frac{3\pi}{2}$ is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 32MCA NIMCET PYQ 2021

$\log (1-x+x^2)={{a}}_1x+{{a}}_{2{}^{{}^{}}}{x}^2+{{{}{{a}}_3{x}^3+.\ldots.}}^{}$ then

${{a}}_3+{{a}}_6+{{a}}_9+.\ldots.$ is equal to

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 33MCA NIMCET PYQ 2021

$\lim_{x\to \infty} (\frac{x+7}{x+2})^{x+5}$ equal to

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 34MCA NIMCET PYQ 2021

The number of common tangents to the circle

$x^2+y^2=4$ and

$x^2+y^2-6x-8y=24$ is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 35MCA NIMCET PYQ 2021

In a ΔABC, if

$\tan ^2\frac{A}{2}+\tan ^2\frac{B}{2}+\tan ^2\frac{C}{2}=k$ , then k is always

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 36MCA NIMCET PYQ 2021

Let

$\vec{a}=2\widehat{i}\, +\widehat{j}\, +2\widehat{k}$ ,

$\vec{b}=\widehat{i}-\widehat{j}+2\widehat{k}$ and

$\vec{c}=\widehat{i}+\widehat{j}-2\widehat{k}$ are are three vectors. Then, a vector in the plane of

$\vec{a}$ and

$\vec{c}$ whose projection on

$\vec{b}$ is of magnitude

$\frac{1}{\sqrt{6}}$ is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 37MCA NIMCET PYQ 2021

For what value of p, the polynomial

$x^4-3x^3+2px^2-6$ is exactly divisible by

$(x-1)$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 38MCA NIMCET PYQ 2021

$F(\theta)=\begin{bmatrix}{\cos \theta} & {-\sin \theta} & {0} \\ {\sin \theta} & {\cos \theta} & {0} \\ {0} & {0} & {1}\end{bmatrix}$ , then

$F(\theta)F(\alpha)$ is equal to

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 39MCA NIMCET PYQ 2021

$\frac{n!}{2!(n-2)!}$ and

$\frac{n!}{4!(n-4)!}$ are in the ratio 2:1, then the value of n is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 40MCA NIMCET PYQ 2021

The locus of the point of intersection of tangents to the ellipse

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ which meet right angles is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 41MCA NIMCET PYQ 2021

If the position vector of A and B relative to O be

$\widehat{i}\, -4\widehat{j}+3\widehat{k}$ and

$-\widehat{i}\, +2\widehat{j}-\widehat{k}$ respectively, then the median through O of ΔABC is:

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 42MCA NIMCET PYQ 2021

The general value of

$\theta$ , satisfying the equation

$\sin \theta=\frac{-1}{2},\, \tan \theta=\frac{1}{\sqrt[]{3}}$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 43MCA NIMCET PYQ 2021

The area of the triangle formed by the vertices whose position vectors are

$3\widehat{i}+\widehat{j}$ ,

$5\widehat{i}+2\widehat{j}+\widehat{k}$ ,

$\widehat{i}-2\widehat{j}+3\widehat{k}$ is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 44MCA NIMCET PYQ 2021

The standard deviation of 20 numbers is 30. If each of the numbers is increased by 4, then the new standard deviation will be

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 45MCA NIMCET PYQ 2021

The function

$f(x)=\frac{x}{1+x\tan x}$ ,

$0\leq x\leq\frac{\pi}{2}$ is maximum when

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 46MCA NIMCET PYQ 2021

$f\colon R\rightarrow R$ is defined by

$f(x)=\begin{cases}{\frac{x+2}{{x}^2+3x+2}} & {,\, if\, x\, \in R-\{-1,-2\}} \\ {-1} & {,if\, x=-2} \\ {0} & {,if\, x=-1}\end{cases}$ , then f(x) is continuous on the set

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 47MCA NIMCET PYQ 2021

A polygon has 44 diagonals, the number of sides are

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 48MCA NIMCET PYQ 2021

The probability of occurrence of two events E and F are 0.25 and 0.50, respectively. the probability of their simultaneous occurrence is 0.14. the probability that neither E nor F occur is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 49MCA NIMCET PYQ 2021

$y={\tan }^{-1}\lgroup{\frac{3x-{x}^3}{1-3{x}^2}}\rgroup\, ,\, \frac{-1}{\sqrt[]{3}}{\lt}x{\lt}\frac{1}{\sqrt[]{3}}$ then

$\frac{dy}{dx}$ is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Incorrect question

Qus : 50MCA NIMCET PYQ 2021

The value of

$\tan 9{^{\circ}}-\tan 27{^{\circ}}-\tan 63{^{\circ}}+\tan 81{^{\circ}}$ is equal to

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 51MCA NIMCET PYQ 2021

In a triangle, if the sum of two sides is x and their product is y such that (x+z)(x-z)=y, where z is the third side of the triangle , then triangle is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 52MCA NIMCET PYQ 2021

$H_1,H_2,\ldots,H_n$ are n harmonic means between a and b

$(b\ne a)$ ;,then

$\frac{{{H}}_n+a}{{{H}}_n-a}+\frac{{{H}}_n+b}{{{H}}_n-b}$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 53MCA NIMCET PYQ 2021

$y=\sin ^{-1}(\frac{{x}^2+1}{\sqrt[]{1+3{x}^2+{x}^4}}),\, (x>0),$ then

$\frac{dy}{dx}$ =

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 54MCA NIMCET PYQ 2021

$32\, \tan ^8\theta=2\cos ^2\alpha-3\cos \alpha$ and

$3\, \cos \, 2\theta=1$ , then the general value of

$\alpha$ =

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 55MCA NIMCET PYQ 2021

In a triangle ABC,

$a\cos ^2\frac{C}{2}+\, c\, \, {\cos }^2\frac{A}{2}=\frac{3b}{2}$ then the sides of the triangle are in

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 56MCA NIMCET PYQ 2021

If |k|=5 and 0° ≤ θ ≤ 360°, then the number of distinct solutions of 3cos⁡θ + 4sin⁡θ = k is

NIMCET 2021

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 57MCA NIMCET PYQ 2021

If θ is acute angle between the pair of lines

$x^2-7xy+12y^2=0$ , then

$\frac{2\cos \theta+3\sin \theta}{4\sin \theta+5\cos \theta}=$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 58MCA NIMCET PYQ 2021

The four geometric means between 2 and 64 are

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 59MCA NIMCET PYQ 2021

The lines

$px+qy=1$ and

$qx+py=1$ are respectively the sides AB, AC of the triangle ABC and the base BC is bisected at

$(p,q)$ . Equation of the median of the triangle through the vertex A is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 60MCA NIMCET PYQ 2021

If the vectors

$a\hat{i}+\hat{j}+\hat{k},\hat{i}+b\hat{j}+\hat{k},\hat{i}+\hat{j}+c\hat{k}$ ,

$(a,b,c\ne1)$ are coplanar, then

$\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 61MCA NIMCET PYQ 2021

Let

$\vec{a}=\hat{i}+\hat{j}$ and

$\vec{b}=2\hat{i}-\hat{k}$ , the point of intersection of the lines

$\vec{r}\times\vec{a}=\vec{b}\times\vec{a}$ and

$\vec{r}\times\vec{b}=\vec{a}\times\vec{b}$ is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 62MCA NIMCET PYQ 2021

If the system of equations

$3x-y+4z=3$ ,

$x+2y-3z=-2$ ,

$6x+5y+λz=-3$ has atleast one solution, then

$λ=$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 63MCA NIMCET PYQ 2021

If a variable takes values 0, 1, 2,…, 50 with frequencies

$1,\, {{50}}_{{{C}}_1},{{50}}_{{{C}}_2},\ldots..,{{50}}_{{{C}}_{50}}$ , then the AM is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 64MCA NIMCET PYQ 2021

If A={1,2,3,4} and B={3,4,5}, then the number of elements in (A∪B)×(A∩B)×(AΔB)

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 65MCA NIMCET PYQ 2021

If n is an integer between 0 to 21, then find a value of n for which the value of

$n!(21-n)!$ is minimum

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 66MCA NIMCET PYQ 2021

Suppose

$A_1,A_2,\ldots,A_{30}$ are 30 sets each with five elements and

$B_1,B_2,B_3,\ldots,B_n$ are n sets (each with three elements) such that

$\bigcup ^{30}_{i=1}{{A}}_i={{\bigcup }}^n_{j=1}{{B}}_i=S\,$ and each element of S belongs to exactly ten of the

$A_i$ 's and exactly 9 of the

$B^{\prime}_j$ 's. Then

$n=$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 67MCA NIMCET PYQ 2021

The eccentric angle of the extremities of latus-rectum of the ellipse

$\frac{{x}^2}{{a}^2}^{}+\frac{{y}^2}{{b}^2}^{}=1$ are given by

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 68MCA NIMCET PYQ 2021

If α≠β and

$\alpha^2=5\alpha-3,\beta^2=5\beta-3$ , then the equation whose roots are

$\frac{\alpha}{\beta}$ and

$\frac{\beta}{\alpha}$ is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 69MCA NIMCET PYQ 2021

The probability that a man who is x years old will die in a year is p. Then, amongst n persons

$A_1,A_2,\ldots A_n$ each x year old now, the probability that

${{A}}_1$ will die in one year and (be the first to die ) is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 70MCA NIMCET PYQ 2021

Angle between

$\vec{a}$ and

$\vec{b}$ is

$120{^{\circ}}$ . If

$|\vec{b}|=2|\vec{a}|$ and the vectors ,

$\vec{a}+x\vec{b}$ ,

$\vec{a}-\vec{b}$ are at right angle, then

$x=$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 71MCA NIMCET PYQ 2021

If a number x is selected at random from natural numbers 1,2,…,100, then the probability for

$x+\frac{100}{x}{\gt}29$ is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 72MCA NIMCET PYQ 2021

If X and Y are two sets, then X∩Y ' ∩ (X∪Y) ' is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 73MCA NIMCET PYQ 2021

$\int {e}^x(\sinh x+\cosh x)dx$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 74MCA NIMCET PYQ 2021

$\vec{e_1}=(1,1,1)$ and

$\vec{e_2}=(1,1,-1)$ and

$\vec{a}$ and

$\vec{b}$ and two vectors such that

$\vec{e_2}=\vec{a}+2\vec{b}$ , then angle between

$\vec{a}$ and

$\vec{b}$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 75MCA NIMCET PYQ 2021

If P(1,2), Q(4,6), R(5,7) and S(a,b) are the vertices of a parallelogram PQRS, then

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 76MCA NIMCET PYQ 2021

$a\, \cos \theta+b\, \sin \, \theta=2$ and

$a\, \sin \, \theta-b\, \cos \, \theta=3$ , then

${a}^{2^{}}+{b}^2=$

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 77MCA NIMCET PYQ 2021

If three thrown of three dice, the probability of throwing triplets not more than twice is

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 78MCA NIMCET PYQ 2021

$\int {3}^{{3}^{{3}^x}}.{3}^{{3}^x}.{3}^xdx$ is equal to

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 79MCA NIMCET PYQ 2021

There are 50 questions in a paper. Find the number of ways in which a student can attempt one or more questions :

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 80MCA NIMCET PYQ 2021

Consider the following frequency distribution table.

Class Interval	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	180	$f_1$	34	180	136	$f_2$	50

If the total frequency is 686 and the median is 42.6, then the value of

$f_1$ ;and

$f_2$ are

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 81MCA NIMCET PYQ 2021

Choose the word which has the same relationship among the given three words:

Yellow, Blue, Red

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 82MCA NIMCET PYQ 2021

A company produces five different products. The sales of these five products (in lakh number of packs) during 2005 and 2010 are shown in the following bar – graph. Question is based on this graph. Sales (in lakh number of packs) of five different products of a company during 2005-2010.

The sales of Products a in 2010 was by that percent more than the sales of Product B in 2010? (rounded off to the nearest integer)

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 83MCA NIMCET PYQ 2021

Choose the pair of number that comes next:

1 10 7 20 13 30 19

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 84MCA NIMCET PYQ 2021

Read the information given below and answer the following question:

In a family of six persons A,B,C,D,E and F, there are two married couples.
D Is grandmother of A and mother of B.
C is wife of B and mother of F.
F is the granddaughter of E.

Who among the following is one of the couples?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 85MCA NIMCET PYQ 2021

If Z = 52 and ACT = 48, then BAT will be equal to

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 86MCA NIMCET PYQ 2021

Read the information given below and answer the following question:

In a family of six persons A,B,C,D,E and F there are two married couples.
D Is grandmother of A and mother of B.
C is wife of B and mother of F.
F is the granddaughter of E.

Which of the following is true?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 87MCA NIMCET PYQ 2021

Read the information given below and answer the following question:

In a family of six persons A,B,C,D,E and F there are two married couples.
D Is grandmother of A and mother of B.
C is wife of B and mother of F.
F is the granddaughter of E.

What is C to A?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 88MCA NIMCET PYQ 2021

Find the matching term for Music : Guitar : Performer

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 89MCA NIMCET PYQ 2021

If 9 × 3 + 8 = 24, 10 × 2 + 7 = 35 and 80 × 40 + 3 = 6, then find the value of 12 × 4 + 3 = ?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 90MCA NIMCET PYQ 2021

Choose the missing term out of the given alternatives:

Q1F , S2E , U6D , W21C , ?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 91MCA NIMCET PYQ 2021

Study the following table carefully and answer the following question.

Subject (Full Marks 50)	40 and above	30 and above	20 and above	10 and above	0 and above
Physics	9	32	80	92	100
Chemistry	4	21	66	81	100
Aggregate	7	27	73	87	100

If it is known that at least 23 students were eligible for a Symposium on Chemistry, the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range:

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Since 66 students get 20 and above marks in Chemistry and out of these 21 students get 30 and above marks, therefore to select top 35 students in Chemistry, the qualifying marks should lie in the range 20-30.

Qus : 92MCA NIMCET PYQ 2021

In a certain code language, "do re me" means "he is late"; "fa me la" means "she is early" and "so ti do" means "he leaves soon". Which word in the language means 'late"?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 93MCA NIMCET PYQ 2021

Find the missing term 7 : 56 : : 9 : ?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 94MCA NIMCET PYQ 2021

In this series, looking at the letter pattern fill the blank in the middle of the series:ELFA, GLHA, IUA, _____ , MLNA

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 95MCA NIMCET PYQ 2021

Read the following Information carefully and then answer the following question:

$\psi$ Q means Pis mother of Q

ii. P

$\in$ Q means P is sister of Q

iii. P $ Q means P is father of Q

iv. P # Q means P is brother of Q

Which of the following means R is brother of T?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 96MCA NIMCET PYQ 2021

Choose the pair that best represents a similar relationship to the one expressed in the original pair of words:

WAITRESS : RESTAURANT

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 97MCA NIMCET PYQ 2021

COUNSEL is to BITIRAK, so also GUIDANCE is to _______ ?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 98MCA NIMCET PYQ 2021

Choose the number pair or group that is different from others?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 99MCA NIMCET PYQ 2021

If it is Saturday on January 1, 2000, then January 1, 2001 would have been

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 100MCA NIMCET PYQ 2021

Radha is twice as old as Rita was 2 years ago. If difference between their ages is 2 years, how old is Radha today?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 101MCA NIMCET PYQ 2021

How many times in a day are the hands of a clock pointing opposite to each other?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 102MCA NIMCET PYQ 2021

Study the following table carefully and answer the following question.

Subject (Full Marks 50)	40 and above	30 and above	20 and above	10 and above	0 and above
Physics	9	32	80	92	100
Chemistry	4	21	66	81	100
Aggregate	7	27	73	87	100

If it is known that at least 23 students were eligible for a Symposium on Chemistry, the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range:

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 103MCA NIMCET PYQ 2021

Study the following table carefully and answer the following question.

Subject (Full Marks 50)	40 and above	30 and above	20 and above	10 and above	0 and above
Physics	9	32	80	92	100
Chemistry	4	21	66	81	100
Aggregate	7	27	73	87	100

The number of students scoring less than 40% marks in aggregate is:

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 104MCA NIMCET PYQ 2021

Choose the missing term: BYCX : DWEV : : FUGT : ?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 105MCA NIMCET PYQ 2021

Read the information given below and answer the following question:

In a family of six persons A,B,C, D,E and F , there are two married couples.
D is grandmother of A and mother of B.
C is wife of B and mother of F.
F is the granddaughter of E.

How many male members are there in the family?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 106MCA NIMCET PYQ 2021

Read the following Information carefully and then answer the following question:

$\psi$ Q means P is mother of Q

ii. P

$\in$ Q means P is sister of Q

iii. P $ Q means P is father of Q

iv. P # Q means P is brother of Q

IfKψL∈M#N, , then how K is related with N?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 107MCA NIMCET PYQ 2021

Choose the correct option for the remainder when X = 1! + 2! + 3! + ...........+ 100! is divided by 24

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 108MCA NIMCET PYQ 2021

There are six members in a family. A is the father of D, E is the grandfather of D. B is the daughter-in-law of C. F is the uncle of D. What is the relationship of C with F?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 109MCA NIMCET PYQ 2021

Read the following Information carefully and then answer the following question:

$\psi$ Q means P is mother of Q

ii. P

$\in$ Q means P is sister of Q

iii. P $ Q means P is father of Q

iv. P # Q means P is brother of Q

Which of the following means N is definitely daughter of K

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 110MCA NIMCET PYQ 2021

Choose the word that is a necessary part of the underlined word: harvest

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 111MCA NIMCET PYQ 2021

Study the following table carefully and answer the following question.

Subject (Full Marks 50)	40 and above	30 and above	20 and above	10 and above	0 and above
Physics	9	32	80	92	100
Chemistry	4	21	66	81	100
Aggregate	7	27	73	87	100

What is the difference between the number of students passed with 30 as cut – off marks in chemistry and those passed with 30 as cut – off marks in aggregate?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 112MCA NIMCET PYQ 2021

During the period 2005-2010, the minimum rate of increase in sales is in the case of :

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 113MCA NIMCET PYQ 2021

Insert the missing number 8, 7, 11, 12, 14, 17, 17, 22, ?

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 114MCA NIMCET PYQ 2021

Choose the pair that best represents a similar relationship to the one expressed in the original pair of words:

PULSATE : THROB

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

Solution

Qus : 115MCA NIMCET PYQ 2021

In a class of 50 students, Raghu's rank is twice that of Paul. There are 10 students who have ranked worse than that of Raghu. Paul's rank in the class is:

1
2
3
4
Go to Discussion

MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ