NIMCET 2026 Previous Year Questions (PYQs) – Page 2 of 12
Study Stuff for MCA Examinations
Solution
First convert both binary numbers into decimal.
$1100_2=12$
$1011_2=11$
Now multiply:
$12\times 11=132$
Convert $132$ into binary:
$132=128+4$
$128=2^7$ and $4=2^2$
So,
$132=10000100_2$
Therefore,
$1100_2\times 1011_2=10000100_2$
Solution
Given expression is
$(x+y'+z')(x+y'+z)(x+y+z')$
Using the identity
$(x+A)(x+B)=x+AB$
First take
$(x+y'+z')(x+y'+z)$
Here,
$A=y'+z'$ and $B=y'+z$
So,
$(x+y'+z')(x+y'+z)=x+(y'+z')(y'+z)$
Now,
$(y'+z')(y'+z)=y'+z'z$
Since
$z'z=0$
So,
$(y'+z')(y'+z)=y'$
Now the expression becomes
$(x+y')(x+y+z')$
Again using the identity,
$(x+A)(x+B)=x+AB$
Here,
$A=y'$ and $B=y+z'$
So,
$(x+y')(x+y+z')=x+y'(y+z')$
$=x+y'y+y'z'$
Since
$y'y=0$
So,
$=x+y'z'$
Therefore, the simplified value is
$x+y'z'$
Choose the sentence(s) that demonstrate correct subject-verb agreement:
I. Neither the principal investigator nor the associates was available for comment.
II. A series of workshops on research ethics are scheduled for next month.
III. The majority of the manuscript has been revised.
IV. Each of the participants were given an informed consent form.
Solution
How many of the following sentences use the phrasal verbs correctly?
I. The researchers carried out the experiment as planned.
II. The journal turned down the paper due to methodological flaws.
III. The student came across a rare primary source in the archives.
IV. The professor called off the lecture owing to illness.
Solution
All four phrasal verbs are used correctly:
- carried out = performed
- turned down = rejected
- came across = found by chance
- called off = cancelled
So all $4$ sentences are correct.
Match the following:
| Verb | Noun |
| 1. conduct | A. a theory |
| 2. refute | B. a study |
| 3. propose | C. data |
| 4. analyze | D. an argument |
Solution
- We conduct a study. So $1 \to B$
- We refute an argument. So $2 \to D$
- We propose a theory. So $3 \to A$
- We analyze data. So $4 \to C$
Thus the correct matching is:
$1\to B,\ 2\to D,\ 3\to A,\ 4\to C$
Select the sentence that logically completes the following passage:
“Qualitative research often prioritises depth over breadth. Unlike large-scale surveys that aim for statistical generalisability, ethnographic studies typically focus on a small number of cases. _____”
Solution
The passage says that qualitative research focuses on depth and on a small number of cases. This means its strength is detailed understanding and context.
- Option 1 is incorrect because qualitative studies usually do not require larger sample sizes.
- Option 2 is incorrect because qualitative findings can still be influenced by researcher bias.
- Option 4 is incorrect because qualitative research is often more time-consuming.
- Option 3 logically follows from the idea of depth and contextual understanding.
In the sentence “Brevity is the soul of wit,” the word “brevity” means:
Solution
The word brevity means shortness or conciseness in speech or writing.
So in the sentence, brevity means conciseness.
Select the sentence that correctly expresses the sequence of past events.
Solution
To show two actions in the past, where one happened before the other, we use:
- Simple past for the later action
- Past perfect for the earlier action
Here:
- First, the exhibit had deteriorated
- Then, the curator replaced it
So the correct sentence is:
The curator replaced the exhibit after it had deteriorated.
Identify the underlined phrase in each sentence and match it with its correct type.
| Column A | Column B |
|---|---|
| A. The heavy grocery bag slipped from her hand in the kitchen. | (i) Noun Phrase |
| B. He finished his breakfast quite quickly before leaving for office. | (ii) Adjectival Phrase |
| C. The spare keys under the doormat are useful in emergencies. | (iii) Adverbial Phrase |
| D. She felt a bit nervous while waiting for her interview results. | (iv) Prepositional Phrase |
Solution
In sentence A, heavy grocery bag works as a noun phrase because it names the thing that slipped.
So,
A $\to$ (i)
In sentence B, quite quickly modifies the verb “finished”, so it is an adverbial phrase.
So,
B $\to$ (iii)
In sentence C, under the doormat begins with the preposition “under”, so it is a prepositional phrase.
So,
C $\to$ (iv)
In sentence D, a bit nervous describes the subject “She”, so it is an adjectival phrase.
So,
D $\to$ (ii)
Therefore, the correct matching is:
a-(i), b-(iii), c-(iv), d-(ii)
The term "Climate change" denotes significant, long-term changes in global temperatures and meteorological patterns. Such changes can occur due to natural factors such as changes in the sun's activity and large volcanic eruptions. However, since the Industrial Revolution, anthropogenic activities—specifically the combustion of fossil fuels such as coal, oil and gas—have been the prime causes of climatic shifts.
Which of the following is closest in meaning to the underlined word "anthropogenic" in the text above?
Solution
The word anthropogenic means caused by human activities.
In the passage, anthropogenic activities are explained as the combustion of fossil fuels such as coal, oil and gas after the Industrial Revolution.
These are human-caused activities.
So, the closest meaning of anthropogenic is human-induced.
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