NIMCET 2026 Previous Year Questions (PYQs) – Page 9 of 12

From statement a:

All $Z$s are $Y$s.

From statement b:

No $Y$ is a $X$.

So, if all $Z$s are $Y$s and no $Y$ is a $X$, then no $Z$ can be a $X$.

Hence, conclusion II follows.

Now, statement c says:

Every $X$ is a $W$.

But there is no direct relation given between $Z$ and $W$.

So, conclusion I does not follow.

Therefore, only conclusion II follows.

Let the common radius be $r$.

Since hemisphere has height equal to its radius, common height is also $r$.

Volume of cylinder:

$\pi r^2h=\pi r^2(r)=\pi r^3$

Volume of cone:

$\frac{1}{3}\pi r^2h=\frac{1}{3}\pi r^3$

Volume of hemisphere:

$\frac{2}{3}\pi r^3$

So, the ratio is:

$\pi r^3:\frac{1}{3}\pi r^3:\frac{2}{3}\pi r^3$

$=1:\frac{1}{3}:\frac{2}{3}$

Multiplying by $3$,

$=3:1:2$

Therefore, the correct answer is option $2$.

The sequence is:

$72,69,66,\ldots$

This is an arithmetic progression with first term:

$a=72$

Common difference:

$d=-3$

The terms continue as long as they remain positive.

Last positive term will be $3$.

Now,

$a_n=3$

Using formula:

$a_n=a+(n-1)d$

$3=72+(n-1)(-3)$

$3=72-3n+3$

$3=75-3n$

$3n=72$

$n=24$

Now, sum of first $24$ terms is:

$S_n=\frac{n}{2}(a+l)$

$S_{24}=\frac{24}{2}(72+3)$

$S_{24}=12\times 75$

$S_{24}=900$

Observe the last row:

$9,\ 6,\ 5,\ 5$

Using the row-wise relation,

$\text{Required number}=(\text{first number}\times \text{third number})-(\text{second number}+\text{fourth number})$

So,

$?=(9\times 5)-(6+5)$

$?=45-11$

$?=34$

Initially, Vikram is facing West.

From West, left turn means South.
Then from South, right turn means West.
Then from West, right turn means North.
Then from North, left turn means West.
Finally, from West, right turn means North.

So, at the end, he is facing North.

Using the given conditions, Devika is fixed as the Operations analyst.

Bhavesh must sit between Devika and the Strategy analyst.

Also, Arjun cannot be Finance or HR, and the Strategy analyst is not Farah.

Farah sits second to the right of the Analytics analyst.

After arranging all persons and domains according to these conditions, the Finance analyst comes third to the left of Arjun.

The person at that position is Farah.

Therefore, Farah is the Finance analyst.

Let the contributions of $X,Y,W,Z$ be $x,y,w,z$ lakhs respectively.

Given,

$x+y+w+z=84$ .....$(1)$

Also,

$y+w+z=3x$ .....$(2)$

$x+w+z=320%$ of $y$

$x+w+z=\frac{320}{100}y$

$x+w+z=\frac{16}{5}y$ .....$(3)$

Also,

$w=20%$ of $(x+y+z)$

$w=\frac{1}{5}(x+y+z)$ .....$(4)$

From equation $(1)$ and $(2)$:

$84-x=3x$

$4x=84$

$x=21$

From equation $(1)$ and $(3)$:

$84-y=\frac{16}{5}y$

$420-5y=16y$

$21y=420$

$y=20$

From equation $(4)$:

$w=\frac{1}{5}(21+20+z)$

$5w=41+z$ .....$(5)$

Now using total:

$21+20+w+z=84$

$w+z=43$ .....$(6)$

From $(6)$,

$z=43-w$

Put in $(5)$:

$5w=41+43-w$

$5w=84-w$

$6w=84$

$w=14$

Now,

$z=43-14$

$z=29$

Therefore, the contribution of $Z$ is Rs $29$ lakhs.

Let the original price be $100$.

After $16%$ increase, new price becomes:

$100+16=116$

To keep expenditure same, consumption should be reduced.

Required percentage reduction is:

$\frac{\text{Increase}}{\text{New Price}}\times 100$

$=\frac{16}{116}\times 100$

$=13.7931%$

Rounded to two decimals,

$=13.79%$

Therefore, the correct answer is option $1$.

We calculate protein and fat for each option.

Option $1$: $200$ grams of $B$ and $200$ grams of $C$

Protein $=10%$ of $200+20%$ of $200$

$=20+40=60$ grams

Fat $=30%$ of $200+10%$ of $200$

$=60+20=80$ grams

Option $2$: $150$ grams of $A$ and $200$ grams of $B$

Protein $=20%$ of $150+10%$ of $200$

$=30+20=50$ grams

Fat $=40%$ of $150+30%$ of $200$

$=60+60=120$ grams

Option $3$: $350$ grams of $C$

Protein $=20%$ of $350$

$=70$ grams

Fat $=10%$ of $350$

$=35$ grams

Option $4$: $100$ grams of $A$ and $250$ grams of $C$

Protein $=20%$ of $100+20%$ of $250$

$=20+50=70$ grams

Fat $=40%$ of $100+10%$ of $250$

$=40+25=65$ grams

Options $3$ and $4$ give the highest protein, that is $70$ grams.

But option $3$ has lower fat.

Therefore, Ranveer should choose $350$ grams of $C$.

Given rule:

At Crossroads, a member can spend maximum $1$ hour in the meditation hall.

But Shailaja has been in a meditation hall for at least $1.5$ hours.

So, if she is at Crossroads, then she is violating the rule.

Therefore, if she is not violating the rule, then she must not be meditating at Crossroads.