इस कोटे में सीट की उपलब्धता कम है।

Because में requires the noun before it to be in the oblique case.

• यह कोटा = this quota (direct form)
• इस कोटे में = in this quota (oblique form + postposition)

In Hindi, postpositions such as में, पर, से, and को usually make the noun/pronoun before them change form.

So:

• यह → इस
• कोटा → कोटे

That is why यह कोटा में sounds wrong, while इस कोटे में is correct.

This is the normal oblique singular pattern for many masculine nouns ending in -ा.

• direct singular: कोटा
• oblique singular: कोटे

This happens when the noun is followed by a postposition:

• कोटा = quota
• कोटे में = in the quota
• कोटे से = from the quota
• कोटे का = of the quota

The same pattern appears in words like:

• लड़का → लड़के में / लड़के का
• कमरा → कमरे में / कमरे का

में usually means in, inside, or sometimes within / under, depending on context.

In इस कोटे में, it does not mean literal physical location. It means something more like:

• in this quota
• under this quota
• within this quota/category

So the sentence is talking about seat availability within that quota/category, not physically inside something.

सीट की उपलब्धता means availability of seats or more literally the availability of seat(s).

Structure:

• सीट = seat
• की = of
• उपलब्धता = availability

So the phrase is a possessive/genitive construction: X की Y = Y of X.

Here, Hindi is packaging the idea as seat availability rather than saying something more directly like there are few seats.

Because का / की / के agrees with the noun that comes after it, not the noun before it.

Here the noun after it is उपलब्धता, which is feminine singular. So the correct form is की.

• सीट की उपलब्धता
• not सीट का उपलब्धता
• not सीट के उपलब्धता

This is an important Hindi pattern:

• राम का घर — घर is masculine singular
• राम की किताब — किताब is feminine singular
• राम के दोस्त — दोस्त is plural

So in your sentence, की matches उपलब्धता.

Good question. Hindi often uses a singular noun in this kind of abstract phrase, especially when talking about a category or concept.

So सीट की उपलब्धता can naturally mean:

• seat availability
• availability of seats

You may also hear plural-based versions in other contexts, such as सीटों की उपलब्धता, which is also understandable and can sound more explicitly plural.

But सीट की उपलब्धता is a common compact way of expressing the general idea of seat availability.

उपलब्धता means availability.

It is a fairly formal and standard noun, often used in official, administrative, academic, or informational language.

Examples:

• पानी की उपलब्धता = availability of water
• डॉक्टरों की उपलब्धता = availability of doctors
• सीट की उपलब्धता = seat availability

In everyday speech, people might sometimes use simpler wording instead, but उपलब्धता is very common in notices, forms, admissions, booking contexts, and announcements.

Because the subject here is उपलब्धता, which is singular.

The core statement is:

• उपलब्धता कम है = availability is low

Since उपलब्धता is singular, the verb is है, not हैं.

If the subject were plural, then हैं would be used.

For example:

• सीटें कम हैं = seats are few
• उपलब्धता कम है = availability is low

No, कम does not change here.

In this sentence, कम works like an adjective meaning low / less / few, and it stays the same:

• उपलब्धता कम है
• सीटें कम हैं
• पानी कम है

Unlike adjectives such as अच्छा / अच्छी / अच्छे, कम is generally invariable in this kind of use.

Literally, कम often means less or fewer, but in natural English this sentence is best understood as:

• Seat availability is low in this quota
• There are few seats available in this quota

So yes, a very literal gloss might feel like availability is less, but the natural sense is availability is low.

Yes. This sentence is a bit formal because of उपलब्धता.

Some simpler alternatives are:

• इस कोटे में सीटें कम हैं।
  There are few seats in this quota.

• इस कोटे में कम सीटें उपलब्ध हैं।
  Few seats are available in this quota.

• इस कोटे में सीट मिलना मुश्किल है।
  Getting a seat in this quota is difficult.

Your original sentence is perfectly correct, but it sounds more formal or administrative.

Hindi word order is flexible, but the beginning of the sentence often sets the context first.

So:

• इस कोटे में सीट की उपलब्धता कम है।

first tells us the domain: in this quota, and then gives the information: seat availability is low.

This is very natural in Hindi. You could rearrange it somewhat, but the given order is the most straightforward and natural for formal statements.

कोटा is a borrowed word, ultimately from English quota, but it is very common in modern Hindi, especially in contexts like:

• admissions
• reservations
• government categories
• seat allocation
• recruitment

So even though it is not an old native Hindi word, it is fully normal in contemporary usage.

A useful way to see it is:

• इस कोटे में = in this quota
• सीट की उपलब्धता = seat availability
• कम है = is low

So the sentence structure is basically:

[location/context] + [subject noun phrase] + [predicate]

or:

In this quota + seat availability + is low

That makes it easier to understand as a complete Hindi sentence rather than word-by-word.