यात्री कोटे की प्रतीक्षा सूची में है।

A useful way to chunk it is:

• यात्री
• कोटे की प्रतीक्षा सूची में
• है

So the last part, ... में है, is the standard Hindi pattern for is in / is on something.

One small warning: in travel and railway contexts, यात्री कोटा can sometimes be understood as a set phrase meaning passenger quota. So context decides whether यात्री stands alone as passenger, or whether it is part of a larger noun phrase.

यात्री can be either singular or plural in its basic direct form. Hindi has some nouns like this where the singular and plural look the same.

So context and the verb help you:

• यात्री ... है → singular
• यात्री ... हैं → plural

If यात्री is the subject in this sentence, है tells you it is singular here.

Because कोटा is a masculine noun ending in -ा, and those nouns usually change to -े in the oblique form.

Hindi uses the oblique form when a noun comes before a postposition or before a genitive marker such as का / की / के.

So:

• कोटा → basic form
• कोटे → oblique form

That is why you get कोटे की ...

The same pattern appears in many other words:

• लड़का → लड़के का
• कमरा → कमरे में

Because का / की / के agree with the noun that comes after them in the possession relationship, not with the noun before them.

Here, the important noun is सूची, which is feminine singular.

So:

• सूची is feminine singular
• therefore the genitive marker is की

That is why Hindi says कोटे की प्रतीक्षा सूची.

Even though कोटा is masculine, you still use की because सूची is feminine.

It is a compound noun:

• प्रतीक्षा = waiting
• सूची = list

Together, प्रतीक्षा सूची means waiting list.

This is a normal and fairly formal Hindi expression. In everyday modern speech, especially in booking or travel contexts, people also very often say वेटिंग लिस्ट.

Because Hindi and English do not match prepositions word for word.

Hindi naturally says:

• प्रतीक्षा सूची में है
  literally: is in the waiting list

But idiomatic English says:

• is on the waiting list

So this is just a normal language difference. When learning Hindi, it is best to remember सूची में, not try to force English on into it.

है is the present-tense form of to be for a singular subject.

Hindi often puts the verb at the end of the sentence, so this is completely normal word order.

If the subject were plural, you would usually get हैं instead:

• singular: ... है
• plural: ... हैं

So the sentence ends with है because the understood subject is singular.

Hindi does not have articles like a, an, and the.

So nouns such as यात्री, कोटा, and प्रतीक्षा सूची appear without any separate article word. Whether English should use a or the depends on context.

That means Hindi can say:

• यात्री ... है

and English may translate it as either:

• a passenger is ...
• the passenger is ...

depending on the situation.

This sounds fairly formal or official, especially because of प्रतीक्षा सूची.

In everyday travel conversation, many speakers would naturally use a mixed Hindi-English version such as:

• वेटिंग लिस्ट में है

That is very common in railway, airline, and booking contexts.

So:

• प्रतीक्षा सूची = more formal / official Hindi
• वेटिंग लिस्ट = very common in everyday speech

Both are understandable.