यह पुस्तकालय कार्ड नया है।

The sentence follows a very common Hindi pattern:

[this] [noun] [adjective] [is]

So here:

• यह = this
• पुस्तकालय कार्ड = library card
• नया = new
• है = is

Hindi usually puts the adjective before है, and the verb to be often comes at the end of the sentence.

यह is a demonstrative word meaning this. It usually comes before the noun it describes, just like in English:

• यह कार्ड = this card
• यह पुस्तक = this book

So यह पुस्तकालय कार्ड means this library card.

This is a noun phrase made of:

• पुस्तकालय = library
• कार्ड = card

Together, they mean library card.

Hindi often places nouns together like this to create a compound-like expression, especially when one noun describes the type or purpose of the other. So पुस्तकालय कार्ड is understood as a card for the library or library card.

कार्ड is a borrowed word from English card, written in Devanagari. Hindi uses many borrowed words, especially for everyday modern objects.

So even though कार्ड comes from English, it behaves like a normal Hindi noun in the sentence.

Because कार्ड is treated as a masculine singular noun in Hindi.

The adjective नया changes form to match the gender and number of the noun:

• नया = masculine singular
• नई = feminine singular
• नए = masculine plural, or masculine singular in some oblique contexts

Since कार्ड is masculine singular here, नया is the correct form.

With many Hindi nouns, especially borrowed words, gender simply has to be learned through usage. There is not always a clear rule.

For कार्ड, standard usage is generally masculine, which is why you get:

• यह कार्ड नया है।

If it were feminine, you would expect:

• यह ... नई है।

So the adjective form helps show the noun’s gender.

है means is. It is the present-tense singular form of the verb to be.

So:

• नया है = is new

In this sentence, है completes the statement. Without it, the sentence may sound incomplete in standard Hindi.

Hindi and English often organize sentences differently.

English:

• This library card is new.

Hindi:

• This library card new is.

That is normal Hindi word order. In simple sentences with to be, Hindi usually puts the descriptive word before है.

Hindi does not use articles in the same way English does. There is no direct equivalent of a or the in this sentence.

So यह पुस्तकालय कार्ड नया है can naturally be understood as:

• This library card is new

The definiteness is already clear because of यह meaning this.

In careful spelling-based reading, यह is often associated with yah, but in everyday modern Hindi pronunciation it is very commonly pronounced more like yeh.

So learners will often hear:

• यह → yeh

Both spellings and pronunciation explanations may appear in learning materials, but in normal speech yeh is very common.

In everyday speech, many speakers use ये instead of यह when speaking casually. However, in standard written Hindi:

• यह = this
• ये = these / sometimes this in colloquial speech

So for careful standard writing, यह पुस्तकालय कार्ड नया है is the better form.

You add नहीं before है:

• यह पुस्तकालय कार्ड नया नहीं है।
• This library card is not new.

That is the normal way to negate this kind of sentence.

A simple way is to add क्या at the beginning:

• क्या यह पुस्तकालय कार्ड नया है?
• Is this library card new?

You can also ask with questioning intonation in speech, but क्या is the standard clear way to form a yes/no question.

Yes. पुस्तकालय is a standard Hindi word for library, but in everyday speech many speakers also use लाइब्रेरी, borrowed from English.

So you may also hear:

• यह लाइब्रेरी कार्ड नया है।

That is very natural in modern spoken Hindi.

A common transliteration is:

yah pustakālay kārḍ nayā hai

In more natural everyday pronunciation, it may sound closer to:

yeh pustakalay card naya hai

Both are just ways to help learners read the Hindi sentence aloud.