raisyuu no kayou ni atarasii arubaito no mensetu wo ukemasu.

A natural reading is:

らいしゅう の かよう に あたらしい アルバイト の めんせつ を うけます。

Breakdown:

• 来週 = next week
• の = links next week and Tuesday
• 火曜 = Tuesday
• に = on / at
• 新しい = new
• アルバイト = part-time job
• の = links part-time job and interview
• 面接 = interview
• を = marks the direct object
• 受けます = take / undergo

So the structure is basically:

[next week’s Tuesday] [on] [new part-time-job interview] [object marker] [will take]

In 来週の火曜, the の connects two nouns:

• 来週 = next week
• 火曜 = Tuesday

So 来週の火曜 means the Tuesday of next week, or more naturally in English, next Tuesday.

You can think of の here as showing a relationship like:

• A の B = B related to A

So:

• 来週の火曜 = Tuesday related to next week

This is a very common pattern in Japanese when one noun modifies another noun.

に marks a specific point in time.

Here, 火曜に means on Tuesday.

Japanese often uses に with specific times such as:

• 3時に = at 3 o’clock
• 月曜日に = on Monday
• 来年に = in/at next year — though this one is less common in natural speech and often omitted depending on the sentence

In this sentence, 来週の火曜に clearly sets the time when the action happens.

Because 来週 is not standing alone here. It is part of the noun phrase 来週の火曜.

So instead of:

• 来週 + particle

you have:

• 来週 の 火曜

Here, 来週 is modifying 火曜, so it does not need its own separate particle.

It means an interview for a new part-time job.

The important thing is that 新しい most naturally modifies アルバイト, not 面接.

So the phrase groups like this:

• 新しい アルバイト = a new part-time job
• 新しいアルバイト の 面接 = interview for a new part-time job

It does not normally mean:

• a new interview for a part-time job

If you wanted to clearly say a new interview, you would usually phrase it differently.

This の also connects two nouns:

• アルバイト = part-time job
• 面接 = interview

So アルバイトの面接 means:

• part-time job interview
• literally, interview of/for a part-time job

This use of の is extremely common in Japanese. It can show many kinds of relationships, such as:

• possession
• category
• purpose
• association

Here it shows what kind of interview it is.

Because 面接 is the direct object of 受けます.

The verb 受ける often means to take, to undergo, or to sit for something, such as:

• 試験を受ける = take an exam
• 授業を受ける = take/attend a class
• 面接を受ける = have / take an interview

So in this sentence:

• 面接を受けます = I will take / undergo an interview

The particle を marks the thing being taken or undergone.

Because in Japanese, 受ける is the normal verb used for things like:

• exams
• interviews
• lessons
• medical checkups
• services

It has the sense of undergoing or taking something.

So:

• 面接を受ける = to have an interview / to be interviewed

This is more natural in Japanese than trying to translate word-for-word from English.

Even though English often says have an interview or go to an interview, Japanese commonly says 面接を受ける.

Grammatically, 受けます is non-past polite form.

That means it can refer to:

• the present
• the future

In this sentence, the time expression 来週の火曜に makes it clearly future.

So 受けます here means:

• will take
• am going to take

This is very normal in Japanese. Japanese often uses the non-past form where English uses the future.

This sentence is in polite style because it ends with 受けます.

Compare:

• 受けます = polite
• 受ける = plain / casual

So:

• 来週の火曜に新しいアルバイトの面接を受けます。
  = polite, suitable in many normal situations

• 来週の火曜に新しいアルバイトの面接を受ける。
  = plain style, more casual

The rest of the sentence stays the same; the main politeness signal is the verb ending.

Yes. Both are correct.

• 火曜 = Tuesday
• 火曜日 = Tuesday

火曜 is a shortened form of 火曜日. It is very common and natural.

So these both work:

• 来週の火曜に
• 来週の火曜日に

The version with 火曜日 sounds a little fuller, but there is no big difference in meaning.

No. アルバイト usually means a part-time job or casual work.

It is often shortened to:

• バイト

So:

• アルバイト = part-time job
• バイト = casual shortened form

It does not usually mean a full-time career job. For a regular full-time job, Japanese would use words like:

• 仕事
• 就職
• 会社の仕事
  depending on context.

The given order is very natural:

• 来週の火曜に = time
• 新しいアルバイトの面接を = object
• 受けます = verb

Japanese usually puts the verb at the end.

You can sometimes move parts around for emphasis, as long as the particles stay correct. For example:

• 新しいアルバイトの面接を、来週の火曜に受けます。

This is still understandable, but the original sentence is the most neutral and natural.

So the most important thing is:

• the verb comes at the end
• particles show each word’s role

Sometimes time particles can be omitted in Japanese, but in this sentence に is very natural and clear.

For a specific day like 火曜, learners should usually keep に:

• 来週の火曜に面接を受けます。

You may hear native speakers omit time particles in casual speech sometimes, but that depends on context and style. As a learner, using に here is the safest and most standard choice.