Explanation

The intersection of two sets X and Y (X ∩ Y) is the set of elements that are common to both X and Y.

Given:

X = {2, 4, 6, 8}

Y = {1, 2, 3, 6}

The common elements are 2 and 6.

So, X ∩ Y = {2, 6}.

Explanation

The square root of 64 is 8, i.e. √64 = 8. 

Explanation

Explanation

Sentence Type Identification:

Imperative: The sentence gives a command or request ("Please open the window").

It starts with a verb (open) and often omits the subject (implied "You").

Explanation

Verb Identification:

"Drank" is the past tense of the verb "drink", indicating the action performed by the subject ("She").

Verbs express actions (e.g., drank, runs) or states (e.g., is).

Here, "drank" shows what she did.

Explanation

Verb Identification:

"Plays" is the action verb, showing what the subject (brother) does.

Verbs express actions (e.g., plays, runs) or states of being (e.g., is, seems).

Explanation

Subject Identification:

"They" is the subject of the sentence, as it performs the action (knew).

"Both" is an adjective modifying "they," emphasizing the duo.

The subject is who/what the sentence is about.

Here, "they" (the duo) knew each other.

Explanation

Preposition Identification:

"In" is a preposition showing the relationship between "got lost" and "the dark" (indicating the circumstance or environment).

Prepositions (e.g., in, on, at) link nouns/pronouns to other words in a sentence.

Explanation

"For a while" indicates a duration of time (how long the action continued).

Example: "I have been ringing the doorbell for a while."

"For" + time period = Duration (e.g., for hours, for days).

"Since" + specific time = Start point (e.g., since morning).

Explanation

"At the station": Indicates the location where they waited.

"For twenty minutes": Specifies the duration of waiting.

Use "at" for general locations (e.g., at the park, at home).

Use "for" to indicate duration (e.g., for hours, for days).