Explanation

• He said, "Hurrah! Pakistan has won the Sahara Cup."
• The phrase "exclaimed with joy" suggests happiness or excitement, reflected by "Hurrah!" in direct speech.
• The past perfect tense in indirect speech ("had won") is converted to the present perfect ("has won") in direct speech.

Last verified on 07-05-2026

Explanation

• The Body of a formal letter contains the main message, purpose, or information.
• It is the most important part where the writer explains the subject in detail.
• A formal letter usually has clear and polite language.

Last verified on 07-05-2026

Explanation

• The phrase to spill the beans is an idiomatic expression.
• It means to reveal a secret or surprise, often accidentally or unintentionally.

Last verified on 03-04-2026

Explanation

• Mother prayed that I might succeed.
• The sentence shows a prayer/wish, so said changes into prayed in indirect narration.
• In indirect speech, may usually changes into might.
• “You” changes according to the listener, so it becomes I here.

Last verified on 07-05-2026

Explanation

• Under is a preposition because it shows relation of place (position below something).
• Example: The cat is under the table.
• Prepositions are words that link nouns/pronouns with other words in a sentence.

Last verified on 07-05-2026

Explanation

• "Wow!" expresses a sudden emotion or surprise, which makes it an interjection.
• Interjections are words used to express strong feelings or reactions, usually followed by an exclamation mark.

Last verified on 19-04-2026

Explanation

Make b the same in both ratios:  

a : b = 4 : 5 = 12 : 15

b : c = 3 : 2 = 15 : 10

So a : b : c = 12 : 15 : 10

Therefore a : c = 12 : 10 = 6 : 5

Last verified on 07-05-2026

Explanation

Mean = (3 + 5 + 7 + 9 + 11) / 5 = 35 / 5 = 7  

Last verified on 07-05-2026

Explanation

• From a point outside a circle, exactly two tangents can be drawn.
• These tangents touch the circle at two distinct points.
• Both tangents are equal in length from the external point.

Last verified on 07-06-2026

Explanation

This is a Pythagorean trig identity:  

sec²θ = 1 + tan²θ

So sec²θ - tan²θ = 1

Last verified on 07-05-2026