Explanation

De Morgan's first law states that the complement of the union of two sets A and B is equal to the intersection of their complements.

The correct representation is:

(AUB)' = A' ∩ B'

Explanation

To divide fractions, we invert the second fraction and multiply:

1/5 ÷ 1/25 = 1/5 × 25/1

= 25/5

= 5

Explanation

Explanation

To solve (3/4)³:

(3/4)³ = (3/4) × (3/4) × (3/4)

= (3 × 3 × 3) / (4 × 4 × 4)

= 27 / 64

Explanation

The Arrhenius theory (1887) defines:

Acids: Substances that dissociate in water to produce H⁺ ions (protons), such as:

HCl → H⁺ + Cl⁻

Bases: Substances that dissociate in water to produce OH⁻ ions (hydroxide ions), such as:

NaOH → Na⁺ + OH⁻

Explanation

The Pakistan Super League (PSL) is Pakistan's premier professional Twenty20 cricket league, established in 2015.

It features franchise-based teams (e.g., Karachi Kings, Lahore Qalandars) and attracts international players.

Islamabad United made history as the inaugural PSL champions in 2016.

Explanation

The correct sentence should be:

"We have complained to them so many times about the noise at night."

Verb Form Error:

"Complaint" is a noun (e.g., "file a complaint").

The verb form should be "complained" (past participle of "complain") to match the present perfect tense ("have complained").

Explanation

"Shaked" is incorrect; the past tense of "shake" is "shook."

Corrected sentence: "Houses shook like leaves when the earthquake hit the region."

Explanation

Passage for Reading Comprehension: A rich man was on his deathbed. He told his sons to dig the ground under his cot and share the buried wealth among themselves after his death. When he died, the sons started digging. One of them found a vessel full of jewels and pearls, another a vessel full of gold and silver coins, the third one a vessel full of bones, and the last one a vessel full of dust. The last two quarrelled with the first two and said that the riches be shared equally among them. The first two did not accept the demand of the last two.

1. The underlined word “buried” means _____?

Hidden

2. Jewels and pearls are ______?

Precious stones

3. The words “bones” and “dust” are used as _______?

Symbols

4. The underlined word “riches” means ______?

Large amounts of money and valuable or beautiful possessions

5. The underlined word “vessel” means ______?

Strong container

Explanation