Explanation

Given a + b + c = 9 and ab + bc + ca = 20

We know that (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Substituting the given values:

(9)² = a² + b² + c² + 2(20)

81 = a² + b² + c² + 40

Now, find a² + b² + c²:

a² + b² + c² = 81 - 40

= 41

Explanation

Work done is constant.

If 6 workers take 5 hours, total work = 6 × 5 = 30 worker-hours.

For 3 workers, time = 30 ÷ 3 = 10 hours.

Explanation

In an ecosystem, living things interact by competing, cooperating, and depending on each other for food, shelter, and survival.

These interactions form complex relationships like food chains and symbiosis.

Explanation

Let's denote the length of the tangent as l.

We know that the radius is perpendicular to the tangent at the point of contact.

Using the Pythagorean theorem:

l² = 10² - 6²

= 100 - 36

= 64

l = √64

= 8 cm

Explanation

اللہ تعالیٰ نے سورۃ الجمعہ (62:9) میں فرمایا ہے کہ جب نماز جمعہ کے لیے اذان دی جائے تو لوگ اللہ کی یاد کے لیے جلدی کریں اور کاروبار وغیرہ چھوڑ دیں۔

یہ حکم مسلمانوں کو نماز جمعہ کی اہمیت اور اس کے فوری اہتمام کے لیے دیا گیا ہے۔

Explanation

The break statement, when used inside a loop, immediately exits the loop and transfers control to the statement following the loop.

It does not terminate the entire program, only the current loop.

Explanation

Passage

Education is very necessary for every child, whether boy or girl. It helps a person study new things with skill and learn about the facts of the world. Education plays an important role in the protection of women's rights. It also helps to prevent discrimination based on gender. Education increases productivity in their work. An educated woman has skills, information, talent, and self-confidence that make her a better mother, employee, and resident of the country. Women constitute almost half of our population. Men and women are like two aspects of a coin. Thus, they need equal opportunities to contribute to the development of the country. Both cannot survive without each other.

1. An educated woman has skills, information, talent, and self-confidence that make her a better ______, employee, and resident of the country.

Mother

2. Education is a/an _____?

Noun

3. _____ helps to prevent discrimination based on gender.

Education

Explanation

Cyclones are formed when air moves from high-pressure to low-pressure areas, causing a rotating storm system.

This movement creates strong winds and often heavy rainfall, common in tropical regions.

Explanation

The term complementarity refers to the specific pairing of nitrogenous bases in DNA: Adenine pairs with Thymine, and Cytosine pairs with Guanine.

This rule ensures accurate DNA replication and structure.

Explanation

Let daughter's age be x → Iqra's age = 4x

After 12 years:

→ Daughter's age = x + 12, Iqra's age = 4x + 12

→ Total = (x + 12) + (4x + 12) = 5x + 24 = 69

→ 5x = 45 → x = 9

→ Iqra’s age = 4 × 9 = 36 years