Explanation

• Distance to school = 2 km

• Speed = 4 km/h

• Time = ?

Step 1: Use the formula

Time=Distance​.Speed=2/4​=0.5 hours

Step 2: Convert 0.5 hours to minutes

$$0.5 times 60 = 30 text{ minutes}$$

Explanation

A.M = (a + b) / 2

Here,  

a = √5 + 4  

b = √5 − 4

Now add:  

(√5 + 4) + (√5 − 4) = 2√5

Now divide by 2:  

A.M = 2√5 / 2 = √5

Explanation

Customs and traditions are deeply rooted in a society's history, beliefs, and practices.

They serve as a way to transmit cultural values, knowledge, and history from one generation to the next.

They also contribute to a sense of belonging, community, and identity.

Following traditions and customs helps people connect to their roots and maintain a continuity of culture

Explanation

Deduction –  Reasoning from general principles to a specific conclusion

 This is a classic example of deductive reasoning, specifically a syllogism.

It demonstrates how a conclusion can be logically derived from two premises

Explanation

[−73^7]^6 = 7x

First, simplify the left-hand side:  

= (−73^7)^6  

= −73^(7×6) = −73^42  

So:

−73^42 = 7x  

Now solve for x:  

x = (−73^42) / 7

Explanation

Fill in the blanks (05 Marks)

1. British occupied Punjab in 1849

2. Iqbal’s Tomb was built in 1951

3. First Pakistani coin launched in 1948

4. CPEC agreement signed in 2013 and officially launched in 2015

5. 18th Amendment of the 1973 Constitution introduced in 2010

Explanation

A complex cube root of unity is a complex number $omega$ such that:

$$omega^3 = 1,quad omega neq 1$$

So:

$$$$ω3=1omega^3 = 1

Explanation

Entrepreneurs are individuals who:

• Start and run their own businesses
• Take financia risks in the hope of making a profit
• Innovate by creating new products, services, or ways of doing things
• Often solve problems and bring new ideas to life

Explanation

Step 1: Rule for divisibility by 5

A number is divisible by 5 if and only if it ends in 0 or 5.
But 0 is not among the given digits, so the last digit must be 5.

Step 2: Fix the last digit as 5

So, we fix 5 as the last digit.

Now we must choose the remaining 4 digits (from the remaining digits: 2, 3, 7, 9)
These will go in the first 4 places.

• Number of ways to arrange 4 digits out of 4 = 4! = 24

Explanation