Explanation

The set-builder form A = {x | x ∈ ℤ ∧ x² = 25} means x is an integer whose square is 25.

The integers satisfying this are x = -5 and x = 5, so A = {-5, 5}.

Explanation

Natural numbers are counting numbers starting from 1, 2, 3, 4...

Explanation

5/2 is a real number (a rational number), as it can be written as a finite decimal (2.5).

Explanation

In the client/server model, one computer (server) provides services or resources to another (client).

This is a common architecture in networks and distributed systems.

Explanation

The Recycle Bin temporarily stores deleted files so users can restore them if needed.

It acts as a safety net before permanent deletion.

Explanation

The charges of Proton, Electron, Neutron respectively are:

• Proton: Positive charge (+1)
• Electron: Negative charge (-1)
• Neutron: Neutral charge (0)

Explanation

Let's find the square numbers between 63 and 143:

8² = 64 (since 8² = 64 > 63)

9² = 81

10² = 100

11² = 121

The next square number would be 12² = 144, which is greater than 143, so we stop at 11².

Now, let's calculate the sum:

64 + 81 + 100 + 121 = 366

Explanation

Loga (m × n) = Loga m + Loga n.

This is a logarithmic property: the log of a product is the sum of the logs.

Explanation

Early means ابتدائی

Initial means ابتدائی

Explanation

Passage for Reading & Comprehension:

With the advent of the internet, the world has become a global village. The interactive websites and applications enable users to create and share information, videos, and original thoughts and ideas. But, more than anything else, social media has revolutionized communication and community. Hence, the speed at which social media users are rising is surprising. However, while social media has numerous advantages, like any other invention, it has disadvantages.

To begin with, social media has changed the concept of community by opening up countless avenues for users to connect with the larger community. Through this virtual medium, the community is no longer our immediate community; it has expanded to include the entire world. People in one part of the globe can actively engage with others across the globe. Also, it has opened new opportunities for students and professionals, who can easily interact with their counterparts in any part of the world and exchange views on matters of mutual interest. Students can also easily interact with educators and researchers in any part of the world and gain from their knowledge and wisdom.

1. The similar meaning of the word 'advent' is?

Arrival means آمد

Advent means آمد

2. The similar meaning of the word 'counterpart' is?

Equal means برابر

Counterpart means ہم منصب

3. The similar meaning of the word 'interactive' is?

Connected means منسلک

Interactive means منسلک

4. The opposite meaning of the word 'surprising' is?

Expected means توقع کی گئی

Surprising means حیرت کی بات

5. The opposite meaning of the word 'countless' is?

Limited means محدود

Countless means ان گنت

6. With the advent of the internet, the world has become a global ______?

Village

7. The interactive websites and applications enable users to share ______?

Information

8. Social media has revolutionized the concept of communication and _______?

Community

9. Another name for social media is _______?

Virtual medium

10. People in one part of the globe can actively engaged with others across the _____?

Globe