Explanation

In signal transmission, amplification is used to increase the signal strength to counteract attenuation (loss of signal over distance).

This helps maintain signal quality during long-distance transmission.

Explanation

The word "Hindu" is derived from the Sanskrit word "Sindhu," which referred to the Indus River.

Persians pronounced "Sindhu" as "Hindu," and it later came to describe the people living beyond the Indus.

Explanation

Animals are biotic components of the environment because they are living organisms.

Soil, Sun, Water, and Temperature are abiotic components as they are non-living factors that influence ecosystems.

Explanation

File Manager helps users manage files and folders (copy, move, delete, etc.).

It is a utility program that supports the operating system's functionality.

Explanation

Annual salary = Rs. 6000 × 12 = Rs. 72,000

Taxable income after rebate = Rs. 72,000 - Rs. 50,000 = Rs. 22,000

Income tax = 5% of Rs. 22,000 = Rs. 1100

Explanation

This is an inverse proportion problem: More students → Less time.

20 × 8 = x × 5 → x = (20 × 8) / 5 = 32 students.

Explanation

196/4 = 49 students per row.

49 * 11 = 539.

Explanation

To find the median, we need to arrange the data in order:

3, 6, 8, 9, 10, 12, 14, 14, 16

Since there are 9 numbers (an odd number), the median is the middle value, which is the 5th number:

The median is 10.

Explanation

Let's solve the equation:

2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

Expanding both sides:

2x - 4 - 5x + 25 = 4x - 32 - 2x + 4

Combine like terms:

-3x + 21 = 2x - 28

Add 3x to both sides:

21 = 5x - 28

Add 28 to both sides:

49 = 5x

Divide by 5:

x = 49/5

Explanation

A composite number is a positive integer that has at least one positive divisor other than 1 and itself.

Let's examine the numbers:

4: divisors are 1, 2, and 4 (composite)

9: divisors are 1, 3, and 9 (composite)

15: divisors are 1, 3, 5, and 15 (composite)

Since all numbers (4, 9, 15) have divisors other than 1 and themselves, they are composite numbers.

The group 4, 9, 15 consists entirely of composite numbers.