Explanation

Compound interest (CI) is always more than simple interest (SI) when interest is calculated more than once or for multiple periods.

This is because CI earns interest on both principal and accumulated interest.

The difference between CI and SI increases with higher rates and longer time periods.

Explanation

1/3 of 1/2 of 90

= 1/3 × 1/2 × 90

= 1/6 × 90

= 15

Explanation

Total balls = 4 + 5 + 1 = 10

Red balls = 4

Probability = 4/10 = 2/5

Explanation

Numbers in order: 5, 7, 12, 18, 20

Middle value (3rd number) = 12

Explanation

SI = Principal × Rate × Time

= 1000 × 0.05 × 2

= 100

Explanation

Given:

Increment in number = 20% of the number

Decrement in number = 20% of the new number

Concept used:

Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100

Calculation:

Let the original number be 100

When the number is increased by 20%

New Number = 100 + 20% of 100

⇒ 100 + 20

⇒ 120

Now, the number is decreased by 20%

Final number = New number – 20% of new number

⇒ 120 – 20% of 120

⇒ 120 – 24

⇒ 96

∴ Net Decrease in percentage = { (100 – 96) / 100} × 100

⇒ {4/100} × 100

⇒ 4%

∴ The net decrease percentage is 4%

Explanation

Initial speed = 90 km/h

Final speed = 72 km/h

Decrease = 90 - 72 = 18 km/h

Percent decrease = (18/90) × 100% = 20%

Explanation

Vector data can result in large file sizes when representing highly detailed or complex geometries.

This can make storage and processing slower compared to simpler datasets.

Despite this, vector data is excellent for precise location and network analysis.

Explanation

GIS layering allows users to overlay multiple datasets (like roads, rivers, and land use) for spatial analysis.

Each layer represents a different type of geographic information.

Layering enables complex map creation and decision-making by combining various spatial data.

Explanation

A firewall is a security system that monitors and controls incoming and outgoing network traffic.

Its primary function is to prevent unauthorized access to or from a private network by filtering data based on security rules.