Explanation

• Digital computers use the binary number system to process data.
• It consists of only two digits: 0 and 1.
• These represent OFF (0) and ON (1) states in electronics.
• All data (text, images, numbers) is stored in binary form.
• It is the foundation of modern computing systems.

Last verified on 11-04-2026

Explanation

s² - 8s + 16 = 0  

Discriminant = b² - 4ac = (-8)² - 4(1)(16) = 64 - 64 = 0  

When D = 0, roots are Real and Equal.

Here: (s - 4)² = 0 → s = 4, 4  

Last verified on 12-04-2026

Explanation

Two quantities are in inverse proportion when one increases and the other decreases.

Their product always remains constant.

Common in real-life situations like speed & time.

If one doubles, the other becomes half.

It is also called indirect proportion.

Direct Proportion → Both increase or decrease together.

Last verified on 12-04-2026

Explanation

Each roll has 6 outcomes, so two rolls = 6 × 6 = 36 possible outcomes  

Last verified on 12-04-2026

Explanation

Let Milk = 3k, Wheat = 2k  

Wheat increases by 50%: new Wheat = 2k × 1.5 = 3k  

New ratio Milk : Wheat = 3k : 3k = 1 : 1  

Last verified on 12-04-2026

Explanation

500 minutes = 8 hours 20 minutes  

9:15 am + 8h 20m = 5:35 pm  

Last verified on 12-04-2026

Explanation

Surface area of a cube = 6 × (edge)²  

= 6 × 5² = 6 × 25 = 150  

Last verified on 12-04-2026

Explanation

The pattern: 60, 100, 140... increases by 40 each cabin.  

That’s an arithmetic sequence: a₁ = 60, d = 40  

16th term = 60 + (16-1)×40 = 60 + 600 = 660  

Last verified on 12-04-2026

Explanation

• The in-center is the point where all three internal angle bisectors of a triangle meet.
• It is always located inside the triangle.
• The in-center is the center of the incircle (circle inside the triangle).
• It is equally distant from all sides of the triangle.

Last verified on 12-04-2026

Explanation

Degree = sum of exponents on the variables.  

For 5x²yz: 2 + 1 + 1 = 4  

Last verified on 12-04-2026