Explanation

Let's Arman's age = x, Riaz's age = x + 5

Four years later:

Arman = x + 4, Riaz = x + 5 + 4 = x + 9

x + 9 = 2(x + 4)

x + 9 = 2x + 8

x = 1

Riaz's age = x + 5 = 1 + 5 = 6 years

Last verified on 15-03-2026

Explanation

Let's breadth = x, length = 2x

Perimeter = 2(length + breadth)

72 = 2(2x + x)

72 = 6x

x = 12

Breadth = 12 m

Length = 2x = 24 m

Last verified on 15-03-2026

Explanation

Let's say the smaller number is x. Then, the larger number is x + 9.

x + (x + 9) = 25

2x + 9 = 25

2x = 16

x = 8

Numbers are 8 and 17

Last verified on 15-03-2026

Explanation

Converting to decimals:

1/2 = 0.5

3/4 = 0.75

2/5 = 0.4

Lowest is 2/5

Last verified on 15-03-2026

Explanation

Teddy bears sold = (2/3) × 120 = 80

Amount received = 80 × 12 = 960

Last verified on 15-03-2026

Explanation

3/5 of total children = girls

3/5 × Total = 24

Total = 24 × (5/3)

Total = 40

Last verified on 15-03-2026

Explanation

Roman Numerals Conversion of 1947:

M = 1000

CM = 900

XL = 40

VII = 7

Total = 1000 + 900 + 40 + 7 = 1947 → MCMXLVII

Last verified on 15-03-2026

Explanation

Roman numerals are a number system from ancient Rome using letters to represent values.

Used historically for dates, clocks, and numbering lists.

There are 7 main symbols in Roman numerals:

1. I = 1
2. V = 5
3. X = 10
4. L = 50
5. C = 100
6. D = 500
7. M = 1000

Last verified on 15-03-2026

Explanation

• A solar day is the time taken by the Earth to complete one full rotation on its axis relative to the Sun.
• Length of a solar day = 24 hours = 1,440 minutes
• Length of a sidereal day = 23 hours 56 minutes 4 seconds
• Earth rotates approximately 360° relative to the Sun in a solar day
• Lunar day = ~24 hours 50 minutes (Moon’s rotation relative to Sun)

Last verified on 15-03-2026

Explanation

• Momentum (p) = Mass × Velocity
• A heavier object (like a car) usually has more momentum at the same speed.
• A lighter object (like a bullet) can have more momentum if its velocity is extremely high.

Examples

• Car: Mass = 1000 kg, Speed = 20 m/s → p = 20,000 kg·m/s
• Bullet: Mass = 0.01 kg, Speed = 800 m/s → p = 8 kg·m/s
• Motorcycle: Mass = 200 kg, Speed = 30 m/s → p = 6,000 kg·m/s

Last verified on 15-03-2026