Explanation

Explanation

5 masons can build a house in 120 days.

This means the total work required to build the house is:

5 masons × 120 days = 600 mason-days

To build the same house in 75 days, the total work required remains the same (600 mason-days).

Let's divide the total work by the new timeframe:

600 mason-days ÷ 75 days = 8 masons

Explanation

The area of a rectangle is length × width:

Area = length × width

16 = 8 × width

Divide both sides by 8:

width = 2

The perimeter of a rectangle is 2 × (length + width):

Perimeter = 2 × (8 + 2)

= 2 × 10

= 20

Explanation

The probability of any event is always a value between 0 and 1, inclusive.

• 0 means the event is impossible.
• 1 means the event is certain

Explanation

Negative integers are all numbers less than 0 (e.g., -1, -2, -3, ...).

They lie to the left of zero on the number line.

Explanation

Step 1: Convert centimeters to meters

Since 1 meter = 100 centimeters, to convert centimeters to meters, we divide by 100.

Step 2: Calculate the length in meters

Length in meters = 250 cm / 100 = 2.5 m.

Explanation

To find the greatest number that divides 36, 44, and 52 completely, we need to find their Highest Common Factor (HCF).

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 44: 1, 2, 4, 11, 22, 44

Factors of 52: 1, 2, 4, 13, 26, 52

The greatest common factor is 4.

Explanation

Given the surface area of a sphere = 81π

The formula for surface area of a sphere is:

4πr² = 81π

Divide both sides by 4π:

r² = 81/4

r² = 20.25

r = √20.25

r = 4.5 m

Explanation

Universal set (U) = {1, 2, 3, 4, 5, 6}

Set A = {2, 3}

Complement of A means all elements in U that are not in A → {1, 4, 5, 6}

Explanation

The fourth root of 256 is:

⁴√256 = ⁴√(4^4) = 4