Explanation

We are asked to find the difference between the largest and smallest 4-digit number.

Step 1: Identify the numbers

Smallest 4-digit number = 1000

Largest 4-digit number = 9999

Step 2: Subtract

9999 − 1000 = 8999

Explanation

- Start time: 08:50

- Registration: 10 minutes → 08:50 + 10 min = 09:00

- 3 lessons × 55 minutes = 165 minutes → 09:00 + 165 min = 11:45

- Break: 15 minutes → 11:45 + 15 min = 12:00

- Lunch: 1 hour → 12:00 + 1 hour = 13:00

Explanation

Initially, the total weight of four boys is:

Total weight = Average weight * Number of boys

= 24 * 4

= 96 kg

When the fifth boy's weight is included, the new total weight is:

New total weight = New average weight * New number of boys

= 24.6 * 5

= 123 kg

The weight of the fifth boy is:

Weight of fifth boy = New total weight - Initial total weight

= 123 - 96

= 27 kg

Explanation

Given that A+B = 12 + B + C

=> A – C = 12 + B – B = 12

C is younger than A by 12 years.

Explanation

5.12 - 5.02 = 0.10

0.10 is the same as 0.1.

Explanation

The empty set ∅ has exactly one subset, which is itself (∅).

Explanation

Prime factorization:

30 = 2 × 3 × 5

24 = 2³ × 3

18 = 2 × 3²

Common factors: 2 × 3 = 6

HCF = 6

Explanation

To convert 2/5 to a percentage:

First, convert the fraction to a decimal:

2/5 = 2 ÷ 5 = 0.4

Now, convert the decimal to a percentage:

0.4 × 100% = 40%

Explanation

The angle sum of a triangle will always be equal to 180°.

The angle sum of a quadrilateral is equal to 360°

And a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral

Its angle measures should be half as well. Half of 360° is 180°

Explanation

Quickly describes how an action is performed (manner of action).

Adverbs of manner answer the question "how?" — e.g., He runs quickly.