Explanation

Sum of both numbers  =  2XY

Number is = 2XY - X

Explanation

To find the L.C.M. of 12, 20, 24, and 32, we follow prime factorization:

12 = 2² × 3

20 = 2² × 5

24 = 2³ × 3

32 = 2⁵

Take the highest powers of all prime factors:

2⁵ (from 32)

3 (from 12 or 24)

5 (from 20)

Now multiply:

2⁵ × 3 × 5 = 32 × 3 × 5 = 96 × 5 = 480

Explanation

A compass is used for drawing circles and arcs.

It has a pointed end for the center and a pencil or pen for marking the circle.

Explanation

Explanation

In the number 6,985,621, the digit 2 is in the tens place.

Therefore, its place value is 2 × 10 = 20.

Explanation

0.030 has 3 significant figures because the leading zero is not counted, but the trailing zero after the decimal is significant.

Explanation

To convert (10101)₂ to decimal: = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

= 16 + 0 + 4 + 0 + 1

= 21

Explanation

Convert minutes to decimal: 15' ÷ 60 = 0.25

Convert seconds to decimal: 36" ÷ 3600 = 0.01

Add to degrees: 8 + 0.25 + 0.01 = 8.26

Explanation

In division, the quotient is the result of dividing one number by another.

Here, 30 ÷ 5 = 6, so the quotient is 6.

Explanation

Prime number: A prime number is a number that can be divided only by one and the number itself.

Example - 2, 3, 5, ..etc.

Formula used:

The arithmetic mean = Sum of all terms/ Number of terms

Calculation:

According to the question,

First 10 prime numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

The arithmetic mean = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29)/10

⇒ 129/10 = 12.9

The arithmetic mean of the first ten prime numbers is 12.9.