Explanation

( ) is commonly referred to as Parenthesis.

But it is also known as Circled bracket or Curved brackets.

Explanation

1 is not a prime number because it has only one factor (1).

It’s also not composite because composite numbers have more than two factors.

Explanation

A number is a multiple of 5 if it ends in 0 or 5.

Among the given options, 735 ends in 5, so 5 is a factor of 735.

Explanation

• ${\mathrm{\prime }}^{}$ (U complement) represents the elements not in $U$.
• Since $U$ is the universal set, its complement is an empty set (∅).

Explanation

1 km = 0.62137119 miles

0.62137119 miles ∼ 0.62 miles

∴ 1 km = 0.62 miles

Additional Information

Miles to Kilometres = Miles × 8/5 (Approximately)

Kilometers to Miles = Km × 5/8 (Approximately)

Explanation

Four people live in a house.

There are 22 houses in one street.

To find the total number of people living in the street, multiply the number of people per house by the number of houses:

4 people/house × 22 houses = 88 people

So, 88 people live in the street.

Explanation

2x+ 5 = 15, find the value of "x" 

2x + 5 = 15 

2x = 15 - 5

2x = 10 

x = 10/ 2

x = 5

Explanation

A polygon having 8 sides is called octagon 

A polygon having 10 sides is called decagon

A polygon having 4 sides is called quadrilateral

Explanation

HCF = x - 2

LCM = x^3 + 3x^2 - 6x - 8

One polynomial = x^2 - x - 2 = (x - 2)(x + 1)

Factorize LCM:

x^3 + 3x^2 - 6x - 8 = (x - 2)(x^2 + 5x + 4) = (x - 2)(x + 1)(x + 4)

Using HCF × LCM = Product of polynomials:

(x - 2) × (x - 2)(x + 1)(x + 4) = (x - 2)(x + 1) × Second polynomial

Second polynomial = (x - 2)(x + 4) = x^2 + 2x - 8

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