Mathematical Concepts and Problem Solving

The video tutorial covers a range of mathematical problems, including identifying patterned numbers, analyzing sequences, calculating units digits of large powers, determining the number of faces in pyramids, and solving problems on the Cartesian plane. It also delves into functions, relations, and solving linear equations and systems. The tutorial concludes with a practical problem involving calculating parking fees based on vehicle counts.

Which of the following sequences does not follow a pattern?

• 2, 5, 8, 11

• 3, 6, 9, 12

• 4, 7, 10, 13

• 5, 8, 12, 15

What is the next number in the sequence: 1, 4, 7, 10?

• 14

• 13

• 12

• 15

What is the unit digit of 7 raised to the power of 2021?

• 7

• 3

• 9

• 1

How many sides does a pyramid with a hexagonal base have?

• 7

• 9

• 6

• 8

What is the distance of point C from the y-axis if its coordinates are (12, 5)?

• 5

• 7

• 10

• 12

Which point lies on the positive x-axis?

• (-5, 0)

• (0, 5)

• (0, -5)

• (5, 0)

What is the value of 'a' if point P(a, -4) is 2 units to the right of the y-axis?

• 2

• -2

• 4

• -4

If f(x) = 5x + 4, what is f(5)?

• 29

• 30

• 25

• 24

What is the solution to the system of equations: 3x + y = -2 and -2x + 3y = 5?

• x = -2, y = 2

• x = 2, y = -2

• x = 1, y = -1

• x = -1, y = 1

How much money does the parking attendant collect if there are 58 motorcycles and 26 cars?

• 130,000

• 120,000

• 110,000

• 100,000