Mathematical Problem Solving

This video tutorial covers a series of math problems from an Olympiad test paper. It includes solving problems related to speed ratios of bikes and trains, calculating sums on a number line, finding the LCM of prime numbers, solving equations with multiple variables, and determining the area of circular objects. Each problem is explained step-by-step, providing a comprehensive understanding of the concepts involved.

What is the ratio of speeds between the two bikes mentioned in the problem?

• 5:6

• 2:3

• 3:4

• 4:5

If the first bike covers 160 km in 4 hours, what is its speed?

• 35 km/h

• 40 km/h

• 45 km/h

• 30 km/h

How far will the second bike travel in 3 hours?

• 160 km

• 180 km

• 120 km

• 140 km

What is the ratio of speeds between the two trains?

• 8:9

• 6:7

• 9:10

• 7:8

If the second train travels 400 km in 4 hours, what is its speed?

• 90 km/h

• 200 km/h

• 100 km/h

• 110 km/h

What is the speed of the first train?

• 90 km/h

• 95 km/h

• 87.5 km/h

• 92.5 km/h

What is the difference between the two given values on the number line?

• 50

• 60

• 80

• 70

What is the sum of the numbers X and Y on the number line?

• 6016960

• 6013960

• 6015960

• 6014960

What is the first odd prime number?

• 2

• 1

• 5

• 3

What is the only even prime number?

• 4

• 0

• 1

• 2