Mathematics Problem Solving Quiz

The video tutorial covers three math problems. Problem 116 involves determining the value of a+b squared using two statements about a and b. Problem 117 focuses on finding the ratio of sides in a rectangle, while Problem 118 examines the divisibility of 150 by a positive integer n. The tutorial emphasizes the importance of combining information from different statements to solve problems effectively.

What is the value of (a + b)^2 if a * b = 0 and (a - b)^2 = 36?

• Cannot be determined

• 36

• 12

• 0

Which statement is necessary to solve the problem of finding (a + b)^2?

• Statement 2 alone

• Both statements together

• Statement 1 alone

• Neither statement

In the rectangle KLMN, what is the ratio of KN to MN if the three small rectangles have the same dimensions?

• 1:2

• 2:3

• 1:1

• 3:2

What does Statement 1 tell us about the perimeter of rectangle KLMN?

• It is 40 meters

• It is 30 meters

• It is 50 meters

• It is 20 meters

Which statement alone is sufficient to determine the ratio of KN to MN?

• Statement 1

• Both statements

• Neither statement

• Statement 2

If n is a positive integer, is 150/n an integer when n is less than 7?

• Cannot be determined

• No, for all n

• Yes, for all n

• Yes, except when n is 4

What does Statement 2 tell us about n in the problem of 150/n?

• n is less than 7

• n is a prime number

• n is greater than 7

• n is an even number

Which numbers less than 7 are prime and divide 150 evenly?

• 2 and 3

• 4 and 6

• 3 and 5

• 5 and 6

What is the conclusion when combining both statements about n in the problem of 150/n?

• n must be a prime number less than 7

• n must be 6

• n must be 4

• n must be greater than 7

Which of the following is true about the statements regarding 150/n?

• Both statements together are sufficient

• Neither statement is sufficient

• Statement 2 alone is sufficient

• Statement 1 alone is sufficient