Divisibility and Ratios in Mathematics

The video tutorial covers three math problems. Problem 161 involves finding a valid value for n/25 when n is divisible by 25 and its square root is greater than 25. Problem 162 focuses on solving a fraction operation involving 1/1, 1/2, and 1/3. Problem 163 deals with a fruit salad mixture and requires calculating the difference in weight between apples and grapes using given ratios. The tutorial demonstrates mathematical manipulation and problem-solving techniques.

If n is a positive integer divisible by 25 and the square root of n is greater than 25, what is a possible value for n/25?

• 20

• 24

• 26

• 30

If n is divisible by 25 and n/25 is greater than 25, which of the following is true?

• n is greater than 625

• n is equal to 625

• n is less than 625

• n is a prime number

Which of the following values is greater than 25?

• 24

• 25

• 26

• 23

In the context of problem 161, what is the significance of the number 625?

• It is the result of n/25

• It is the divisor of n

• It is the value of n

• It is the square of 25

What is the result of 1 over 1 plus 1 over 2 plus 1/3?

• 2/3

• 3/5

• 7/10

• 1/2

What is the simplified form of 1 over 1 plus 1 over 7/3?

• 3/10

• 1

• 7/10

• 10/7

What is the equivalent of 1 over 7/3?

• 3

• 1/3

• 7/3

• 3/7

In a fruit salad mixture with a ratio of apples to peaches to grapes as 6:5:2, how many more pounds of apples are there than grapes if the total weight is 39 pounds?

• 15 pounds

• 9 pounds

• 18 pounds

• 12 pounds

If the ratio of apples to grapes is 6:2 in a fruit salad, what is the weight of grapes if the total weight is 39 pounds?

• 12 pounds

• 6 pounds

• 9 pounds

• 15 pounds

If the total weight of a fruit salad is 39 pounds, and the ratio of apples to peaches to grapes is 6:5:2, what is the weight of peaches?

• 10 pounds

• 15 pounds

• 12 pounds

• 13 pounds