Probability, Geometry, and Mean Calculations

This video tutorial covers a range of GRE math questions, including arithmetic mean, solving linear and quadratic equations, geometry, probability, statistics, and using proportions and ratios. It provides strategies for solving these problems and emphasizes the importance of understanding the underlying concepts.

What is the arithmetic mean of the numbers 34, 75, 51, 68, and 47?

• 50

• 45

• 55

• 60

Which of the following is a solution to the equation x^2 - 2x = 15?

• x = 5

• x = 3

• x = -3

• x = -5

What is the volume of a cylinder with a height of 20 inches and a radius of 5 inches?

• 500π

• 750π

• 250π

• 1000π

If a laptop is sold for $399 with a 15% discount and an 8% sales tax, what is the final price?

• $339.15

• $366.28

• $399.00

• $350.00

A bag contains 5 red, 4 green, 8 blue, and 3 yellow marbles. What is the probability of picking a red marble?

• 1/3

• 1/6

• 1/5

• 1/4

What is the reduced probability of selecting a red marble from a bag containing 5 red, 4 green, 8 blue, and 3 yellow marbles?

• 1/3

• 1/4

• 1/2

• 1/5

If a bag contains 5 red, 4 green, 8 blue, and 3 yellow marbles, what is the probability of selecting a blue marble on the first try and a green marble on the second try with replacement?

• 2/25

• 1/5

• 4/25

• 3/20

Susan earns $24 per hour for the first 40 hours and 1.5 times her normal rate for overtime. How much does she earn if she works 56 hours in a week?

• $1,200

• $1,440

• $960

• $1,536

What is the area of a shaded region if the side of the square is 10 and the radius of the inscribed circle is 5?

• 100 - 25π

• 75 - 20π

• 50 - 15π

• 25 - 10π

How many cupcakes can Mary make in two hours if she can make 12 cupcakes in five minutes?

• 144

• 288

• 360

• 240