Mathematical Concepts and Problem Solving

The video covers a series of GMAT problems, starting with a brief distraction about a phone call. It includes solving for the equation of a line, finding the difference between a two-digit integer and its reverse, calculating the radius of a circle tangent to axes, determining the combined resistance of parallel resistors, and calculating the probability of specific outcomes.

What is the slope of a line if the change in y is -2 and the change in x is 3?

• -3/2

• 2/3

• 3/2

• -2/3

If a two-digit number AB is reversed to form BA and the difference is 27, what is the difference between the digits A and B?

• 1

• 2

• 3

• 4

In a circle tangent to both axes, if the distance from the origin to the center is k, what is the radius in terms of k?

• k

• k/sqrt(2)

• 2k

• k/2

What is the formula for the combined resistance of two resistors x and y connected in parallel?

• xy/(x + y)

• x/y + y/x

• x + y

• 1/(1/x + 1/y)

What is the probability that Xavier and Yvonne solve a problem but Zelda does not, given their success probabilities are 1/4, 1/2, and 5/8 respectively?

• 9/64

• 7/64

• 5/64

• 3/64