DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 65)

Problem 1 :

Data set A consists of the heights of 75 buildings and has a mean of 32 meters. Data set B consists of the heights of 50 buildings and has a mean of 62 meters. Data set C consists of the heights of the 125 buildings from data sets A and B. What is the mean, in meters, of data set C?

Solution :

Problem 2 :

The graph of 9x -10y = 19 is translated down 4 units in the xy-plane. What is the x-coordinate of the x-intercept of the resulting graph?

Solution :

Problem 3 :

Two variables, x and y, are related such that for each increase of 1 in the value of x, the value of y increases by a factor of 4. When x = 0, y = 200. Which equation represents this relationship?

A)  y = 4(x)²⁰⁰

B)  y = 4(200)^x

C)  y = 200(x)⁴

D)  y = 200(4)^x

Solution :

Problem 4 :

x² − 2x − 9 = 0

One solution to the given equation can be written as 1 + √k, where k is a constant. What is the value of k?

A)  8

B)  10

C)  20

D)  40

Solution :

Problem 5 :

The dot plots represent the distributions of values in data sets A and B.

Which of the following statements must be true?

I.  The median of data set A is equal to the median of data set B.

II.  The standard deviation of data set A is equal to the standard deviation of data set B.

A)  I only

B)  II only

C)  I and II

D)  Neither I nor II

Solution :

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