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 :
Digital SAT Problems and Solutions (Part - 1)
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