In the xy-plane, the origin O is the midpoint of line segment PQ…
December 13, 2017
GMAT OFFICIAL GUIDE PS Solution: We can let the coordinates of Q be (x, y). Since the origin (0, 0) is the midpoint of PQ, we have: (r + …
Tag: GMAT OG 2018
Last week Chris earned x dollars per hour…
December 13, 2017
GMAT OFFICIAL GUIDE PS Solution: We can create the equation: 40x + 22(48 – 40) = 816 40x + 22(8) = 816 40x + 176 = 816 40x = …
The sum of the weekly salaries of 5 employees is $3,250…
December 13, 2017
GMAT OFFICIAL GUIDE PS Solution: The original average salary is 3,250/5 = 650. If each of the 5 salaries will increase by 10%, the new sum of the salaries …
If a sphere with radius r is inscribed in a cube…
December 13, 2017
GMAT OFFICIAL GUIDE PS Solution: Since the sphere is inscribed in the cube, the length of an edge of the cube = the diameter of the sphere. Recall that …
The quotient when a certain number is divided by 2/3 is 9/2…
December 13, 2017
GMAT OFFICIAL GUIDE PS Solution: Recall that a quotient is the result of a division problem. We can create the following equation in which x = the number we’re …
In the figure shown, AC = 2 and BD = DC = 1…
December 13, 2017
GMAT OFFICIAL GUIDE PS Solution: Since AC = 2 and DC = 1, AD must be 1. Since BD = 1, this makes triangle ABD an isosceles triangle with …
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors…
December 13, 2017
GMAT OFFICIAL GUIDE PS Solution: Since the regular price of each hollow pine door = 40 dollars, the regular price of each solid oak door is (2)(4) = 80 …
During a certain time period, Car X traveled north…
December 13, 2017
GMAT OFFICIAL GUIDE PS Solution: Since the car has a constant rate of 1 mile per minute, we can let r = the rate of the car in miles …