Re: After the yearly performance appraisal, Boogle, fired 25% of its senior software engineers. What percentage of emplo

The wording could be better, but if we start with T employees, 35% of whom are senior engineers, then we start with 0.35T = (7/20)T senior engineers. We know a quarter of these engineers are fired, so the number of engineers and the total number of employees both drop by (1/4)(0.35T) = (7/80)T. So n...

Re: A certain company has budgeted $1,440 for entertaiment expenses for the year, divided into 12...

Dividing $1440 by 12, they budgeted $120 per month, so $360 for three months. If they spent $300, they were $60 under budget.

Re: On the coordinate plane (6, 2) and (0, 6) are the endpoints of the diagonal of a square. What are the coordinates of

If you understand slopes well, you can answer the question without much algebra. Recall that perpendicular slopes are negative reciprocals. So if you travel, say, 5 units to the right and 2 units up along one line, then to travel the same distance along a perpendicular line, you would need to travel...

Re: Is the standard deviation of set Q equal to 0?

Economist GMAT Is the standard deviation of set Q equal to 0? 1) The average (arithmetic mean) of set Q is equal to the greatest number in Q. 2) The mean of the set Q is equal to the greatest number in Q. OA A I don't understand the question. First, in math, a "set" cannot contain repeated elements...

Re: The ratio of men to women in a class is 6 to 5. If 2 men and 1 woman drop out of the class and the ratio of men to w

If the ratio of men to women is 6 to 5, the number of men must be a multiple of 6. Only one answer is a multiple of 6, namely 18, so that has to be right.

Someone driving at 60 mph for 2.5 hours will drive a total of (2.5)(60) = 150 miles. If that distance corresponds to 5 inches on the map, then the scale of the map is 5 inches per 150 miles, or 1 inch per 30 miles, so 1/30 is the answer. That's assuming he drove in a straight line, which is somethin...

Statement 1 tells us the number is 30 greater than a multiple of 45, so it is 30 greater than a multiple of 5, and must be itself a multiple of 5. So the remainder will be zero when we divide the number by 5, and Statement 1 is sufficient. Using Statement 2, we know we get a remainder of 3 when we d...

Statement 1 tells us that a is the cube root of some integer. Sometimes cube roots of integers are themselves integers, and sometimes not, so Statement 1 is not sufficient. Statement 2 tells us that the cube root of a is an integer, so a itself will be the cube of an integer, and must therefore be a...