## Search found 2512 matches

#### After the yearly performance appraisal, Boogle, fired 25% of its senior software engineers. What percentage of employees

##### 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...

#### At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their

##### Re: At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their

80% of all interns receive less than 6 hours of sleep. 75% of all interns receive less than 6 hours of sleep and report feeling tired. So, subtracting, 5% of all interns receive less than 6 hours of sleep and do not report feeling tired. We then also have the remaining 20% of interns who get more th...

#### 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 women

##### 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.

#### Arithmetic

###### Problem Solving

All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 119 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only? A. 30 B. 51 C. 60 D. 85 E. 11 OA i...

by Ian Stewart

Tue Sep 03, 2019 12:34 pm
Forum: Problem Solving
Topic: Arithmetic
Replies: 2
Views: 525

#### Before leaving home for the town of Madison, Pete checks a

###### Problem Solving

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...

by Ian Stewart

Tue Sep 03, 2019 12:25 pm
Forum: Problem Solving
Topic: Before leaving home for the town of Madison, Pete checks a
Replies: 2
Views: 405

#### A string of 5 different colored light bulbs is wired in

###### Problem Solving

A string of 5 different colored light bulbs is wired in such a way that if any two-consecutive light bulb fails, then entire string fails. If for each individual light bulb, the probability of not failing during time period T is 0.85, what is the probability that the string of light bulbs will fail...

by Ian Stewart

Fri Aug 30, 2019 7:40 am
Forum: Problem Solving
Topic: A string of 5 different colored light bulbs is wired in
Replies: 3
Views: 477

#### If a certain positive integer is divided by 9, the remainder

###### Data Sufficiency

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...

by Ian Stewart

Thu Aug 29, 2019 6:31 am
Forum: Data Sufficiency
Topic: If a certain positive integer is divided by 9, the remainder
Replies: 1
Views: 342

#### An Internet supplier has 4 international cables. Each cable

###### Data Sufficiency

Most of the information in the stem is irrelevant, so I'm not sure why it's there, but we have no information, even using both Statements, about the magenta cable, so we can't answer any question about the sum or average of all four of the cables. So the answer is E.

by Ian Stewart

Thu Aug 29, 2019 6:23 am
Forum: Data Sufficiency
Topic: An Internet supplier has 4 international cables. Each cable
Replies: 2
Views: 410

#### Is a an integer?

###### Data Sufficiency

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...

by Ian Stewart

Tue Aug 27, 2019 9:03 am
Forum: Data Sufficiency
Topic: Is a an integer?
Replies: 2
Views: 420