(02PS2-1)

How many positive factors does the number 102 have?

(02PS2-2)

How many three-digit positive integers have the sum of their digits equal to 4?

(02PS2-3)

Employees at company Z either have a bachelor or an associate degree. Of the employees, 15 are women with bachelor degrees, and 65 have an associate degree. If 50 of the 90 employees at company Z are men , how many of the employees are men with an associate degree?

(02PS2-4)

During an event on veganism at a university's auditorium, all the people present were sitting on either the yellow sector or the blue sector. At the beginning of the event, the lecturer asked the audience who - among the presents - were vegans and 3/5 of the people raised their hands. If 5% of the people were non-vegans sitting on the blue sector, and 3/4 of the people were sitting on the yellow sector, what percent of the audience were vegans sitting on the yellow sector?

(02PS2-5)

Last month, districts A and B massively tested their citizens for coronavirus. Of the people tested, those with positive results were not tested again, but those with negative results in the first round needed to go through a new test after 2 weeks. District A's entire population was tested and had a 2% rate of positive results in the first round, and a 10% rate of positive results in the second round. District B's entire population was also tested and had a 10% rate of positive results in the first round, and a 5% rate of positive results in the second round. If the population in districts A and B are 500 and 1,000, respectively, how many people tested negative twice?

(02PS2-6)

In certain production line, two lots of raw materials from two different providers, D and E, go through inspection. The materials from provider D have a 5% rejection rate and the materials from provider E have a 2% rejection rate. If the quantity of materials from provider E is three times the quantity of materials from provider D, what percent of the two lots is rejected?

(02PS2-7)

According to a survey of 300 people, 80 like Brand A and 100 like Brand B. If the number of people that like neither Brand A nor Brand B is three times the number of people who like both brands A and B, how many people surveyed like neither Brand A nor Brand B?

(02PS2-8)

In a certain company, 60 percent of the employees arrive to work by bus and 40 percent of those who arrive by bus also work in sector H. If 10 percent of the employees neither arrive to work by bus nor work in sector H, what percent of the employees work in sector H?

(02PS2-9)

Which of the following is closest to

(02PS2-10)

Which of the following is a better approximation to

(02PS2-12)

The yearly cost C, in dollars, to maintain the proportion p, which varies from 0 to 100, in percent, of substance Y in a certain lake is given by the formula:

How many times more costly would it be to increase the proportion of substance Y from 50% to 80% for a year than it would be to increase the proportion of substance Y from 25% to 40% for a year?

(02PS2-13)

If

what is the value of x + y + z?

(02PS2-14)

If

what is the value of x + y + z?