MATH 55

Find the sum of the first five terms of the geometric progression if the third term is 144 and the sixth term is 486.

• a. 844

• b. 972

• c. 746

• d. 548

A and B working together can finish a job in 5 days, B and c together can finish the same job in 4 days, and A and C in 2.5 days. In how days can all of them do the job working together?

• a. 1.06 days

• b. 2.4 days

• c. 3.2 days

• d. 2.03 days

If Chicago is 10% taller than Ishida and Ishida is 10% taller than Chad, then Ichigo is taller than Chad by how many percent?

• a. 31%

• b. 41%

• c. 21%

• d. 11%

After the price of petroleum oil went up by 10%, a buyer reduced his oil consumption by the same percent. By what percent would his petroleum bill changed?

• a. 1%

• b. 11%

• c. 10%

• d. 0.1%

Find the mean, median and mode respectively of the following numbers: 13, 13, 14, 12, 11, 10, 9, 11, 8, 11, 5, and 15.

• a. 10, 10, 10

• b. 10, 11, 10

• c. 10, 11, 11

• d. 11, 11, 11

There are 4 white balls and 6 red balls in a sack. If the balls are taken out successively (the first ball is not replaced), what is the probability that the balls drawn are of different colors.

• a. 23/90

• b. 8/15

• c. 24/103

• d. 7/15

Solve for x in the following equation: x + 3x + 5x + 7x + … + 49x = 625

• a. 2

• b. 1

• c. 1/2

• d. 1/3

An organization consists of n engineers and n nurses. If two of the engineers are replaced by two other nurses, then 51% of the group members will be nurses. Find the value of n

• a. 70

• b. 110

• c. 50

• d. 100

In a certain family, the sum of the parents’ ages is twice the sum of their children’s ages. Five years ago, the sum of the parents’ ages was four times the sum of the children’s ages during that time. In fifteen years, the sum of the parents’ ages will be equal to the sum of their children’s ages. How many children are there in the family?

• 5

• 6

• 7

• 8

z varies directly as x and inversely as y². If x = 1 and y = 2, then z = 2. Find z when x = 3 and y = 4.

• a. 1.5

• b. 0.5

• c. 2.5

• d. 3.5