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Math 006

1: If the ratio of 150 to x is equal to the ratio of 3 to 1, and the ratio of x to y is equal to the ratio of 2 to 5, what is the value of y - x?: 50
75
150
400
450
2: If a die is tossed twice, the probability of getting a 1 on one die and 6 on the other die is:: 1/12
1/24
1/36
1/72
1/216
3: A thick sheet of paper 9 units long and 8 units wide is made into a cylinder 9 units in height. What is the volume of the cylinder?: 72/pi
96/pi
144/pi
216/pi
288/pi
4: If x and y are negative odd integers, which of the following must be a positive even integer?: x + y
x - y
x / y
(x + y)(x + y)
(x + y)(x - y)
5: If 100,000,000 units = 1 centimeter, how many units equal one meter?: 10,000,000,000
100,000
10,000
0.0001
0.00000000001
6: When both Granny Smith apples and Gala apples are combined, there are 1,500 apples inside a large crate. If the number of Gala apples in the crate were to be reduced by 1/5, what percent of the total number of apples remaining would then be Granny Smith apples?: 16.7%
20%
28.3%
80%
83.3%
7: What is the least positive integer that has the same number of positive factors as 45?: 8
12
16
20
24
8: When 8 students took a test, their average score turned out to be 78. If 2 more students take the test and receive scores of 86 and 90, what is the average score of all the test takers?: 79
80
81
82
83
9: A test shows that 10 out of 100 radios are defective. In a random sample of two radios, the probability that both are defective is:: 1/5
1/10
1/11
1/100
1/110
10: A youth hostel charges $50 per day. If a customer stays at the youth hostel for 4 or more consecutive days, the customer gets the last day free and pays only $40 per day for the other days. Steve stays for 5 consecutive days, and Paul stays for 3 consecutive days. The average daily rate paid by Steve is what percent of the average daily rate paid by Paul?: 36%
43.75%
64%
80%
156.25%