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OG2021-PS-109

If z≠0 and z+~$1-2z^2\over z $~=~$w \over z$~,then w=


OG2021-PS-108

If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)


OG2021-PS-107

To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?


OG2021-PS-106

m ⊕ p = n

n  ⊕  r =m

n  ⊕  q = q

p  ⊕  q = p

q  ⊕   p = r

If the relations shown hold for the operation ⊕ and the numbers m, n, p q and r, then [(m⊕p)⊕q]⊕p=


OG2021-PS-105

According to a survey of 200 people, 60 enjoy skiing and 80 enjoy skating. If the number of people who enjoy neither skiing nor skating is 2 times the number of people who enjoy both skiing and skating, how many people surveyed enjoy neither skiing nor skating?


OG2021-PS-97

A dance troupe has a total of 50 dancers split into 2 groups. The costumes worn by Group A cost $80 each, and those worn by Group B cost $90 each. If the total cost of all the costumes is $4,270, what is the total cost of the costumes worn by Group B?


OG2021-PS-96


Recording Time
Viewing Time
Tuesday
4 hours
None
Wednesday
None
1 to 2 hours
Thursday
2 hours
None
Friday
None
2 to 3 hours

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?


OG2021-PS-94

A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour. Approximately how many miles per hour was the speed reduced? (1 kilometer = 0.625 mile)


OG2021-PS-93

A service provider charges c dollars for the first 50 hours of service used per month and 40 cents for each 30 minutes in excess of 50 hours used during the month. If x is an integer greater than 50, which of the following expressions gives this service provider's charge, in dollars, for a month in which x hours of service were used?


OG2021-SC-931

Unlike historical evidence of weather patterns in other regions of the world, which scientists find abundantly represented in tree rings, ancient glacial ice, or layers of sediment from seasonal plankton, the North Pole's clues about its past climates are almost nonexistent.


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