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OG12 OG15
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What is the average (arithmetic mean) of j and k ?(1)The average (arithmetic mean) of j + 2 and k + 4 is 11.(2)The average (arithmetic mean) of j, k, and 14 is 10.
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OG12 OG15
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A number of people each wrote down one of the first 30 positive integers. Were any of the integers written down by more than one of the people?(1)The number of people who wrote down an integer was greater than 40.(2)The number of people who wrote down an integer was less than 70.
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OG12 OG15 OG16
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In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?(1)Exactly 100 of the employees are college graduates.(2)Of the employees 40 years old or less, 25 percent have master's degrees.
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OG12 OG15 OG16
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An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?(1)The employee's regular hourly rate is $10.(2)Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.
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OG12 OG15
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If ° represents one of the operations +, -, and x,is k ° (l + m) = (k ° l) + (k ° m) for all numbers k, l, and m ?(1)k ° 1 is not equal to 1 ° k for some numbers k(2)°represents subtraction.
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OG12 OG15
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In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?(1)Of the 300 students, 60 do not study Spanish.(2)A total of 240 of the students study Spanish.
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A certain salesperson's weekly salary is equal to a fixed base salary plus a commission that is directly proportional to the number of items sold during the week. If 50 items are sold this week, what will be the salesperson's salary for this week?(1)Last week 45 items were sold.(2)Last week's salary was $405.
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If the average (arithmetic mean) of x, y, and 20 is 10 greater than the average of x, y, 20, and 30, what is the average of x and y?
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If the number 52,1n9, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
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If Henry were to add 5 gallons of water to a tank that is already $$\frac3 4$$ full of water, the tank would be $$\frac7 8$$ full. How many gallons of water would the tank hold if it were full?
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OG18-数学分册
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For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of ((98Θ33)Θ17)-(98Θ(33Θ17)) ?
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On an aerial photograph, the surface of a pond appears as circular region of radius $$\frac7 {16}$$ inch. If a distance of 1 inch on the photograph corresponds to an actual distance of 2 miles, which of the following is the closest estimate of the actual surface area of the pond, in square miles?
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If $${3}^{6x}=8,100$$, what is the value of $$({3}^{x-1})^{3}$$ ?
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Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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How many prime numbers between 1 and 100 are factors of 7,150 ?
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OG16 OG17 OG18 OG19 OG20 OG2022
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In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is -5, how many of the numbers in the sequence are positive?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?
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A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?
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OG18-数学分册
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A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?I.-3II.1III.5
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