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Solution Category: Problem Solving

A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow…

Posted on February 28, 2019

If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+1) for all positive integers…

Posted on February 28, 2019

Kay began a certain game with x chips. On each of the next two plays, she lost one more than half…

Posted on February 28, 2019

Each of 90 students participated at least 1 of the track tryouts: High jump, long jump, 100 meter dash. If 20…

Posted on February 28, 2019

The logo of a certain corporation is in the shape of a polygon, where all angles of a the polygon have…

Posted on February 28, 2019

If |x| > 3, which of the following must be true?

Posted on February 28, 2019

Relative to a group of other airlines, and airline’s degree of competition, c. for daily flights from City X to Destination Y…

Posted on February 28, 2019

If x ≠ – 1, then is equal to

Posted on February 28, 2019

A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1…

Posted on February 28, 2019

A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he…

Posted on February 28, 2019

If k is negative, which of the following must also be negative?

Posted on February 28, 2019

During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree…

Posted on February 28, 2019

If x/y = 2/3 , then (x-y)/x =

Posted on February 28, 2019

The outside of the rectangular box represented in the figure above is to be decorated by attaching pieces of…

Posted on February 28, 2019February 28, 2019

A wholesaler bought 1,200 radios for $18 each. The wholesaler sold 60 percent of the radios for…

Posted on February 28, 2019

What is the value of expression x(x-2)^3 when x = -1?

Posted on February 28, 2019

Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced…

Posted on February 28, 2019

A certain machine produces 1,000 units of product P per hour. Working continuously at this constant rate…

Posted on February 28, 2019

If a town of 25,000 people is growing at a rate of approximately 1 percent per year, the population of the…

Posted on February 28, 2019

If snow accumulation increased at a constant rate of 30 millimeters per hour during a certain…

Posted on February 28, 2019

A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer…

Posted on February 27, 2019

For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in…

Posted on February 27, 2019

How many positive three-digit integers are divisible by both 3 and 4?

Posted on February 27, 2019

If the positive number d is the standard deviation of n, k and p then the standard deviation of n+1, k+…

Posted on February 27, 2019

A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would…

Posted on February 27, 2019

A string of 10 light bulbs is wired in such a way that if any individual light bulb fails, the entire string…

Posted on February 27, 2019

At the end of each year, the value of a certain antique watch is “c” percent more than its value one…

Posted on February 27, 2019

N and M are each 3-digit integers. Each of the numbers 1, 2, 3, 6, 7, and 8 is a digit of either N…

Posted on February 27, 2019

All of the 540 people who attended an education convention were either teachers or administrators. There…

Posted on February 27, 2019February 27, 2019

If 175 billion French francs is equivalent to 35 billion United States dollars, which of the following…

Posted on February 27, 2019

At Company X senior sales representatives visit the home office once every 30 days, and junior sales…

Posted on February 27, 2019

If the sum of the consecutive integers from –42 to n inclusive is 372, what is the value of n?

Posted on February 27, 2019

Of the 500 business people surveyed, 78 percent said that they use their laptop computers at home…

Posted on February 27, 2019

6.2 is what percent of 1000?

Posted on February 27, 2019

Which of the following fractions has the greatest value?

Posted on February 27, 2019

When the even integer n is divided by 9, the remainder is 8. Which of the following, when added to n…

Posted on February 27, 2019

A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is…

Posted on February 27, 2019

Each signal that a certain ship can make is comprised of 3 different flags hanging vertically in a…

Posted on February 27, 2019

At a certain committee meeting only associate professors and assistant professors are present…

Posted on February 27, 2019February 27, 2019

The integers q,r,s,t and u are positive. If t >q , u > r, s >t, and r > s, what is the median of the five integers?

Posted on February 27, 2019

If v = √(2(9.8))m/0.5j), m = 96, and j = 49,which of the following most closely approximates the value of v?

Posted on February 27, 2019

If (2^x) (2^y) = 8 and (9^x)(3^y) = 81, then (x,y) equals:

Posted on February 27, 2019

If Henry were to add 5 gallons of water to a tank that is already 3/4 full of water, the tank would…

Posted on February 27, 2019

Company X has 50 employees and Company Y has 60 employees. Both companies have the…

Posted on February 27, 2019

Ann, Carol, and Judy paid a total of $45 for their dinner at a restaurant. If Ann paid 2/5…

Posted on February 27, 2019

In a certain downtown office, 40 percent of the workers are men and 60 percent are women…

Posted on February 27, 2019

If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

Posted on February 27, 2019

If 0 < x < 2, which of the following must be greatest?

Posted on February 26, 2019February 26, 2019

Which of the following is equivalent to ((a+b)/2)+ ((a-b)/3)?

Posted on February 26, 2019February 26, 2019
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