One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 mph and Bob's was 4 mph, how many miles had Bob walked when they met?
Coins are to be put into 7 pockets so that each pocket contains at least one coin. At most 3 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed?
Lloyd normally works 7.5 hours per day and earns $4.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
A tea shop offers tea in 5 different flavors and in 4 different package sizes. If the shop charges a different price for each combination, how many different prices must it list?
If x and y are positive integers, and x + y = 10, what is the maximum possible value of xy?
Although migraine headaches are believed to be caused by food allergies, putting patients on diets that eliminate those foods to which patients have demonstrated allergic migraine reactions frequently does not stop headaches. Obviously, some other cause of migraine headaches besides food allergies must exist. Which of the following, if true, would most weaken the conclusion above?
A factory was trying out a new process for producing one of its products, with the goal of reducing production costs. A trial run using the new process showed a 15% reduction in costs compared with the standard process. The production managers concluded that the new process did produce a cost savings. Which of the following, if true, casts most doubt on the managers' conclusion?
A restaurant plans to stop serving meat in order to reduce the total amount of animal products it uses. The plan assumes this will significantly lower animal product consumption. The argument depends on which of the following assumptions?
In the early 1900s, Enrico Caruso's voice was captured using analog technology. Recently, his recordings were digitized for remastering. Analog systems record the original sound wave as a continuous signal, while digital systems sample the wave at discrete intervals and convert it to binary data. According to the passage, analog recording systems differ from digital systems in that analog systems:
If a certain city is losing 12% of its daily water supply each day because of water-main breaks, what is the dollar cost to the city per day for this loss? (1) The city's daily water supply is 350 million gallons. (2) The cost to the city for each 12,000 gallons of water lost is $2.
Buckets X and Y contained only water and bucket Y was 1/2 full. If all of the water in bucket X was then poured into bucket Y, what fraction of the capacity of Y was then filled with water? (1) Before the water from X was poured, X was 1/3 full. (2) X and Y have the same capacity.
Is the integer n odd? (1) n is divisible by 3. (2) 2n is divisible by 6.