Jeremy bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
Answer(s): D
Jeremy paid W dollars (or 100W cents) for 2Q steaks and therefore each steak cost him 50W/Q. Jerome has a 50% discount, so every steak costs him 25W/Q.Jerome wants to buy R steaks; it will cost him 25RW/Q.
An electrical appliances store sold this month 400% more than the average of all the other months in the year. The sales total for this month was approximately what percent of total sales for this year?
Answer(s): C
Plug in 1$ as the sales for each of the other 11 months.On that special month, the store sold 400% more (400% of 1 is 4), or $5. The sales of this month relative to the sales of the entire year are 5/(11 + 5). 5/16, which is a bit less than 1/3 (33%).
What is the units’ digit of (9)7(17)3(3)3 ?
Answer(s): E
(17)3(3)3 = (17 x 3)3 = (51)3 = 51 x 51 x 51 ---> the units’ digit is just 1 x 1 x 1 = 1. We are left with the units’ digit of 97.(9)7 = 9 x 81 x 81 x 81 ---> the units’ digit is 9.And therefore the units’ digit of the entire expression is 9.
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 5 buckles and 6 buttons?
Answer(s): A
Define B as the weight of a button and K as the weight of a buckle.The total weight of (2B + 2K) is equal to (11K + 3B) ---> 3B = 5K B = 5K/3. The question requires the ratio between (3B + 2K) and (5K + 6B).The first factor is equal to (5K + 2K = 7K).The second factor is equal to (5K + 2(5K)) = (15K).The ratio between them is 7:15 and therefore the first factor is 7/15 of the second one.
In a recent survey, Q people were asked whether they eat after 22:00 O’clock. 25 percent of the people answered positively and 40 percent of the rest were asked, at what time do they get up in the morning. Which of the following expressions represents the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning?
75Q/100 is the number of people who eat after 22:00. 60% of that number is the number of people who weren’t asked upon, when do they get up at the morning.60 x (75Q/100) / 100 = 45Q/100 = 9Q/20.
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