What is the smallest possible common multiple of three integers, all larger than 26?
Answer(s): A
All of the integers have to be greater than 26, thus 27 and up. The question didn’t mention that they have to be different and so they can all be equal to 27.The smallest common multiple of 27 is 27 itself.
What is the smallest possible common multiple of two integers, both bigger than 260?
All of the integers have to be greater than 260, thus 261 and up. The question didn’t mention that they have to be different from one another and so they can all be equal to 261.The smallest common multiple of 261 is 261.
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
Answer(s): E
Define W as the price of the bucket of whitewash and P as the price of a paintbrush. You can write the following equations: P + W = B and P = 2W – 2.Notice that 200 cents are translated into 2 dollars.From the equations we can conclude that W = (B + 2)/3. Therefore the price of half a bucket is (B + 2)/6.
If 34 boxes of cucumbers in brine cost A dollars, how much will B boxes cost in cents?
Answer(s): D
If 34 boxes cost A dollars then one box costs A/34 dollars or 100A/34 cents = 50A/17. B boxes will cost B x 50A/17 = 50AB/17.
If X boxes of pineapple juice cost 342 cents, how much will Y boxes cost in dollars?
If X boxes cost 342 cents (or 3.42 dollars), then each box costs 3.42/X. Y boxes will cost 3.42Y/X.
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