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The Official Answers
Tough Test 1 - Answers
1. It will make 2 complete revolutions.
2. 1/16. Starting with 1/8 and looking at every other fraction, you have 1/8, 1/10, 1/12, 1/14 and 1/16, with the denominator increasing by 2 with each step. The other sequence begins with 1/15: 1/15, 1/12, 1/9, 1/6 and 1/3, with the denominator decreasing by 3 with each step.
3. None of the above are correct. You can determine which sack contains the 1.1 ounce coins by removing a DIFFERENT NUMBER of coins from each sack, and weighing those coins at the same time. For example: 1 coin from sack A, 2 from B, 3 from C, 4 from D, 5 from E, and 6 from F. If the scale showed the weight as 21.6 ounces (or 1 pound and 5.6 ounces), you would know that sack F contained the unusual coins, or if the weight was 21.3 ounces, that it was sack C.
4. U
5. Actor. The person is Jack Nicholson
6. 6291456. Here's how the sequence unfolds:
3 x 2 = 6
6 x 4 = 24
24 x 8 = 192
192 x 16 = 3072
3072 x 32 = 98304
98304 x 64 = 6291456
7. 4 pounds. The mixture was 90% water (18 pounds) which meant 10% (2 pounds) was not water. We can also determine that the water and non-water portions of the mixture weigh equally, if in equal quantities (X = 20 for 0.9X = 18 as well as 0.1X = 2). The mixture is now 50% water, and 50% non-water. Since we know the non-water portion of the mixture, which was not affected by evaporation, weighs 2 pounds, the water portion must also weigh 2 pounds, which makes the whole mixture 4 pounds.
8. Type faces.
9. S. The person is WILLIAM SHAKESPEARE.
10. 10
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