Tough Test 1

[Bumper]

1. Without using any coins, can you determine how many revolutions a penny will complete if it is rolled around another penny?

3/4
1
1 1/4
1 1/2
1 3/4
2
2 1/4
2 1/2
2 3/4
3


2. What comes next in the following series?

1/15 1/8 1/12 1/10 1/9 1/12 1/6 1/14 1/3 ?

1/16
1/18
1/20
1/22
1/24
1/15
1/13
1/11
1/9
None of the above are correct

3. Sacks marked A, B, C, D, E and F each contain 100 coins. 5 of the sacks contain coins that are exactly alike in all respects, including weight: 1 ounce per coin. One of the sacks contains coins that look exactly like the coins in the other sacks, but each coin in this sack weighs 1.1 ounces. Using an electronic scale exactly one time, how can you determine, with certainty, which sack contains the coins that weigh 1.1 ounces?

By placing all of the sacks with all of their coins in them on the scale at the same time
By removing all of the coins from the sacks, and weighing all of the sacks at the same time
By removing all of the coins from the sacks, and weighing all of the coins at the same time
By removing 1 coin from each sack, and weighing only those 6 coins
By removing 2 coins from each sack, and weighing only those 12 coins
By removing 7 coins from each sack, and weighing only those 42 coins
By removing 11 coins from each sack, and weighing only those 66 coins
By removing 13 coins from each sack, and weighing only those 78 coins
By removing 17 coins from each sack, and weighing only those 102 coins
None of the above are correct

4. All of the letters below can be turned upside down, viewed in a mirror and still appear as they should... all except one, that is. Which one is the "odd man out"?
B
C
D
O
U

5. Below is an anagram of a famous person’s name.

join shock clan

When the letters are rearranged, you have the name of a person who is a famous

scientist
theologian
soldier
doctor
actor
judge
athlete
corporate CEO
artist
musician

6. What number comes next in the sequence below?

3 6 24 192 3072 98304 ?

738283
3928384
6291456
8293837
39288273
52819938
72837489
81938478
102938438

7. Mary was working in a chemistry lab with a mixture of chemicals that was 90% water and weighed 20 pounds. After returning to the lab from a weekend break, she calculated the mixture was now 50% water. How much does the mixture now weigh? For purposes of this puzzle, assume the non-water part of the mixture was not affected by evaporation.

2 pounds
4 pounds
6 pounds
8 pounds
10 pounds
12 pounds
14 pounds
16 pounds
18 pounds
20 pounds

8. To what would I be referring if I mentioned Baskerville, Bodini, Caledonia and Garamond?

hounds
mythological monsters
islands
apples
onions
flags
boots
places of legend
type faces
types of architecture

9. Below is an anagram of a famous person's name:

I'll make a wise phrase

When the letters are rearranged, what is the first letter in this famous person's last name?

w
a
s
i
l
m
k
r
h
e

10. What is the maximum number of straight lines you can draw between 9 evenly spaced dots in a 3x3 grid (like the one shown below) without lifting your pencil and without retracing any lines? Any line connecting two dots counts as one individual line. Use only horizontal and vertical lines.

● ● ●
● ● ●
● ● ●

EDIT: You may have noticed this thread was closed as soon as it was entered. That was not intended to limit your input or enjoyment in any way. On the contrary, your participation is most welcome. The action was taken to prevent eager Peeps from going into some search engine, finding the answer, and posting it, as happened on several occasions in the past. (Of course I harvest a lot of this material from other sources. You didn’t think I create it all myself, did you? I’m good, but I’m not that good!) Regrettably, that also means that folks who legitimately work out their own answers, and would like to post them, don’t get to display their prowess, but I’m afraid that can’t be helped. I’ll open the thread in a couple of days, when Peeps have had an opportunity to try their hand at a solution, and you can post away then. The official answer will come a bit after that. I appreciate your patience and understanding, and hope you enjoy the exercise

[Bumper]

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

[bebe2]

I thought I had one answered correctly. WRONG! First time I have been skunked on one of Bumper's tests.

Hope the rest of you were more up to the challenge.

"I am not smarter than a 5th Grader."