Assuming that the dice are not rigged, what is the probability that, after a further roll, the average of the orange die increases?

Zohpius

April 6, 2023

1.NASA has picked up three messages from Proxima Centauri. After careful analysis, scientists have determined that “Flock Tecor Culdon” means “Missile Explosion Danger”, that “Edwan Mynor Tecor” means “Fire Danger on Board” and that “Culdon Gimilzor Zondor” means “Imminent Gas Explosion”. What is the meaning of the word “Flock”?
missiles
nobody
danger
explosion
gas
2. At a conference 12 members shake hands before and after the meeting. How many handshakes were there at the conference?
A. 132
144
145
121
100
3. Which number continues the series: 144 | 121 | 100 | 81 | 64 |
A. 36
19
49
17
50
4. A jeweller has nine golden statuettes, which belong to a new line of high-design ornaments. He knows that one of them is a little heavier than the others, but the difference isn’t such that you can tell by eye.
He will therefore have to use a very sensitive double scale to find out which of them he can sell at a higher price.
With a careful calculation of the number of statuettes to place on each arm, what is the minimum number of times he will have to do this operation to be 100% sure of identifying the one that weighs the most?
Choose from 1 to 10.

5.”One Hundred Soldiers Went to War”.
Identify 2 options that together make the statement unequivocally true.
There are no two options that make the sentence true.
The order to go to war was ignored by sixty soldiers.
Forty soldiers did not show up for war.
Twenty soldiers were killed in the war.
Eighty soldiers returned alive.
6.A new humanoid robot is governed by the algorithm in the figure: what word will it say?
Welcome!
He won’t say anything.
Hello!
set mood to 0
7. What is the output of the following flowchart if a=13 and b=7?
7
20
0
13
End
8. Identify the diagram that satisfies the set relationship between the given terms:
Names of colours,
Names of flowers,
Names of planets

9. Which of these graphs would you use to represent the daily number of sales over the past two years?

10. The data represented in the following scatterplot has a relationship:
Directly proportional
Inversely proportional
11. Considering the logical and graphical relationship between these two variables, we can say that between them there is:
Both
Causality
Correlation
Other
12. Considering the performance of a sports team in the first six months of the season, what is the percentage of games won by the team?
50%
65%
60%
80%
13. Considering the performance of a sports team in the first six months of the season, which month was the worst for the team?
6
3
2
4
14. The graph below shows the results obtained by rolling two dice of different colours 20 times each. What is the weighted average of the results on the blue dice?
A.3.33
B.2.25
C.7.5
Other (Write it down)
15. The graph below shows the results obtained by rolling two dice of different colours 20 times each. Assuming that the dice are not rigged, what is the probability that, after a further roll, the average of the orange die increases?
1/6
1/2
2/3
Other (Write it down)

16. The graph shows the monthly earnings of a company from April to August. As a percentage, how much more did the company earn in June than in April?
250%
500%
175%
Other (Write it down)
17. The chart above shows a company’s monthly earnings from April to August. The graph below shows the number of shares of the same company in each month.
As a percentage, how much did earnings per share increase from May to June?
40%
150%
200%
120%