What Do You Know About Two-cube Calendar?

1) When did Singleton's patent of the calendar lapse?

1965

1966

1967

1968

Singleton's patent of the calendar lapsed in 1965.

Explanation

Singleton's patent of the calendar lapsed in 1965.

2) Which day of the month does the front faces of the two cubes indicate?

23rd day

15th day

20th day

25th day

The front faces of the two cubes indicate the 25th day of the month.

Explanation

The front faces of the two cubes indicate the 25th day of the month.

3) What is the total number of possible outcomes in the calendar?

14

13

12

11

The total number of possible outcomes in the calendar refers to the number of different ways the days of the week can be arranged. In a standard calendar, there are 7 days of the week. However, since the starting day of the week can vary, there are only 7 distinct arrangements. Additionally, there are 4 different possibilities for the number of weeks in a month (4, 5, 6, or 7 weeks), resulting in a total of 7 x 4 = 28 possible outcomes. However, since there are only 12 months in a year, the total number of possible outcomes is limited to 12. Therefore, the correct answer is 12.

Explanation

The total number of possible outcomes in the calendar refers to the number of different ways the days of the week can be arranged. In a standard calendar, there are 7 days of the week. However, since the starting day of the week can vary, there are only 7 distinct arrangements. Additionally, there are 4 different possibilities for the number of weeks in a month (4, 5, 6, or 7 weeks), resulting in a total of 7 x 4 = 28 possible outcomes. However, since there are only 12 months in a year, the total number of possible outcomes is limited to 12. Therefore, the correct answer is 12.

4) How many characters make up the set of letters often used in the calendar?

12 characters

18 characters

28 characters

10 characters

The set of letters often used in the calendar includes the 12 letters representing the months (January to December) and the 6 letters representing the days of the week (Sunday to Saturday). Therefore, the total number of characters in this set is 12 + 6 = 18 characters.

Explanation

The set of letters often used in the calendar includes the 12 letters representing the months (January to December) and the 6 letters representing the days of the week (Sunday to Saturday). Therefore, the total number of characters in this set is 12 + 6 = 18 characters.

5) In the set of cubes, what does 6 double as?

18

12

9

7

In the set of cubes, the number 6 doubles as 9. This means that if you were to multiply 6 by 2, the result would be 9.

Explanation

In the set of cubes, the number 6 doubles as 9. This means that if you were to multiply 6 by 2, the result would be 9.

6) How many faces of the cubes have numbers 3, 4, 5 on them?

4 faces

9 faces

7 faces

3 faces

A cube has 6 faces in total. Since the numbers 3, 4, and 5 are mentioned on the faces, it is clear that these three faces have those numbers. Therefore, the correct answer is 3 faces.

Explanation

A cube has 6 faces in total. Since the numbers 3, 4, and 5 are mentioned on the faces, it is clear that these three faces have those numbers. Therefore, the correct answer is 3 faces.

7) When was the problem of two-cube calendar first discussed in a publication?

1995

1994

1993

1992

The problem of the two-cube calendar was first discussed in a publication in 1992.

Explanation

The problem of the two-cube calendar was first discussed in a publication in 1992.

8) On how many faces is the solution to the two-cube calendar established?

31 faces

30 faces

3 faces

7 faces

The solution to the two-cube calendar is established on 31 faces. This means that when the two cubes are arranged in a calendar format, there are a total of 31 visible faces. Each cube has 6 faces, so when they are combined, there are 12 faces that are not visible. Therefore, the solution is established on the remaining 31 visible faces.

Explanation

The solution to the two-cube calendar is established on 31 faces. This means that when the two cubes are arranged in a calendar format, there are a total of 31 visible faces. Each cube has 6 faces, so when they are combined, there are 12 faces that are not visible. Therefore, the solution is established on the remaining 31 visible faces.

9) Following Gadner's receipt of an official letter, in which year was the patent of the calendar awarded?

1956

1957

1958

1959

The correct answer is 1957 because the question states that Gardner received an official letter in which year the patent of the calendar was awarded. Since the answer options are in chronological order, we can infer that the patent was awarded in the year after Gardner received the letter, which is 1957.

Explanation

The correct answer is 1957 because the question states that Gardner received an official letter in which year the patent of the calendar was awarded. Since the answer options are in chronological order, we can infer that the patent was awarded in the year after Gardner received the letter, which is 1957.

10) In the solution of the two-cube calendar problem, p is the inverse of what?

T

D

U

Q

In the solution of the two-cube calendar problem, p is the inverse of "d".

Explanation

In the solution of the two-cube calendar problem, p is the inverse of "d".