At the poetry reading, eight poems-- A, B, C, D, E, F, G, and H-- are to be read exactly once each, one at a time, and one after the other. The order of their performance must follow these rules:

1. H is read either immediately before A or immediately after F.

2. At least two poems are read either after A and before F, or after F and before A.

3. D is read either first or fifth.

4. The last poem read is either C or B.

5. G is read sometime after E.

6. At least one poem is read either after G and before D, or after D and before G. 

E CANNOT be performed

At the poetry reading, eight poems-- A, B, C, D, E, F, G, and H-- are to be read exactly once each, one at a time, and one after the other. The order of their performance must follow these rules:

1. H is read either immediately before A or immediately after F.

2. At least two poems are read either after A and before F, or after F and before A.

3. D is read either first or fifth.

4. The last poem read is either C or B.

5. G is read sometime after E.

6. At least one poem is read either after G and before D, or after D and before G. 

If poem D is read immediately after H, then poem A must be read either

Exactly seven cities—Albany, Boston, Chicago, Denver, El, Paso, Fairbanks, and Glendale—are visited on a politician’s campaign trail. Each city is visited only once during the campaign. No cities are visited at the same time as each other. The following conditions apply to the campaign:

            Chicago is either the third or the fifth city visited.

            Boston is visited immediately before El Paso.

            There is exactly one city visited between Chicago and Glendale.           

            Fairbanks is either the first or the last city visited.

Which of the following could be a complete and accurate order in which the cities are visited from first to last?

Exactly seven cities—Albany, Boston, Chicago, Denver, El, Paso, Fairbanks, and Glendale—are visited on a politician’s campaign trail. Each city is visited only once during the campaign. No cities are visited at the same time as each other. The following conditions apply to the campaign:

            Chicago is either the third or the fifth city visited.

            Boston is visited immediately before El Paso.

            There is exactly one city visited between Chicago and Glendale.           

            Fairbanks is either the first or the last city visited.

If El Paso is visited sixth, which of the following must be true?

Exactly seven cities—Albany, Boston, Chicago, Denver, El, Paso, Fairbanks, and Glendale—are visited on a politician’s campaign trail. Each city is visited only once during the campaign. No cities are visited at the same time as each other. The following conditions apply to the campaign:

            Chicago is either the third or the fifth city visited.

            Boston is visited immediately before El Paso.

            There is exactly one city visited between Chicago and Glendale.           

            Fairbanks is either the first or the last city visited.

If Glendale is the last city visited, it must not be true that

A security technician is programming a company’s security code. The keypad consists of exactly six numbers—0, 1, 2, 3, 4, 5—and each number can only be used once. The code must conform to the following conditions:

The code must be at least four digits long.

The first digit is an odd number.

If 2 is used 3 is also used, and 2 must come before 3.

0 and 4 are always used.

Which is an acceptable sequence of numbers for the code?

A security technician is programming a company’s security code. The keypad consists of exactly six numbers—0, 1, 2, 3, 4, 5—and each number can only be used once. The code must conform to the following conditions:

The code must be at least four digits long.

The first digit is an odd number.

If 2 is used 3 is also used, and 2 must come before 3.

0 and 4 are always used.

If 3 is not used how many possible digits could be used last?

Future Tech Industries employs exactly two scientists: P and Q. The company also employs exactly three engineers: R, S, and T. On a workday all five employees must use the company lab exactly once, according to the following conditions:

Only one employee uses the lab at a time.

Each employee focuses their research on either energy or health, but not both.

Employee P focuses on health.

Employees Q and R focus on energy.

All health focused employees use the lab before any energy focused employees.

Any energy focused engineer uses the lab before any energy focused scientist.

If employee S uses the lab third, then each of the following can be true EXCEPT:

Future Tech Industries employs exactly two scientists: P and Q. The company also employs exactly three engineers: R, S, and T. On a workday all five employees must use the company lab exactly once, according to the following conditions:

Only one employee uses the lab at a time.

Each employee focuses their research on either energy or health, but not both.

Employee P focuses on health.

Employees Q and R focus on energy.

All health focused employees use the lab before any energy focused employees.

Any energy focused engineer uses the lab before any energy focused scientist.

Which one of the following must be true?

Future Tech Industries employs exactly two scientists: P and Q. The company also employs exactly three engineers: R, S, and T. On a workday all five employees must use the company lab exactly once, according to the following conditions:

Only one employee uses the lab at a time.

Each employee focuses their research on either energy or health, but not both.

Employee P focuses on health.

Employees Q and R focus on energy.

All health focused employees use the lab before any energy focused employees.

Any energy focused engineer uses the lab before any energy focused scientist.

If employee S uses the lab sometime before employee P, then which one of the following must be false?