SHSAT 1.2 Logic

1. There are seven students on line at the cafeteria: two freshmen, two juniors, and three seniors. The two freshmen are standing next to each other, and the juniors are standing next to each other. If the second person on line is a senior, which other position must also be a senior?

First

Third

Fourth

Fifth

Seventh

Question 1 of 10

Professors who are sponsored by research company X are expected to publish at least 2 articles for research company X’s science magazine per year. Professor Dickinson published only one article for research company X’s science magazine last year.

Based on the information above, which of the following statements is a valid conclusion?

Professor Dickinson is not sponsored by research company X.

If Professor Dickinson was more active, he would publish more articles.

If all professors wrote only one article per year, no one would be sponsored.

If Professor Dickinson is sponsored by research company X, he has not done what is expected of him.

Professor Dickinson must teach extra classes to make up for missed articles.

Question 2 of 10

3. There are five different colored blocks stacked one on top of another, numbered 1 to 5 from top to bottom.
1. The yellow block is below the blue block.
2. The purple block is between the red block and yellow block.
3. The red block is above the green block.
4. The yellow block is second from the bottom.

What position is the red block in?

Either 1 or 2, but it is not possible to determine which one.

Either 2 or 3, but it is not possible to determine which one.

Question 3 of 10

If you are rich, then you own diamonds.

Based only on the information above, which of the following statements must be true?

If you own diamonds, then you are rich.

If you are not rich, then you do not own diamonds.

All diamonds are rich

If you do not own diamonds, then you are not rich.

No poor people own diamonds.

Question 4 of 10

5. Steve is a courier for Eaglewood Postal Services. He must make stops at A&L Law Firm, Eaglewood Library, DR Pharmacy, Capital Bank, and Tony’s Pizzeria.
1. He must stop at Tony’s Pizzeria before Eaglewood Library.
2. He will stop at either A&L Law Firm or DR Pharmacy for the third stop.
3. He will stop at either A&L Law Firm or DR Pharmacy for the last stop.

If he stops at Capital Bank first, which of the following statements must be true?

The third stop is A&L Law Firm.

The fourth stop is Eaglewood Library.

He stops at Tony’s Pizzeria immediately before stopping at A&L Law Firm.

He stops at Eaglewood Library before stopping at DR Pharmacy.

He stops at DR Pharmacy before stopping at A&L Law Firm.

Question 5 of 10

6. Four cups are placed next to each other, numbered 1 through 4 from left to right.
1. The brown cup is directly to the right of the orange cup.
2. The cup with coffee is to the left of the cup with water.
3. The white cup does not have water.
4. The orange cup has tea.
5. The purple cup, which is at the furthest right, has lemonade.

Based on the information above, which of the following statements must be true?

The white cup has coffee and is furthest to the left.

The brown cup has coffee and is second from the left.

The brown cup has coffee and is second from the right.

The white cup has coffee and is second from the right.

The orange cup has tea and is furthest to the left.

Question 6 of 10

7. In the code below, (1) each letter represents the same word, (2) each word is represented by only one letter, and (3) in any given sentence, the position of the letter may or may not be the same as the word it represents.
H C G M D means
Dolan watches basketball at home.
G E B C F means
Gary watches documentaries at school.
I L G C H means
Kina watches volleyball at home.
C K F H G means
Alexandra watches documentaries at home.

Which letter represents “school”?

Cannot be determined from the information given

Question 7 of 10

8. In the code below, (1) each letter represents the same word, (2) each word is represented by only one letter, and (3) in any given sentence, the position of the letter may or may not be the same as the word it represents.
H C G M D means

Dolan watches basketball at home.
G E B C F means

Gary watches documentaries at school.
I L G C H means

Kina watches volleyball at home.
C K F H G means
Alexandra watches documentaries at home.

What word does the letter H represent?

watches

documentary

home

Cannot be determined from the information given

Question 8 of 10

9. If Stephanie graduates from college, she will get a good job. Stephanie will buy a car if she gets a good job. Which of the following statements must be true?

Stephanie likes having a good job and cars.

People who graduate from college buy cars.

Stephanie will buy a car if she graduates from college

If Stephanie does not graduate from college, then she will not buy a car.

If Stephanie bought a car, then she must have graduated from college.

Question 9 of 10

10. All pathologists are scientists. Some of the lab assistants at the medical center are pathologists. None of the technicians at the medical center are lab assistants.

If the above statements are true, which of the following statement must also be true?

Some of the technicians at the medical center are not scientists.

None of the technicians at the medical center are pathologists.

All of the lab assistants at the medical center are scientists.

All pathologists are lab assistants at the medical center.

Some scientists are lab assistants at the medical center.

Question 10 of 10