Take Home Exam (2)

1. Choose

82

-82

58

-58

not-available-via-ai

Explanation

not-available-via-ai

2. Choose

Zero

2

5

4

not-available-via-ai

Explanation

not-available-via-ai

3. Choose

1

-1

0

2

The correct answer is -1 because it is the only negative number among the given options.

Explanation

The correct answer is -1 because it is the only negative number among the given options.

4. Choose

18

10

6

3

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Explanation

not-available-via-ai

5. Choose

5

10

2

1

Among the given options, 1 is the only number that is less than 5, 10, and 2. Therefore, it is the correct answer.

Explanation

Among the given options, 1 is the only number that is less than 5, 10, and 2. Therefore, it is the correct answer.

6. Choose

-1

1

3/5

4/5

The given options are -1, 1, 3/5, and 4/5. Among these options, the number 1 is the only whole number, while the rest are fractions or negative numbers. Therefore, the correct answer is 1.

Explanation

The given options are -1, 1, 3/5, and 4/5. Among these options, the number 1 is the only whole number, while the rest are fractions or negative numbers. Therefore, the correct answer is 1.

7. Choose

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

8. Choose

(1,2,3)

(2,1,3)

(3,1,2)

(3,2,1)

The correct answer is (1,2,3) because it is the only option where the numbers are in ascending order. The other options have at least one number that is out of order.

Explanation

The correct answer is (1,2,3) because it is the only option where the numbers are in ascending order. The other options have at least one number that is out of order.

9. Choose

3

4

17

7

not-available-via-ai

Explanation

not-available-via-ai

10. Choose

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

11. Choose

2 or 1

2 or 3 or 1

3

2 or 3 or -1

The correct answer is 2 or 3 or -1 because these are the options that are mentioned in the given choices. The question asks to choose between 2, 3, and -1, and the correct answer is any of these three options.

Explanation

The correct answer is 2 or 3 or -1 because these are the options that are mentioned in the given choices. The question asks to choose between 2, 3, and -1, and the correct answer is any of these three options.

12. Choose

0

1

-1

3

The given options are 0, 1, -1, and 3. The correct answer is 0. This means that out of the given options, 0 is the correct choice.

Explanation

The given options are 0, 1, -1, and 3. The correct answer is 0. This means that out of the given options, 0 is the correct choice.

13. Choose

-1

1

3

0

not-available-via-ai

Explanation

not-available-via-ai

14. Choose

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

15. Choose

2/3

2/5

3/2

1

The correct answer is 2/3. This can be determined by simplifying the fraction 2/3, which cannot be simplified any further. Therefore, 2/3 is the simplest form of the fraction and is the correct answer.

Explanation

The correct answer is 2/3. This can be determined by simplifying the fraction 2/3, which cannot be simplified any further. Therefore, 2/3 is the simplest form of the fraction and is the correct answer.

16. Choose

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

17. Choose

-2/19

2/19

5/19

1/3

The correct answer is -2/19. This can be determined by comparing the given options and selecting the one that matches the pattern or rule being followed. Without further information or context, it is difficult to provide a specific explanation for why -2/19 is the correct answer.

Explanation

The correct answer is -2/19. This can be determined by comparing the given options and selecting the one that matches the pattern or rule being followed. Without further information or context, it is difficult to provide a specific explanation for why -2/19 is the correct answer.

18. Choose

(10,5/6)

(10,-5)

(3,5/6)

(3,-5)

The given answer (10,5/6) is the correct choice because it matches the format of a coordinate point, with the first value representing the x-coordinate and the second value representing the y-coordinate. The other options do not follow this format and are therefore incorrect.

Explanation

The given answer (10,5/6) is the correct choice because it matches the format of a coordinate point, with the first value representing the x-coordinate and the second value representing the y-coordinate. The other options do not follow this format and are therefore incorrect.

19. Choose

1

-1

-2

2

The correct answer is 1 because it is the only positive number among the given options. The other numbers (-1, -2, and 2) are negative or have a negative sign.

Explanation

The correct answer is 1 because it is the only positive number among the given options. The other numbers (-1, -2, and 2) are negative or have a negative sign.

20. Choose

(1+i,-1-i)

(1+i,-1+i)

(-1+i,-1+i)

(2+i,-2-i)

The correct answer is (1+i, -1-i) because it is the only option that satisfies the condition of having the imaginary parts of the complex numbers being different. The other options either have the same imaginary parts or have a different real part.

Explanation

The correct answer is (1+i, -1-i) because it is the only option that satisfies the condition of having the imaginary parts of the complex numbers being different. The other options either have the same imaginary parts or have a different real part.