(A) polished

(A) underscore an astounding fact

✅

offered to lend Sofie one of her colorful swimsuits for the day.

✅

He placed the hat on the board, saying, "This can be our pawn!"

"We missed our stop by two hours!"

✅

Mia suggested checking the storage building for any forgotten equipment from earlier in the week.

✅

C

✅

C

✅

A

The passage describes Jim Gilmore as "short and dark with big mustaches and big hands." This directly matches option B, which provides a clear and accurate depiction of his appearance as described in the text.

Therefore, the correct answer is:

B

✅

Let's start by defining the variables for the dimensions of the garden. 

Let the width of the garden be \( w \) feet. According to the problem, the length of the garden is four times its width, so we can express the length as:

\[
l = 4w
\]

Next, we know that the formula for the perimeter \( P \) of a rectangle is given by:

\[
P = 2l + 2w
\]

We are given that the perimeter is 60 feet, so we can set up the equation:

\[
2l + 2w = 60
\]

Now, we can substitute \( l \) with \( 4w \) in the perimeter equation:

\[
2(4w) + 2w = 60
\]

This simplifies to:

\[
8w + 2w = 60
\]

Combining like terms gives us:

\[
10w = 60
\]

Now, we can solve for \( w \) by dividing both sides of the equation by 10:

\[
w = \frac{60}{10} = 6
\]

Thus, the width of the garden is:

\[
\text{Width} = 6 \text{ feet}
\]

Finally, we conclude with the answer:

6

✅

The passage indicates that Jim Gilmore has not actively thought much about Liz Coates, despite noticing certain aspects of her appearance. The text specifically mentions that Jim liked Liz's face because it was jolly, but he "never thought about her." This suggests that Jim's awareness of her is limited and does not extend to deeper feelings or thoughts about her. Thus, he does not show signs of having noticed her in any significant way, especially compared to how Liz feels about him.

Given this analysis, the correct answer is that none of the options accurately depict Jim's awareness of Liz. However, since option D ("the arrangement of her hair") is the only detail related to his observation of her, it stands out, even if it doesn't imply deep acknowledgment.

Therefore, the answer is: 

D

✅

The author's repetitive use of "She liked it" serves to emphasize the closeness with which one person studies another. This repetition highlights Liz's detailed observations and her growing affection for Jim as she notices various aspects of him, reflecting her intimate attention to his characteristics and actions.

D

✅

The passage focuses on the feelings and perceptions of Liz Coates towards Jim Gilmore, highlighting her admiration and affection for him. It contrasts Jim's physical characteristics and the way Liz perceives them with her own feelings about him. Therefore, the primary purpose of the two paragraphs is to juxtapose the sentiments of Liz regarding Jim.

Thus, the correct answer is:  
B

▲. ★. ◆.

✅

★, ◆, ●, ▲

✅

▲ ★ ● ◆

✅

★ ● ▲ ◆

✅

Let's analyze the problem step by step.

1. **Understanding the Variables**:
   - Let \( n \) be the number of verses each student is supposed to write.
   - Each student also writes additional verses based on their class rank. The rank of the 7th student is 7.

2. **Verses Written by the 7th Student**:
   - According to the problem, the 7th student wrote a total of 20 verses. 
   - The total verses written can be represented as:
     \[
     \text{Total Verses} = n + 2 \times \text{(Class Rank)}
     \]
   - For the 7th student, this becomes:
     \[
     20 = n + 2 \times 7
     \]

3. **Setting Up the Equation**:
   - Substitute the class rank into the equation:
     \[
     20 = n + 14
     \]

4. **Solving for n**:
   - To isolate \( n \), subtract 14 from both sides:
     \[
     20 - 14 = n
     \]
     \[
     n = 6
     \]

Thus, the value of \( n \) is:

6

✅

To determine how long it will take John to reach the park, we can use the formula for time:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

In this case, the distance to the park is 60 miles, and John's speed is 30 miles per hour (mph). 

Now we can plug in the values:

\[
\text{Time} = \frac{60 \text{ miles}}{30 \text{ mph}} = 2 \text{ hours}
\]

Thus, it will take John 2 hours to reach the park.

2 hours

To find the integers greater than 99 and less than 200 that have exactly one duplicate digit, we will consider the three-digit integers in the range from 100 to 199, since this is the only relevant range for our question.

1. **Understanding the range**: The three-digit integers we are considering will all start with the digit '1' in the hundreds place since we are looking for numbers between 100 and 199.

2. **Form of the number**: The numbers can be expressed as 1XY, where X and Y are the digits in the tens and units places respectively. Here, X and Y can each be any digit from 0 to 9.

3. **Conditions for duplication**: We need to ensure that one digit is duplicated while the other is different. This gives us two scenarios:
   - Case 1: X = 1 and Y is different from 1.
   - Case 2: Y = 1 and X is different from 1.

**Case 1: X = 1**
- The number takes the form 11Y, where Y can be any digit from 0 to 9 except 1 (to ensure that we only have one duplicate).
- Valid choices for Y are: 0, 2, 3, 4, 5, 6, 7, 8, 9 (total of 9 options).

**Case 2: Y = 1**
- The number takes the form 1X1, where X can be any digit from 0 to 9 except 1 (again, to ensure that we only have one duplicate).
- Valid choices for X are: 0, 2, 3, 4, 5, 6, 7, 8, 9 (total of 9 options).

4. **Calculating total valid integers**:
- From Case 1, we found 9 valid integers (11Y).
- From Case 2, we also found 9 valid integers (1X1).

5. **Adding the results**: 
Since there is no overlap between the two cases (a number cannot be of the form 11Y and 1X1 simultaneously), we can simply add the valid options from both cases:

Total integers = 9 (from Case 1) + 9 (from Case 2) = 18.

Thus, the total number of integers greater than 99 and less than 200 that have exactly one duplicate digit is:

18

✅

To analyze the statements:

1. The first statement indicates that all employees of Duluth Paper received a bonus this year.
2. The second statement indicates that Andrés did not receive a bonus this year.

Since the first statement asserts that all employees received a bonus, and Andrés did not receive a bonus, it implies that Andrés cannot be an employee of Duluth Paper. If he were an employee, he would have received a bonus according to the first statement.

Now let's evaluate the options:

A) Not all employees of Duluth Paper received a bonus this year - This is true because Andrés did not receive a bonus, which contradicts the first statement if we assume he was an employee.

B) No one who received a bonus is an employee of Duluth Paper - This is not necessarily true. The statement does not provide information about other employees who did receive bonuses.

C) Andrés was not an employee of Duluth Paper this year - This must be true since if he were an employee, he would have received a bonus.

D) Andrés received a bonus this year - This is false because the second statement explicitly states that he did not receive a bonus.

E) None of these - This is incorrect since option C must be true.

Given the analysis, the correct answer is:

C

✅

To analyze the statement "All of Lisa's sisters can bake," we need to determine what must also be true given this information.

Let's break down the options:

(A) If Jane cannot bake, then she is not Lisa's sister.
- This must be true because if Jane were Lisa's sister, she would be able to bake. Since she cannot bake, she cannot be Lisa's sister.

(B) If Sarah can bake, then she is not Lisa's sister.
- This is not necessarily true. Just because Sarah can bake does not mean she cannot be Lisa's sister. In fact, if she is Lisa's sister, she would be able to bake.

(C) If Mary can bake, then she is Lisa's sister.
- This is not necessarily true either. Just because Mary can bake does not mean she must be Lisa's sister. There could be non-sisters who can also bake.

(D) If Emma is not Lisa's sister, then she cannot bake.
- This is also not necessarily true. Even if Emma is not Lisa's sister, she could still be someone who can bake.

(E) None of these.
- Since we found that option (A) is true, this option is incorrect.

Considering the analysis, the correct answer is:

A

To analyze the statements:

1. "All members of the chess team are also members of the robotics club." 
   - This means that if someone is on the chess team, they must also be in the robotics club.

2. "No members of the basketball team are members of the chess team."
   - This means that if someone is on the basketball team, they cannot be on the chess team.

Now, let's evaluate each option:

(A) If Izak is in the robotics club, then he is not on the basketball team.
   - This is not necessarily true. Izak could be in the robotics club without being on the chess team or the basketball team.

(B) If Jerry is in the robotics club, then he is on the chess team.
   - This is not true. There can be members of the robotics club who are not on the chess team.

(C) If Lisa is on the basketball team, then she is not in the robotics club.
   - This must be true. Since members of the basketball team cannot be on the chess team, and all members of the chess team are in the robotics club, Lisa cannot be in the robotics club if she is on the basketball team.

(D) If Sanjit is on the chess team, then he is on the basketball team.
   - This is false. Sanjit could be on the chess team, and according to the statements, he cannot be on the basketball team.

(E) If Seong-Jin is not in the robotics club, then he is not on the chess team.
   - This is true. If he is not in the robotics club, then he cannot be on the chess team, as all chess team members are in the robotics club.

The only statement that must be true based on the given information is (C).

Therefore, the correct answer is:

C

Let's analyze the statements step by step to identify where each family member is located and what they possess:

1. **The person in Britain has the broken sword.**  
   - So, we know that Britain = broken sword.

2. **The son, who is not in Denmark, neither has the gold doubloon nor the silver watch.**  
   - This means the son does not have the gold doubloon or silver watch, and is not in Denmark.

3. **The family member in Egypt has the family tree.**  
   - So, Egypt = family tree.

4. **The mother has the silver watch but isn't in Mexico.**  
   - Therefore, Mother = silver watch and is not in Mexico.

5. **The grandmother has the gold doubloon and is either in Denmark or Canada.**  
   - This means Grandmother = gold doubloon and is either in Denmark or Canada.

Now, let's summarize what we know so far:

- **Britain** = broken sword (from statement 1)
- **Egypt** = family tree (from statement 3)
- **Mother** = silver watch and not in Mexico (from statement 4)
- The **son** does not have the gold doubloon or silver watch, and is not in Denmark (from statement 2).
- The **grandmother** has the gold doubloon and is either in Denmark or Canada (from statement 5).

From these statements, we can infer:

- Since the son cannot be in Denmark and the grandmother could be in Denmark or Canada, the grandmother must be in Canada. Therefore, the grandmother is in Canada with the gold doubloon.
- The mother cannot be in Mexico and must have the silver watch, so she must be in either Britain, Denmark, or Egypt. However, Britain has the broken sword and Egypt has the family tree. Therefore, the mother must be in Denmark.
- This means the son must be in Mexico as he cannot be in Denmark or Canada, and he cannot have the gold doubloon or silver watch. Thus, the son must have the oceanic map.
- Finally, since the daughter is the only family member left, she must be in Egypt with the family tree.

Now we know:
- Grandmother: Canada, gold doubloon
- Father: Britain, broken sword
- Mother: Denmark, silver watch
- Son: Mexico, oceanic map
- Daughter: Egypt, family tree

Since you asked where the daughter is located, she is in Egypt.

Answer:
Egypt

To solve the problem, let's analyze the clues step by step:

1. From clue 1, we know that the person in Britain has the broken sword.
2. From clue 2, the son is not in Denmark and does not have the gold doubloon or the silver watch. This means the son must be in either Mexico or Canada, and he has either the oceanic map or the broken sword (but the broken sword is already taken by the person in Britain).
3. From clue 3, the family member in Egypt has the family tree. This indicates that neither the son nor the mother can be in Egypt since we know the mother has the silver watch and isn't in Mexico (clue 4).
4. From clue 4, since the mother has the silver watch and isn't in Mexico, she must be in either Canada or Denmark.
5. From clue 5, if the grandmother is in Denmark, she has the gold doubloon. 

Now let's summarize the implications:

- If the grandmother is in Denmark, she has the gold doubloon.
- The son cannot be in Denmark, so he must be in Mexico or Canada.
- The mother cannot be in Mexico, and if the grandmother is in Denmark, the only place left for the mother is Canada.
- This means the son must be in Mexico since he cannot be in Denmark and cannot be in Canada.

Now we have:
- Grandmother: Denmark, gold doubloon
- Mother: Canada, silver watch
- Son: Mexico, oceanic map (the only option left)
- The person in Britain has the broken sword (this must be the father).
- The family member in Egypt has the family tree (this must be the daughter).

So, if the Grandmother is in Denmark, the Mother is in Canada.

**Answer: Mother - Canada**

✅

To find the value of \( 4 ◘ 3 \) using the operation defined as \( x ◘ y = 2x - 3y + 1 \), we can follow these steps:

1. Identify the values of \( x \) and \( y \):
   - Here, \( x = 4 \) and \( y = 3 \).

2. Substitute \( x \) and \( y \) into the operation:
   \[
   4 ◘ 3 = 2(4) - 3(3) + 1
   \]

3. Calculate each term:
   - First, calculate \( 2(4) \):
     \[
     2(4) = 8
     \]
   - Next, calculate \( 3(3) \):
     \[
     3(3) = 9
     \]

4. Now, substitute these values back into the expression:
   \[
   4 ◘ 3 = 8 - 9 + 1
   \]

5. Perform the arithmetic step-by-step:
   - First, calculate \( 8 - 9 \):
     \[
     8 - 9 = -1
     \]
   - Then, add \( 1 \):
     \[
     -1 + 1 = 0
     \]

Thus, the value of \( 4 ◘ 3 \) is:

\[
\boxed{0}
\]