The passage focuses on the contrasting feelings of Jim and Liz towards each other. 
\
...B 

✅

The statement tells us that being Lisa's sister is sufficient for being able to bake. This me The correct answer is the contrapositive of the statement. 
<br>
**A** 

✅

★, ◆, ●, ▲ 

✅

▲ ★ ● ◆ 

✅

## Analyzing the Poetry Problem

We know the total number of verses written by the 7th student is 20. This total is composed of a fixed number of verses (n) and a variable number of verses based on their class rank. Since the student is 7th, they have to write 2 * 7 = 14 verses based on their rank.

We can set up an equation to represent this:

Total Verses = Fixed Verses + Rank-Based Verses
20 = n + 14

Solving for n:

n = 20 - 14 

Therefore:

n = 6 

✅

## Analyzing the Problem

We are asked to find the value of 4 ◘ 3 using the given definition of the operation ◘. This means we need to substitute 4 for x and 3 for y in the expression 2x - 3y + 1.

## Solving the Problem

1. **Substitute the values:** Replace x with 4 and y with 3 in the expression: 2(4) - 3(3) + 1

2. **Perform the multiplications:** 8 - 9 + 1

3. **Perform the subtractions and addition from left to right:** -1 + 1

4. **Find the final answer:** 0

## Solution

0 

## Analyzing the Problem

We know the total distance John needs to travel (60 miles) and his planned speed (30 mph). We need to find the time it takes him to cover that distance. 

## Using the Formula

The relationship between distance, speed, and time is given by the formula:

`Time = Distance / Speed`

## Calculating the Time

Plugging in the given values:

`Time = 60 miles / 30 mph`

`Time = 2 hours`

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

✅

**C** 

✅

**C** 

✅

The second statement says Andrés did not receive a bonus, and the first statement says all Duluth Paper employees got a bonus. The only way both of these statements can be true is if Andrés is not a Duluth Paper employee. 
<br>
**C** 

The passage states that Jim "noticed that her hair was always neat behind." This suggests that he has paid attention to her appearance. 
\
D) 

**(B)** 

✅

**(B)** 

✅

offered to lend her one. 

He placed it upside down on the board. 

"The train was 2 hours early!" 

✅

"Maybe there's one in the storage shed." 

✅

A 

The passage states that "Jim was short and dark with big mustaches and big hands," which directly corresponds with answer choice B. 
***
B 

✅

## Analysis:

1. **Define variables:** Let's call the width of the garden "w" and the length "l". 
2. **Set up equations:** We know that the length is four times the width, so we can write l = 4w. We also know that the perimeter of a rectangle is given by P = 2l + 2w, and in this case, the perimeter is 60 feet. So, we have 60 = 2l + 2w.
3. **Substitute and solve:** We can substitute the first equation into the second equation to eliminate "l" and solve for "w": 60 = 2(4w) + 2w, which simplifies to 60 = 10w. Dividing both sides by 10, we get w = 6.

Therefore, the width of the garden is 6 feet.
***
**6 feet** 

## Solving the Family Locations

We know the following:

* **Britain:** Broken Sword (from statement 1)
* **Egypt:** Family Tree (from statement 3)
* **Not Denmark:** Son (from statement 2)
* **Not Mexico:** Mother with Silver Watch (from statement 4)

From statement 5, the Grandmother with the Gold Doubloon is either in Denmark or Canada. Since the Son is not in Denmark, the Grandmother must be in **Denmark**. This leaves **Canada** for the Daughter with the Oceanic Map. 

---

**Canada** 

✅

The repeated phrase highlights Liz's growing attraction to Jim and her focus on his specific traits and actions. This suggests an infatuation or developing feelings of love. 
\
D

We know that all chess team members are in the robotics club, and no basketball team members are in the chess team.

(A) We don't know if Izak being in the robotics club guarantees he's not on the basketball team. He could be in neither, or just robotics.
(B) Jerry being in the robotics club doesn't guarantee he's on the chess team. He could be in neither, or just robotics.
(C) If Lisa is on the basketball team, she cannot be on the chess team (from the second statement). Since all chess members are in robotics, she also cannot be in robotics.
(D) Sanjit being on the chess team doesn't mean he's on the basketball team. These groups are separate.
(E) If Seong-Jin is not in the robotics club, he cannot be on the chess team, as all chess members are in robotics.

Therefore, the correct answer is:
**C** 

✅

## Solving the Family Puzzle

We know the following:

* **Britain**: Broken Sword
* **Egypt**: Family Tree
* **Not Denmark**: Son (no Doubloon or Watch)
* **Not Mexico**: Mother (has Watch)
* **Denmark or Canada**: Grandmother (has Doubloon)

**Scenario: Grandmother in Denmark**

If the Grandmother is in Denmark, then the Son cannot be in Denmark (from clue 2). This leaves Canada, Mexico, and Britain for the Son. However, Britain has the sword, so the Son can only be in **Canada or Mexico**.

Since the Mother has the watch and cannot be in Mexico (clue 4), she must be in the remaining location, which is **Canada**. 

Therefore, if the Grandmother is in Denmark, the Mother is in **Canada**. 
***
**Canada** 

✅

▲ ◆ ★ 

✅

★ ● ▲ ◆ 

## Analysis: 

To have exactly one duplicate digit, the hundreds digit must be 1.

There are two possible scenarios:

1. **Tens digit is the same as the hundreds digit (1):** The units digit can be any number from 0 to 9 except 1, giving us 9 possibilities (110, 112, 113, ..., 119).
2. **Units digit is the same as the hundreds digit (1):** The tens digit can be any number from 0 to 9 except 1, giving us another 9 possibilities (101, 121, 131, ..., 191).

Therefore, there are a total of 9 (scenario 1) + 9 (scenario 2) = 18 such numbers.
***
## Answer: 18