## Step 1:  Identify the constraints for the integer.
The integer must be greater than 99 and less than 200, meaning it is a three-digit number.

## Step 2:  Analyze the possible positions of the duplicate digit for a three-digit number.
For a three-digit number with exactly one duplicate digit, the duplicate digit can only be in the ones place, because if it were in the hundreds place, it would be duplicated twice, which contradicts the definition.

## Step 3:  Consider the case where the digit in the ones place is a single digit (1, 2, 3, 4, 5, 6, 7, 8, 9).
Since the digit in the hundreds place must be different from the ones digit, and the tens digit cannot be the ones digit, there are 9 possibilities for the ones digit (1, 2, 3, 4, 5, 6, 7, 8, 9) and 8 possibilities for the hundreds digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, but 0 cannot be the hundreds digit, so we exclude it). However, we have to exclude 000 because the problem states "greater than 99 and less than 200", making 000 not valid. Therefore, the correct number of options for the ones digit is 8.

## Step 4:  Determine the total number of integers with exactly one duplicate digit by multiplying the number of options for the ones digit by the number of options for the hundreds digit.
The total number of integers with exactly one duplicate digit is 8 (for the ones digit) * 9 (for the hundreds digit) = 72.

The final answer is: $\boxed{72}$

✅

(B)

They spent the next few hours setting up camp, cooking dinner, and enjoying the scenic views of the surrounding mountains.

✅

C

D

C

A
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The repetitive use of "She liked it" serves to emphasize the 
correct answer.

What Jim did in the kitchen is black and white.
 Answer: A

If all of Lisa's sisters can bake, then Lisa herself can bake.

Answer: B

Daughter - Egypt

-------------------------

The Grandmother is in Denmark.

Reasoning: 
Since the Grandmother is in Denmark, then she can't have the silver watch, which means she can't be in Mexico or Egypt. She also can't have the gold doubloon because she is in Denmark. Since the Mother is in Egypt, she can't have the family tree, which means the mother must be in Mexico. 

Correct Answer: 
Mother is in Mexico.

◆▲◆
◆▲
◆

◆. 

★. 

▲. 

●.

✅

Let's analyze the situation:

* The 7th student wrote 20 verses.
* The number of verses written is twice the student's rank.
* Since the 7th student's rank is 7, the number of verses written is 2 × 7 = 14.

Now, we need to find the number of verses written by the other students. We know that the first 6 students wrote n verses each, for a total of 6n verses.

Since the 7th student wrote 14 verses, the sum of the verses written by the other 6 students is:

6n + 14

We want to find the value of n that makes this sum equal to 14:

6n + 14 = 14

Subtracting 14 from both sides:

6n = 0

Dividing both sides by 6:

n = 0

Since n cannot be 0, we know that the 7th student is the only student who wrote 14 verses, and the other students wrote 6n = 6 × 0 = 0 verses.

Therefore, n = 6.

✅

To solve the problem, we'll start by substituting x = 4 and y = 3 into the given formula:

x ◘ y = 2x - 3y + 1
4 ◘ 3 = 2(4) - 3(3) + 1
= 8 - 9 + 1
= 0

Therefore, the value of 4 ◘ 3 is 0.

To calculate the time it will take John to reach the park, we need to divide the distance to the park (60 miles) by his steady driving speed (30 mph).

(D)

All statements are true, and option A is the correct answer.

A bonus is only given to employees of Duluth Paper, so it must be true that not all employees of Duluth Paper received a bonus this year.

Elena offered Sofie a borrowed bright pink swimsuit and suggested they change for the day.

Lily and Ben were staying in a resort while on vacation. The resort had a giant chess set in the lobby. One day, when it was raining outside, Lily suggested they play chess to pass the time. After setting up the chess pieces, Lily said with disappointment, “look Ben, this set is missing a pawn.” Ben took off his hat. Lily examined the board, noticing a small piece missing on his side.

The last day of summer camp, Mia recruited a group of students to challenge the camp counselors to a game of volleyball to commemorate their week. The volleyball court was a sandy area with a net next to a low storage building with a flat roof. When the time came for the game, no one could seem to find a ball to play, despite the fact that balls had been plentiful at the beginning of the week. Mia had an idea. One of the counselors replied, "I have the keys." He unlocked the door and together they ascended a narrow staircase.

✅

Jim Gilmore's description is: 
B) Short and dark with a big mustache and big hands.

✅

Let's break this problem down step by step.

Let's denote the width of the garden as W and the length as L. According to the problem, L = 4W.

The perimeter of a rectangle is given by the formula P = 2L + 2W.

We know the perimeter P = 60 feet. Substituting L = 4W into the perimeter formula, we get:

60 = 2(4W) + 2W

Simplifying, we get:

60 = 8W + 2W

Combine like terms:

60 = 10W

Now, divide both sides by 10:

W = 60/10

W = 6

Therefore, the width of the garden is 6 feet.

C
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The detail that the author includes to show that Jim has noticed Liz Coates is that he likes her face because it is "so jolly".

Since all members of the chess team are also members of the robotics club, if Izak is in the robotics club, then he is definitely not in the chess club. Thus, (A) is correct.

If there are no members of the basketball team who are members of the chess team, then Seong-Jin must not be in the chess club. Thus, (E) is correct.

◆▲●★
◆▲●
◆▲●
◆●▲●
◆●

◆ represents the newlyweds arriving at the airport.
▲ represents the proposal during the romantic dinner.
● represents the engagement and the beautiful ceremony.
◆ represents the engagement ring being bought.
◆ represents the honeymoon beginning.
◆ represents the friends and family gathering.

◆. Store the "New Password" as the password
▲. If the check is unsuccessful, print "Unauthorized – try again" and do not complete any more steps
●. Retrieve the password and check that it matches the 'Current Password' input by the user
●. If the check is unsuccessful, print "Unauthorized – try again" and do not complete any more steps
▲. Retrieve the password and check that it matches the 'Current Password' input by the user
◆. Store the "New Password" as the password
●. If the check is unsuccessful, print "Unauthorized – try again" and do not complete any more steps
▲. Retrieve the password and check that it matches the 'Current Password' input by the user
◆. Retrieve the password and check that it matches the 'Current Password' input by the user
▲. Retrieve the password and check that it matches the 'Current Password' input by the user
◆. Store the "New Password" as the password
▲. If the check is unsuccessful, print "Unauthorized – try again" and do not complete any more steps
◆. Retrieve the password and check that it matches the 'Current Password' input by the user
◆. Store the "New Password" as the password
▲. If the check is unsuccessful, print "Unauthorized – try again" and do not complete any more steps
◆. Retrieve the password and check that it matches the 'Current Password' input by the user
◆. Store the "New Password" as the password