Claude 3 Opus

Score051015202527Size (bn params, log scale)0.5110101001000Claude 3 Opus

Score:

26

96.3%

Strict score:

21

77.8%

Family:

Claude 3

Size:

2000B parameters

License:

Proprietary

Quant type:

Full Float

Question

Correct

Strict Correct

Response

SC2

He placed it on the empty square and said, "This can be our makeshift pawn."

SC4

"My phone's dead and I forgot the charger," she said

RCS1

C

RCS2

C

MW4

Okay, let's approach this step-by-step:

1. Let's define the variables:
   - Let the width of the garden be 'w' feet.
   - Since the length is four times the width, the length will be '4w' feet.

2. We know that the perimeter of a rectangle is given by the formula:
   Perimeter = 2 × (length + width)

3. Substituting the given perimeter and the expressions for length and width:
   60 = 2 × (4w + w)
   60 = 2 × 5w
   60 = 10w

4. To find the width, divide both sides by 10:
   60 ÷ 10 = 10w ÷ 10
   6 = w

Therefore, the width of the garden is 6 feet.

6 feet

RCL3

The author includes the detail that Jim noticed "her hair was always neat behind" to show that Jim has noticed Liz Coates.

D

RCL4

The repetitive use of "She liked it" in the passage serves to emphasize the growing attraction and infatuation that Liz Coates feels towards Jim Gilmore. The repeated phrase highlights how Liz is paying close attention to various aspects of Jim's appearance and mannerisms, indicating her increasing interest in him.

The phrase "She liked it" is used to describe Liz's feelings about Jim's mustache, his smile, his appearance as a blacksmith, and even specific details like the hair on his arms. This repetition underscores the intensity of her observation and the depth of her feelings, which go beyond mere friendliness or a blossoming friendship.

Therefore, the best answer is:
D) closeness with which one person studies another

RCL5

The primary purpose of paragraphs 2 and 3 is to contrast Liz's feelings towards Jim with Jim's feelings towards Liz. The passage describes in detail how much Liz likes various aspects of Jim's appearance and demeanor, while also stating that Jim "never thought about her." This juxtaposition highlights the difference in their sentiments toward each other.

B

LG1

Let's analyze each answer choice:

(A) If Jane cannot bake, then she is not Lisa's sister
This statement is logically equivalent to the original statement. If all of Lisa's sisters can bake, then anyone who cannot bake is not Lisa's sister.

(B) If Sarah can bake, then she is not Lisa's sister
This is incorrect. The original statement does not imply that only Lisa's sisters can bake. Sarah could be able to bake without being Lisa's sister.

(C) If Mary can bake, then she is Lisa's sister
This is incorrect. The original statement does not imply that everyone who can bake is Lisa's sister. Mary could be able to bake without being Lisa's sister.

(D) If Emma is not Lisa's sister, then she cannot bake
This is incorrect. The original statement does not imply anything about people who are not Lisa's sisters. Emma could be able to bake even if she is not Lisa's sister.

(E) None of these
This is incorrect because answer choice (A) is a logically equivalent statement to the original.

A

LG2

Let's analyze the statements and answer choices:

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.
   - However, it doesn't necessarily mean that all members of the robotics club are on the chess team.

2. "No members of the basketball team are members of the chess team."
   - This statement indicates that there is no overlap between the basketball team and the chess team.
   - If someone is on the basketball team, they cannot be on the chess team, and vice versa.

Now, let's evaluate each answer choice:

(A) If Izak is in the robotics club, then he is not on the basketball team.
   - We can't determine this based on the given statements. Izak could be in the robotics club without being on the chess team, and the statements don't mention any relation between the robotics club and the basketball team.

(B) If Jerry is in the robotics club, then he is on the chess team.
   - This is not necessarily true. The first statement only says that all chess team members are in the robotics club, but not all robotics club members are on the chess team.

(C) If Lisa is on the basketball team, then she is not in the robotics club.
   - We can't determine this based on the given statements. The statements don't mention any direct relation between the basketball team and the robotics club.

(D) If Sanjit is on the chess team, then he is on the basketball team.
   - This is false. The second statement clearly says that no members of the basketball team are members of the chess team.

(E) If Seong-Jin is not in the robotics club, then he is not on the chess team.
   - This must be true. According to the first statement, all members of the chess team are also members of the robotics club. So, if Seong-Jin is not in the robotics club, he cannot be on the chess team.

Therefore, the correct answer is (E).

E

LG5

Let's analyze the given information:

1. The person in Britain has the broken sword.
2. The son is not in Denmark and doesn't have the gold doubloon or the silver watch.
3. The family member in Egypt has the family tree.
4. The mother has the silver watch but isn't in Mexico.
5. The grandmother has the gold doubloon and is either in Denmark or Canada.

We are given that the Grandmother is in Denmark. This means:
- The Grandmother is in Denmark and has the gold doubloon.
- The Mother has the silver watch and is not in Mexico.
- The person in Britain has the broken sword.
- The family member in Egypt has the family tree.
- The Son is not in Denmark and doesn't have the gold doubloon or the silver watch.

Since the Mother is not in Mexico, and Denmark, Britain, and Egypt are occupied by other family members, the Mother must be in the remaining country, which is Canada.

Canada

RCS4

C

RCS5

B

SC1

offered to lend Sofie one of her many colorful swimsuits so they could enjoy the pool together.

SC5

She suggested checking the storage building's roof, where stray balls often ended up after particularly energetic games.

RCS3

A

RCL1

Based on the description in the passage, Jim Gilmore is described as "short and dark with big mustaches and big hands." This matches option B.

B

LG3

To determine which statement must be true, let's analyze the given information:

1. "All employees of Duluth Paper received a bonus this year"
2. "Andrés did not receive a bonus this year"

If both statements are true, we can conclude that Andrés is not an employee of Duluth Paper. If he were an employee, he would have received a bonus according to the first statement. Since he did not receive a bonus, he cannot be an employee of Duluth Paper.

Now, let's examine each option:

A) Not all employees of Duluth Paper received a bonus this year - This contradicts the first statement, so it cannot be true.
B) No one who received a bonus is an employee of Duluth Paper - This contradicts the first statement, so it cannot be true.
C) Andrés was not an employee of Duluth Paper this year - This aligns with our conclusion based on the given statements.
D) Andrés received a bonus this year - This contradicts the second statement, so it cannot be true.
E) None of these - This is incorrect because option C is true.

Therefore, the correct answer is C.

C

LO1

Here is the most logical chronological sequence for the given events:

▲. Max borrows his mom's camera to take photos of his school science project.
◆. Max accidentally deletes all the photos his mom took on their vacation last month.
★. Max downloads a new software program to try and recover the photos.

LO2

Here is the most logical chronological sequence for the given events:

★. Lucky the rabbit's owner, Vidya, schedules a minor surgery for him due to the growth of a benign tumor.
◆. Dr. Hahn washes his hands thoroughly in preparation for the surgery.
●. Lucky is put under anesthesia, and Dr. Hahn starts the procedure.
▲. The veterinary assistant calls Lucky's owner to inform her that the surgery was successful.

LO3

Here is the most logical chronological sequence for the given events:

▲. Asim bought a ring with something special in mind.
★. Asim proposed to Meriem during a romantic dinner.
●. Asim and Meriem had a beautiful ceremony surrounded by friends and family.
◆. The newlyweds arrived at the airport to start their honeymoon.

LO4

★
●
▲
◆

MW1

Let's approach this problem step by step:

1. Understand the given information:
   * Each student writes n verses, plus twice their class rank.
   * The 7th student wrote 20 verses.

2. Let's represent the number of verses written by the 7th student using an equation:
   * Number of verses = n + 2 × class rank
   * 20 = n + 2 × 7

3. Simplify the equation:
   * 20 = n + 14

4. Solve the equation for n:
   * Subtract 14 from both sides of the equation:
     20 - 14 = n + 14 - 14
     6 = n

Therefore, the value of n is 6.

n = 6

MW2

To find the value of 4 ◘ 3, we need to substitute x with 4 and y with 3 in the given formula for the operation ◘.

Given:
x ◘ y = 2x - 3y + 1

Step 1: Substitute x with 4 and y with 3 in the formula.
4 ◘ 3 = 2(4) - 3(3) + 1

Step 2: Simplify the expression.
4 ◘ 3 = 8 - 9 + 1
4 ◘ 3 = 0

Therefore, the value of 4 ◘ 3 is 0.

Answer: 0

MW3

To find out how long it will take John to reach the park, we need to use the formula:

Time = Distance ÷ Speed

Given:
- Distance from John's home to the park: 60 miles
- John's driving speed: 30 mph

Step 1: Substitute the given values into the formula.
Time = 60 miles ÷ 30 mph

Step 2: Perform the division.
Time = 2 hours

Therefore, it will take John 2 hours to reach the park driving at a steady speed of 30 mph.

2 hours

LG4

Let's solve this step by step:

1. From statement 1, we know that the person in Britain has the broken sword.

2. From statement 2, we can deduce that the son doesn't have the gold doubloon, the silver watch, and is not in Denmark.

3. Statement 3 tells us that the family member in Egypt has the family tree.

4. According to statement 4, the mother has the silver watch and is not in Mexico.

5. Statement 5 reveals that the grandmother has the gold doubloon and is either in Denmark or Canada.

Now, let's assign the items and locations:

- The daughter has the oceanic map (given in the question).
- The grandmother has the gold doubloon and is either in Denmark or Canada (statement 5).
- The mother has the silver watch and is not in Mexico (statement 4).
- The person in Britain has the broken sword (statement 1).
- The family member in Egypt has the family tree (statement 3).

Since the grandmother is either in Denmark or Canada, and the son is not in Denmark (statement 2), the grandmother must be in Canada, and the son must be in Denmark.

The only remaining location is Mexico, and since the daughter has the oceanic map, she must be in Mexico.

Mexico

MW5

Let's approach this step by step:

1) First, let's consider the possible hundreds' digits. Since the numbers are between 99 and 200, the hundreds' digit can only be 1.

2) Now, let's consider the tens' digit. It can be any digit from 0 to 9.

3) For each tens' digit, the ones' digit can be either the same as the hundreds' digit (1) or the same as the tens' digit.

4) If the tens' digit is 1, then the ones' digit must also be 1 to create a duplicate. This gives us one number: 111.

5) For each of the other 9 possibilities for the tens' digit (0 and 2-9), we have two possibilities:
   - The ones' digit is 1, duplicating the hundreds' digit.
   - The ones' digit is the same as the tens' digit.

6) This gives us 9 × 2 = 18 more numbers.

7) In total, we have 1 + 18 = 19 numbers that fit the criteria.

19