Claude 3 Sonnet

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

Score:

20

74.1%

Strict score:

16

59.3%

Family:

Claude 3

Size:

70B parameters

License:

Proprietary

Quant type:

Full Float

Question

Correct

Strict Correct

Response

RCL1

Based on the passage, the description that best fits Jim Gilmore's appearance is option B) Short and dark with a big mustache and big hands.

The passage states, "Jim was short and dark with big mustaches and big hands." This directly supports option B as the correct answer.

B

LG3

To solve this logic problem, we need to analyze the given statements and determine which conclusion necessarily follows from them.

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

If both statements are true, then the only possible conclusion is that Andrés was not an employee of Duluth Paper this year.

Here's the reasoning:

1. Statement 1 says that all employees of Duluth Paper received a bonus.
2. Statement 2 says that Andrés did not receive a bonus.
3. If Andrés was an employee of Duluth Paper, he would have received a bonus according to Statement 1.
4. However, since Andrés did not receive a bonus (Statement 2), it means he was not an employee of Duluth Paper this year.

Therefore, the correct answer is:

C) Andrés was not an employee of Duluth Paper this year

RCL3

The correct answer is D) the arrangement of her hair.

The passage states: "Jim noticed that her hair was always neat behind." This detail is specifically mentioned to show that Jim has noticed Liz Coates, particularly the way her hair is arranged neatly.

The other options are not supported by the passage. There is no mention of Jim thinking about Liz frequently (A), her cooking (B), or the whiteness of her teeth (C).

D

RCL4

The repetitive use of "She liked it" in the passage serves to emphasize the degree to which Liz is attracted to Jim and is developing romantic feelings for him. The passage describes Liz noticing various physical attributes of Jim, such as his mustache, his teeth, his tanned arms, and how he doesn't look like a typical blacksmith. The repetition of "She liked it" highlights her growing infatuation with Jim's appearance and mannerisms, suggesting the development of romantic feelings rather than just a casual friendship or admiration. Therefore, the correct answer is:

C

LG1

To solve this problem, we need to analyze the given statement and the implications of each option.

The statement "All of Lisa's sisters can bake" means that if someone is Lisa's sister, then they must be able to bake.

Let's consider each option:

(A) If Jane cannot bake, then she is not Lisa's sister
This statement is true because the given statement implies that if someone is Lisa's sister, they can bake. Therefore, if Jane cannot bake, it follows that she is not Lisa's sister.

(B) If Sarah can bake, then she is not Lisa's sister
This statement is incorrect because the given statement does not imply anything about whether someone who can bake is or is not Lisa's sister. It only states that Lisa's sisters can bake, but it does not exclude the possibility that others who are not her sisters can also bake.

(C) If Mary can bake, then she is Lisa's sister
This statement is incorrect for the same reason as option (B). The given statement does not imply that anyone who can bake must be Lisa's sister.

(D) If Emma is not Lisa's sister, then she cannot bake
This statement is true because the given statement implies that if someone is Lisa's sister, they can bake. Therefore, if Emma is not Lisa's sister, it follows that she cannot bake.

(E) None of these
This option is incorrect because options (A) and (D) are true statements based on the given information.

Therefore, the correct answer is:

A

RCS4

A

RCS5

B

SC1

Elena offered to lend her an extra swimsuit.

SC2

<MISSING CONTENT> He placed it on the board to substitute the missing pawn.

SC4

Jane's phone battery was almost empty.

SC5

"Let's check the storage building's roof," she suggested.

RCS1

C

RCS2

C

RCS3

A

MW4

To solve this problem, we need to express the length and width of the rectangle in terms of a variable, and then use the given information to set up an equation involving the perimeter. After solving the equation, we can find the width of the garden.

Given information:
- The length of the garden is four times its width.
- The perimeter of the garden is 60 feet.

Step 1: Let the width of the garden be x feet.
Then, the length of the garden is 4x feet.

Step 2: The perimeter of a rectangle is equal to 2 × (length + width).
Perimeter = 2 × (length + width)
60 = 2 × (4x + x)
60 = 2 × 5x
60 = 10x

Step 3: Divide both sides by 10 to find the value of x.
x = 60 / 10
x = 6 feet

Therefore, the width of the garden is 6 feet.

The correct answer is:
6 feet

RCL5

The paragraphs primarily serve to juxtapose (contrast) two people's sentiments, with Jim not having any particular feelings towards Liz, while Liz develops a fondness and attraction towards Jim. This is evidenced by the descriptions of Liz's thoughts and feelings about Jim, such as liking the way he walked, his mustache, his teeth when he smiled, and even finding herself liking the way the hair on his arms looked. The contrast is made clear when it states that "he never thought about her."

Therefore, the correct answer is B) Juxtapose two peoples' sentiments.

LG4

To solve this problem, we need to use the given information to assign the family members, locations, and heirlooms to each other.

Given:
- Family members: Grandmother, Father, Mother, Son, and Daughter
- Locations: Mexico, Britain, Canada, Denmark, and Egypt
- Heirlooms: Gold doubloon, broken sword, oceanic map, family tree, and silver watch

1. The person in Britain has the broken sword.
2. The son is not in Denmark, and he does not 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 and is not in Mexico.
5. The grandmother has the gold doubloon and is either in Denmark or Canada.

Let's start by assigning the known information:
- Britain: Broken sword
- Egypt: Family tree
- Mother: Silver watch (not in Mexico)
- Grandmother: Gold doubloon (in Denmark or Canada)

From statement 2, we know that the son is not in Denmark and does not have the gold doubloon or the silver watch. Therefore, he must be in either Mexico or Canada, and he has the oceanic map.

If the daughter has the oceanic map, then the son must have a different heirloom. The only remaining heirloom is the family tree, which is already assigned to the family member in Egypt.

Therefore, the daughter cannot have the oceanic map.

If the daughter does not have the oceanic map, then the son must have it. Since the son is not in Denmark (statement 2), he must be in either Mexico or Canada.

If the son is in Mexico, then the grandmother must be in Canada (statement 5). If the son is in Canada, then the grandmother must be in Denmark (statement 5).

Since the mother is not in Mexico (statement 4), and the other locations are already assigned, the only remaining location for the father is Mexico.

Therefore, the solution is:
- Daughter: (Unknown location)
- Son: Either Mexico or Canada, with the oceanic map
- Mother: (Unknown location other than Mexico), with the silver watch
- Father: Mexico
- Grandmother: Either Denmark or Canada (opposite of the son's location), with the gold doubloon

The daughter's location cannot be determined based on the given information.

Answer: (Unknown location)

LG5

To solve this problem, we need to use the given information to deduce the locations and heirlooms of each family member.

Given:
- The person in Britain has the broken sword.
- The son, who is not in Denmark, neither has the gold doubloon nor the silver watch.
- The family member in Egypt has the family tree.
- The mother has the silver watch but isn't in Mexico.
- The grandmother has the gold doubloon and is either in Denmark or Canada.

If the grandmother is in Denmark, then:
1. The son cannot be in Denmark (since he doesn't have the gold doubloon or the silver watch).
2. The mother cannot be in Denmark (since she has the silver watch).
3. The father must be in Canada (since the grandmother is in Denmark, and the other locations are occupied).
4. The son must be in Mexico (since he is not in Denmark and doesn't have the heirlooms of Britain or Egypt).
5. The daughter must be in Britain (since she has the broken sword).

Therefore, if the grandmother is in Denmark, the mother must be in Canada.

Answer:
Canada

LO1

▲, ◆, ★

LO2

★▲◆●

LO3

▲, ★, ●, ◆

LO4

★●▲◆

MW1

To solve this problem, we need to set up an equation based on the given information and then solve for the value of n.

Given information:
- Each student is supposed to write n verses.
- Each student is also supposed to write twice as many verses as their class rank.
- The 7th student wrote 20 verses.

Let's represent the number of verses written by the 7th student as an equation:
n + 2 × 7 = 20

Step 1: Simplify the equation by evaluating the expression on the right-hand side.
2 × 7 = 14

Step 2: Substitute the simplified expression into the equation.
n + 14 = 20

Step 3: Subtract 14 from both sides of the equation to isolate n.
n + 14 - 14 = 20 - 14
n = 6

Therefore, the value of n, which represents the number of verses each student is supposed to write, is 6.

Answer: n = 6

MW2

To solve this problem, we need to substitute the given values of x and y into the expression x ◘ y = 2x - 3y + 1.

Given:
x = 4
y = 3

Substituting these values into the expression, we get:
4 ◘ 3 = 2(4) - 3(3) + 1
       = 8 - 9 + 1
       = -1

Therefore, the value of 4 ◘ 3 is:

-1

MW3

To solve this problem, we need to find the time it takes for John to travel the given distance at a constant speed.

Given information:
- Distance from John's home to the park = 60 miles
- John's driving speed = 30 miles per hour (mph)

We can use the formula:
Time = Distance / Speed

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

Step 2: Simplify the expression by dividing the distance by the speed.
Time = 60 / 30
Time = 2 hours

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

Answer: 2 hours

LG2

To solve this problem, we need to analyze the given statements and use logical reasoning to determine which of the options must be true if the statements are true.

Given statements:
1. "All members of the chess team are also members of the robotics club."
2. "No members of the basketball team are members of the chess team."

Let's evaluate each option:

(A) If Izak is in the robotics club, then he is not on the basketball team.
This statement is not necessarily true based on the given information. Being in the robotics club does not preclude someone from being on the basketball team.

(B) If Jerry is in the robotics club, then he is on the chess team.
This statement must be true according to the first given statement. If Jerry is in the robotics club, then he must also be a member of the chess team.

(C) If Lisa is on the basketball team, then she is not in the robotics club.
This statement is not necessarily true based on the given information. Being on the basketball team does not preclude someone from being in the robotics club.

(D) If Sanjit is on the chess team, then he is on the basketball team.
This statement cannot be true based on the second given statement, which states 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 statement must be true based on the first given statement. If Seong-Jin is not in the robotics club, then he cannot be a member of the chess team.

Therefore, the correct answer is:

B

MW5

To solve this problem, we need to analyze the possible cases of integers between 100 and 199 that have exactly one duplicate digit.

Case 1: The duplicate digit is in the tens' and ones' places.
For example: 122, 133, 144, ..., 199
There are 9 possible choices for the duplicate digit (1 to 9), and for each choice, there are 8 possible choices for the non-duplicate digit in the hundreds' place (1 to 8).
Number of integers in this case = 9 × 8 = 72

Case 2: The duplicate digit is in the hundreds' and tens' places.
For example: 110, 220, 330, ..., 880
There are 9 possible choices for the duplicate digit (1 to 9), and for each choice, there are 9 possible choices for the non-duplicate digit in the ones' place (0 to 9, excluding the duplicate digit).
Number of integers in this case = 9 × 9 = 81

Case 3: The duplicate digit is in the hundreds' and ones' places.
This is the case given in the question: 909
There is only 1 integer in this case.

Total number of integers with exactly one duplicate digit = 72 + 81 + 1 = 154

The correct answer is:
154