Claude 3.5 Sonnet

Score051015202527Size (bn params, log scale)0.5110101001000Claude 3.5 Sonnet

Score:

24

88.9%

Strict score:

21

77.8%

Family:

Claude 3.5

Size:

70B parameters

License:

Proprietary

Quant type:

Full Float

Question

Correct

Strict Correct

Response

RCS4

B

RCS5

B

SC1

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

SC2

Ben placed his hat on the empty square, saying, "We can use this as a substitute pawn."

SC4

"We forgot to charge our phones last night," she groaned.

SC5

Mia suggested, "Maybe there's a ball on the storage building's roof. Can we check up there?"

RCS1

C

RCS2

C

RCS3

A

RCL3

Let's analyze this passage to answer the question:

1. The passage doesn't mention Jim thinking about Liz frequently. In fact, it explicitly states, "he never thought about her."

2. There's no mention of Jim's opinion on Liz's cooking.

3. The whiteness of teeth is mentioned, but it's Liz who likes Jim's white teeth, not the other way around.

4. The passage does mention that "Jim noticed that her hair was always neat behind." This is the only detail that directly indicates Jim noticing something about Liz.

Based on this analysis, the correct answer is:

D

MW4

Let's approach this step-by-step:

1. Let's define our variables:
   w = width of the garden
   l = length of the garden

2. We're told that the length is four times the width:
   l = 4w

3. We know the formula for the perimeter of a rectangle:
   Perimeter = 2l + 2w

4. We're given that the perimeter is 60 feet:
   60 = 2l + 2w

5. Let's substitute l with 4w from step 2:
   60 = 2(4w) + 2w

6. Simplify:
   60 = 8w + 2w
   60 = 10w

7. Solve for w:
   w = 60 ÷ 10
   w = 6

Therefore, the width of the garden is 6 feet.

6 feet

RCL1

Let's analyze the description of Jim Gilmore provided in the passage:

1. "Jim was short and dark with big mustaches and big hands."
2. "He was a good horseshoer and did not look much like a blacksmith even with his leather apron on."
3. "She liked it about his mustache."
4. "She liked it how much A. J. Smith and Mrs. Smith liked Jim."
5. "One day she found that she liked it the way the hair was black on his arms and how white they were above the tanned line when he washed up in the washbasin outside the house."

The passage directly states that Jim was short and dark with big mustaches and big hands. It also mentions his black arm hair and tanned skin, which is consistent with the description of him being dark. There's no mention of him being tall, slender, blond, muscular, or having a beard or neatly combed hair.

Based on this information, the correct answer is:

B

LG3

Let's analyze this logically:

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

If both these statements are true, we can deduce that Andrés cannot be an employee of Duluth Paper. If he were, he would have received a bonus according to the first statement, which contradicts the second statement.

Let's look at each option:

A) This contradicts the first statement, so it can't be true.
B) This is too extreme and not necessarily true. Some people who received bonuses could be Duluth Paper employees.
C) This is the logical conclusion from the two given statements.
D) This directly contradicts the second statement, so it can't be true.
E) This is not correct because we found a statement (C) that must be true.

Therefore, the correct answer is:

C

MW5

Let's approach this step-by-step:

1) We're looking at numbers from 100 to 199, inclusive.

2) For a number in this range to have exactly one duplicate digit, the duplicate must be either:
   a) The 1 in the hundreds place and one of the other digits
   b) The digit in the tens place and the digit in the ones place

3) Let's consider case (a) first:
   - We can have 110, 111, 112, 113, 114, 115, 116, 117, 118, 119
   That's 10 numbers.

4) Now for case (b):
   - We can have 100, 122, 133, 144, 155, 166, 177, 188, 199
   That's 9 numbers.

5) Adding the numbers from both cases:
   10 + 9 = 19

Therefore, there are 19 integers greater than 99 and less than 200 that have exactly one duplicate digit.

19

LG2

Let's analyze each statement and option:

1. "All members of the chess team are also members of the robotics club."
   This means: Chess team ⊆ Robotics club

2. "No members of the basketball team are members of the chess team."
   This means: Basketball team ∩ Chess team = ∅

Now, let's evaluate each option:

(A) Incorrect. Being in the robotics club doesn't necessarily mean someone isn't on the basketball team.

(B) Incorrect. Being in the robotics club doesn't necessarily mean someone is on the chess team.

(C) Correct. If Lisa is on the basketball team, she can't be on the chess team (from statement 2). And since all chess team members are in the robotics club (statement 1), Lisa can't be in the robotics club either.

(D) Incorrect. Being on the chess team means Sanjit is in the robotics club, not the basketball team.

(E) Incorrect. Not being in the robotics club doesn't necessarily mean someone isn't on the chess team.

The only option that must be true based on the given statements is C.

C

LG5

Let's approach this step-by-step:

1. We know the Grandmother is either in Denmark or Canada, and has the gold doubloon.
2. The Mother has the silver watch and isn't in Mexico.
3. The person in Britain has the broken sword.
4. The family member in Egypt has the family tree.
5. The Son is not in Denmark and doesn't have the gold doubloon or silver watch.

Given that the Grandmother is in Denmark (as per the question):

- Grandmother: Denmark, gold doubloon
- Father or Son: Britain, broken sword
- Mother: Not in Mexico, has silver watch
- Son or Father: Not in Denmark, doesn't have gold doubloon or silver watch
- Daughter or Mother: Egypt, family tree

The only remaining country is Canada. Since the Mother isn't in Mexico and isn't in Egypt (as she doesn't have the family tree), she must be in Canada.

Canada

LO1

▲, ◆, ★

LO2

Here's the most logical chronological sequence for these events:

★ → ◆ → ● → ▲

This order represents:
1. Scheduling the surgery
2. Preparing for the surgery
3. Performing the surgery
4. Informing about the surgery's outcome

LO3

▲★●◆

LO4

Here's the most logical order for the steps using the provided symbols:

★●▲◆

This order represents:
1. User inputs 'Current Password' and 'New Password'
2. Retrieve the password and check that it matches the 'Current Password' input by the user
3. If the check is unsuccessful, print "Unauthorized – try again" and do not complete any more steps
4. Store the "New Password" as the password and notify the user "Password successfully set"; do not complete any more steps

RCL4

Let's analyze this question:

1. The phrase "She liked it" is indeed repeated several times in the passage, specifically in reference to Liz's feelings about Jim.

2. This repetition is used to list various aspects of Jim that Liz finds appealing, from his walk to his mustache, his teeth, his appearance, and even the hair on his arms.

3. The repetition creates a sense of Liz noticing more and more details about Jim, suggesting she's paying very close attention to him.

4. This isn't about a friendship blossoming, as the observations are one-sided (Liz observing Jim).

5. It's not about Liz's general friendliness, as these observations are specific to Jim.

6. While it could be interpreted as an expression of love, the text doesn't explicitly state this, and the feelings seem to be developing rather than persistent.

7. The repetition most strongly emphasizes how Liz is studying Jim closely, noticing many small details about him.

Given these points, the answer that best fits is:

D

MW1

Let's approach this problem step-by-step:

1. Let's define our variables:
   n = the base number of verses each student is supposed to write
   r = the student's class rank

2. We're given that the total number of verses a student writes is:
   Total verses = n + 2r

3. We know that for the 7th student:
   - Their rank (r) is 7
   - They wrote 20 verses in total

4. Let's plug this information into our equation:
   20 = n + 2(7)

5. Simplify the right side of the equation:
   20 = n + 14

6. To solve for n, subtract 14 from both sides:
   20 - 14 = n + 14 - 14
   6 = n

Therefore, the value of n is 6.

n = 6

MW2

Let's approach this step-by-step:

1. We're given the definition of the operation ◘:
   For any real numbers x and y, x ◘ y = 2x - 3y + 1

2. We need to find the value of 4 ◘ 3, so let's substitute:
   x = 4
   y = 3

3. Now, let's apply the formula:
   4 ◘ 3 = 2(4) - 3(3) + 1

4. Let's solve the operations in parentheses:
   4 ◘ 3 = 8 - 9 + 1

5. Now we can perform the arithmetic:
   8 - 9 = -1
   -1 + 1 = 0

Therefore, 4 ◘ 3 = 0

0

RCL5

Let's analyze these paragraphs:

Paragraph 2 mainly describes Liz Coates, her appearance, and how Jim perceives her. It mentions that Jim notices certain things about Liz but "never thought about her."

Paragraph 3 focuses on Liz's feelings toward Jim. It lists numerous things that Liz likes about Jim, from his appearance to how others perceive him. The paragraph ends with Liz realizing that her feelings for Jim are becoming romantic.

These paragraphs are not primarily about:
A) Contrasting appearances - while appearances are mentioned, it's not the main focus.
C) Differentiating ways of life - their lifestyles are not really discussed.
D) Demonstrating feelings toward occupations - while their jobs are mentioned, it's not about how they feel about their work.

The primary purpose of these paragraphs is to show the difference between Jim's lack of romantic interest in Liz and Liz's growing romantic interest in Jim. This is a juxtaposition of their sentiments or feelings toward each other.

B

LG1

Let's analyze this logically:

1. The given statement is "All of Lisa's sisters can bake."

2. This means that being Lisa's sister implies the ability to bake. However, it doesn't mean that everyone who can bake is Lisa's sister.

3. Let's examine each option:

   (A) If Jane cannot bake, then she is not Lisa's sister
      This is correct. Since all of Lisa's sisters can bake, anyone who cannot bake cannot be Lisa's sister.

   (B) If Sarah can bake, then she is not Lisa's sister
      This is incorrect. Sarah being able to bake doesn't tell us anything about whether she's Lisa's sister or not.

   (C) If Mary can bake, then she is Lisa's sister
      This is incorrect. Being able to bake is necessary but not sufficient to be Lisa's sister.

   (D) If Emma is not Lisa's sister, then she cannot bake
      This is incorrect. Not being Lisa's sister doesn't tell us anything about Emma's baking ability.

   (E) None of these
      This is incorrect because option (A) is true.

Therefore, the correct answer is:

A

MW3

Let's approach this problem step-by-step:

1. Understand the given information:
   * The distance to the park is 60 miles
   * John's driving speed is 30 mph (miles per hour)

2. Recall the formula for time:
   Time = Distance ÷ Speed

3. Apply the formula with our given values:
   Time = 60 miles ÷ 30 mph

4. Perform the division:
   Time = 2 hours

5. Check our answer:
   * If John travels at 30 mph for 2 hours, he will cover:
     30 mph × 2 hours = 60 miles
   * This matches the given distance, so our calculation is correct.

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

2 hours

LG4

Let's approach this step-by-step:

1. We know the person in Britain has the broken sword.
2. The son is not in Denmark and doesn't have the gold doubloon or silver watch.
3. The person 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 in either Denmark or Canada.

Now, let's deduce:
- The daughter has the oceanic map (given in the question).
- The grandmother is in either Denmark or Canada with the gold doubloon.
- The mother is not in Mexico and has the silver watch.
- Someone is in Egypt with the family tree.
- Someone is in Britain with the broken sword.

We can conclude:
- The son must have the broken sword and be in Britain (as he doesn't have the watch or doubloon).
- The person in Egypt with the family tree can't be the son, daughter, mother, or grandmother, so it must be the father.
- The mother, having the watch, must be in either Mexico, Canada, or Denmark.
- If the mother is in Canada or Denmark, the grandmother would have to be in the other of those two countries.
- This leaves Mexico as the only possible location for the daughter.

Therefore, the daughter, who has the oceanic map, must be in Mexico.

Mexico