Llama 3.1 8B Instruct

Score051015202527Size (bn params, log scale)0.5110101001000Llama 3.1 8B Instruct

Score:

16

59.3%

Strict score:

11

40.7%

Family:

Llama 3

Size:

8B parameters

License:

Llama 3 Community

Quant type:

Q4 K M

Question

Correct

Strict Correct

Response

RCL5

The paragraphs primarily serve to juxtapose two peoples' sentiments, specifically the contrast between Liz's strong feelings for Jim and Jim's lack of awareness of her feelings.

RCS5

A) underscore an astounding fact

RCS4

A

LG1

Let's analyze the given statement: "All of Lisa's sisters can bake."

This statement implies that every individual who is Lisa's sister has the ability to bake.

Now, let's examine each of the options:

(A) "If Jane cannot bake, then she is not Lisa's sister"

This statement is not necessarily true. Jane might not be able to bake, but still be Lisa's sister, as long as there is at least one other sister who can bake.

(B) "If Sarah can bake, then she is not Lisa's sister"

This statement is also not necessarily true. Sarah might be able to bake, but still be Lisa's sister, as long as she is not the only one who can bake.

(C) "If Mary can bake, then she is Lisa's sister"

This statement is not necessarily true. Mary might be able to bake, but not be Lisa's sister. There could be another individual who is Lisa's sister and can bake.

(D) "If Emma is not Lisa's sister, then she cannot bake"

This statement is not necessarily true. Emma might not be Lisa's sister, but still be able to bake.

(E) "None of these"

Given the analysis above, none of the statements must be true. The original statement only implies that all of Lisa's sisters can bake, but it does not establish a connection between being able to bake and being Lisa's sister or not being Lisa's sister.

_____________________

E

RCL1

B) 

The passage describes Jim as "short and dark" and mentions that he has "big mustaches" and "big hands." This matches option B, which is the correct description of Jim's appearance.

LG4

From statement 3, we know the family member in Egypt has the family tree. Since the daughter has the oceanic map, she cannot be in Egypt.

From statement 5, we know the grandmother has the gold doubloon and is either in Denmark or Canada. Since the son, who is not in Denmark, neither has the gold doubloon nor the silver watch (statement 2), the son must be in Mexico.

The mother has the silver watch but isn't in Mexico (statement 4), so the mother must be in Britain. However, the person in Britain has the broken sword (statement 1), so the mother cannot be in Britain. This is a contradiction.

Let's re-evaluate our assumptions. If the son is in Mexico, the mother must be in Britain (statement 4). But this conflicts with statement 1. The only way to resolve this is if the son is not in Mexico, which contradicts statement 2.

However, we can try another approach. If the grandmother is in Denmark or Canada (statement 5), and the son is not in Denmark (statement 2), then the son must be in Mexico. But this still leads to a contradiction.

Let's analyze the statement 2 again. It says the son, who is not in Denmark, neither has the gold doubloon nor the silver watch. This means the son must be in Mexico, and the grandmother must be in Denmark or Canada.

Now, let's think about the statement 3. It says the family member in Egypt has the family tree. Since the son is in Mexico, the family member in Egypt must be the grandmother.

We can now conclude that the grandmother is in Egypt and has the family tree. The grandfather must be in Denmark or Canada, and the gold doubloon is with him.

Now, let's go back to the question. If the daughter has the oceanic map, where is she located?

Since the son is in Mexico, and the grandmother is in Egypt, the daughter must be in Britain or Canada.

From statement 1, we know the person in Britain has the broken sword. The mother has the silver watch but isn't in Mexico (statement 4). So, the mother must be in Britain. This means the daughter cannot be in Britain.

Therefore, the daughter must be in Canada.

_

Correct answer: Canada

MW4

Let's break down the problem step by step.

Analysis:
The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width)
We are given that the length is four times the width, so we can write the length as 4w, where w is the width.
We are also given that the perimeter is 60 feet.

Step 1: Substitute the length in terms of the width into the perimeter formula.
Perimeter = 2(4w + w)
= 2(5w)
= 10w

Step 2: Since the perimeter is 60 feet, set up an equation:
10w = 60

Step 3: Solve for w by dividing both sides by 10:
w = 60 / 10
w = 6

The width of the garden is 6 feet.

MW1

Let's break down the information given in the problem. The 7th student wrote 20 verses, and this student is supposed to write n verses, plus twice as many verses as their class rank (which is 7).

Let's denote the number of verses the student is supposed to write as n, and the number of verses that is twice the class rank as 2 × 7 = 14. We know that the total number of verses the student wrote is 20.

We can set up an equation to represent the situation:

n + 14 = 20

Now, let's solve for n. To isolate n, we need to subtract 14 from both sides of the equation:

n = 20 - 14
n = 6

So, the value of n is 6.

 

n = 6

LG2

From the first statement, we know that all chess team members are in the robotics club. From the second statement, we know that no basketball team members are on the chess team. Combining these two, we can conclude that no basketball team members are in the robotics club.

Now, let's examine each option:

(A) If Izak is in the robotics club, then he is not on the basketball team: This is not necessarily true, since Izak could be on the chess team and therefore in the robotics club.

(B) If Jerry is in the robotics club, then he is on the chess team: This is not necessarily true, since Jerry could be in the robotics club but not on the chess team.

(C) If Lisa is on the basketball team, then she is not in the robotics club: This must be true, since we know that no basketball team members are in the robotics club.

(D) If Sanjit is on the chess team, then he is on the basketball team: This is not necessarily true, since Sanjit could be on the chess team but not on the basketball team.

(E) If Seong-Jin is not in the robotics club, then he is not on the chess team: This is not necessarily true, since Seong-Jin could be on the chess team but not in the robotics club.

The correct answer is:

C

RCS3

A)

RCL3

The author includes the detail that Jim "never thought about her" to contrast with the fact that Liz has strong feelings for Jim, showing that Jim has not reciprocated those feelings, which is an indirect way of showing that Jim has noticed Liz Coates.

A new line and the letter corresponding to the correct answer: D

LO1

◆, ▲, ★

LG5

Let's break down the information step by step:

1. The person in Britain has the broken sword. (Already known)
2. The son, who is not in Denmark, neither has the gold doubloon nor the silver watch. (This implies the son is in Mexico, as it's the only other country not mentioned yet)
3. The family member in Egypt has the family tree. (This could be any of the family members, but it's not relevant to the grandmother's location)
4. The mother has the silver watch but isn't in Mexico. (This implies the mother is either in Britain, Canada, or Denmark)
5. The grandmother has the gold doubloon and is either in Denmark or Canada. (This is the most relevant information for our question)

Since the grandmother has the gold doubloon and is either in Denmark or Canada, and we know the son is in Mexico (from statement 2), we can deduce that the grandmother is in Denmark (since the son is not in Denmark, but the grandmother is).

Now, the question asks where the Mother is, given that the Grandmother is in Denmark. We know from statement 4 that the Mother has the silver watch but isn't in Mexico. We also know from statement 1 that the person in Britain has the broken sword, and the Mother is not in Britain (since the grandmother is in Denmark, and the Mother has the silver watch).

Therefore, the Mother must be in Canada.

LO2

◆, ★, ●, ▲

LO3

▲, ▲, ★, ●, ◆

LO4

◆
▲
★
●
▲

MW2

To find the value of 4 ◘ 3, we need to substitute x = 4 and y = 3 into the given operation.

The operation is defined as x ◘ y = 2x - 3y + 1.

Substituting x = 4 and y = 3 into the operation, we get:

4 ◘ 3 = 2(4) - 3(3) + 1

First, calculate the products:
2(4) = 8
3(3) = 9

Now, substitute these values back into the equation:
4 ◘ 3 = 8 - 9 + 1

Next, perform the subtractions and additions from left to right:
8 - 9 = -1
-1 + 1 = 0

Therefore, the value of 4 ◘ 3 is 0.



0

MW3

To determine the time it will take John to reach the park, we need to use the formula: time = distance / speed.

First, we identify the given values: distance = 60 miles, and speed = 30 miles per hour.

Next, we plug these values into the formula: time = 60 miles / 30 mph.

To solve for time, we perform the division operation: time = 2 hours.

 

time = 2 hours

MW5

To solve this problem, we need to consider the possible combinations of digits for a three-digit number where exactly one digit is repeated.

The hundreds' digit can be any number from 1 to 9, and the tens' digit can be any number from 0 to 9, except for the hundreds' digit (to avoid duplication). The ones' digit must be the same as the hundreds' digit, since it is the only place where the digit is repeated.

Since the hundreds' digit must be less than 9, and the tens' digit must be less than the hundreds' digit (to avoid duplication), the possible combinations of digits are:

* 1 _ 1 (hundreds' digit = 1, tens' digit = 0, 2, 3, 4, 5, 6, 7, 8; 8 combinations)
* 2 _ 2 (hundreds' digit = 2, tens' digit = 0, 1, 3, 4, 5, 6, 7, 8; 8 combinations)
* 3 _ 3 (hundreds' digit = 3, tens' digit = 0, 1, 2, 4, 5, 6, 7, 8; 8 combinations)
* 4 _ 4 (hundreds' digit = 4, tens' digit = 0, 1, 2, 3, 5, 6, 7, 8; 8 combinations)
* 5 _ 5 (hundreds' digit = 5, tens' digit = 0, 1, 2, 3, 4, 6, 7, 8; 8 combinations)
* 6 _ 6 (hundreds' digit = 6, tens' digit = 0, 1, 2, 3, 4, 5, 7, 8; 8 combinations)
* 7 _ 7 (hundreds' digit = 7, tens' digit = 0, 1, 2, 3, 4, 5, 6, 8; 8 combinations)
* 8 _ 8 (hundreds' digit = 8, tens' digit = 0, 1, 2, 3, 4, 5, 6, 7; 8 combinations)
* 9 _ 9 is not valid, since it duplicates the digit 9 twice.

Since there are 8 valid combinations for each hundreds' digit, and there are 9 possible hundreds' digits (1 to 9), the total number of integers greater than 99 and less than 200 with exactly one duplicate digit is:

8 x 9 = 72

Therefore, the correct answer is 72.

SC1

Elena offered to lend Sofie one of her swimsuits, a bright pink one that she wore on Fridays.

SC2

Ben handed her the missing black pawn, which was tucked inside his hatband.

SC4

She had just received a notification from the park rangers about a storm warning.

SC5

Mia suggested that they check the storage building's attic, which was occasionally used as an equipment closet.

RCS1

C)

RCS2

C

LG3

If all employees of Duluth Paper received a bonus, and Andrés did not receive a bonus, then it must be true that Andrés is not an employee of Duluth Paper. The statements do not address what other companies' employees received, so we can't conclude anything about that.

C)

RCL4

The author's repetitive use of "She liked it" serves to emphasize the closeness with which Liz studies Jim's appearance and mannerisms, highlighting the development of her crush on him. 

D