Llama 3 Refueled

Score051015202527Size (bn params, log scale)0.5110101001000Llama 3 Refueled

Score:

16

59.3%

Strict score:

8

29.6%

Family:

Llama 3

Size:

8B parameters

License:

CC by NC 4.0

Quant type:

Q4 K M

Question

Correct

Strict Correct

Response

MW3

To find the time it takes for John to reach the park, we need to divide the distance by his speed.

Time = Distance / Speed
         = 60 miles / 30 mph
         = 2 hours

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

LG3

A) Not all employees of Duluth Paper received a bonus this year

RCS4

(B) sophisticated

RCS5

A

SC1

Elena was happy that she could share her swimsuit with her friend

SC2

He put the hat on the board as a replacement for the pawn

SC4

Her phone was already running out of power

SC5

They went to the storage building and retrieved a ball

RCS1

C) By preserving it with salt

RCS2

C

RCS3

A

RCL1

B

RCL3

D

RCL4

A) degree to which a friendship has blossomed

RCL5

B

LG1

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

LG2

A

LG4

Based on the given information, we can deduce that the daughter must be in Mexico because she has the oceanic map and the mother has the silver watch but isn't in Mexico.

Correct answer: Mexico

LG5

If the Grandmother is in Denmark, then the Mother must be in Canada, as they are the only two remaining locations for the family members.

LO1

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

LO2

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

LO3

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

LO4

★. User inputs 'Current Password' and 'New Password'
●. 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
◆. Store the "New Password" as the password and notify the user "Password successfully set"; do not complete any more steps

MW1

Let's denote the number of verses the 7th student wrote as x. According to the given information, the 7th student wrote 20 verses, which is twice the number of their class rank. This means the class rank of the 7th student is 20/2 = 10. 

Now, let's denote the number of verses the 1st student wrote as n. According to the given information, the 1st student wrote n + 2 * 10 = n + 20 verses. 

Since the 7th student's class rank is 10, they are the 10th student. Therefore, the number of verses they wrote is n + 2 * 10 = 20. 

Substituting the known values, we have: n + 20 = 20. 

Solving for n, we have: n = 0. 

However, this result does not make sense, as a student cannot write 0 verses. There must be a mistake in the given information or the problem statement. Please double-check the given information and the problem statement.

MW2

To find the value of 4 ◘ 3, we substitute x = 4 and y = 3 into the expression x ◘ y = 2x - 3y + 1.

So, 4 ◘ 3 = 2(4) - 3(3) + 1.

Calculating, we get 4 ◘ 3 = 8 - 9 + 1.

Simplifying, we find 4 ◘ 3 = -1.

Thus, the value of 4 ◘ 3 is -1.

MW5

To solve this problem, we need to find the number of three-digit integers between 100 and 199 that have only one duplicate digit.

Consider the possible combinations of digits for the hundreds' place and the ones' place:

1. 100: 0, 1, 0
2. 101: 0, 1, 1 (duplicate, not allowed)
3. 102: 0, 2, 0
4. 103: 0, 3, 0
5. 104: 0, 4, 0
6. 105: 0, 5, 0
7. 106: 0, 6, 0
8. 107: 0, 7, 0
9. 108: 0, 8, 0
10. 109: 0, 9, 0
11. 110: 1, 1, 0
12. 111: 1, 1, 1 (duplicate, not allowed)
13. 112: 1, 2, 0
14. 113: 1, 3, 0
15. 114: 1, 4, 0
16. 115: 1, 5, 0
17. 116: 1, 6, 0
18. 117: 1, 7, 0
19. 118: 1, 8, 0
20. 119: 1, 9, 0
21. 120: 1, 2, 1 (duplicate, not allowed)
22. 121: 1, 2, 2 (duplicate, not allowed)
23. 122: 1, 2, 3
24. 123: 1, 2, 4
25. 124: 1, 2, 5
26. 125: 1, 2, 6
27. 126: 1, 2, 7
28. 127: 1, 2, 8
29. 128: 1, 2, 9
30. 129: 1, 3, 1 (duplicate, not allowed)
31. 130: 1, 3, 2
32. 131: 1, 3, 3 (duplicate, not allowed)
33. 132: 1, 3, 4
34. 133: 1, 3, 5
35. 134: 1, 3, 6
36. 135: 1, 3, 7
37. 136: 1, 3, 8
38. 137: 1, 3, 9
39. 138: 1, 4, 1 (duplicate, not allowed)
40. 139: 1, 4, 2
41. 140: 1, 4, 3
42. 141: 1, 4, 4 (duplicate, not allowed)
43. 142: 1, 4, 5
44. 143: 1, 4, 6
45. 144: 1, 4, 7
46. 145: 1, 4, 8
47. 146: 1, 4, 9
48. 147: 1, 5, 1 (duplicate, not allowed)
49. 148: 1, 5, 2
50. 149: 1, 5, 3
51. 150: 1, 5, 4
52. 151: 1, 5, 5 (duplicate, not allowed)
53. 152: 1, 5, 6
54. 153: 1, 5, 7
55. 154: 1, 5, 8
56. 155: 1, 5, 9
57. 156: 1, 6, 1 (duplicate, not allowed)
58. 157: 1, 6, 2
59. 158: 1, 6, 3
60. 159: 1, 6, 4
61. 160: 1, 6, 5
62. 161: 1, 6, 6 (duplicate, not allowed)
63. 162: 1, 6, 7
64. 163: 1, 6, 8
65. 164: 1, 6, 9
66. 165: 1, 7, 1 (duplicate, not allowed)
67. 166: 1, 7, 2
68. 167: 1, 7, 3
69. 168: 1, 7, 4
70. 169: 1, 7, 5
71. 170: 1, 7, 6
72. 171: 1, 7, 7 (duplicate, not allowed)
73. 172: 1, 7, 8
74. 173: 1, 7, 9
75. 174: 1, 8, 1 (duplicate, not allowed)
76. 175: 1, 8, 2
77. 176: 1, 8, 3
78. 177: 1, 8, 4
79. 178: 1, 8, 5
80. 179: 1, 8, 6
81. 180: 1, 8, 7
82. 181: 1, 8, 8 (duplicate, not allowed)
83. 182: 1, 8, 9
84. 183: 1, 9, 1 (duplicate, not allowed)
85. 184: 1, 9, 2
86. 185: 1, 9, 3
87. 186: 1, 9, 4
88. 187: 1, 9, 5
89. 188: 1, 9, 6
90. 189: 1, 9, 7
91. 190: 1, 9, 8
92. 191: 1, 9, 9 (duplicate, not allowed)
93. 192: 1, 9, 0
94. 193: 1, 9, 1 (duplicate, not allowed)
95. 194: 1, 9, 2
96. 195: 1, 9, 3
97. 196: 1, 9, 4
98. 197: 1, 9, 5
99. 198: 1, 9, 6
100. 199: 1, 9, 7
101. 200: 2, 0, 0

Out of the 100 three-digit integers between 100 and 199, 19 of them have exactly one duplicate digit. Therefore, the answer is 19.

MW4

Let's denote the width of the garden as W. Since the length is four times the width, the length is 4W.
The perimeter of a rectangle is given by the formula: P = 2L + 2W
In this case, the perimeter is 60 feet, so we have:
60 = 2(4W) + 2W
Simplifying the equation, we get:
60 = 8W + 2W
Combining like terms, we get:
60 = 10W
Dividing both sides by 10, we get:
W = 6
The width of the garden is 6 feet.