Gemini Pro 1.0

Score051015202527Size (bn params, log scale)0.5110101001000Gemini Pro 1.0

Score:

19

70.4%

Strict score:

15

55.6%

Family:

Gemini

Size:

175B parameters

License:

Proprietary

Quant type:

Full Float

Question

Correct

Strict Correct

Response

RCS5

A

SC1

offered to lend Sofie one of her extra swimsuits.

SC2

"I'll use this as the missing pawn."

SC4

"Oh no, my phone is dead!"

SC5

She led them to the low storage building and climbed onto the roof.

RCS3

A

RCL1

B

LG3

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

RCL4

A

RCL5

B

LO1

▲★◆

LO2

★◆●▲

LO3

▲●★◆

LO4

★●▲◆

RCS4

A

RCS1

C

RCS2

C

MW4

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

The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Substituting the values we have, we get:

60 = 2(4x + x)
60 = 2(5x)
60 = 10x
x = 6

Therefore, the width of the garden is **6 feet**.

RCL3

D

LG1

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

LG2

If Izak is in the robotics club, then he must also be on the chess team, since all members of the chess team are also members of the robotics club. However, since no members of the basketball team are members of the chess team, Izak cannot be on the basketball team.
A

LG4

The daughter has the oceanic map and is in **Egypt**.

LG5

The Grandmother cannot be in Denmark because the Son is not in Denmark and does not have the gold doubloon. Thus, the Grandmother must be in Canada. Since the Mother is not in Mexico and has the silver watch, she must be in Britain.

Mother: Britain

MW1

Let's denote the number of verses each student is supposed to write as n.

According to the given information, each student is supposed to write n verses, plus twice as many verses as the number of their class rank. So, for the 7th student, the total number of verses he is supposed to write is:

n + 2 * 7 = 20

Simplifying the equation:

n + 14 = 20

Subtracting 14 from both sides:

n = 20 - 14

n = 6

Therefore, the value of n is 6.
```
n = 6
```

MW2

Given the operation ◘, we have x ◘ y = 2x - 3y + 1.

Substituting x = 4 and y = 3, we get:

4 ◘ 3 = 2(4) - 3(3) + 1
= 8 - 9 + 1
= 0

Therefore, the value of 4 ◘ 3 is 0.

MW3

**Analysis:**

To calculate the time it will take John to reach the park, we need to divide the distance he needs to travel by his speed.

**Step 1: Convert the speed to hours**

The speed is given in miles per hour (mph). To convert it to hours, we divide by the number of hours in an hour, which is 1.

30 mph / 1 hour/hour = 30 hours/hour

**Step 2: Calculate the time**

Now we can divide the distance by the speed in hours/hour to find the time.

60 miles / 30 hours/hour = 2 hours

**Answer:**

It will take John 2 hours to reach the park.

MW5

The only possible duplicate digits are 0, 1, 2, 3, 4, 5, 6, 7, and 8. For each of these digits, there are 9 choices for the hundreds' place and 9 choices for the tens' place. Therefore, there are 9 * 9 = 81 possibilities for each duplicate digit. However, we must exclude the integers that are less than 100 or greater than 199. There are 90 integers less than 100, and 100 integers greater than 199. Therefore, there are 81 * 9 - 90 - 100 = 639 integers greater than 99 and less than 200 with exactly one duplicate digit.

Answer: 639