Lots-of-LoRAs/task1423_mathqa_geometry huggingface dataset:
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a football field is 7200 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? 
Options: a ) 450 , b ) 600 , c ) 750 , d ) 2400 , e ) 3200
Output: 


Output: b
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: if a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius , then surface area of each ball ( in cm 2 ) is ? 
Options: ['a ) 100', 'b ) 272', 'c ) 287', 'd ) 189', 'e ) 289']
Output: 


Output: a
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: if the radius of a circle is decreased 40 % , what happens to the area ? 
Options: a ) 10 % decrease , b ) 20 % decrease , c ) 36 % decrease , d ) 40 % decrease , e ) 64 % decrease
Output: 


Output: e
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: if the perimeter of δ acd is 9 + 3 √ 3 , what is the perimeter of equilateral triangle δ abc ? 
Options: ['a ) 9', 'b ) 18 − 3 √ 3', 'c ) 18', 'd ) 18 + 3 √ 3', 'e ) 27']
Output: 


Output: c
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: if the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 9 , e ) 18
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a rectangular grass field is 75 m * 55 m , it has a path of 3.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? 
Options: a ) s . 1350 , b ) s . 1327 , c ) s . 1328 , d ) s . 1397 , e ) s . 1918
Output: 


Output: e
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70 , then how long is the base of isosceles triangle ? 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 588 feet squared , what is the difference between the length and the width of the roof ? 
Options: a ) 28 . , b ) 40 . , c ) 42 . , d ) 44 . , e ) 46 .
Output: 


Output: a
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: in a certain circle there are 9 points . what is the number of the triangles connecting 3 points of the 9 points ? 
Options: a ) 12 , b ) 84 , c ) 108 , d ) 120 , e ) 132
Output: 


Output: b
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: find the base k of the number system , if ( 524 ) 8 = ( 664 ) k ? 
Options: ['a ) 4', 'b ) 5', 'c ) 6', 'd ) 7', 'e ) 8']
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 75 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? 
Options: a ) 75 % , b ) 80 % , c ) 145 % , d ) 150 % , e ) 180 %
Output: 


Output: c
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the lateral surface area of cube is 100 sq . units . find the volume of cube ? 
Options: ['a ) 135', 'b ) 155', 'c ) 125', 'd ) 145', 'e ) 115']
Output: 


Output: c
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a rectangular grass field is 65 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? 
Options: a ) 1350 , b ) 1971 , c ) 9676 , d ) 1679 , e ) 1250
Output: 


Output: e
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: if the volume of two cubes are in the ratio 8 : 1 , the ratio of their edges is : 
Options: ['a ) 2 : 1', 'b ) 3 : 2', 'c ) 3 : 5', 'd ) 3 : 7', 'e ) none of these']
Output: 


Output: a
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: the radius of a cylindrical vessel is 8 cm and height is 3 cm . find the whole surface of the cylinder ? 
Options: a ) 308 sq cm , b ) 220 sq cm , c ) 440 sq cm , d ) 553.1 sq cm , e ) 138 sq cm
Output: 


Output: d
Definition: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Positive Example 1 -
Input: Problem: if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? 
Options: a ) 70 , b ) 79 , c ) 85 , d ) 96 , e ) 92
Output: d

Positive Example 2 -
Input: Problem: find the perimeter and area of a square of side 13 cm . 
Options: ['a ) 121', 'b ) 144', 'c ) 169', 'd ) 196', 'e ) 225']
Output: c

Negative Example 1 -
Input: Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ? 
Options: a ) 30 square inches , b ) 108 square inches , c ) 68 square inches , d ) 89 square inches , e ) 92 square inches
Output: a

Negative Example 2 -
Input: Problem: 10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? 
Options: a ) 5 / 2 , b ) 2 √ 5 , c ) 5 , d ) 4 √ 2 , e ) none of these
Output: c

Now complete the following example -
Input: Problem: a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 5 inches wide on each side , the total area would have been ( m + 144 ) square inches . what is the perimeter of the photograph , in inches ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output: 


Output: b