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: what is the ratio between perimeters of two squares one having 3 times the diagonal then the other ? 
Options: ['a ) 3 : 2', 'b ) 3 : 0', 'c ) 4 : 1', 'd ) 3 : 1', 'e ) 2 : 2']
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: find the cube root of 185193 . 
Options: a ) 33 , b ) 57 , c ) 99 , d ) 17 , e ) 01
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: the product of the squares of two positive integers is 900 . how many pairs of positive integers satisfy this condition ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
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: a semicircle has a radius of 12 . what is the approximate perimeter of the semicircle ? 
Options: a ) 58 , b ) 62 , c ) 66 , d ) 70 , e ) 74
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: the least perfect square , which is divisible by each of 21,36 and 66 is 
Options: ['a ) 213444', 'b ) 214344', 'c ) 214434', 'd ) 213443', '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: a rectangular carpet has an area of 60 sq . m . if its diagonal and longer side together equal 5 times the shorter side , the length of the carpet is : 
Options: ['a ) 5 m', 'b ) 12 m', 'c ) 13 m', 'd ) 14.5 m', 'e ) 15.5 m']
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 the area of the equilateral triangle above is 0.75 , what is the area of the adjacent square ? 
Options: ['a ) ( √ 3 ) / 2', 'b ) √ 3', 'c ) √ 6', 'd ) 3', 'e ) 2 √ 3']
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: the largest four digit number which is a perfect cube , is : 
Options: a ) 7000 , b ) 8000 , c ) 9261 , d ) 9999 , e ) none of these
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: what is the % change in the area of a rectangle when its length increases by 10 % and its width decreases by 10 % ? 
Options: a ) 0 % , b ) 20 % increase , c ) 20 % decrease , d ) 1 % decrease , e ) insufficient data
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 area of sector of a circle whose radius is 15 metro and whose angle at the center is 42 â ° is ? 
Options: a ) 52.6 , b ) 52.9 , c ) 52.8 , d ) 52.1 , e ) 82.5
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: find the area of a parallelogram with base 12 cm and height 8 cm ? 
Options: a ) 96 cm 2 , b ) 104 cm 2 , c ) 78 cm 2 , d ) 86 cm 2 , e ) 76 cm 2
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 edges of cuboid are 4 cm ; 5 cm and 6 cm . find its surface area ? 
Options: ['a ) 228', 'b ) 148', 'c ) 992', 'd ) 772', 'e ) 222']
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 area of a parallelogram with base 48 cm and height 36 cm ? 
Options: a ) 1730 cm 2 , b ) 1728 cm 2 , c ) 1870 cm 2 , d ) 1890 cm 2 , e ) 668 cm 2
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: the area of the largest circle that can be drawn inside a rectangle with sides 18 cm by 14 cm is 
Options: ['a ) 237', 'b ) 154', 'c ) 2376', 'd ) 198', 'e ) 171']
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: the least perfect square , which is divisible by each of 21 , 36 and 66 is : 
Options: a ) 213444 , b ) 214344 , c ) 214434 , d ) 231444 , e ) 233444
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: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the p measure in inches of the width of the foil covered prism ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 10
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: a rectangular tiled patio is composed of 48 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 48 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? 
Options: a ) 5 , b ) 6 , c ) 10 , d ) 13 , e ) 28
Output: 


Output: b