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: if the area of a square with sides of length 3 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 ) 3 , 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: if a 5 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? 
Options: a ) 100 % , b ) 200 % , c ) 300 % , d ) 400 % , e ) 500 %
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: if the area of a circle is 81 pi square feet , find its circumference . 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
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 cube root of what integer power of 2 is closest to 50 ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20
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: what is the maximum number r of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? 
Options: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']
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: on dividing a number by 5 , we get 3 as remainder . what will be the remainder when the square of this number is divided by 5 ? 
Options: ['a ) 0', 'b ) 1', 'c ) 3', 'd ) 4', 'e ) 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: how many odd numbers between 10 and 1,200 are the squares of integers ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
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: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 10 , 0 ) , ( 0 , - 3.5 ) , ( - 10 , 0 ) ? 
Options: a ) 56 , b ) 88 , c ) 70 , d ) 116 , e ) 120
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: 34 . the side surface of a cylinder can is rolled with a rectangular plate . if the height of a cylinder tank is 8 feet and the perimeter of the circular base is 6 feet , what is the diagonal of the rectangular plate ? 
Options: ['a ) 10', 'b ) 12', 'c ) 8', 'd ) 14', 'e ) 9']
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 perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: a ) 28 cm 2 , b ) 27 cm 2 , c ) 29 cm 2 , d ) 25 cm 2 , e ) 35 cm 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: 12 points lie on a circle . how many cyclic quadrilaterals can be drawn by using these points ? 
Options: ['a ) 334', 'b ) 377', 'c ) 495', 'd ) 766', 'e ) 261']
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: can n and can в are both right circular cylinders . the radius of can n is twice the radius of can b , while the height of can n is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can n with the same brand of gasoline ? 
Options: ['a ) $ 1', 'b ) $ 2', 'c ) $ 4', 'd ) $ 8', 'e ) $ 16']
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 length and breadth of the floor of the room are 20 feet and 10 feet respectively . square tiles of 2 feet length of different colours are to be laid on the floor . black tiles are laid in the first row on all sides . if white tiles are laid in the one - third of the remaining and blue tiles in the rest , how many blue tiles will be there ? 
Options: ['a ) 16', 'b ) 24', 'c ) 32', 'd ) 48', '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: in the rectangular coordinate system , points ( 4 , 0 ) and ( – 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above
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 radius of a cylinder is 8 m , height 14 m . the volume of the cylinder is : 
Options: a ) 2816 , b ) 5500 , c ) 3300 , d ) 1100 , e ) 4400
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 area of circle o is added to its diameter . if the circumference of circle o is then subtracted from this total , the result is 4 . what is the area of circle o ? 
Options: ['a ) 2 / π', 'b ) 2', 'c ) 8', 'd ) 4', 'e ) 4 π']
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 length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ? 
Options: ['a ) 4 : 1', 'b ) 6 : 1', 'c ) 8 : 1', 'd ) 16 : 1', 'e ) 64 : 1']
Output: 


Output: d