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README.md
183
README.md
@@ -31,93 +31,98 @@ problem, solution = mathgen.genById(0)
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| Id | Skill | Example problem | Example Solution | Function Name |
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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[//]: # list start
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| 0 | Addition | 29+29= | 58 | addition |
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| 1 | Subtraction | 10-8= | 2 | subtraction |
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| 2 | Multiplication | 96*0= | 0 | multiplication |
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| 3 | Division | 25/95= | 0.2631578947368421 | division |
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| 4 | Binary Complement 1s | 100101100= | 011010011 | binary_complement_1s |
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| 5 | Modulo Division | 74%50= | 24 | modulo_division |
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| 6 | Square Root | sqrt(49)= | 7 | square_root |
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| 7 | Power Rule Differentiation | 10x^7 + 7x^5 + 5x^8 | 70x^6 + 35x^4 + 40x^7 | power_rule_differentiation |
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| 8 | Square | 9^2= | 81 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 19 and 7 = | 133 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 1 and 7 = | 1 | gcd |
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| 11 | Basic Algebra | 3x + 2 = 8 | 6 | basic_algebra |
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| 12 | Logarithm | log2(128) | 7 | log |
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| 13 | Easy Division | 228/12 = | 19 | int_division |
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| 14 | Decimal to Binary | Binary of 37= | 100101 | decimal_to_binary |
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| 15 | Binary to Decimal | 10100001 | 161 | binary_to_decimal |
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| 16 | Fraction Division | (8/2)/(8/2) | 1 | divide_fractions |
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| 17 | Integer Multiplication with 2x2 Matrix | 6 * [[3, 7], [10, 6]] = | [[18,42],[60,36]] | multiply_int_to_22_matrix |
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| 18 | Area of Triangle | Area of triangle with side lengths: 2 1 19 = | (5.449334243437888e-15+88.99438184514796j) | area_of_triangle |
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| 19 | Triangle exists check | Does triangle with sides 48, 16 and 30 exist? | No | valid_triangle |
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| 20 | Midpoint of the two point | (2,-5),(12,-7)= | (7.0,-6.0) | midpoint_of_two_points |
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| 21 | Factoring Quadratic | x^2-18x+81 | (x-9)(x-9) | factoring |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 45 and 1 = | 134 | third_angle_of_triangle |
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| 23 | Solve a System of Equations in R^2 | -7x - 10y = -133, 7x - 2y = 49 | x = 9, y = 7 | system_of_equations |
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| 24 | Distance between 2 points | Find the distance between (-10, 7) and (16, 6) | sqrt(677) | distance_two_points |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 10 and 8 = | 12.81 | pythagorean_theorem |
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| 26 | Linear Equations | 18x + -2y = -174, -13x + 6y = 194 | x = -8, y = 15 | linear_equations |
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| 0 | Addition | 15+31= | 46 | addition |
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| 1 | Subtraction | 43-14= | 29 | subtraction |
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| 2 | Multiplication | 45*1= | 45 | multiplication |
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| 3 | Division | 72/45= | 1.6 | division |
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| 4 | Binary Complement 1s | 0011= | 1100 | binary_complement_1s |
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| 5 | Modulo Division | 14%68= | 14 | modulo_division |
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| 6 | Square Root | sqrt(9)= | 3 | square_root |
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| 7 | Power Rule Differentiation | 9x^8 | 72x^7 | power_rule_differentiation |
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| 8 | Square | 5^2= | 25 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 18 and 10 = | 90 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 5 and 17 = | 1 | gcd |
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| 11 | Basic Algebra | 10x + 9 = 10 | 1/10 | basic_algebra |
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| 12 | Logarithm | log2(32) | 5 | log |
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| 13 | Easy Division | 80/16 = | 5 | int_division |
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| 14 | Decimal to Binary | Binary of 66= | 1000010 | decimal_to_binary |
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| 15 | Binary to Decimal | 011001010 | 202 | binary_to_decimal |
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| 16 | Fraction Division | (3/8)/(10/7) | 21/80 | divide_fractions |
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| 17 | Integer Multiplication with 2x2 Matrix | 0 * [[2, 6], [0, 4]] = | [[0,0],[0,0]] | multiply_int_to_22_matrix |
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| 18 | Area of Triangle | Area of triangle with side lengths: 13 2 10 = | (7.843059660345589e-16+12.808688457449499j) | area_of_triangle |
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| 19 | Triangle exists check | Does triangle with sides 33, 10 and 7 exist? | No | valid_triangle |
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| 20 | Midpoint of the two point | (-1,-7),(13,-13)= | (6.0,-10.0) | midpoint_of_two_points |
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| 21 | Factoring Quadratic | x^2+8x+7 | (x+1)(x+7) | factoring |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 47 and 37 = | 96 | third_angle_of_triangle |
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| 23 | Solve a System of Equations in R^2 | 3x - 5y = -74, -3x + 9y = 114 | x = -8, y = 10 | system_of_equations |
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| 24 | Distance between 2 points | Find the distance between (7, 7) and (3, -3) | sqrt(116) | distance_two_points |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 20 and 9 = | 21.93 | pythagorean_theorem |
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| 26 | Linear Equations | 5x + -8y = -25, -12x + -1y = -243 | x = 19, y = 15 | linear_equations |
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| 27 | Prime Factorisation | Find prime factors of 16 | [2, 2, 2, 2] | prime_factors |
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| 28 | Fraction Multiplication | (6/8)*(2/5) | 3/10 | fraction_multiplication |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 17 sides | 158.82 | angle_regular_polygon |
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| 30 | Combinations of Objects | Number of combinations from 17 objects picked 3 at a time | 680 | combinations |
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| 31 | Factorial | 1! = | 1 | factorial |
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| 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surface_area_cube |
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| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 12m, 11m, 1m is | 310 m^2 | surface_area_cuboid |
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| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 38m and radius = 16m is | 5428 m^2 | surface_area_cylinder |
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| 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volume_cube |
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| 36 | Volume of Cuboid | Volume of cuboid with sides = 17m, 19m, 8m is | 2584 m^3 | volume_cuboid |
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| 37 | Volume of cylinder | Volume of cylinder with height = 35m and radius = 19m is | 39694 m^3 | volume_cylinder |
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| 38 | Surface Area of cone | Surface area of cone with height = 8m and radius = 19m is | 2364 m^2 | surface_area_cone |
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| 39 | Volume of cone | Volume of cone with height = 43m and radius = 13m is | 7609 m^3 | volume_cone |
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| 40 | Common Factors | Common Factors of 21 and 65 = | [1] | common_factors |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 5/4x - 1 and y = 0/4x - 5 | (-16/5, -5) | intersection_of_two_lines |
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| 42 | Permutations | Number of Permutations from 10 objects picked 5 at a time = | 30240 | permutation |
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| 43 | Cross Product of 2 Vectors | [12, -16, 4] X [-14, 10, -9] = | [104, 52, -104] | vector_cross |
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| 44 | Compare Fractions | Which symbol represents the comparison between 7/10 and 7/5? | < | compare_fractions |
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| 45 | Simple Interest | Simple interest for a principle amount of 6138 dollars, 9% rate of interest and for a time period of 8 years is = | 4419.36 | simple_interest |
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| 46 | Multiplication of two matrices | Multiply<table><tr><td>-8</td><td>-8</td></tr><tr><td>-2</td><td>-9</td></tr></table>and<table><tr><td>-10</td><td>-8</td></tr><tr><td>9</td><td>-9</td></tr></table> | <table><tr><td>8</td><td>136</td></tr><tr><td>-61</td><td>97</td></tr></table> | matrix_multiplication |
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| 47 | Cube Root | cuberoot of 633 upto 2 decimal places is: | 8.59 | cube_root |
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| 48 | Power Rule Integration | 2x^5 + 3x^3 + 4x^7 + 9x^1 + 6x^9 | (2/5)x^6 + (3/3)x^4 + (4/7)x^8 + (9/1)x^2 + (6/9)x^10 + c | power_rule_integration |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 79 , 44, 37 = | 200 | fourth_angle_of_quadrilateral |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 79x^2+182x+98=0 | [-0.86, -1.45] | quadratic_equation |
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| 51 | HCF (Highest Common Factor) | HCF of 1 and 20 = | 1 | hcf |
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| 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 2 = | 1/6 | dice_sum_probability |
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| 53 | Exponentiation | 6^9 = | 10077696 | exponentiation |
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| 54 | Confidence interval For sample S | The confidence interval for sample [260, 249, 281, 261, 236, 237, 275, 229, 256, 242, 277, 240, 278, 293, 271, 255, 216, 292, 200, 298, 282, 223] with 99% confidence is | (271.2437114485249, 242.48356127874783) | confidence_interval |
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| 55 | Comparing surds | Fill in the blanks 71^(1/5) _ 31^(1/8) | > | surds_comparison |
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| 56 | Fibonacci Series | The Fibonacci Series of the first 19 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584] | fibonacci_series |
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| 57 | Trigonometric Values | What is cos(45)? | 1/√2 | basic_trigonometry |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 10 sides = | 1440 | sum_of_polygon_angles |
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| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[13, 22, 36, 17, 9, 39, 50, 14, 32, 40, 37, 48, 47, 28, 47] | The Mean is 31.933333333333334 , Standard Deviation is 182.59555555555553, Variance is 13.51279229306643 | data_summary |
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| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 18m is | 4071.5040790523717 m^2 | surface_area_sphere |
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| 61 | Volume of Sphere | Volume of sphere with radius 61 m = | 950775.7894726198 m^3 | volume_sphere |
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| 62 | nth Fibonacci number | What is the 85th Fibonacci number? | 259695496911123328 | nth_fibonacci_number |
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| 63 | Profit or Loss Percent | Profit percent when CP = 353 and SP = 752 is: | 113.03116147308782 | profit_loss_percent |
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| 64 | Binary to Hexidecimal | 111101011 | 0x1eb | binary_to_hex |
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| 65 | Multiplication of 2 complex numbers | (-19-9j) * (-17-2j) = | (305+191j) | multiply_complex_numbers |
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| 66 | Geometric Progression | For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,6th term value, sum upto 7th term | The value of a is 7, common ratio is 11 , 6th term is 1127357 , sum upto 7th term is 13641019.0 | geometric_progression |
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| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 32 , 5 and 18 = | (32*5*18)^(1/3) = 14.227573217960249 | geometric_mean |
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| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 48 , 85 and 79 = | 3/((1/48) + (1/85) + (1/79)) = 66.28916158223076 | harmonic_mean |
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| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[743.1109024649227, 951.2861991520674, 821.2679183199273, 831.5922742303677, 972.3005129207023, 775.1712986008336, 869.5254070360901, 34.05779748860371, 495.5299489221041, 516.2458991121815, 620.0871728488738, 12.438787805084894, 967.8138977993306, 627.6791615554401, 129.81896901435886, 566.4442009627315, 521.5300881726977, 741.5947979192599] is: | 2917.827115551868 | euclidian_norm |
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| 70 | Angle between 2 vectors | angle between the vectors [341.1766244080324, 386.90517658729595, 306.3074773969527, 542.1138441520038, 149.80203485453225, 85.6719016065689, 875.0827941729921, 292.0422074695527, 312.8929536855103, 408.95388654647445, 119.81564007869672, 177.5529661884936, 360.30983184002406, 111.71502530193955, 29.528755078141455, 478.2846569662712, 855.8978282979257] and [230.45166329807688, 922.2895458023412, 219.89492715268733, 375.8793126730714, 731.2614314505195, 277.5554009411926, 329.1490487358273, 477.7600322879586, 168.93745868538923, 423.6897582803929, 724.5555882496458, 519.6421532094823, 158.0479000313908, 679.3674240323584, 496.6795371750926, 853.4421897526636, 715.2567898992207] is: | NaN | angle_btw_vectors |
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| 71 | Absolute difference between two numbers | Absolute difference between numbers 53 and -70 = | 123 | absolute_difference |
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| 72 | Dot Product of 2 Vectors | [-8, -4, -10] . [-9, -6, -9] = | 186 | vector_dot |
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| 73 | Binary 2's Complement | 2's complement of = | | binary_2s_complement |
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| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[43, 95, 41], [46, 80, 67], [57, 75, 71]]) is: | Matrix([[131/7038, -367/3519, 617/7038], [553/35190, 358/17595, -199/7038], [-37/1173, 73/1173, -31/1173]]) | invert_matrix |
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| 75 | Area of a Sector | Given radius, 40 and angle, 199. Find the area of the sector. | Area of sector = 2778.56417 | sector_area |
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| 76 | Mean and Median | Given the series of numbers [44, 64, 22, 37, 63, 56, 27, 62, 98, 72]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 54.5 and Arithmetic median of this series is 59.0 | mean_median |
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| 77 | Determinant to 2x2 Matrix | Det([[73, 52], [55, 80]]) = | 2980 | int_matrix_22_determinant |
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| 78 | Compound Interest | Compound Interest for a principle amount of 8506 dollars, 8% rate of interest and for a time period of 10 compounded monthly is = | 8506.0 | compound_interest |
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| 79 | Decimal to Hexadecimal | Binary of 293= | 0x125 | decimal_to_hexadeci |
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| 80 | Percentage of a number | What is 57% of 4? | Required percentage = 2.28% | percentage |
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| 81 | Celsius To Fahrenheit | Convert 57 degrees Celsius to degrees Fahrenheit = | 134.60000000000002 | celsius_to_fahrenheit |
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| 82 | AP Term Calculation | Find the term number 89 of the AP series: 20, 115, 210 ... | 8380 | arithmetic_progression_term |
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| 83 | AP Sum Calculation | Find the sum of first 98 terms of the AP series: -58, -106, -154 ... | -233828.0 | arithmetic_progression_sum |
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| 84 | Converts decimal to octal | The decimal number 1716 in Octal is: | 0o3264 | decimal_to_octal |
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| 85 | Converts decimal to Roman Numerals | The number 587 in Roman Numerals is: | DLXXXVII | decimal_to_roman_numerals |
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| 86 | Degrees to Radians | Angle 245 in radians is = | 4.28 | degree_to_rad |
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| 87 | Radians to Degrees | Angle 0 in degrees is = | 0.0 | radian_to_deg |
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| 88 | Differentiation | differentiate w.r.t x : d(exp(x)+5*x^(-2))/dx | exp(x) - 10/x^3 | differentiation |
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| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 39x^2 + 72x + 74 is = | 123.0 | definite_integral |
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| 28 | Fraction Multiplication | (3/1)*(5/3) | 5 | fraction_multiplication |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 5 sides | 108.0 | angle_regular_polygon |
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| 30 | Combinations of Objects | Number of combinations from 19 objects picked 2 at a time | 171 | combinations |
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| 31 | Factorial | 2! = | 2 | factorial |
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| 32 | Surface Area of Cube | Surface area of cube with side = 1m is | 6 m^2 | surface_area_cube |
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| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 9m, 16m, 20m is | 1288 m^2 | surface_area_cuboid |
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| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 7m and radius = 16m is | 2312 m^2 | surface_area_cylinder |
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| 35 | Volum of Cube | Volume of cube with side = 12m is | 1728 m^3 | volume_cube |
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| 36 | Volume of Cuboid | Volume of cuboid with sides = 11m, 19m, 8m is | 1672 m^3 | volume_cuboid |
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| 37 | Volume of cylinder | Volume of cylinder with height = 9m and radius = 15m is | 6361 m^3 | volume_cylinder |
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| 38 | Surface Area of cone | Surface area of cone with height = 36m and radius = 1m is | 116 m^2 | surface_area_cone |
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| 39 | Volume of cone | Volume of cone with height = 26m and radius = 15m is | 6126 m^3 | volume_cone |
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| 40 | Common Factors | Common Factors of 64 and 17 = | [1] | common_factors |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 10/6x + 3 and y = -1/3x + 10 | (7/2, 53/6) | intersection_of_two_lines |
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| 42 | Permutations | Number of Permutations from 14 objects picked 1 at a time = | 14 | permutation |
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| 43 | Cross Product of 2 Vectors | [-16, -17, -11] X [12, -19, 5] = | [-294, -52, 508] | vector_cross |
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| 44 | Compare Fractions | Which symbol represents the comparison between 7/2 and 1/7? | > | compare_fractions |
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| 45 | Simple Interest | Simple interest for a principle amount of 7256 dollars, 6% rate of interest and for a time period of 2 years is = | 870.72 | simple_interest |
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| 46 | Multiplication of two matrices | Multiply<table><tr><td>-6</td><td>3</td><td>10</td><td>4</td></tr><tr><td>9</td><td>9</td><td>-3</td><td>7</td></tr></table>and<table><tr><td>10</td><td>-9</td><td>5</td></tr><tr><td>2</td><td>-10</td><td>-5</td></tr><tr><td>6</td><td>-3</td><td>-7</td></tr><tr><td>2</td><td>1</td><td>-8</td></tr></table> | <table><tr><td>14</td><td>-2</td><td>-147</td></tr><tr><td>104</td><td>-155</td><td>-35</td></tr></table> | matrix_multiplication |
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| 47 | Cube Root | cuberoot of 723 upto 2 decimal places is: | 8.98 | cube_root |
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| 48 | Power Rule Integration | 1x^5 + 2x^8 + 1x^5 + 10x^7 + 1x^6 | (1/5)x^6 + (2/8)x^9 + (1/5)x^6 + (10/7)x^8 + (1/6)x^7 + c | power_rule_integration |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 58 , 157, 113 = | 32 | fourth_angle_of_quadrilateral |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 14x^2+92x+17=0 | [-0.19, -6.38] | quadratic_equation |
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| 51 | HCF (Highest Common Factor) | HCF of 13 and 20 = | 1 | hcf |
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| 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 5 = | 1/6 | dice_sum_probability |
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| 53 | Exponentiation | 5^10 = | 9765625 | exponentiation |
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| 54 | Confidence interval For sample S | The confidence interval for sample [266, 244, 292, 288, 230, 251, 211, 272, 260, 257, 231, 234, 254, 277, 202, 206, 258, 298, 243, 213, 214, 239, 247, 232, 203, 296, 238, 282, 222, 283, 261, 253, 252, 278, 215, 267, 212] with 90% confidence is | (255.6152095323176, 240.65506073795265) | confidence_interval |
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| 55 | Comparing surds | Fill in the blanks 29^(1/1) _ 37^(1/8) | > | surds_comparison |
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| 56 | Fibonacci Series | The Fibonacci Series of the first 10 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] | fibonacci_series |
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| 57 | Trigonometric Values | What is sin(45)? | 1/√2 | basic_trigonometry |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sum_of_polygon_angles |
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| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[22, 32, 15, 45, 40, 34, 40, 29, 33, 43, 34, 19, 43, 17, 42] | The Mean is 32.53333333333333 , Standard Deviation is 95.71555555555555, Variance is 9.783432708183541 | data_summary |
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| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 7m is | 615.7521601035994 m^2 | surface_area_sphere |
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| 61 | Volume of Sphere | Volume of sphere with radius 18 m = | 24429.024474314232 m^3 | volume_sphere |
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| 62 | nth Fibonacci number | What is the 76th Fibonacci number? | 3416454622906716 | nth_fibonacci_number |
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| 63 | Profit or Loss Percent | Profit percent when CP = 300 and SP = 745 is: | 148.33333333333334 | profit_loss_percent |
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| 64 | Binary to Hexidecimal | 0011110 | 0x1e | binary_to_hex |
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| 65 | Multiplication of 2 complex numbers | (15+4j) * (13+6j) = | (171+142j) | multiply_complex_numbers |
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| 66 | Geometric Progression | For the given GP [7, 42, 252, 1512, 9072, 54432] ,Find the value of a,common ratio,9th term value, sum upto 11th term | The value of a is 7, common ratio is 6 , 9th term is 11757312 , sum upto 11th term is 507915877.0 | geometric_progression |
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| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 22 , 15 and 25 = | (22*15*25)^(1/3) = 20.206200103110948 | geometric_mean |
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| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 37 , 33 and 53 = | 3/((1/37) + (1/33) + (1/53)) = 39.371121476373965 | harmonic_mean |
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| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[492.40786515780576, 983.9467887251965, 631.4868422143192, 867.3371448756883, 563.3456646686222, 708.0397121576655] is: | 1783.3521007855009 | euclidian_norm |
|
||||
| 70 | Angle between 2 vectors | angle between the vectors [541.0289697890829, 573.3715402714977, 323.21175522813905, 134.3110759527537, 485.181412466299, 734.1757394805238, 632.1836650961008, 874.4930077772807, 392.3682318405426, 198.18533509253734, 259.3024324493266, 692.6808468046293, 983.0594493368139, 246.1431141764312, 169.47055701867663, 179.3769672014288, 653.3731083951614, 608.0069028185225] and [716.8150260194301, 661.3439350537182, 503.6201707807608, 922.7936933135436, 887.4562350809547, 764.2289969841399, 743.9308000789802, 604.6893588822073, 185.60578793368342, 335.83315817451984, 969.7123500771294, 181.4419381940483, 275.5957393468893, 228.41527442819876, 971.7792535281106, 0.79249601650766, 878.4199844485163, 888.9960985572237] is: | NaN | angle_btw_vectors |
|
||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers -9 and -91 = | 82 | absolute_difference |
|
||||
| 72 | Dot Product of 2 Vectors | [14, -20, -3] . [-3, -18, 15] = | 273 | vector_dot |
|
||||
| 73 | Binary 2's Complement | 2's complement of 100 = | 100 | binary_2s_complement |
|
||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[77, 3, 65], [46, 99, 23], [31, 83, 47]]) is: | Matrix([[196/18259, 2627/127813, -3183/127813], [-207/36518, 802/127813, 1219/255626], [107/36518, -3149/127813, 7485/255626]]) | invert_matrix |
|
||||
| 75 | Area of a Sector | Given radius, 15 and angle, 235. Find the area of the sector. | Area of sector = 461.42142 | sector_area |
|
||||
| 76 | Mean and Median | Given the series of numbers [41, 17, 55, 6, 9, 93, 97, 59, 45, 54]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 47.6 and Arithmetic median of this series is 49.5 | mean_median |
|
||||
| 77 | Determinant to 2x2 Matrix | Det([[55, 32], [27, 54]]) = | 2106 | int_matrix_22_determinant |
|
||||
| 78 | Compound Interest | Compound interest for a principle amount of 4870 dollars, 3% rate of interest and for a time period of 8 year is = | 6169.17 | compound_interest |
|
||||
| 79 | Decimal to Hexadecimal | Binary of 35= | 0x23 | decimal_to_hexadeci |
|
||||
| 80 | Percentage of a number | What is 98% of 63? | Required percentage = 61.74% | percentage |
|
||||
| 81 | Celsius To Fahrenheit | Convert -6 degrees Celsius to degrees Fahrenheit = | 21.2 | celsius_to_fahrenheit |
|
||||
| 82 | AP Term Calculation | Find the term number 33 of the AP series: 72, 140, 208 ... | 2248 | arithmetic_progression_term |
|
||||
| 83 | AP Sum Calculation | Find the sum of first 72 terms of the AP series: 41, 110, 179 ... | 179316.0 | arithmetic_progression_sum |
|
||||
| 84 | Converts decimal to octal | The decimal number 406 in Octal is: | 0o626 | decimal_to_octal |
|
||||
| 85 | Converts decimal to Roman Numerals | The number 397 in Roman Numerals is: | CCCXCVII | decimal_to_roman_numerals |
|
||||
| 86 | Degrees to Radians | Angle 122 in radians is = | 2.13 | degree_to_rad |
|
||||
| 87 | Radians to Degrees | Angle 2 in degrees is = | 114.59 | radian_to_deg |
|
||||
| 88 | Differentiation | differentiate w.r.t x : d(tan(x)+4*x^(-3))/dx | tan(x)^2 + 1 - 12/x^4 | differentiation |
|
||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 54x^2 + 77x + 69 is = | 125.5 | definite_integral |
|
||||
| 90 | isprime | 95 | False | is_prime |
|
||||
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 4 is = | 16643 | bcd_to_decimal |
|
||||
| 92 | Complex To Polar Form | rexp(itheta) = | 1.41exp(i-2.36) | complex_to_polar |
|
||||
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={9, 5, 6} ,b={8, 1, 6}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 5, 6, 8, 9},Intersection is {6}, a-b is {9, 5},b-a is {8, 1}, Symmetric difference is {1, 5, 8, 9} | set_operation |
|
||||
| 94 | Base Conversion | Convert 121143 from base 7 to base 8. | 53020 | base_conversion |
|
||||
|
||||
@@ -95,4 +95,8 @@ from .radian_to_deg import *
|
||||
from .differentiation import *
|
||||
from .definite_integral import *
|
||||
from .is_prime import *
|
||||
from .bcd_to_decimal import *
|
||||
from .complex_to_polar import *
|
||||
from .set_operation import *
|
||||
from .base_conversion import *
|
||||
from .curvedSurfaceAreaCylinderFunc import *
|
||||
|
||||
50
mathgenerator/funcs/base_conversion.py
Normal file
50
mathgenerator/funcs/base_conversion.py
Normal file
@@ -0,0 +1,50 @@
|
||||
from .__init__ import *
|
||||
|
||||
# base from 2 to 36
|
||||
alpha = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"
|
||||
|
||||
|
||||
def fromBaseTenTo(n, toBase):
|
||||
assert type(toBase) == int and toBase >= 2 and toBase <= 36, "toBase({}) must be >=2 and <=36"
|
||||
# trivial cases
|
||||
if toBase == 2:
|
||||
return bin(n)[2:]
|
||||
elif toBase == 8:
|
||||
return oct(n)[2:]
|
||||
elif toBase == 10:
|
||||
return str(n)
|
||||
elif toBase == 16:
|
||||
return hex(n)[2:].upper()
|
||||
res = alpha[n % toBase]
|
||||
n = n//toBase
|
||||
while n > 0:
|
||||
res = alpha[n % toBase] + res
|
||||
n = n//toBase
|
||||
return res
|
||||
|
||||
# Useful to check answers, but not needed here
|
||||
# def toBaseTen(n,fromBase):
|
||||
# return int(n,fromBase)
|
||||
|
||||
|
||||
def baseConversionFunc(maxNum=60000, maxBase=16):
|
||||
assert type(
|
||||
maxNum) == int and maxNum >= 100 and maxNum <= 65536, "maxNum({}) must be >=100 and <=65536".format(maxNum)
|
||||
assert type(
|
||||
maxBase) == int and maxBase >= 2 and maxBase <= 36, "maxBase({}) must be >= 2 and <=36".format(maxBase)
|
||||
|
||||
n = random.randint(40, maxNum)
|
||||
dist = [10]*10+[2]*5+[16]*5+[i for i in range(2, maxBase+1)]
|
||||
# set this way since converting to/from bases 2,10,16 are more common -- can be changed if needed.
|
||||
bases = random.choices(dist, k=2)
|
||||
while bases[0] == bases[1]:
|
||||
bases = random.choices(dist, k=2)
|
||||
|
||||
problem = "Convert {} from base {} to base {}.".format(
|
||||
fromBaseTenTo(n, bases[0]), bases[0], bases[1])
|
||||
ans = fromBaseTenTo(n, bases[1])
|
||||
return problem, ans
|
||||
|
||||
|
||||
base_conversion = Generator("Base Conversion", 94, "Convert 152346 from base 8 to base 10.", "54502",
|
||||
baseConversionFunc)
|
||||
24
mathgenerator/funcs/bcd_to_decimal.py
Normal file
24
mathgenerator/funcs/bcd_to_decimal.py
Normal file
@@ -0,0 +1,24 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def BCDtoDecimalFunc(maxNumber=10000):
|
||||
n = random.randint(1000, maxNumber)
|
||||
binstring = ''
|
||||
while True:
|
||||
q, r = divmod(n, 10)
|
||||
nibble = bin(r).replace('0b', "")
|
||||
while len(nibble) < 4:
|
||||
nibble = '0' + nibble
|
||||
binstring = nibble + binstring
|
||||
if q == 0:
|
||||
break
|
||||
else:
|
||||
n = q
|
||||
|
||||
problem = "Integer of Binary Coded Decimal " + str(n) + " is = "
|
||||
solution = int(binstring, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
bcd_to_decimal = Generator("Binary Coded Decimal to Integer", 91,
|
||||
"Integer of Binary Coded Decimal b is ", "n", BCDtoDecimalFunc)
|
||||
18
mathgenerator/funcs/complex_to_polar.py
Normal file
18
mathgenerator/funcs/complex_to_polar.py
Normal file
@@ -0,0 +1,18 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def complexToPolarFunc(minRealImaginaryNum=-20, maxRealImaginaryNum=20):
|
||||
num = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum),
|
||||
random.randint(minRealImaginaryNum, maxRealImaginaryNum))
|
||||
a = num.real
|
||||
b = num.imag
|
||||
r = round(math.hypot(a, b), 2)
|
||||
theta = round(math.atan2(b, a), 2)
|
||||
plr = str(r) + "exp(i" + str(theta) + ")"
|
||||
problem = f"rexp(itheta) = "
|
||||
solution = plr
|
||||
return problem, solution
|
||||
|
||||
|
||||
complex_to_polar = Generator("Complex To Polar Form", 92,
|
||||
"rexp(itheta) = ", "plr", complexToPolarFunc)
|
||||
@@ -1,24 +1,17 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def compoundInterestFunc(maxPrinciple=10000,
|
||||
maxRate=10,
|
||||
maxTime=10,
|
||||
maxPeriod=10):
|
||||
p = random.randint(100, maxPrinciple)
|
||||
def compoundInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
|
||||
p = random.randint(1000, maxPrinciple)
|
||||
r = random.randint(1, maxRate)
|
||||
t = random.randint(1, maxTime)
|
||||
n = random.randint(1, maxPeriod)
|
||||
A = p * ((1 + (r / (100 * n))**(n * t)))
|
||||
problem = "Compound Interest for a principle amount of " + str(
|
||||
p) + " dollars, " + str(
|
||||
r) + "% rate of interest and for a time period of " + str(
|
||||
t) + " compounded monthly is = "
|
||||
solution = round(A, 2)
|
||||
n = random.randint(1, maxTime)
|
||||
a = p * (1 + r / 100)**n
|
||||
problem = "Compound interest for a principle amount of " + \
|
||||
str(p) + " dollars, " + str(r) + \
|
||||
"% rate of interest and for a time period of " + str(n) + " year is = "
|
||||
solution = round(a, 2)
|
||||
return problem, solution
|
||||
|
||||
|
||||
compound_interest = Generator(
|
||||
"Compound Interest", 78,
|
||||
"Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ",
|
||||
"A dollars", compoundInterestFunc)
|
||||
"Compound Interest", 78, "Compound interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", compoundInterestFunc)
|
||||
|
||||
24
mathgenerator/funcs/set_operation.py
Normal file
24
mathgenerator/funcs/set_operation.py
Normal file
@@ -0,0 +1,24 @@
|
||||
from .__init__ import *
|
||||
|
||||
|
||||
def set_operation(minval=3, maxval=7, n_a=4, n_b=5):
|
||||
number_variables_a = random.randint(minval, maxval)
|
||||
number_variables_b = random.randint(minval, maxval)
|
||||
a = []
|
||||
b = []
|
||||
for i in range(number_variables_a):
|
||||
a.append(random.randint(1, 10))
|
||||
for i in range(number_variables_b):
|
||||
b.append(random.randint(1, 10))
|
||||
a = set(a)
|
||||
b = set(b)
|
||||
problem = "Given the two sets a=" + \
|
||||
str(a) + " ,b=" + str(b) + ".Find the Union,intersection,a-b,b-a and symmetric difference"
|
||||
solution = "Union is " + str(a.union(b)) + ",Intersection is " + str(a.intersection(b)) + ", a-b is " + str(
|
||||
a.difference(b)) + ",b-a is " + str(b.difference(a)) + ", Symmetric difference is " + str(a.symmetric_difference(b))
|
||||
return problem, solution
|
||||
|
||||
|
||||
set_operation = Generator("Union,Intersection,Difference of Two Sets", 93,
|
||||
"Union,intersection,difference",
|
||||
"aUb,a^b,a-b,b-a,", set_operation)
|
||||
Reference in New Issue
Block a user