1. Write a Python program to convert degrees to radians.
Note : The radian is the standard unit of angular measure, used in many areas of mathematics. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle; one radian is just under 57.3 degrees (when the arc length is equal to the radius).
Test Data:
Degree : 15
Expected Result in radians: 0.2619047619047619
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2. Write a Python program to convert radians to degrees.
Test Data:
Radian : .52
Expected Result : 29.781818181818185
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3. Write a Python program to calculate the area of a trapezoid.
Note : A trapezoid is a quadrilateral with two sides parallel. The trapezoid is equivalent to the British definition of the trapezium. An isosceles trapezoid is a trapezoid in which the base angles are equal so.
Test Data:
Height : 5
Base, first value : 5
Base, second value : 6
Expected Output: Area is : 27.5
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4. Write a Python program to calculate the area of a parallelogram.
Note : A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
Test Data:
Length of base : 5
Height of parallelogram : 6
Expected Output: Area is : 30.0
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5. Write a Python program to calculate the surface volume and area of a cylinder.
Note: A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given straight line, the axis of the cylinder.
Test Data:
volume : Height (4), Radius(6)
Expected Output:
Volume is : 452.57142857142856
Surface Area is : 377.1428571428571
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6. Write a Python program to calculate the surface volume and area of a sphere.
Note: A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball.
Test Data:
Radius of sphere : .75
Expected Output :
Surface Area is : 7.071428571428571
Volume is : 1.7678571428571428
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7. Write a Python program to calculate the arc length of an angle.
Note: In a planar geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane.
Test Data:
Diameter of a circle : 8
Angle measure : 45
Expected Output :
Arc Length is : 3.142857142857143
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8. Write a Python program to calculate the area of the sector.
Note: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
Test Data:
Radius of a circle : 4
Angle measure : 45
Expected Output:
Sector Area: 6.285714285714286
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9. Write a Python program to calculate the discriminant value.
Note: The discriminant is the name given to the expression that appears under the square root (radical) sign in the quadratic formula.
Test Data:
The x value : 4
The y value : 0
The z value : -4
Expected Output:
Two Solutions. Discriminant value is : 64.0
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10. Write a Python program to find the smallest multiple of the first n numbers. Also, display the factors.
Test Data:
If n = (13)
Expected Output :
[13, 12, 11, 10, 9, 8, 7]
360360
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11. Write a Python program to calculate the difference between the squared sum of the first n natural numbers and the sum of squared first n natural numbers.(default value of number=2).
Test Data:
If sum_difference(12)
Expected Output :
5434
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12. Write a Python program to calculate the sum of all digits of the base to the specified power.
Test Data:
If power_base_sum(2, 100)
Expected Output :
115
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13. Write a Python program to find out if the given number is abundant.
Note: In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number itself. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16.
Test Data:
If is_abundant(12)
If is_abundant(13)
Expected Output:
True
False
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14. Write a Python program to find out if the given number is abundant.
Note: Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. (A proper divisor of a number is a positive factor of that number other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.)
Test Data:
If amicable_numbers_sum(9999)
If amicable_numbers_sum(999)
If amicable_numbers_sum(99)
Expected Output:
31626
504
0
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15. Write a Python program to return the sum of all divisors of a number.
Test Data:
If number = 8
If number = 12
Expected Output:
7
16
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16. Write a Python program to print all permutations of a given string (including duplicates).
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17. Write a Python program to print the first n lucky numbers.
Lucky numbers are defined via a sieve as follows.
Begin with a list of integers starting with 1 :
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, . . . .
Now eliminate every second number :
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, .
The second remaining number is 3, so remove every 3rd number:
1, 3, 7, 9, 13, 15, 19, 21, 25, .
The next remaining number is 7, so remove every 7th number:
1, 3, 7, 9, 13, 15, 21, 25, .
Next, remove every 9th number and so on.
Finally, the resulting sequence is the lucky numbers.
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18. Write a Python program to compute square roots using the Babylonian method.
Perhaps the first algorithm used for approximating √S is known as the Babylonian method, named after the Babylonians, or "Hero's method", named after the first-century Greek mathematician Hero of Alexandria who gave the first explicit description of the method. It can be derived from (but predates by 16 centuries) Newton's method. The basic idea is that if x is an overestimate to the square root of a non-negative real number S then S / x will be an underestimate and so the average of these two numbers may reasonably be expected to provide a better approximation.
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19. Write a Python program to multiply two integers without using the * operator.
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20. Write a Python program to calculate the magic square.
A magic square is an arrangement of distinct numbers (i.e., each number is used once), usually integers, in a square grid, where the numbers in each row, and in each column, and the numbers in the main and secondary diagonals, all add up to the same number, called the "magic constant." A magic square has the same number of rows as it has columns, and in conventional math notation, "n" stands for the number of rows (and columns) it has. Thus, a magic square always contains n2 numbers, and its size (the number of rows [and columns] it has) is described as being "of order n".
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21. Write a Python program to print all primes (Sieve_of_Eratosthenes) smaller than or equal to a specified number.
In mathematics, the sieve of Eratosthenes, one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the multiples of 2.
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22. Write a Python program to find the next smallest palindrome of a specified number.
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23. Write a Python program to find the next and previous palindromes of a specified number.
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24. Write a Python program to convert a float to ratio.
25. Write a Python program for the nth Catalan numbers.
In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects. They are named after the Belgian mathematician Eugène Charles Catalan (1814 –1894).
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26. Write a Python program to display numbers separated by commas as thousands.
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27. Write a Python program to calculate the distance between two points using latitude and longitude.
Input coordinates of two points: Starting latitude: 23.5 Ending longitude: 67.5 Starting latitude: 25.3 Ending longitude: 69.5 The distance is 284.73km.
28. Write a Python program to calculate the area of a regular polygon.
Input number of sides: 4 Input the length of a side: 25 The area of the polygon is: 625.0000000000001
29. Write a Python program to calculate the wind chill index.
Input wind speed in kilometers/hour: 150 Input air temperature in degrees Celsius: 29 The wind chill index is 31
30. Write a Python program to find the roots of a quadratic function.
Quadratic function : (a * x^2) + b*x + c a: 25 b: 64 c: 36 There are 2 roots: -0.834579 and -1.725421
31. Write a Python program to convert a decimal number to a binary number.
Input a binary number: 101011 The decimal value of the number is 43
32. Write a Python program to print a complex number and its real and imaginary parts.
Complex Number: (2+3j) Complex Number - Real part: 2.0 Complex Number - Imaginary part: 3.0
33. Write a Python program to add, subtract, multiply, and divide two complex numbers.
Addition of two complex numbers : (7-4j) Subtraction of two complex numbers : (1+10j) Multiplication of two complex numbers : (33-19j) Division of two complex numbers : (-0.15517241379310348+0.6379310344827587j)
34. Write a Python program to get the length and the angle of a complex number.
Length of a complex number: 5.0 Complex number Angle: 1.5707963267948966
35. Write a Python program to convert Polar coordinates to rectangular coordinates.
Polar Coordinates: (5.0, 0.9272952180016122) Polar to rectangular: (-2+2.4492935982947064e-16j)
36. Write a Python program to find the maximum and minimum numbers from the specified decimal numbers.
Decimal numbers : 2.45, 2.69, 2.45, 3.45, 2.00, 0.04, 7.25
Maximum: 7.25 Minimum: 0.04
37. Write a Python program to find the sum of the following decimal numbers and display the numbers in sorted order.
Decimal numbers : 2.45, 2.69, 2.45, 3.45, 2.00, 0.04, 7.25
Sum: 20.33 Sorted order: [Decimal('0.04'), Decimal('2.00'), Decimal('2.45'), Decimal('2.45' ), Decimal('2.69'), Decimal('3.45'), Decimal('7.25')]
38. Write a Python program to get the square root and exponential of a given decimal number.
Decimal number : 1.44
Square root of 1.44 is : 1.2 exponential of 1.44 is : 4.220695816996552825673328929
39. Write a Python program to retrieve the current global context (public properties) for all decimal.
Emax = 999999 Emin = -999999 capitals = 1 prec = 28 rounding = ROUND_HALF_EVEN flags = : False .
40. Write a Python program to round a specified decimal by setting precision (between 1 and 4).
Sample Number : 0.26598
Original Number : 0.26598
Precision- 1 : 0.3
Precision- 2 : 0.27
Precision- 3 : 0.266
Precision- 4 : 0.2660
Original Number : 0.26598 Precision- 1 : 0.3 Precision- 2 : 0.27 Precision- 3 : 0.266 Precision- 4 : 0.2660
41. Write a Python program to round a specified number upwards towards infinity and down towards negative infinity with precision 4.
1/17 = 0.05882352941176470588235294118 Precision: 4 Round upwards towards infinity: 0.05883 Round down towards negative infinity: 0.05882
42. Write a Python program to get the local and default precision.
Local precision: 2 22/7 = 3.1 Default precision: 28 22 /7 = 3.142857142857142857142857143
43. Write a Python program to display fraction instances of the string representation of a number.
Sample data : '0.7', '2.5', '9.32', '7e-1'
0.7 = 7/10 2.5 = 5/2 9.32 = 233/25 7e-1 = 7/10
44. Write a Python program to create fraction instances of float numbers.
Sample numbers: 0.2, 0.7, 6.5, 6.0
0.2 = 3602879701896397/18014398509481984 0.7 = 3152519739159347/4503599627370496 6.5 = 13/2 6.0 = 6
45. Write a Python program to create fraction instances of decimal numbers.
Sample decimal.2' number: Decimal('0), Decimal('0.7'), Decimal('2.5'), Decimal('3.0')
0.2 = 1/5 0.7 = 7/10 2.5 = 5/2 3.0 = 3
46. Write a Python program to add, subtract, multiply and divide two fractions.
2/3 + 3/7 = 23/21 2/3 - 3/7 = 5/21 2/3 * 3/7 = 2/7 2/3 / 3/7 = 14/9
47. Write a Python program to convert a floating point number (PI) to an approximate rational value on the various denominators.
PI = 3.141592653589793 No limit = 3141592653589793/1000000000000000 1 = 3 5 = 16/5 50 = 22/7 90 = 267/85 100 = 311/99 500 = 355/113 1000000 = 3126535/995207
48. Write a Python program to generate random floating numbers in a specific numerical range.
16.329 17.326 54.024 13.229 68.952 87.039
49. Write a Python program to generate random integers in a specific numerical range.
24 12 72 13 56 80
50. Write a Python program to generate random even integers in a specific numerical range.
44 50 46 62 94 14
51. Write a Python program to get a single random element from a specified string.
52. Write a Python program to shuffle the following elements randomly.
Sample elements : [1, 2, 3, 4, 5, 6, 7]
[2, 1, 7, 5, 3, 4, 6]
53. Write a Python program to flip a coin 1000 times and count heads and tails.
Heads: 5073 Tails: 4927
54. Write a Python program to print a random sample of words from the system dictionary.
cellophane's matter's Whiteley's airdrop's sulkiest whisper's downturns
55. Write a Python program to randomly select an item from a list.
56. Write a Python program to calculate the absolute value of a floating point number.
2.1 0.0 10.1 0.0
57. Write a Python program to calculate the standard deviation of the following data.
Sample Data: [4, 2, 5, 8, 6] Standard Deviation : 2.23606797749979
58. Write a Python program to print the floating point of the mantissa, exponent pair.
Mantissa Exponent Floating point value -------- -------- -------------------- 0.70 -3 0.09 0.30 0 0.30 0.50 3 4.00
59. Write a Python program to split the fractional and integer parts of a floating point number.
(F) (I) 0/2 = 0.0 (0.0, 0.0) 1/2 = 0.5 (0.5, 0.0) 2/2 = 1.0 (0.0, 1.0) 3/2 = 1.5 (0.5, 1.0) 4/2 = 2.0 (0.0, 2.0) 5/2 = 2.5 (0.5, 2.0)
60. Write a Python program to parse math formulas and put parentheses around multiplication and division.
Sample data : 4+5*7/2
4+((5*7)/2)
61. Write a Python program to describe linear regression.
Note : A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).
Enter the number of data points: 2 X1: 1 Y1: 2 X2: 3 Y2: 4 Best fit line: y = 1.0x + 1.0 Enter a value to calculate: 12 y = 13.0
62. Write a Python program to calculate a grid of hexagon coordinates of the given radius given lower-left and upper-right coordinates. The function will return a list of lists containing 6 tuples of x, y point coordinates. These can be used to construct valid regular hexagonal polygons.
[[(-5.0, -4.196152422706632), (-5.0, -0.7320508075688767), (-2.0, 1.0), (1.0, -0. 7320508075688767), (1.0, -4.196152422706632), (-2.0, -5.928203230275509), (-5.0, -4.196152422706632)], [(1.0, -4.196152422706632), (1.0, -0.7320508075688767), (4. 0, 1.0), (7.0, -0.7320508075688767), (7.0, -4.196152422706632).
63. Write a Python program to create a simple math quiz.
************************ ** A Simple Math Quiz ** ************************ 1. Addition 2. Subtraction 3. Multiplication 4. Integer Division 5. Exit ------------------------ Enter your choice: 1 Enter your answer 1 + 5 = 6 Correct. . Your score is 100.0%. Thank you.
64. Write a Python program to calculate the volume of a tetrahedron.
Note: In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons) is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces.
117.85
65. Write a Python program to compute the value of e(2.718281827. ) using an infinite series.
The mathematical constant e 2.7182818282861687 2.718281828459045
66. Write a Python program to create an ASCII waveform.
67. Write a Python program to create a dot string.
68. Write a Python program to create a Pythagorean theorem calculator.
Note : In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Pythagorean theorem calculator! Calculate your triangle sides. Assume the sides are a, b, c and c is the hypotenuse (the side opposite the right angle Which side (a, b, c) do you wish to calculate? side>a Input the length of side b:10 Input the length of side c:20 The length of side a is 17.320508075688775
69. Write a Python function to round up a number to specified digits.
Original Number: 123.01247 124 123.1 123.02 123.013
70. Write a Python program for a casino simulation.
Exp 0 Exp 1 Exp 2 Exp 3 Exp 4 . Exp 998 Exp 999 Average max amount earned 10493.144 with standard deviation 50.892644498001886
71. Write a Python program to reverse a range.
range(9, -1, -2) range(4, 0, -1)
72. Write a Python program to create a range for floating numbers.
[0.0, 0.1, 0.2, 0.30000000000000004, 0.4, 0.5, 0.6000000000000001, 0.700000000000 0001, 0.8, 0.9, 1.0] 01, 0.7000000000000001, 0.8, 0.9, 1.0]
73. Write a Python program to generate (given an integer n) a square matrix filled with elements from 1 to n raised to the power of 2 in spiral order.
[[1, 2, 3], [8, 9, 4], [7, 6, 5]]
74. Write a Python program to select a random date in the current year.
2016-02-08
75. Write a Python program to calculate clusters using the Hierarchical Clustering method.
Input number of points.> 2 Input point (eg. 1,1)A> 1,2 Input point (eg. 1,1)B> 3,4 Distance matrix no.1: [0.0, 2.83] [2.83, 0.0] Cluster is : [AB]
76. Write a Python program to implement the Euclidean Algorithm to compute the greatest common divisor (GCD).
304 = 2 * 150 + 4 150 = 37 * 4 + 2 4 = 2 * 2 + 0 gcd is 2 . 6 = 2 * 3 + 0 gcd is 3
77. Write a Python program to convert RGB color to HSV color.
(0, 0.0, 100.0) (120.0, 100.0, 84.31372549019608)
78. Write a Python program to find perfect squares between two given numbers.
79. Write a Python program to compute Euclidean distances.
Note: In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" (i.e. straight-line) distance between two points in Euclidean space. With this distance, Euclidean space becomes a metric space. The associated norm is called the Euclidean norm.
Euclidean distance from x to y: 4.69041575982343
80. Write a Python program to convert an integer to a 2 byte Hex value.
1 --> 0x01 2 --> 0x02 3 --> 0x03 4 --> 0x04 5 --> 0x05 6 --> 0x06 7 --> 0x07 8 --> 0x08 9 --> 0x09
81. Write a Python program to generate a series of distinct random numbers.
82. Write a Python program to convert a given float value to a ratio.
83. Write a Python program to calculate the aliquot sum of a given number.
Input value: 15 ('Aliquot Sum', 9) Input value: 12 ('Aliquot Sum', 16) Input value: -6 Input must be positive Input value: 12.22 Input must be an integer Input value: zz Input must be an integer
84. Write a Python program to get the nth tetrahedral number from a given integer(n) value.
Original Number: 1 Tetrahedral number: 1.0 Original Number: 2 Tetrahedral number: 4.0 Original Number: 6 Tetrahedral number: 56.0
85. Write a Python program to get the sum of the powers of all the numbers from start to end (both inclusive).
650 6084 618507
86. Write a Python program to calculate the Hamming distance between two given values.
Hamming distance between 2 and 3 is 1 Hamming distance between 43 and 87 is 5
87. Write a Python program to cap a number within the inclusive range specified by the given boundary values x and y.
4 -1 10 10 5 10
88. Write a Python program to check whether a given number is a Disarium number or an unhappy number.
Is 25 is Disarium number? False Is 89 is Disarium number? True Is 75 is Disarium number? False Is 125 is Disarium number? False Is 518 is Disarium number? True
89. Write a Python program to check if a given number is a repdigit number or not. If the given number is repdigit return true otherwise false.
Sample Data:
(0) -> True
(1) -> True
(-1111) -> False
(9999999) -> True
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90. Write a Python program to check if a given number is a Harshad number or not. Return True if the number is Harshad otherwise False.
Sample Data:
(666) -> True
(11) -> False
(-144) -> None
(200) -> True
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91. Write a Python program that accepts an integer number with distinct digits and displays the next number containing only distinct digits.
Sample Data:
12345) -> 12346
(99999) -> 102345
(100) -> 102
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92. Write a Python program that checks whether the absolute difference between two consecutive digits is two or not. Return true otherwise false.
Sample Data:
(666) -> False
(3579) -> True
(2468) -> True
(20420) -> False
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93. Write a Python program that takes an integer and rearranges the digits to create two maximum and minimum numbers.
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94. Write a Python program to calculate the sum of all prime numbers in a given list of positive integers.
Sample Data:
([1, 3, 4, 7, 9]) -> 10
([]) -> Empty list!
([11, 37, 444]) -> 48
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