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Calculate cosine without cos(x)
Solve cos(x). The use of the function cos() and sin() is not allowed.

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Determine if input is a perfect number
A <http://en.wikipedia.org/wiki/Perfect_number/ perfect number> occurs whent the sum of all divisors of a positive integer, exce...

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Alternately upper-lower case
Modify the string to alternate between upper and lower case. For example, s='achyuta' output='AcHyUtA'

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interesting center of magic matrix
output the centre of magic matrix of n input=7; output=25

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execute the declaration in strings and return value
execute the commands in strings and return value input='a=23' output=23

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most frequent character
Obtain the most frequent character. For example, s='balaram'; output='a'; If there is a tie between letters, return t...

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union without repitition
Let a = [9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 5 5 4 2 1] b = [1 1 1 3 3 3 3 3 4 4 4 4 4 10 10 10] Output should be [9 8...

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Diagonal & Anti-Diagonal Matrix: Easy
Create a matrix as shown below from "magic" square. For example: if input x=9;then use mgic(x) and create the matrix...

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Upper triangular matrix
Create a function to retrieve the upper triangular matrix of a matrix (without using tril). The matrix will always be square. ...

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Put Two 1D matrices into one 1D matrix
Example: If input a = [1 2 3 4 5]; input b = [10 9 8 7 6]; then output will be, y_correct = [1 10 2 9 3 8 4 7 5...

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Number of odd and even elements within matrix
Input(m) - any matrix with integers Output(n) - n(1)=number of odd elements, n(2)=number of even elements Example: * m=...

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Half?
If you toss an even number (x) of coins, what is the probability (y) of 50% head and 50% tail?

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Set some matrix elements to zero
First get the maximum of each *row*, and afterwards set all the other elements to zero. For example, this matrix: 1 2 3 ...

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Find the index of nth maximum of a row vector of real numbers
Given a vector of real numbers x, find the index idx of _n_ th maximum value. If nth maximum occurs more than once, return the i...

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Dots in a Circle
Return how many integer grid points there are inside a circle of radius _r_ centred at (0,0) (including points on the edge). ...

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Pascal's Matrix
Given an integer n ≥ 0, generate the ( _n_+1) × ( _n_+1) lower triangular <http://en.wikipedia.org/wiki/Pascal_matrix P...

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Find maximum value of a curve
Two vectors shall be already defined: - Input vector x (e.g. x = 0:1:10) - Result vector y (e.g. y = sin(x)) Create a n...

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Check if integer
Given a vector of elements, determine if each element is an integer and return true or false accordingly.

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Solving a quadratic equation
Given a, b and c, Return the solution of the following quadratic equation: a*x^2 + b*x + c = 0.

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Find elements of set A those are not in set B
Given two sets of data A and B. Find elements of A those are not in set B. ...

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Guess Cipher
Guess the formula to transform strings as follows: 'Hello World!' --> 'Ifmmp Xpsme!' 'Can I help you?' --> 'Dbo J ifm...

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Values in Array
How many values are in the array

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Power of n ?
Determine if _x_ (positive integer) is a power of _n_, return true or false accordingly.

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prime to each other
Given two integers n1, n2 greater than 1, find out if they have common divisors or are prime to each other. Return "true" if the...

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Number of occurrences of letter in a text
Given an input text either as a string or as a cell array of strings, return a (1 x 26) matrix containing the number of occurren...

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multiple of nine?
Given a positive number n, return true if n is a multiple of 9 and false if not. Do not make the division and do not use functio...

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Divisors of an integer
Given a number N, return a vector V of all integers that divide N. For example, N = 10 Then V=[1 2 5 10]

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Find the Area of a Polygon
Consider 2-D geometry and assume that the points are given in form of rows of a matrix. Find the area of polygon enclosed by the...

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Matlab Basics II - Determine if an array has a 3rd dimension
For an array A, determine whether it has 3 dimensions, return 0 if x is only 2D, and 1 if x is 3D

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Matlab Basics II - 3 Dimensional Arrays
Assume x is a 3D array with n pages, representing students in a class, for each student (page in the array, the 3rd dimension), ...

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