C programming Math : Exercises, Practice and Solution

C programming Mathematics [38 exercises with solution]

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1. Write a C program to reverse the digits of a given integer. Go to the editor
Example:
Input:
i = 123
i = 208478933
i = -73634
Output:
Reverse integer: 321
Reverse integer: 339874802
Reverse integer: -43637
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2. Write a C program to check whether an integer is a palindrome or not. An integer is a palindrome when it reads the same forward as backward. Go to the editor
Example:
Input:
i = 1221
i = -121
i = 100
Output:
Is Palindrome: 1
Is Palindrome: 0
Is Palindrome: 0
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3. Write a C program to divide two integers (dividend and divisor) without using multiplication, division and mod operator. Go to the editor
Example:
Input:
dividend_num = 7
divisor_num = 2

dividend_num = -17
divisor_num = 5

dividend_num = 35
divisor_num = 7
Output:
Result: 3
Result: -3
Result: 5
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4. Write a C program to calculate x raised to the power n (xⁿ). Go to the editor
Example:
Input:
x = 7.0
n = 2

x = 6.2
n = 3
Output:
Result:(x^n) : 49.000000
Result:(x^n) : 238.328000
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5. The following set contains a total of n! unique permutations
Set: [1, 2, 3, ..., n]
If n =3 we will get the following sequence:
1. "123"
2. "132"
3. "213"
4. "231"
5. "312"
6. "321"
Input: n = 3, k = 4
Output: "231"
Write a C program to get the k^th permutation sequence from two given integers n and k where n is between 1 and 9 inclusive and k is between 1 and n! inclusive. Go to the editor
Example:
Input:
n = 3
int k = 2

n = 4
k = 7
Output:
Kth sequence: 132
Kth sequence: 2134
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6. Write a C program to check if a given string can be interpreted as a decimal number. Go to the editor
Example:
Input:
str_num1[ ] ="1234"
str_num2[ ]=" 0.1 "
str_num3[ ]=" -90e3 "
str_num4[ ]=" 99e2.5 "
Output:
Is the above string is a number? 1
Is the above string is a number? 1
Is the above string is a number? 1
Is the above string is a number? 0
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7. Write a C program to get the fraction part from two given integers representing the numerator and denominator in string format. Go to the editor
Example:
Input:
n = 3
d = 2

n = 4
d = 7
Output:
Fractional part: 1.5
Fractional part: 0.(571428)
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8. Write a C program to get the Excel column title that corresponds to a given column number (integer value). Go to the editor
For example:
1 -> A
2 -> B
3 -> C
...
26 -> Z
27 -> AA
28 -> AB
...
Example:
Input:
n = 3
n = 27
n = 151
Output:
Excel column title: C
Excel column title: AA
Excel column title: EU
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9. Write a C program to get the column number (integer value) that corresponds to a column title as appear in an Excel sheet. Go to the editor
For example:
A -> 1
B -> 2
C -> 3
...
Z -> 26
AA -> 27
AB -> 28
...
Example:
Input:
col_title1[ ] ="C"
col_title2[ ] ="AC"
col_title3[ ] ="ZY"
Output:
Corresponding number: 3
Corresponding number: 29
Corresponding number: 701
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10. Write a C program to find the number of trailing zeroes in a given factorial. Go to the editor
Example 1:
Input: 4
Output: 0
Explanation: 4! = 24, no trailing zero.
Example 2:
Input: 6
Output: 1
Explanation: 6! = 720, one trailing zero.

Example:
Input:
n = 4
n = 5
Output:
Number of trailing zeroes of factorial 4 is 0
Number of trailing zeroes of factorial 5 is 1
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11. Write a C program to count the total number of digit 1 appearing in all positive integers less than or equal to a given integer n. Go to the editor
Example:
Input n = 12,
Return 5, because digit 1 occurred 5 times in the following numbers: 1, 10, 11, 12.
Example:
Input:
n = 12
n = 30
Output:
Total number of digit 1 appearing in 12 (less than or equal) is 5.
Total number of digit 1 appearing in 30 (less than or equal) is 13.
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12. Write a C programming to add repeatedly all digits of a given non-negative number until the result has only one digit. Go to the editor
Example:
Input: 48
Output: 2
Explanation: The formula is like: 4 + 8 = 12, 1 + 2 = 3.
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13. Write a C programming to check if a given integer is a power of three. Go to the editor
Example:
Input: 9
Output: true
Input: 81
Output: true
Input: 45
Output: false
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14. For a non negative integer in the range 0 ≤ i ≤ n write a C programming to calculate the number of 1's in their binary representation and return them as an array. Go to the editor
Example:
Input:
Number: 7
Number of 1's in the binary representation:
0: 0
1: 1
2: 1
3: 2
4: 1
5: 2
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15. Write a C programming to get the maximum product from a given integer after breaking the integer into the sum of at least two positive integers. Go to the editor
Example:
Input: 12
Output: 81
Explanation: 12 = 3 + 3 + 3 + 3, 3 x 3 × 3 × 3 = 81.
Input: 7
Output: 12
Explanation: 7 = 3 + 2 + 2, 3 x 2 x 2 = 12.
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16. Lexicographical order:
From Wikipedia,
In mathematics, the lexicographic or lexicographical order (also known as lexical order, dictionary order, alphabetical order or lexicographic(al) product) is a generalization of the way words are alphabetically ordered based on the alphabetical order of their component letters. This generalization consists primarily in defining a total order on the sequences (often called strings in computer science) of elements of a finite totally ordered set, often called an alphabet.
Write a C programming to print numbers from 1 to an given integer(N) in lexicographic order. Go to the editor
Example:
Input: 10
Output:
Print numbers from 1 to 10 in lexicographic order-
1 10 2 3 4 5 6 7 8 9
Input: 25
Output:
Print numbers from 1 to 25 in lexicographic order-
1 10 11 12 13 14 15 16 17 18 19 2 20 21 22 23 24 25 3 4 5 6 7 8 9
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17. Write a C programming to find the nth digit of number 1 to n?. Go to the editor
Infinite integer sequence: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 .. where n is a positive integer.
Example:
Input:
7
Output:
7
Input:
12
Output:
1
The 12th digit of the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ... is 1, which is part of the number 11.
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18. Write a C programming to find the total number of full staircase rows that can be formed from given number of dices. Go to the editor
Example 1:
n = 5
The dices can form the following rows:

As the 3rd row is incomplete the program will return 2 (full staircase rows).
Example 1:
n = 8 The dices can form the following rows:

As the 4th row is incomplete the program will return 3 (full staircase rows).
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19. Write a C program to find the square root of a number using Babylonian method. Go to the editor
Example 1:
Input: n = 50
Output: 7.071068
Example 2:
Input: n = 17
Output: 4.123106
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20. Write a C program to multiply two integers without using multiplication, division, bitwise operators, and loops. Go to the editor
Example 1:
Input: n1 = 50
Input: n2 = 12
Output: 600
Example 2:
Input: n1 = 0
Input: n2 = 12
Output: 0
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21. Write a C program to calculate and print average (or mean) of the stream of given numbers. Go to the editor
Example 1:
Input:
arr[] = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
Output:
Average of 1 numbers is 10.000000
Average of 2 numbers is 15.000000
Average of 3 numbers is 20.000000
Average of 4 numbers is 25.000000
Average of 5 numbers is 30.000000
Average of 6 numbers is 35.000000
Average of 7 numbers is 40.000000
Average of 8 numbers is 45.000000
Average of 9 numbers is 50.000000
Average of 10 numbers is 55.000000
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22. Write a C program to count the numbers without digit 7, from 1 to a given number. Go to the editor
Example 1:
Input: n = 10
Output: 9
Example 2:
Input: n = 687
Output: 555
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23. Write a C program to find next smallest palindrome of a given number. Go to the editor
From Wikipedia,
A palindrome is a word, number, phrase, or other sequence of characters which reads the same backward as forward, such as madam, racecar. There are also numeric palindromes, including date/time stamps using short digits 11/11/11 11:11 and long digits 02/02/2020. Sentence-length palindromes may be written when allowances are made for adjustments to capital letters, punctuation, and word dividers, such as "A man, a plan, a canal, Panama!".
Example 1:
Input: n = 121
Output: Next smallest palindrome of 121 is 131
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24. Write a C program to calculate e raise to the power x using sum of first n terms of Taylor Series. Go to the editor
From Wikipedia,
In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.
Example:
The Taylor series for any polynomial is the polynomial itself.

The above expansion holds because the derivative of e^x with respect to x is also e^x, and e⁰ equals 1.
This leaves the terms (x − 0)ⁿ in the numerator and n! in the denominator for each term in the infinite sum.
Example 1:
Input: n = 25
float x= 5.0
Output: e^x = 148.413162
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25. Write a C program to print all prime factors of a given number. Go to the editor
Example 1:
Input: n = 75
Output: All prime factors of 75 are: 3 5 5
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26. Write a C program to check if a given number is Fibonacci number or not. Go to the editor
In mathematics, the Fibonacci numbers, commonly denoted F_n form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1. That is, and for n > 1. By starting with 1 and 2, the first 10 terms will be: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.
Example 1:
Input: n = 8
Output: 1
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27. Write a C program to multiply two numbers using bitwise operators. Go to the editor

Example 1:
Input: int x = 8
int y = 9
Output: Product of 8 and 9 using bitwise operators is: 72
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28. Write a C program to find angle between given hour and minute hands. Go to the editor

Example 1:
Input: int ha = 11
int ma = 30 Output: Angle between hour and minute hands 165
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29. Write a C programming to get the smallest number of square numbers that add up to an integer n. Go to the editor
In mathematics, a perfect square is a number that can be expressed as either the product of an integer by itself or as the second exponent of an integer..
Sample Data:
14 = 3² + 2² + 1²
Output – 3
15 = 3² + 2² + 1² + 1²
Output - 4
16 = 4²
Output – 1
17 = 4² + 1²
Output – 2
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30. Write a C program that accepts a number (n) and counts all numbers with unique digits of length x within a specified range. Go to the editor
Range: 0 <= x < 10ⁿ
Test Data:
(1) -> 10
(2) -> 91
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31. Write a C programming to calculate the largest number that can be generated by swapping just two digits at most once. Go to the editor
Test Data:
(89) -> 98 [Swapping 8 and 9]
(568) -> 865 [Swapping 8 and 5]
(4499) -> 9494 [Swapping 9 and 4]
(12345) -> 52341 [Swapping 1 and 5]
(7743) -> 52341 [No Swap]
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32. Write a C programming to check whether a given integer can be expressed as the sum of any non-negative integer and its reverse. Return true otherwise false. Go to the editor
Test Data:
(554) -> 1
(51) -> 0
(55) -> 1
(181) -> 1
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33. Write a C program to count the digits in a given number that divide it. Go to the editor
Test Data:
(9) -> 1
(27) -> 0
(145) -> 2
(2245) -> 1
(2222) -> 4
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34. Write a C program that creates a multiplication table of size m x n using integers where 1 <= k <= m * n. Return the k^th smallest element in the said multiplication table. Go to the editor
In mathematics, a multiplication table is a mathematical table used to define a multiplication operation for an algebraic system. The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations with base-ten numbers
Test Data:
(3,3,8) -> 6
(2,3,4) -> 3
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35. Write a C program that accepts an integer and find all prime factors of the integer. Go to the editor
Prime factors of a number are those factors that are prime numbers. 2 and 4 are factors of 4, where 2 is considered the prime factor.
Test Data:
(77) -> 7, 11
(12) -> 2, 2, 3
(45) -> 3, 3, 5
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36. Write a C program to count common factors of the two given integers. Go to the editor
Factor - A number or algebraic expression that divides another evenly, that is, without leaving a remainder.
Test Data:
(18, 6) -> 4
(45, 105) -> 4
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37. Write a C program that counts the number of integers whose digits are unique from 1 and a given integer value. Go to the editor
Test Data:
(30) -> 28
(135) -> 110
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38. Accept a positive integer (n) from the user. Write a C program that counts the number of positive integers from 1 to n whose digit sums are odd. Go to the editor
Test Data:
(5) -> 3
(10) -> 6
(11) -> 6
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