# C programming Math : Exercises, Practice and Solution

## C programming Mathematics [28 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 (x^{n}). 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

Click me to see the solution

**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

Click me to see the solution

**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

Click me to see the solution

**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.

Click me to see the solution

**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

Click me to see the solution

**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.

Click me to see the solution

**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).

Click me to see the solution

**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 e^{0} 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

Click me to see the solution

**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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**C Programming Code Editor:**

**More to Come !**

**Do not submit any solution of the above exercises at here, if you want to contribute go to the appropriate exercise page.**

## C Programming: Tips of the Day

** Maximum value of int:**

In C:

#include <limits.h> then use int imin = INT_MIN; // minimum value int imax = INT_MAX;

or

#include <float.h> float fmin = FLT_MIN; // minimum positive value double dmin = DBL_MIN; // minimum positive value float fmax = FLT_MAX; double dmax = DBL_MAX;

Ref : https://bit.ly/3fi8yk9

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