PHP Exercises: Test if a given non-negative number is a multiple of 13 or it is one more than a multiple of 13

Last update on May 28 2025 13:07:47 (UTC/GMT +8 hours)

41. Multiple of 13 or One More Than Multiple

Write a PHP program to test if a given non-negative number is a multiple of 13 or it is one more than a multiple of 13.

Sample Solution:

PHP Code :

<?php
// Define a function that checks if a number satisfies a certain condition related to modulo 13
function test($n)
{
    // Check if the remainder of $n divided by 13 is 0 or 1
    return $n % 13 == 0 || $n % 13 == 1;
}

// Test the function with different values
var_dump(test(13));
var_dump(test(14));
var_dump(test(27));
var_dump(test(41));
?>

Explanation:

Function Definition:

The test function checks whether a number $n meets a specific condition involving the modulo operation with 13.

Condition Checked:

The function checks if $n is either:

Divisible by 13 ($n % 13 == 0), or
Leaves a remainder of 1 when divided by 13 ($n % 13 == 1).

If either condition is met, it returns true; otherwise, it returns false.

Output:

bool(true)
bool(true)
bool(true)
bool(false)

Flowchart:

For more Practice: Solve these Related Problems:

Write a PHP script to check if a non-negative number is an exact multiple of 13 or exactly one more than a multiple of 13.
Write a PHP function to validate a number by computing its remainder when divided by 13 and comparing with 0 or 1.
Write a PHP program to use modulo arithmetic to determine if a number meets the criteria for multiples of 13 or one unit above.
Write a PHP script to simulate the condition check for multiples of 13 plus one using conditional statements.

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