Prac_Python_Questions.ipynb

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    "# Python Programming Exercises"
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   "source": [
    "Reference for some of these exercises is [here](https://www.w3resource.com/python-exercises/)."
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   "source": [
    "## Exercise 1\n",
    "\n",
    "Write a Python function to check whether a number is divisible by another number. Your function should accept two integers values and return a boolean. "
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    "**Examples**\n",
    "\n",
    "* $23/5 = 4 \\frac{3}{5} \\implies 23$ is not divisible by $5$ as the remainder is not $0 \\implies $ `False`\n",
    "* $20/5 = 4 \\frac{0}{5} = 4 \\implies 20$ is divisible by $5$ as the remainder is $0 \\implies $ `True`"
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    "## Exercise 2 \n",
    "\n",
    "Fibonacci numbers start with 0, 1 and continues such that the next number is the sum of the previous two numbers. Write a Python function that gives a list of the first $N$ Fibonacci numbers. \n",
    "\n",
    "**Bonus:** Make the first two numbers optional with default values of 0 and 1. "
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    "**Some illustrations**\n",
    "\n",
    "How does Fibonacci sequence look like?\n",
    "\n",
    "$$0, 1, 1, 2, 3, 5, 8, 13...$$\n",
    "\n",
    "In terms of iteration $i$, let $x_{i}$ be the $i^{th}$ number in a Fibonacci sequence, we can break down\n",
    "\n",
    "\n",
    "* $i = 0$, $a = x_0 = 0, b = x_1 = 1$\n",
    "* $i = 1$, $x_2 = x_1 + x_0 = 1 + 0 = 1$\n",
    "* $i = 2$, $x_3 = x_2 + x_1 = 1 + 1 = 2$\n",
    "* $i = 3$, $x_4 = x_3 + x_2 = 2 + 1 = 3$\n",
    "* $i = 4$, $x_5 = x_4 + x_3 = 5 + 3 = 8$\n",
    "\n",
    "* $\\vdots$\n",
    "\n",
    "In general, $x_{i+1} = x_{i} + x_{i-1}$.\n",
    "\n",
    "* $x_{i}' \\rightarrow x_{i+1} = x_{i} + x_{i-1}$ after one iteration\n",
    "* $x_{i-1}' \\rightarrow x_{i}$ after one iteration"
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   "source": [
    "## Exercise 3\n",
    "\n",
    "Write a Python program to count the number of even and odd numbers in a given list of numbers."
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   "source": [
    "## Exercise 4\n",
    "\n",
    "Write a Python function that accepts a string and calculates the number of upper case and lower case letters using a dictionary with two keys."
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   "source": [
    "**Tricks**\n",
    "\n",
    "* `.isupper()` and * `.islower()`\n"
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    "**Remarks**\n",
    "\n",
    "* Special characters are not alphabets. So, `'!'.isupper()` or `'!'.isupper()` will return `False`\n",
    "* Numeric characters are not alphabets. So, `'2'.isupper()` or `'2'.isupper()` will return `False`"
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   "source": [
    "## Exercise 5\n",
    "\n",
    "Write a Python program to store duplicate elements in a given list."
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    "## Exercise 6 \n",
    "\n",
    "Write a Python function that takes two lists and returns `True` if they have at least one common element."
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   "source": [
    "***\n",
    "www.featureranking.com"
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