ZWE4ZTFiZGNkNjg4YjZhZDk4ZTYwNTNkYmIxOWRkODNhM2IxNjdhMDVhZDUxNmYwMGJmYmRjNDhjZjEzYWY1Mg.msfhd5al.eyJ1cmwiOiIvcGwvY291cnNlX2luc3RhbmNlLzIvaW5zdGFuY2VfcXVlc3Rpb24vMTk4LyIsImF1dGhuX3VzZXJfaWQiOiIxIn0
Skip to main content Accessibility guide
PrairieLearn Go home
  • XC 101, SectionA
  • Assessments
  • Gradebook
  • C4
Load from disk
  • Dev User student
    View type
    ✓ Staff view staff ✓ Student view student ✓ Student view without access restrictions student
    Effective user
    Customize…
    Course Requests Settings Log out

Regenerate assessment instance

Warning: Regenerating the assessment instance will select a new set of questions from this assessment. Any progress on the current assessment instance will be lost.

Are you sure you want to regenerate the assessment instance?

Course staff: Regenerate your assessment instance to pick up changes to the assessment or to get a fresh set of questions.

C4.11. Element pl-order-blocks-optional: Dragging blocks to form one of the solutions to a problem

Drag and drop SOME of the following blocks to prove the statement:

Construct a python function that computes the sum of two numbers.

Drag from here:
  • 1
    def my_sum(first, second):
    
  • 1
    return sum
    
  • 1
    sum += first + second
    
  • 1
    sum += first
    
  • 1
    sum += second
    
  • 1
    sum = 0
    
Construct your solution here:
Drag and drop SOME of the following blocks to prove the statement:

If $n$ is an even integer, then $n + 10$ is also an even integer.

Drag from here:
  • Then $n + 10 = 2m + 1$ for some integer $m$
  • Then we know that $n + 10 = 2m + 10 = 2(m + 5)$
  • Therefore, $n + 10$ is an even integer.
  • So $n + 10$ can be rewritten as $2$ times some integer
  • Since $m$ is an integer, $m+5$ is an integer.
  • Suppose by way of contradiction that $n + 10$ is odd.
  • Since $n$ can be written as 2 times and integer plus 1, then $n$ must be odd, which is a contradition.
  • By the definition of even, there exists some integer $m$ such that $n = 2m$.
  • We can rewrite this as $n = 2m - 9 = 2(m - 5) + 1.$
  • Since $m$ is integer, $m-5$ is integer
  • Let $n$ be an arbitrary even integer.
Construct your solution here:
Additional attempts available with new variants

Correct answer

Collection 4

Assessment overview
Total points: 0/360
Score:
0%

Question C4.11

Value: 2
All variants: Open (current)
Total points: — /10
Auto-graded question

This form is only for reporting errors in the question itself. Do not use this form if you just don't know how to answer the question.

Previous question Next question

 Personal Notes

No attached notes

Attached files will be saved here for your reference. These files act as personal notes and can be used for your own review purposes. They are not used for grading.

Max file size: 10 MB

Attached personal notes will be saved here for your reference. These notes can be used for your own review purposes. They are not used for grading.

Staff information

Student details

Dev User
dev@example.com

Question

QID:
element/orderBlocksOptional
Title:
Element pl-order-blocks-optional: Dragging blocks to form one of the solutions to a problem

Variant

Started at:
2026-08-04 16:37:44 (CDT)
Duration:
0s
Show/Hide answer
{
  "even-implies-even": [
    {
      "tag": "1",
      "uuid": "f68a8b8c-7159-40ad-be48-3f7e514b8201",
      "final": false,
      "index": 0,
      "indent": null,
      "depends": [],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "Let $n$ be an arbitrary even integer.",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "2",
      "uuid": "d9c2662e-2bcf-4595-bcac-910266276ea8",
      "final": false,
      "index": 1,
      "indent": null,
      "depends": [
        "1"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "By the definition of even, there exists some integer $m$ such that $n =\n    2m$.",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "3",
      "uuid": "c31aa64f-dd64-43cb-86db-47d9fd8a8626",
      "final": false,
      "index": 2,
      "indent": null,
      "depends": [
        "2"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "Then we know that $n + 10 = 2m + 10 = 2(m + 5)$",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "4",
      "uuid": "cf5f5bd8-2dbf-404c-9158-d6959aeaa32f",
      "final": false,
      "index": 3,
      "indent": null,
      "depends": [
        "2"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "Since $m$ is an integer, $m+5$ is an integer.",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "5",
      "uuid": "e6967daa-e4d9-4ec5-9314-7fb362ef37ad",
      "final": false,
      "index": 4,
      "indent": null,
      "depends": [
        "3",
        "4"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "So $n + 10$ can be rewritten as $2$ times some integer",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "7",
      "uuid": "d2d2d927-f583-4584-b772-56223296bb59",
      "final": false,
      "index": 5,
      "indent": null,
      "depends": [],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "Suppose by way of contradiction that $n + 10$ is odd.",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "8",
      "uuid": "c790203e-aea7-401d-a150-86f00262538a",
      "final": false,
      "index": 6,
      "indent": null,
      "depends": [
        "7"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "Then $n + 10 = 2m + 1$ for some integer $m$",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "9",
      "uuid": "aeaa686d-3286-4de5-a2a5-62dd2b522b08",
      "final": false,
      "index": 7,
      "indent": null,
      "depends": [
        "8"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "We can rewrite this as $n = 2m - 9 = 2(m - 5) + 1.$ ",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "10",
      "uuid": "d2220c37-5f68-4fb1-86a2-a7b4419e28ca",
      "final": false,
      "index": 8,
      "indent": null,
      "depends": [
        "8"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "Since $m$ is integer, $m-5$ is integer ",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "11",
      "uuid": "a73f652b-7037-451b-a527-5824f6ba1aeb",
      "final": false,
      "index": 9,
      "indent": null,
      "depends": [
        "9",
        "10"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "Since $n$ can be written as 2 times and integer plus 1, then $n$\n    must be odd, which is a contradition.",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "6",
      "uuid": "f4f6a58c-5fc5-4514-b11f-368c4640e5cd",
      "final": true,
      "index": 10,
      "indent": null,
      "depends": [
        [
          "5"
        ],
        [
          "11"
        ]
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "Therefore, $n + 10$ is an even integer.",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    }
  ],
  "python-plus-equals": [
    {
      "tag": "1",
      "uuid": "c4621fcd-229f-4c0d-a5c4-5539d2ef1fc1",
      "final": false,
      "index": 0,
      "indent": 0,
      "depends": [],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "<pl-code language=\"python\">def my_sum(first, second):</pl-code>",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "2",
      "uuid": "a3c5ff32-463b-40ff-9787-6540b1ddd597",
      "final": false,
      "index": 1,
      "indent": 1,
      "depends": [
        "1"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "<pl-code language=\"python\">sum = 0</pl-code>",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "3",
      "uuid": "b3593a73-9f00-47c7-bf31-01c16d1adcf0",
      "final": false,
      "index": 2,
      "indent": 1,
      "depends": [
        "2"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "<pl-code language=\"python\">sum += first</pl-code>",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "4",
      "uuid": "ec4392c3-1e21-4848-86fb-6344b3d65449",
      "final": false,
      "index": 3,
      "indent": 1,
      "depends": [
        "2"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "<pl-code language=\"python\">sum += second</pl-code>",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "5",
      "uuid": "bb256474-045c-4783-ae89-9daf4c70431e",
      "final": false,
      "index": 4,
      "indent": 1,
      "depends": [
        "2"
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "<pl-code language=\"python\">sum += first + second</pl-code>",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "6",
      "uuid": "d17972b6-b633-4d92-9130-36154fadfdef",
      "final": true,
      "index": 5,
      "indent": 1,
      "depends": [
        [
          "3",
          "4"
        ],
        [
          "5"
        ]
      ],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": "<pl-code language=\"python\">return sum</pl-code>",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    }
  ]
}

Assessment instance

Assessment:
gallery/elements
Started at:
2026-08-04 16:37:17 (CDT)
Duration:
0s
View log
This box is not visible to students.