Rearrange the following sentences to form a coherent paragraph: 1. This makes them ideal for tasks like image recognition, natural language processing, and medical diagnostics. 2. Machine learning is a subset of artificial intelligence that focuses on the creation of algorithms that can learn from data without explicit programming. 3. The algorithm improves its performance by analyzing vast amounts of input data and identifying underlying patterns. 4. Instead of being given a set of rules, a machine learning model is trained on examples.

Correct — A. Sentence 2 names the topic outright — 'Machine learning is a subset of artificial intelligence' — so it opens.

4 explains 2's 'without explicit programming': 'Instead of being given a set of rules, a machine learning model is trained on examples.'
3 says what that training does: the algorithm improves by 'identifying underlying patterns'.
1 closes on what this suits: 'This makes them ideal for tasks like image recognition' → 2, 4, 3, 1, option (a).

Why the others are wrong

• (b)
  4, 3, 2, 1 — Opens with sentence 4, which uses machine learning model before sentence 2 has said what machine learning is, and pushes that defining sentence to third place.
• (c)
  3, 4, 2, 1 — Opens with 'The algorithm improves its performance', which treats the algorithm as already introduced, and holds the definition of machine learning until third place.
• (d)
  2, 3, 4, 1 — Starts and ends correctly but puts 3 before 4. Sentence 4's 'Instead of being given a set of rules' picks up 2's 'without explicit programming', so it belongs directly after 2.

Solve a jumble in two passes. First find the opener: the sentence that introduces its subject without pointing back to anything.

Then chain the rest by links — a phrase that picks up an earlier one, or a This that needs the idea it refers to just before it.

Here the chain runs definition (2), how the learning works (4), what the learning achieves (3), and what it is used for (1).

Key facts

• A sentence that defines the topic without referring back, such as 'Machine learning is a subset of artificial intelligence', can open a paragraph.
• Sentence 4's 'Instead of being given a set of rules' restates sentence 2's 'without explicit programming'.
• This at the start of sentence 1 refers back to the pattern-finding described in sentence 3.

Common traps

• Putting 3 straight after 2 because 'The algorithm' echoes 'algorithms' — 4 is the sentence that explains 'without explicit programming'.
• Opening with sentence 4 because it reads like a general statement — it uses machine learning model before the term is defined.

No directly related past PYQ was found.