Andhra Pradesh PSC – Reasoning Ability
Topic: Statement & Conclusion
Why it matters
The Statement & Conclusion (S&C) section tests your ability to read a paragraph (the Statement) and decide which of the options can be logically deduced from it (the Conclusion).
It is essentially a deductive reasoning exercise that appears on many competitive exams (PSC, UPSC, SSC, etc.).
1. Simple Explanation
| Term | What it means | How it appears in the paper |
|---|---|---|
| Statement (S) | A short paragraph that presents a set of facts, observations, or a situation. | Usually 4–6 lines. |
| Conclusion (C) | A statement that must follow logically from the Statement. | 1–4 options are given. |
| Right Conclusion | The one that is necessarily true given the Statement. | Must be true in all possible scenarios that satisfy the Statement. |
Rule of thumb
A correct conclusion can be deduced (must be true), but not inferred (may be true but not guaranteed).
2. Key Points & Quick Tips
| # | Tip | Why it helps |
|---|---|---|
| 1 | Read the Statement carefully. Identify the facts and the implied relationships. | Mis‑reading leads to wrong conclusions. |
| 2 | Identify the type of S&C. Common patterns: • Exclusive statements (only one can be true). • Conditional statements (If‑Then). • Comparative statements (more/less). |
Each pattern has a unique deduction strategy. |
| 3 | Check for logical necessity. Ask: Does the Statement force this conclusion? | Eliminates options that are merely plausible. |
| 4 | Look for contradictions. If a conclusion contradicts any fact in the Statement, discard it. | Quick elimination. |
| 5 | Use process of elimination. Often 2 or 3 options can be ruled out immediately. | Saves time. |
| 6 | Beware of “only one” statements. If the Statement says “only one of X, Y, Z is true”, then the conclusion must be about that unique fact. | Avoids mis‑interpretation. |
| 7 | Avoid over‑generalization. Just because something might happen, it’s not a conclusion. | Keeps focus on necessity. |
| 8 | Practice “parsing”. Break the Statement into logical clauses (if, then, because, etc.). | Makes deduction systematic. |
| 9 | Mark your answer. Don’t write multiple answers unless the question says “select all that apply”. | Avoids confusion. |
| 10 | Time management. Spend ~30 s per question in the initial pass; revisit if needed. | Keeps you on schedule. |
3. Worked Example
Statement (S)
In a class of 30 students, 12 students are left‑handed, 6 students study mathematics, and 3 students study both mathematics and are left‑handed.
Conclusion (C)
Choose the correct conclusion.
- Exactly 9 students study mathematics but are not left‑handed.
- At least 6 students study mathematics but are not left‑handed.
- At least 15 students are right‑handed.
- At least 9 students study mathematics.
Step‑by‑Step Solution
| Step | Analysis | Result |
|---|---|---|
| 1 | Identify facts: • Total students = 30 • Left‑handed (LH) = 12 • Math students (M) = 6 • Both LH & M = 3 |
|
| 2 | Students who study M but are not LH = M – both = 6 – 3 = 3 | |
| 3 | Students who are not LH = Total – LH = 30 – 12 = 18 | |
| 4 | Check each option: • Option 1: “Exactly 9 students study mathematics but are not left‑handed.” |
|
| We found 3, not 9 → False. | ||
| 5 | Option 2: “At least 6 students study mathematics but are not left‑handed.” | |
| We have 3 → False. | ||
| 6 | Option 3: “At least 15 students are right‑handed.” | |
| Right‑handed = 18 → True (≥15). | ||
| 7 | Option 4: “At least 9 students study mathematics.” | |
| Only 6 study mathematics → False. | ||
| 7 | Only Option 3 is necessarily true. | Correct answer: 3 |
Why Only Option 3 Works
- It relies on the necessary fact that 18 students are right‑handed (a requirement that holds in every scenario satisfying the Statement).
- All other options require specific counts that are not forced by the Statement.
4. Revision Summary (Quick Flashcards)
| Flashcard | Question | Answer |
|---|---|---|
| FC1 | What is the Statement in S&C? | A paragraph presenting facts or observations. |
| FC2 | What distinguishes a Conclusion from a Conclusion‑like statement? | A conclusion must be necessarily true; conclusion‑like can be true but not guaranteed. |
| FC3 | How do you identify an “exclusive” statement? | Look for words like only one, exactly one, none of the above. |
| FC4 | What is the main strategy for solving S&C? | Read, parse, find necessary facts, eliminate contradictions, pick the only true conclusion. |
| FC5 | Why should you avoid over‑generalization? | It leads to selecting conclusions that are possible but not forced |