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Data Sufficiency — Reasoning

AFCAT · Logical Reasoning

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Core Concept

Read this first — the foundation of the topic

Data Sufficiency is a unique question type where you don't solve the problem completely. Instead, you determine whether the given information is enough to answer the question. Think of it as being a detective - you need to check if the clues are sufficient to solve the case. In SSC CGL, data sufficiency questions typically provide a question followed by two statements (I and II).

Your job is to decide which combination of statements can answer the question. The standard answer choices are: A) Statement I alone is sufficient B) Statement II alone is sufficient C) Both statements together are sufficient D) Neither statement is sufficient E) Each statement alone is sufficient Key Rules: Never assume information not given. Don't make calculations unless necessary - just check if calculation is possible.

Focus on 'Can I solve?' not 'What is the answer?'. Remember that 'sufficient' means you can find a unique answer, not multiple possibilities.

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Exam Patterns

What examiners ask — read before attempting PYQs

SSC CGL asks 2-3 data sufficiency questions per paper. Common topics include ages, profit-loss, time-work, geometry, and number problems. Questions often test logical thinking more than mathematical computation. Powerful Shortcut: Use the SCAN method - S(can I solve with Statement I alone?), C(an I solve with Statement II alone?), A(re both needed together?), N(ot sufficient even together?). This systematic approach prevents confusion and saves time.

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Worked Example

Solve this step-by-step before moving on

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Step 1

Check Statement I alone Statement I gives us: Ram = Shyam + 5 This has two unknowns but only one equation. We cannot find Ram's exact age. Statement I alone: NOT SUFFICIENT

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Step 2

Check Statement II alone Statement II gives us: Ram + 10 = 2 × (Shyam's current age) Again, two unknowns, one equation. Cannot find exact ages. Statement II alone: NOT SUFFICIENT

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Step 3

Check both statements together From I: Ram = Shyam + 5, so Shyam = Ram - 5 From II: Ram + 10 = 2 × Shyam Substituting: Ram + 10 = 2(Ram - 5) Ram + 10 = 2Ram - 10 20 = Ram Both statements together give us Ram's age as 20 years. Answer: C) Both statements together are sufficient Common Mistake: Students often try to solve the complete problem instead of just checking sufficiency. This wastes time and can lead to wrong conclusions. Another trap is assuming obvious information that isn't stated - stick strictly to what's given. Remember: In data sufficiency, your goal is to be a judge, not a calculator. Judge whether the evidence is enough to reach a verdict.

🔑 Key Points

Data sufficiency tests whether given information is enough to answer the question, not the actual answer
Standard format includes a question followed by two statements I and II
Five answer choices cover all combinations of statement sufficiency
Never assume information that is not explicitly provided in the statements
Focus on 'Can I solve?' rather than 'What is the solution?'
Use SCAN method: check Statement I alone, Statement II alone, both together, neither sufficient
Sufficient means you can find one unique answer, not multiple possibilities
Most common topics are ages, profit-loss, time-work, and basic geometry problems

📌 Exam Facts

SSC CGL includes 2-3 data sufficiency questions per reasoning section
Standard answer choices are always A, B, C, D, E representing different statement combinations
Data sufficiency questions carry same marks as other logical reasoning questions
Age-related problems appear in 40% of data sufficiency questions in SSC exams
Time allocation should be maximum 2 minutes per data sufficiency question
Geometry-based data sufficiency questions often involve finding area or perimeter
Number theory problems frequently test concepts of even, odd, and prime numbers

🚀 60-Second Revision

Remember: Judge sufficiency, don't calculate the actual answer unless necessary
Formula: Use SCAN method to systematically check each statement combination
Trap: Never assume information not explicitly stated in the problem
Strategy: If one statement alone works, don't waste time checking combinations
Focus: Look for unique answer possibility, not multiple solutions
Time tip: Spend maximum 2 minutes per question using elimination method

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