Data Sufficiency

Master Data Sufficiency. Test your conceptual clarity. Don't solve providing the answer, check if the data is sufficient to find a UNIQUE answer.

Model 1: The Golden Rules

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        <li><strong>Rule 1 (Unique Value):</strong> Data is sufficient ONLY if it gives a single, unique value. "x > 0" is INSUFFICIENT. "x = 5" is SUFFICIENT. "x = 5 or -5" is INSUFFICIENT.</li>
        <li><strong>Rule 2 (Don't Calculate):</strong> You don't need the final answer (e.g., 45 km/h). You just need to know if it CAN be found.</li>
        <li><strong>Rule 3 (Isolation):</strong> First check Statement I alone. Then check Statement II alone. ONLY combine if both fail individually.</li>
      </ul>
    

Example:

Q: Is x positive? I. x┬▓ = 25. II. x┬│ = -125.
Solution: I -> x=┬▒5 (Not sufficient). II -> x=-5 (Sufficient to say NO, it's not positive). Answer: Only II.

Model 2: Arithmetic Traps

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        <li><strong>Variable Cancellation:</strong> Sometimes variables cancel out, giving an answer even with missing data. (e.g., finding Ratio when values are missing).</li>
        <li><strong>Circular Reasoning:</strong> If Statement II is just a derived form of Statement I, combining them gives NO new info.</li>
      </ul>
    

Example:

Q: Find Speed. I. Dist=100. II. Time=2hrs.
Solution: Together necessary. Answer: Both.

Model 3: Three Statement Standard

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        <li><strong>Approach:</strong> Check single statements first. Then pairs (I+II, II+III, I+III). Finally all three.</li>
        <li><strong>Options Strategy:</strong> Eliminate options as you check. If I alone works, eliminate "Both I and II".</li>
      </ul>