⭐ Sabse Important Points · एक नज़र में
- Standard Options: Typically (A) Statement I alone sufficient, (B) Statement II alone sufficient, (C) Either I or II alone sufficient, (D) Both together sufficient but neither alone, (E) Both together not sufficient. Verify exact option wording in the exam.
- Unique Value Test: A statement is sufficient if it leads to exactly one possible value or one unique arrangement; if two or more possibilities remain, it is insufficient.
- Independent Check Rule: First test Statement I alone, then Statement II alone, without using the other statement. Only if neither alone works, combine them.
- Contradiction Check: If a statement contradicts the question or the other statement, treat it carefully; in standard exams, statements are consistent unless stated otherwise.
- Sufficiency vs. Solution: You do not need the exact numerical answer; you only need to know whether a unique answer can be determined.
- Combined Sufficiency: Two statements together may be sufficient even if each alone gives multiple possibilities, provided the overlap yields a unique answer.
Introduction · परिचय
Data Sufficiency is a reasoning topic where you are given a question followed by two or more statements. You must decide whether the information in the statements is sufficient to answer the question, without actually solving it fully. In IBPS PO, it tests logical assessment of adequacy of data rather than computation.
Understanding Data Sufficiency Options and Approach
In data sufficiency, each question has a set of standard options. You must check each statement independently and then together, and choose the option that correctly describes sufficiency. The key is to stop as soon as sufficiency is determined and avoid unnecessary calculation.
- Read question and statements
- Check Statement I alone
- Check Statement II alone
- If neither alone works, combine
- Select matching option
📐 Formula / Rule Box · सूत्र याद रखो
Independent Check Rule
First test Statement I alone, then Statement II alone, without using the other statement. Only if neither alone works, combine them.
⭐ Key Points · याद रखने वाली बातें
- Standard Options: Typically (A) Statement I alone sufficient, (B) Statement II alone sufficient, (C) Either I or II alone sufficient, (D) Both together sufficient but neither alone, (E) Both together not sufficient. Verify exact option wording in the exam.
- Sufficiency vs. Solution: You do not need the exact numerical answer; you only need to know whether a unique answer can be determined.
- Avoid Overcalculation: Stop solving once you can conclude sufficiency; extra calculation wastes time and increases error.
✍️ Solved Example 1 · हल किया हुआ उदाहरण
❓ Question: Question: What is the value of x? Statement I: x + y = 10. Statement II: x - y = 4.
✅ Solution: Option (D): Both statements together are sufficient, but neither alone is sufficient.
💡 Explanation: Statement I alone gives many (x, y) pairs, so x is not unique. Statement II alone also gives many pairs. Together, adding gives 2x = 14, so x = 7 uniquely. Hence both together are required.
Types of Questions and Elimination Techniques
Data sufficiency questions in IBPS PO commonly involve arithmetic (ages, ratios, averages), blood relations, direction sense, and puzzles. The elimination technique helps: if a statement gives multiple possible values, it is insufficient; if it gives a unique value or a unique relation, it is sufficient.
| Sufficient Statement | Insufficient Statement |
|---|---|
| Gives a unique value or definite yes/no | Leaves two or more possibilities |
| Can answer the question alone | Needs the other statement or fails |
| Leads to one equation with one unknown | Leads to identity or multiple solutions |
⭐ Key Points · याद रखने वाली बातें
- Unique Value Test: A statement is sufficient if it leads to exactly one possible value or one unique arrangement; if two or more possibilities remain, it is insufficient.
- Contradiction Check: If a statement contradicts the question or the other statement, treat it carefully; in standard exams, statements are consistent unless stated otherwise.
- Combined Sufficiency: Two statements together may be sufficient even if each alone gives multiple possibilities, provided the overlap yields a unique answer.
- Question Type Awareness: For 'what is the value' questions, a unique number is needed; for 'is X greater than Y' questions, a definite yes/no is needed.
✍️ Solved Example 1 · हल किया हुआ उदाहरण
❓ Question: Question: Is P older than Q? Statement I: P is older than R. Statement II: R is older than Q.
✅ Solution: Option (D): Both statements together are sufficient, but neither alone is sufficient.
💡 Explanation: Statement I alone does not compare P and Q. Statement II alone does not compare P and Q. Together, P > R > Q, so P is older than Q; a definite yes is obtained.
Practice Questions · खुद हल करके देखो
पहले खुद try karo, phir “Answer dekho” dabakar check karo. 👇
Q1Question: What is the two-digit number? Statement I: The sum of the digits is 9. Statement II: The difference between the digits is 3.
👀 Answer dekho
✅ Answer: Option (E): Both statements together are not sufficient.
💡 Explanation: Let digits be a and b. From I: a + b = 9. From II: a - b = 3 or b - a = 3. Solving gives (6,3) or (3,6), i.e., 63 or 36. Two possibilities remain, so even together they are not sufficient.
Q2Question: How many students are in the class? Statement I: The average age of the class is 15 years. Statement II: The total age of the class is 450 years.
👀 Answer dekho
✅ Answer: Option (D): Both statements together are sufficient, but neither alone is sufficient.
💡 Explanation: Statement I alone gives no count. Statement II alone gives no count. Together, number = total age / average age = 450 / 15 = 30, a unique value. Hence both together are sufficient.
Q3Question: In which direction is A from B? Statement I: A is to the north of C. Statement II: C is to the east of B.
👀 Answer dekho
✅ Answer: Option (D): Both statements together are sufficient, but neither alone is sufficient.
💡 Explanation: Statement I alone does not relate A to B. Statement II alone does not relate A to B. Together, A is north of C and C is east of B, so A is north-east of B; a unique direction is obtained.
⚠️ Common Mistakes · ये गलतियाँ बिल्कुल मत करना
- Solving the full problem instead of only checking sufficiency: stop as soon as uniqueness is established.
- Using both statements together before checking each alone: always test I alone and II alone first.
- Assuming a statement is sufficient because it gives an equation: one equation with two unknowns is usually insufficient.
- Ignoring the exact option wording: option letters and meanings can vary slightly; read the instructions for that question set.
⚡ Quick Revision · Exam से पहले 2 मिनट में दोहराओ
- Five Verdicts: I alone, II alone, either alone, both together, neither/both not sufficient — memorise the standard order.
- Uniqueness Rule: A statement is sufficient only if it yields exactly one value or a definite yes/no.
- Stop Early: Once sufficiency is clear, mark the option and move on; do not compute the final answer.
- Combine Only When Needed: Use both statements only after each alone fails to give a unique answer.
- Question Type: 'What is the value' needs a unique number; 'Is X greater' needs a definite yes/no.