Why this topic matters · 7 min read
Data Sufficiency (DS) is a high-value topic in SBI PO Reasoning, appearing as a standalone set of 3-5 questions or embedded in puzzles. The question gives you a main problem and two statements (sometimes three). You must decide whether the statements alone or together are enough to answer the question — you never actually solve it. SBI PO DS tends to use inequality-based comparisons, blood relations, directions, and coded language. Speed and decisiveness are rewarded here. Expect 3-5 marks in Prelims and heavier use in Mains.
Core Concept: What Data Sufficiency Actually Asks
DS does not ask you to find the answer to the question. It asks: is there enough information to find a unique answer? Think of yourself as a judge, not a solver. You look at each statement and decide if it alone gives one definite answer. If yes, it is sufficient. If no, it is not. Then you check both together.
A statement is sufficient only when it gives exactly ONE possible answer, not two or more. Even if the answer is 'No' or 'Cannot happen', that counts as sufficient — a definite answer is still an answer.
- Never solve the full problem. Only check if a unique answer is possible.
- A definite NO is still sufficient. Sufficiency means uniqueness, not a positive result.
- Test each statement independently first before combining them.
- If a statement has two or more possible answers, it is NOT sufficient.
- In SBI PO, statements are often tricky near-sufficients — one extra condition makes all the difference.
Standard Answer Choices (The Fixed 5-Option Grid)
Every DS question in bank exams uses the same five answer options. Memorise this grid before the exam — you will save 20-30 seconds per question just by knowing it cold. The letters A through E map to the same logic every time.
Option A: Statement 1 alone is sufficient, Statement 2 alone is not. Option B: Statement 2 alone is sufficient, Statement 1 alone is not. Option C: Neither statement alone is sufficient, but both together are sufficient. Option D: Either statement alone is sufficient (both work independently). Option E: Even both statements together are not sufficient.
- Option D means both statements independently give the answer — a rare but easy pick.
- Option E means even combining fails — pick this when ambiguity remains after merging both.
- Always check Statement 1 and Statement 2 separately before combining — skipping this step causes errors.
- If Statement 1 is sufficient, your answer is either A or D. Then check Statement 2 to decide which.
- If Statement 1 is not sufficient, your answer is B, C, or E. Saves time by narrowing options fast.
DS in Blood Relations and Directions
SBI PO frequently tests DS with blood relation problems. The trick is that many relations are gender-ambiguous. For example, 'P is the sibling of Q' does not tell you if P is brother or sister. If the question asks 'How is P related to Q?', this statement may not be sufficient because gender is unknown.
For direction-based DS, statements often give partial paths. A path from Point A to B might not tell you the final direction relative to the starting point unless all turns are known. Check if the direction can be uniquely determined from available data.
- Gender ambiguity in relations is the most common trap — 'sibling' or 'cousin' does not fix gender.
- For directions, check if all intermediate turns are given or if the final bearing can still vary.
- Combining two statements in blood relations often fixes gender — that is when C is the correct answer.
- Watch for statements that add the same information in different words — combining them adds nothing new.
- Draw a quick rough diagram for direction DS — saves time and prevents mistakes.
DS in Inequalities and Comparisons
In ranking and comparison DS, you are given partial order information. Example: 'Is A taller than E?' Statement 1 says A is taller than B and C. Statement 2 says B is taller than E. Together: A > B > E, so yes, A is taller than E. Each statement alone is not sufficient.
The key rule: a comparison chain must be unbroken from one end to the other for sufficiency. Any missing link in the chain breaks sufficiency. This is also tested with coded inequalities in SBI PO Mains.
- Build a chain and check if all links connect from the subject to the comparator.
- A broken chain or a fork in the middle makes the statement insufficient.
- Coded inequalities like P @ Q meaning P > Q need decoding before applying the chain rule.
- Watch for circular arrangements in ranking DS — these behave differently from linear rankings.
- If one statement gives a range and another fixes an exact value, together they often suffice.
DS in Number and Arithmetic Problems
Arithmetic DS asks things like 'What is the value of X?' or 'Is X a prime number?'. A single equation with two unknowns is generally not sufficient. Two independent equations with two unknowns are usually sufficient together. Be careful — if two equations give the same line (dependent equations), they are still not sufficient.
SBI PO also tests DS with divisibility, age problems, and work-rate problems. In age problems, if two ages share a fixed ratio and a fixed difference, both can be found. Either condition alone is usually not enough.
- One equation, two unknowns — almost always insufficient alone.
- Two independent equations, two unknowns — sufficient together (Option C usually).
- Dependent equations (multiples of each other) do not give a unique solution — stay insufficient.
- For yes/no arithmetic questions, check if the statement always gives the same yes or always the same no.
- Ratio alone or difference alone is usually insufficient for finding exact ages — both are needed.
Key formulas
Unique Solution Check
n independent equations needed for n unknowns
When: Use when evaluating if algebraic DS statements are sufficient
Worked examples
Q: What is the age of Ravi? S1: Ravi is 5 years older than Meena. S2: Meena is 20 years old. S1 alone: two unknowns, one equation — not sufficient. S2 alone: gives Meena's age but not Ravi's — not sufficient. Together: Meena = 20, so Ravi = 25 — sufficient. Answer: C.
Q: Is integer N divisible by 6? S1: N is divisible by 2. S2: N is divisible by 3. S1 alone: not sufficient (4 is divisible by 2 but not 6). S2 alone: not sufficient (9 is divisible by 3 but not 6). Together: N divisible by both 2 and 3 means divisible by 6 — sufficient. Answer: C.
⚠ Common mistakes to avoid
- Actually solving the problem instead of just checking sufficiency — this wastes 60-90 seconds per question.
- Treating a definite NO answer as insufficient — remember, a unique NO is perfectly sufficient.
- Combining statements first without testing each one independently — this leads to wrong option selection between A, B, C, D.
- Missing gender ambiguity in blood relation statements — assuming 'sibling' means brother when it could be sister.
- Assuming two equations are always independent — if one is a multiple of the other, they give infinite solutions and are still insufficient together.
🧠 Memory aids
- The JUDGE rule: You are a JUDGE checking evidence, not a DETECTIVE solving the crime. Enough evidence = sufficient. Case open = not sufficient.
- For the 5 options, remember: 1 Only, 2 Only, Both, Either, Neither — spell it as 1-2-B-E-N. If 1 works alone = A or D. If 2 works alone = B or D. If neither alone works, go B-C-E path.
- Sufficiency = UNIQUE answer. Remember the word UNIQUE — one and only one possible answer, whether yes, no, or a number.
- Broken Chain = Not Sufficient. For ranking or direction DS, imagine a paper chain. If any link is missing between A and Z, you cannot compare them — answer is not sufficient alone.
🎯 SBI PO exam tips
- SBI PO Prelims typically has 3-4 DS questions in the Reasoning section. They are moderate difficulty and can be solved in 90 seconds each if you follow the judge approach strictly.
- SBI PO Mains DS questions often involve coded inequalities or multi-step puzzles embedded as DS. Practice identifying sufficiency in coded relations quickly.
- A common SBI PO pattern is two statements that each give partial ranking information — neither alone works but together they close the chain. Option C dominates these question sets.
- In recent SBI PO papers, DS with three statements has appeared — the same logic applies, but answer choices shift to combinations like only S1 and S2, only S2 and S3, etc. Read option labels carefully.
- Do not spend more than 100 seconds on any DS question. If genuinely unsure after checking both statements, mark C or E based on whether you feel the combination adds something new, and move on.
Q1 · hard · AI-verified
What is the speed of the train?
Statement I: The train crosses a 200m platform in 20 seconds.
Statement II: The train crosses a stationary man in 12 seconds.
- Statement I alone is sufficient
- Statement II alone is sufficient
- Both statements together are sufficient
- Neither statement alone nor together is sufficient
Q2 · hard · AI-verified
What is the area of the circle?
Statement I: The circumference of the circle is 44 cm.
Statement II: The radius of the circle is 7 cm.
- Statement I alone is sufficient
- Statement II alone is sufficient
- Both statements together are sufficient
- Either statement alone is sufficient
Q3 · hard · AI-verified
What is the compound interest earned on a principal amount in 2 years?
Statement I: The principal amount is Rs. 10,000.
Statement II: The rate of interest is 10% per annum compounded annually.
Statement III: The simple interest on the same principal at the same rate for 2 years is Rs. 2,000.
- Only I and II are sufficient
- Only I and III are sufficient
- Only II and III are sufficient
- Any two of the three statements are sufficient
Q4 · hard · AI-verified
What is the profit percentage on selling an article?
Statement I: The cost price of the article is Rs. 800.
Statement II: The selling price is Rs. 200 more than the cost price.
- Statement I alone is sufficient but Statement II alone is not sufficient
- Both statements together are not sufficient
- Both statements together are sufficient but neither alone is sufficient
- Statement II alone is sufficient but Statement I alone is not sufficient
Q5 · hard · AI-verified
What is the two-digit number?
Statement I: The sum of digits is 12 and the difference of digits is 4.
Statement II: The number is divisible by 8 and greater than 50.
- Statement I alone is sufficient
- Statement II alone is sufficient
- Both statements together are sufficient
- Neither statement alone nor together is sufficient