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SBI PO Data Sufficiency — Reasoning

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This page covers SBI PO Data Sufficiency — Reasoning with complete concept notes, 14 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Data Sufficiency — Reasoning— Rules & Concept

Core ConceptRead 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.

Exam PatternsWhat 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.

Worked ExampleSolve this step-by-step before moving on
1
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

2
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

3
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

Exam TrapsCommon mistakes students make — avoid these

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 to Remember

  • 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-Specific Tips

  • 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
Practice MCQs

Data Sufficiency — Reasoning — Practice Questions

14graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

Statements: I. Some athletes are vegetarians. II. All vegetarians are health-conscious. Question: Are all athletes health-conscious? A) Yes, all athletes are health-conscious B) No, not all athletes are health-conscious C) Cannot be determined D) Yes, probably most athletes are health-conscious

Practice 2easy

Statements: I. No politician is honest. II. All honest people are trustworthy. Question: Are all politicians untrustworthy? A) Yes, definitely B) No, definitely not C) Cannot be concluded from the given statements D) Yes, probably

Practice 3easy

In a Data Sufficiency question, we need to determine: 'How many students in Class X scored above 75 marks?' Statement I: 40% of the 50 students in Class X scored above 75 marks. Statement II: The total marks scored by all students is 3750, and the average is 75 marks. Which statement(s) is/are sufficient to answer the question?

Practice 4easy

Statements: I. Some flowers are red. II. All red things are beautiful. III. Some beautiful things are not flowers. Question: Which of the following must be true? A) All flowers are beautiful B) Some flowers are beautiful C) No flowers are beautiful D) All beautiful things are flowers

Practice 5easy

Statements: I. All teachers are educated. II. Some educated people are not doctors. Question: Can we conclude that some teachers are not doctors? A) Yes, the conclusion definitely follows B) No, the conclusion does not follow C) Yes, the conclusion probably follows D) Cannot be determined from the given statements

Practice 6easy

Statements: I. All engineers are problem-solvers. II. All problem-solvers are logical thinkers. Question: Can we conclude that all engineers are logical thinkers? A) No, we cannot conclude this B) Yes, we can definitely conclude this C) Yes, but only some engineers D) Cannot be determined from the statements

Practice 7medium

A company has employees in three departments: Sales, Marketing, and IT. Statement I: 40% of employees are in Sales, and 30% are in Marketing. Statement II: The number of IT employees is 60. Which statement(s) is/are sufficient to determine the total number of employees? (A) Only Statement I is sufficient (B) Only Statement II is sufficient (C) Both statements together are sufficient (D) Neither statement alone nor together is sufficient

Practice 8medium

In a group of 5 people, each person has a different profession among: Doctor, Engineer, Teacher, Lawyer, and Accountant. Consider the following statements: Statement I: The Doctor earns more than the Engineer. Statement II: The Lawyer earns more than the Teacher. Statement III: The Accountant earns less than the Engineer. Question: Can we determine whether the Doctor earns more than the Lawyer? A) Yes, the data in Statement I alone is sufficient. B) Yes, the data in Statements I and II together are sufficient. C) Yes, the data in all three statements together are sufficient. D) No, even with all three statements, we cannot determine this.

Practice 9medium

A store sells three types of items: Books, Pens, and Notebooks. Statement I: Books cost twice as much as Pens, and Notebooks cost 50% more than Pens. Statement II: The total cost of 2 Books, 3 Pens, and 1 Notebook is Rs. 500. Which statement(s) is/are sufficient to determine the individual price of each item? (A) Only Statement I is sufficient (B) Only Statement II is sufficient (C) Both statements together are sufficient (D) Neither statement alone nor together is sufficient

Practice 10medium

Five people—P, Q, R, S, T—are standing in a line. Statement I: Q is to the right of P, and S is to the right of Q. Statement II: T is at one end, and R is immediately to the left of S. What is the order of people from left to right? (A) Only Statement I is sufficient (B) Only Statement II is sufficient (C) Both statements together are sufficient (D) Neither statement alone nor together is sufficient

Practice 11hard

In a logic puzzle, Statement A: 'All members of Club X are vegetarians.' Statement B: 'Some vegetarians are members of Club X.' Statement C: 'No non-vegetarian can be a member of Club X.' Which statement(s) logically follow from the others?

Practice 12hard

A company has employees in three departments: Sales, Marketing, and Operations. Statement I: 'The number of Sales employees is twice the number of Marketing employees.' Statement II: 'The total number of employees is 180, and Operations has 20 more employees than Marketing.' Can we determine the exact number of Sales employees?

Practice 13hard

In a family of 6 people, there are three married couples. Each couple has exactly one child together. Statement I: The total number of parent-child relationships is 6. Statement II: If we know that person A is the father of person B, and person B is the father of person C, then A is the grandfather of C. Which statement(s) is/are sufficient to determine the exact family structure?

Practice 14hard

A person travels from City P to City Q. Statement I: The person travels 60 km north, then 80 km east, then 60 km south. Statement II: The straight-line distance from P to Q is 80 km. Are both statements consistent?

60-Second Revision — Data Sufficiency — Reasoning

  • 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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