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Agniveer Army CEE Data Sufficiency — Maths

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This page covers Agniveer Army CEE Data Sufficiency — Maths with complete concept notes, 6 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Data Sufficiency — Maths— Rules & Concept

Core ConceptRead this first — the foundation of the topic
Core Concept

Data Sufficiency questions give you a problem followed by two statements (I and II). Your job is to determine which statement(s) provide enough information to solve the problem

You have 5 standard answer choices

(A) Statement I alone is sufficient, (B) Statement II alone is sufficient, (C) Both statements together are sufficient, (D) Each statement alone is sufficient, (E) Both statements together are insufficient

Key Rules

First, read the question carefully and identify what you need to find. Then examine each statement separately. Check if Statement I alone gives enough data. Next, check if Statement II alone gives enough data.

If neither works alone, see if combining both statements helps. Remember, you're not calculating the final answer - just checking if calculation is possible.

Exam PatternsWhat examiners ask — read before attempting PYQs

SSC CGL regularly tests data sufficiency with topics like ages, profit-loss, time-work, geometry, and averages. Common question types include finding unknown values, comparing quantities, or determining relationships between variables. Most questions follow the standard 5-option format.

ShortcutsUse these to save 30–60 seconds per question

Use the 'Elimination Method'. Start by checking if each statement individually has enough unique information. If Statement I gives multiple possible answers, it's insufficient.

If Statement II also gives multiple answers, check if combining both narrows it to one answer. This saves time over detailed calculations.

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

Identify what we need - Rahul's exact age.

2
Step 2

Check Statement I alone. 'Rahul is 5 years older than Priya' gives us R = P + 5, but we don't know P's value. This creates infinite possibilities. Statement I alone is insufficient.

3
Step 3

Check Statement II alone. 'Sum of ages is 35' gives us R + P = 35, but we don't know individual ages. Statement II alone is insufficient.

4
Step 4

Check both together. From I: R = P + 5. From II: R + P = 35. Substituting: (P + 5) + P = 35, so 2P = 30, P = 15, R = 20. Both statements together give unique answer. Answer: (C) Both statements together are sufficient.

Exam TrapsCommon mistakes students make — avoid these

Students often start calculating the complete answer instead of just checking sufficiency. Another trap is assuming additional information not given in statements. Stick only to provided data.

Key Points to Remember

  • Data sufficiency checks if given information can solve the problem, not the actual solution
  • Standard format has 5 answer choices about statement sufficiency combinations
  • Always test each statement individually before combining them
  • Insufficient means multiple answers are possible from given data
  • Sufficient means exactly one unique answer can be determined
  • Don't assume any information not explicitly stated in the statements
  • If both statements give same conclusion separately, answer is 'Each statement alone sufficient'
  • Focus on whether calculation is possible, not on doing the complete calculation

Exam-Specific Tips

  • SSC CGL typically includes 2-3 data sufficiency questions per paper
  • Standard answer format: (A) I alone, (B) II alone, (C) Both together, (D) Each alone, (E) Both insufficient
  • Most common topics tested are ages, profit-loss, time-work, and simple equations
  • Questions usually provide exactly 2 statements labeled as Statement I and Statement II
  • Data sufficiency questions carry same marks as regular quantitative aptitude questions
  • Time allocation should be 1-2 minutes per data sufficiency question
  • Geometry data sufficiency often involves finding area, perimeter, or angle measurements
Practice MCQs

Data Sufficiency — Maths — Practice Questions

6graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

What is the value of x? Statement I: 3x + 5 = 20. Statement II: x is a positive integer less than 10.

Practice 2easy

Is the area of a rectangle greater than 50 square cm? Statement I: The length of the rectangle is 10 cm. Statement II: The perimeter of the rectangle is 30 cm.

Practice 3medium

A shopkeeper bought some items at a cost price. What is the profit percentage? Statement I: The selling price is 25% more than the cost price. Statement II: The cost price is ₹400 and the selling price is ₹500. Which statement(s) is/are sufficient to answer the question?

Practice 4medium

Two numbers have a sum of 50. What is the larger number? Statement I: The difference between the two numbers is 10. Statement II: One number is 3 times the other. Which statement(s) is/are sufficient to answer the question?

Practice 5medium

A rectangular plot has a perimeter of 60 metres. Is the length of the plot greater than 20 metres? Statement I: The width of the plot is 10 metres. Statement II: The area of the plot is 200 square metres. Which statement(s) is/are sufficient to answer the question?

Practice 6hard

A shopkeeper sells two types of items: pens and notebooks. Is the total revenue from selling pens greater than the total revenue from selling notebooks? Statement I: The selling price of a pen is ₹5 and the selling price of a notebook is ₹15. Statement II: The shopkeeper sold 120 pens and 40 notebooks.

60-Second Revision — Data Sufficiency — Maths

  • Remember: Check each statement individually first, then combine if needed
  • Trap: Don't calculate final answers, only check if calculation is possible
  • Formula: Sufficient = exactly one unique answer possible
  • Strategy: Use elimination method to save time on complex calculations
  • Warning: Never assume information not explicitly given in statements
  • Pattern: Most SSC questions test basic arithmetic and algebra concepts
←Data Sufficiency — Reasoning
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