Study Material — 1 PYQs (2022–2022) · Concept Notes · Shortcuts
RRB Group D Data Sufficiency — Maths is a frequently tested subtopic — 1 previous year questions from 2022–2022 papers are included below with concept notes, key rules and shortcut tricks.
RRB Group D Data Sufficiency — Maths — Past Exam Questions
1 questions from actual RRB Group D papers · all shown free · click option to reveal solution
Exam Q 12022Previous Year Pattern
Question: What is the two-digit number?
Statement I: The number is divisible by 9 and its tens digit is 3.
Statement II: The sum of the digits of the number is 9.
Choose the correct option:
a) Statement I alone is sufficient
b) Statement II alone is sufficient
c) Both statements together are sufficient
d) Neither statement alone nor together is sufficient
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
3graded MCQs · easy to hard · full solution & trap analysis
Is the sum of two numbers greater than 50?
Statement I: The first number is 28.
Statement II: The second number is 25.
(A) Statement I alone is sufficient.
(B) Statement II alone is sufficient.
(C) Both statements together are sufficient.
(D) Neither statement alone nor both together are sufficient.
Practice 2medium
A shopkeeper sells two types of items: pens and notebooks. The cost price of a pen is ₹2 and the cost price of a notebook is ₹5. The shopkeeper sells all items at a markup. Statement I: The shopkeeper sold 40 pens and 20 notebooks, earning a total profit of ₹90. Statement II: The markup on pens is 50% and the markup on notebooks is 40%. Is the data sufficient to find the total selling price of all items sold?
Practice 3hard
A shopkeeper sells three types of items: pens, notebooks, and erasers. The cost price of a pen is ₹2, a notebook is ₹5, and an eraser is ₹1. On a particular day, the shopkeeper sold a total of 100 items and earned a profit of ₹40. The number of notebooks sold was twice the number of erasers sold.
Statement I: The selling price of a pen is ₹3, a notebook is ₹7, and an eraser is ₹1.50.
Statement II: The number of pens sold was 20 more than the number of erasers sold.
Is the data sufficient to find the exact number of each type of item sold?
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