IBPS Clerk Data Sufficiency — Maths — Study Material, 13 PYQs & Practice MCQs | ZestExam
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IBPS Clerk Data Sufficiency — Maths
Study Material — 13 PYQs (2024–2024) · Concept Notes · Shortcuts
IBPS Clerk Data Sufficiency — Maths is a frequently tested subtopic — 13 previous year questions from 2024–2024 papers are included below with concept notes, key rules and shortcut tricks.
IBPS Clerk Data Sufficiency — Maths — Past Exam Questions
13 questions from actual IBPS Clerk papers · all shown free · click option to reveal solution
Exam Q 12024Previous Year Pattern
What is the simple interest earned on a principal amount?
Statement I: The principal is Rs. 5,000 and the rate of interest is 8% per annum.
Statement II: The time period is 3 years.
Test Data Sufficiency — Maths under exam conditions
What is the average age of three persons A, B, and C?
Statement I: A is 24 years old and B is 30 years old.
Statement II: The sum of ages of A, B, and C is 84 years.
Exam Q 32024Previous Year Pattern
What is the area of a rectangle?
Statement I: The length of the rectangle is 12 cm.
Statement II: The perimeter of the rectangle is 40 cm.
Exam Q 42024Previous Year Pattern
What is the cost price of a shirt?
Statement I: The shirt is sold at a profit of 25%, and the selling price is ₹500.
Statement II: The cost price of the shirt is ₹100 less than the selling price.
Exam Q 52024Previous Year Pattern
Is the number x divisible by 6?
Statement I: x is divisible by 2.
Statement II: x is divisible by 3.
Exam Q 62024Previous Year Pattern
What is the cost price of an article if the selling price is Rs. 1,200?
Statement I: The profit percentage is 20%.
Statement II: The profit amount is Rs. 200.
Exam Q 72024Previous Year Pattern
A shopkeeper sells three types of items: pens, notebooks, and erasers. The cost price of a pen is Rs. 5, a notebook is Rs. 20, and an eraser is Rs. 2. The shopkeeper sells all items at a markup. In a particular day, the shopkeeper sold a total of 100 items and earned a total profit of Rs. 300.
Statement I: The selling price of a pen is Rs. 8, a notebook is Rs. 28, and an eraser is Rs. 3.
Statement II: The shopkeeper sold 40 pens, 30 notebooks, and 30 erasers.
Which of the following is sufficient to answer: What is the total revenue (selling price × quantity) for the day?
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
Exam Q 82024Previous Year Pattern
A train travels from City P to City Q. The distance between P and Q is unknown. The train travels at a constant speed for the entire journey.
Statement I: The train takes 6 hours to cover 360 km.
Statement II: The train covers 60 km in 1 hour.
What is the speed of the train?
Exam Q 92024Previous Year Pattern
A rectangular garden has an unknown length and width. The area of the garden is unknown.
Statement I: The perimeter of the garden is 60 meters.
Statement II: The length of the garden is 18 meters.
What is the area of the rectangular garden?
Exam Q 102024Previous Year Pattern
A shopkeeper has apples and oranges. The number of apples is unknown, and the number of oranges is unknown. The total number of fruits is unknown.
Statement I: The ratio of apples to oranges is 3:2.
Statement II: There are 15 more apples than oranges.
How many apples does the shopkeeper have?
Exam Q 112024Previous Year Pattern
A person invests money in two schemes: Scheme A and Scheme B. Scheme A offers simple interest at a rate of r% per annum, and Scheme B offers compound interest at a rate of (r-2)% per annum, compounded annually.
Statement I: The person invests Rs. 10,000 in Scheme A and Rs. 15,000 in Scheme B. After 2 years, the total amount in both schemes is Rs. 27,500.
Statement II: The difference between the interest earned from Scheme A and Scheme B after 2 years is Rs. 200.
What is the rate of interest r?
Exam Q 122024Previous Year Pattern
A company manufactures two products: Product X and Product Y. The profit margin on Product X is 30%, and on Product Y is 20%. In a given month, the company sold some units of each product.
Statement I: The total revenue from both products is Rs. 50,000, and the total cost price is Rs. 40,000.
Statement II: The number of units of Product X sold is twice the number of units of Product Y sold.
What is the cost price of one unit of Product X?
Exam Q 132024Previous Year Pattern
A train travels from Station X to Station Y. The distance between the two stations is unknown. The train's speed for the first half of the journey (by distance) is 60 km/h, and for the second half, it is 80 km/h.
Statement I: The total time taken for the journey is 7 hours.
Statement II: The average speed for the entire journey is approximately 68.57 km/h.
What is the total distance between Station X and Station Y?
Concept Notes
Data Sufficiency — Maths— Rules & Concept
💡
Core Concept
Read 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 Patterns
What 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.
⚡
Shortcuts
Use 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 Example
Solve 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.
Common Mistake: 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
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