SSC CPO Data Sufficiency — Maths — Study Material, 13 PYQs & Practice MCQs | ZestExam
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SSC CPO Data Sufficiency — Maths
Study Material — 13 PYQs (2022–2022) · Concept Notes · Shortcuts
SSC CPO Data Sufficiency — Maths is a frequently tested subtopic — 13 previous year questions from 2022–2022 papers are included below with concept notes, key rules and shortcut tricks.
SSC CPO Data Sufficiency — Maths — Past Exam Questions
13 questions from actual SSC CPO papers · all shown free · click option to reveal solution
Exam Q 12022Previous Year Pattern
What is the average of three numbers?
Statement I: The sum of the three numbers is 45.
Statement II: The three numbers are consecutive integers.
(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
Test Data Sufficiency — Maths under exam conditions
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.
(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 32022Previous Year Pattern
Is the number x divisible by 6?
Statement I: x is divisible by 2.
Statement II: x is divisible by 3.
(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 42022Previous Year Pattern
What is the value of y?
Statement I: y + 5 = 12
Statement II: 2y = 14
(A) Statement I alone is sufficient
(B) Statement II alone is sufficient
(C) Both statements together are sufficient
(D) Either statement alone is sufficient
Exam Q 52022Previous Year Pattern
What is the speed of a car?
Statement I: The car travels 120 km in 2 hours.
Statement II: The car travels at a constant speed.
(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 62022Previous Year Pattern
A rectangular garden has a perimeter of P meters. Statement I: The length of the garden is 5 meters more than its width. Statement II: The area of the garden is 84 square meters. What is the perimeter of the garden? (a) Statement I alone is sufficient. (b) Statement II alone is sufficient. (c) Both statements together are necessary. (d) Neither statement is sufficient.
Exam Q 72022Previous Year Pattern
A shopkeeper sells two types of items. The cost price of item A is Rs. 200 and item B is Rs. 300. He sells item A at a profit of x% and item B at a profit of y%. Statement I: The profit on item A is Rs. 40. Statement II: The profit on item B is Rs. 90. What is the selling price of item B? (a) Statement I alone is sufficient. (b) Statement II alone is sufficient. (c) Both statements together are necessary. (d) Neither statement is sufficient.
Exam Q 82022Previous Year Pattern
A train travels from Station P to Station Q. Statement I: The train travels at 60 km/h for the first half of the distance and 80 km/h for the second half. Statement II: The total distance between P and Q is 280 km. What is the average speed of the train? (a) Statement I alone is sufficient. (b) Statement II alone is sufficient. (c) Both statements together are necessary. (d) Neither statement is sufficient.
Exam Q 92022Previous Year Pattern
A student scored marks in three subjects: Mathematics, English, and Science. Statement I: The average score across all three subjects is 75 marks. Statement II: The score in Mathematics is 10 marks more than in English, and the score in Science is 5 marks less than in English. What is the score in Mathematics? (a) Statement I alone is sufficient. (b) Statement II alone is sufficient. (c) Both statements together are necessary. (d) Neither statement is sufficient.
Exam Q 102022Previous Year Pattern
A person invests money in two schemes. Statement I: In Scheme A, ₹5000 is invested at 8% per annum simple interest for 2 years. In Scheme B, ₹3000 is invested at 10% per annum simple interest for 2 years. Statement II: The total interest earned from both schemes is ₹1400. Is the total interest from Scheme A greater than the total interest from Scheme B?
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Both statements together are not sufficient
Exam Q 112022Previous Year Pattern
Two trains start from stations A and B respectively and travel towards each other. Statement I: Train X travels at 60 km/h from station A, and Train Y travels at 40 km/h from station B. They meet after 3 hours. Statement II: The distance between stations A and B is 300 km. Do the trains meet at a point 180 km from station A?
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Both statements together are not sufficient
Exam Q 122022Previous Year Pattern
A rectangular tank is being filled with water. Statement I: The tank has length 8 m, width 6 m, and height 5 m. Water is filled at a rate of 12 cubic meters per hour. Statement II: The tank will be completely filled in 20 hours. Is the volume of the tank 240 cubic meters?
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Both statements together are not sufficient
Exam Q 132022Previous Year Pattern
A shopkeeper sells items at a profit. Statement I: The cost price of item A is ₹100 and it is sold at 40% profit. Statement II: The selling price of item A is ₹140. Is the profit earned on item A equal to ₹40?
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Both statements together are not sufficient
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