This page covers SSC GD Constable Data Sufficiency — Maths with complete concept notes, 15 graded practice MCQs, key points and exam-specific tips. Free to study.
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
15graded MCQs · easy to hard · full solution & trap analysis
Is the number x divisible by 6?
Statement I: x is divisible by 2.
Statement II: x is divisible by 3.
Practice 2easy
What is the simple interest earned on a principal amount?
Statement I: The principal is Rs. 5000 and the rate is 8% per annum.
Statement II: The time period is 3 years.
Practice 3easy
What is the average of five consecutive even numbers?
Statement I: The smallest number is 12.
Statement II: The largest number is 20.
Practice 4easy
What is the value of x in the equation 2x + 5 = 13?
Statement I: x is a positive integer.
Statement II: 2x = 8.
Practice 5easy
Is a number y a perfect square?
Statement I: y = 64.
Statement II: y is divisible by 8.
Practice 6easy
What is the area of a rectangle?
Statement I: The length is 12 cm.
Statement II: The perimeter is 40 cm.
Practice 7medium
A rectangular tank has length L, width W, and height H (all in meters). Water is filled to a height of h meters. The tank loses water at a rate of 2 cubic meters per hour due to a leak.
Statement I: The tank's volume is 120 cubic meters and it was full initially.
Statement II: After 10 hours, the water level dropped by 0.5 meters.
Which statement(s) is/are sufficient to determine the base area (L × W) of the tank?
Practice 8medium
A person invests money in two schemes: Scheme X offers simple interest at 8% per annum, and Scheme Y offers compound interest at 8% per annum (compounded annually). The person invests a total of Rs. 10,000 in both schemes combined.
Statement I: The amount invested in Scheme X is Rs. 6,000.
Statement II: After 2 years, the total interest earned from both schemes is Rs. 1,664.
Which statement(s) is/are sufficient to find the amount invested in Scheme Y?
Practice 9medium
A circle has a radius of r cm. A chord of length L cm is drawn in the circle. The perpendicular distance from the center of the circle to the chord is d cm.
Statement I: The radius of the circle is 10 cm and the chord length is 12 cm.
Statement II: The perpendicular distance from the center to the chord is 8 cm.
Which statement(s) is/are sufficient to verify that the chord length is consistent with the circle's radius?
Practice 10medium
A shopkeeper has two types of tea: Type A costing Rs. 100 per kg and Type B costing Rs. 150 per kg. He mixes them to create a blend and sells it at Rs. 140 per kg, making a profit of 20% on the blend.
Statement I: The cost price of the blend is Rs. 116.67 per kg.
Statement II: The ratio of Type A to Type B in the blend is 2:1.
Which statement(s) is/are sufficient to determine the exact quantities of Type A and Type B in the blend?
Practice 11medium
A train travels from City A to City B. The distance between the cities is D kilometers. The train travels at a constant speed for the first half of the distance and at a different constant speed for the second half.
Statement I: The train's average speed for the entire journey is 60 km/h and the first half is covered in 2 hours.
Statement II: The speed in the second half is 40 km/h.
Which statement(s) is/are sufficient to find the distance D?
Practice 12medium
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. In a day, he sells a total of 100 items and earns a profit of Rs. 200. The number of pens sold is twice the number of erasers sold.
Statement I: The selling price of a pen is Rs. 8.
Statement II: The number of notebooks sold is 40.
Which statement(s) is/are sufficient to find the exact number of each item sold?
Practice 13hard
A number has certain properties. Statement I: The number is divisible by both 6 and 8. Statement II: The number is a multiple of 24. What is the least common multiple (LCM) of the divisors mentioned?
A) Only Statement I is sufficient
B) Only Statement II is sufficient
C) Both statements together are sufficient
D) Neither statement alone is sufficient, but both together are sufficient
Practice 14hard
A shopkeeper sells items at a profit. Statement I: The cost price of an item is ₹80 and it is sold at 25% profit. Statement II: The selling price is ₹100. Which statement(s) is/are sufficient to find the profit amount?
A) Only Statement I is sufficient
B) Only Statement II is sufficient
C) Both statements together are sufficient
D) Neither statement alone is sufficient, but both together are sufficient
Practice 15hard
A train travels between two cities. Statement I: The train travels at 60 km/h for the first half of the distance and 80 km/h for the second half of the distance. Statement II: The total distance is 280 km. What is the average speed of the train?
A) Only Statement I is sufficient
B) Only Statement II is sufficient
C) Both statements together are sufficient
D) Neither statement alone is sufficient, but both together are sufficient
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