SSC GD Constable Data Sufficiency — Maths — Study Material & 15 Practice MCQs | ZestExam
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SSC GD Constable Data Sufficiency — Maths
Study Material · Concept Notes · Shortcuts
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.
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.
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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.
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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.
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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.
Test Data Sufficiency — Maths under exam conditions
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