Quant Topics Asked in SSC CGL Exam Last Year

The Staff Selection Commission (SSC) has released the notification for the SSC CGL 2024 exam, with 17,727 vacancies available. This is a great opportunity for candidates who aspire to crack government exams. The SSC CGL Tier 1 exam is scheduled to be conducted from 9 September to 26 September 2024. To prepare for this exam, it is important for candidates to be aware of the topics that were covered in the previous year’s SSC CGL exam. In this article, we will focus on the Quantitative Aptitude (Quant) section. Knowing the important Quant topics can help you create a good study plan and improve your chances of scoring well in the exam.

Quant Topics asked in SSC CGL previous year exam:

The Quantitative Aptitude section of the SSC CGL exam is an important part of both Tier 1 and Tier 2. In Tier 1, it consists of 25 questions worth 50 marks, while in Tier 2, it includes 30 questions worth 90 marks.

Below is a list of various topics that have appeared in previous years’ examinations. It’s crucial to have a strong understanding of these areas:

1. Number System (Divisibility rule, squares, cubes, prime number)
2. Geometry: Triangles (area and angles), circles (area of sector, chord etc)
3. Data Interpretation (Pie charts, Table, Graphs)
4. Time and Work (Efficiency concepts)
5. Algebra (Basic identities)
6. Profit and Loss
7. Time, Speed, Distance (Trains, linear and Circular races)
8. Trigonometry (Basic Identities)
9. Simplification (BODMAS, fractions)
10. Percentage: (Income and Expenditure, Vote based questions)
11. Simple Interest & Compound Interest
12. Height & Distance
13. Mensuration (question on spheres, cuboid, cylinder etc.)
14. HCF & LCM (Highest Common Factor & Lowest Common Multiple)
15. Discount 
16. Average
17. Ratio & proportion
18. Co-ordinate Geometry
19. Mean, Mode & Median
20. Probability
21. Boat & Stream
22. Mixture & Allegation

Quant Questions asked in SSC CGL previous year exam:

These topics asked a lot in the SSC CGL exam. Sometimes, you might see 3 or 4 questions from just one topic in a single shift. So, it’s really important to practice these kinds of questions. If you get good at these topics, you can score more marks in the exam.

Number System

Question asked under this topics requires basic knowledge of number systems like prime number, whole number, squares, cubes, divisibility rules etc. Let’s have a look on some questions

• Q. Which number among 11368, 11638, 11863 and 12638 is divisible by 11?
• Q. The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?
• Q. How many of the following numbers are divisible by 3 but NOT by 9?5826, 5964, 6039, 6336, 6489, 6564, 6867 and 696

Geometry

Geometry questions often focus on properties of triangles and circles. These problems test your understanding of angles, arcs, and basic geometric calculations.

• Q. If the measure of one angle of a right triangle is 30° more than the measure of the smallest angle, then the measure of the smallest angle is?
• Q. A circular Arc whose radius is 4 cm makes an angle of 45° at the center. Find the perimeter of the Sector formed?

Mensuration

Mensuration questions typically involve calculating areas and volumes of various shapes. In this case, we’ll see a problem related to the surface area of a cylinder

• Q. The curved surface area of a right circular cylinder of height 56cm is 1408 cm². Find the diameter of the base of the cylinder?
• Q. A hemispherical bowl has a radius of 7 cm. It is to be painted from inside as well as outside. Find the cost of painting it at the rate of Rs.40 per 20 cm² ? (Take thickness of the bowl as negligible).

Simple Interest and Compound Interest

These questions test your ability to calculate interest, principal, rate, or time given other variables. Understanding the formulas and their applications is key.

• Q. In what time will ₹3,720 amount to ₹5,282.4 at 12 % simple interest per annum?
• Q. The difference between the simple interest and compound interest on Rs. X at 7% per annum for 2 years is Rs. 24.50. What is the value of X?

Time and Work

Time and Work problems involve calculating how long it takes for individuals or groups to complete tasks. These questions often include scenarios where workers have different efficiencies or leave mid-task.

• Q. Sara can finish a work in 18 days and Tara can complete the same work in 15 days. Tara worked for 10 days and left the job. In how many days can Sara finish the remaining work alone?
• Q. 40 men can complete a work in 30 days. However, if 10 men leave the group, how many days will the group take to complete the work?
• Q. A can finish a job in 8 hours and B can finish the same job in 12 hours independently. If they work simultaneously, in how many hours can they do the same job?

Ratio & Proportion

Questions on Ratio and Proportion test your ability to compare quantities and find missing values in proportional relationships.

• Q. Ritesh’s monthly salary is ₹50,000 and his monthly expenditure is ₹18,000. Radha’s monthly salary is ₹60,000 and her monthly expenditure is ₹24,000. Find the ratio of Radha’s savings to Ritesh’s savings?
• Q. The third proportional to 7 and 63 is?

Time speed and Distance

These problems typically involve calculating one of the three variables (time, speed, or distance) . They often include scenarios with trains, circular paths, or thief and police questions

• Q. A 252 m long train is running at a speed of 125 km/h. What is the time (in seconds) in which it will pass a man who starts from the engine running at the speed of 17 km/h in the same direction as that of the train?
• Q. In a circular path of 600 m, Pankaj and Rohit start walking in opposite directions from the same point at the speeds of 2.85 m/s and 5.4 km/h, respectively. After how many minutes will they meet for the first time? (Rounded off to one decimal point).

Trigonometry

Trigonometry questions test your knowledge of trigonometric ratios and identities. You’ll need to manipulate these to solve for unknown values.

• Q. If 7 cot P = 24, then find sin P?
• Q. If Tan⁴θ + Tan²θ =1, what is the value of  11 (Cos⁴θ + Cos²θ)?

Simplification

Simplification problems involve performing multiple arithmetic operations in the correct order. These questions test your ability to apply BODMAS rules and handle complex calculations.

• Q. 7.35 × 7.35 – 2.25 × 2.25 ⁄  0.24?
• Q. 80.40 ÷ 20 – (-4.02) + 2.06 = ______?

Profit and Loss

These questions involve calculating profit or loss percentages based on cost price and selling price. Understanding the relationship between these factors is crucial.

Q. If the cost price of 28 oranges is equal to selling price of 24 oranges, then the profit percentage is?

Q. A shopkeeper gives a 12% additional discount on the discounted price, after giving an initial discount of 25% on the labelled price of a radio. If the final selling price of the radio is ₹792, then what is its labelled price (in ₹)?

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Algebra

Algebraic questions often involve solving equations or basic expressions. These problems test your ability to handle variables, perform operations, and apply algebraic identities.

• Q. If X + 1/X = 6 and X > 1, then find the value of (X² + 1/ X²)?
• Q. If X − 1/X = 10, then find the value of (X⁴ + 1/ X⁴)?

Percentage

Percentage problems typically involve calculating increases, decreases, or finding original values.

• Q. If the price of petrol is increased by 81%, by what percentage should the consumption of petrol be decreased by the consumer if the expenditure on petrol remains unchanged? (Correct to two decimal places)
• Q. If 85% of a number is added to 75, then the result is number itself, the number is?

Mastering these topics will significantly boost your performance in the mathematics section of the SSC CGL exam. Regular practice with a variety of questions in each area is key to success.