
SSC CGL Quantitative Aptitude: Arithmetic Practice Questions with Solutions
Quantitative Aptitude is an important part of SSC CGL preparation. Candidates need conceptual clarity, calculation speed and regular practice to improve their performance in the mathematics section.
If you are preparing for SSC CGL, topics such as percentage, ratio and proportion, profit and loss, average, simple interest, compound interest, time and work, and time, speed and distance should be included in your daily study plan.
In this article, you will learn how to prepare arithmetic for SSC CGL, practise important questions and identify common mistakes. For classroom guidance, see SSC Coaching in Bahadurgarh.
Important Arithmetic Topics for SSC CGL
1. Percentage
Percentage questions are useful for building a foundation for profit and loss, discount, interest and data interpretation.
Formula:
Percentage = (Part ÷ Total) × 100
Example: Find 25% of 640.
Solution: 25% of 640 = 640 × 25/100 = 160.
2. Ratio and Proportion
Ratio compares two quantities.
Example: The ratio of boys to girls in a class is 3:5. If there are 40 students, how many are boys?
Solution: Total parts = 3 + 5 = 8. Number of boys = 40 × 3/8 = 15.
3. Profit and Loss
Profit = Selling Price − Cost Price
Loss = Cost Price − Selling Price
Profit Percentage = (Profit ÷ Cost Price) × 100
Example: An article is purchased for ₹800 and sold for ₹1,000. Find the profit percentage.
Profit = ₹1,000 − ₹800 = ₹200. Profit Percentage = 200/800 × 100 = 25%.
4. Average
Average = Sum of observations ÷ Number of observations
Example: Find the average of 12, 18, 20, 25 and 25.
Sum = 100. Average = 100 ÷ 5 = 20.
5. Time and Work
If a person completes a job in 10 days, their one-day work is 1/10 of the total work, assuming a constant work rate.
For combined work, calculate the individual work rates and add them.
6. Time, Speed and Distance
Speed = Distance ÷ Time
Distance = Speed × Time
Time = Distance ÷ Speed
Always convert units correctly before calculating.
SSC CGL Arithmetic Practice Questions
Try these questions before checking the answers.
- Question 1: Find 35% of 480.
- Question 2: The ratio of two numbers is 4:7 and their sum is 99. Find the smaller number.
- Question 3: An article costing ₹1,200 is sold at a profit of 15%. Find its selling price.
- Question 4: Find the average of 16, 22, 28, 34 and 40.
- Question 5: A person completes a job in 12 days. What fraction of the work will be completed in 4 days at the same rate?
- Question 6: A vehicle travels 180 km in 3 hours. Find its average speed.
Answers with Short Solutions
- 35% of 480 = 168.
- Total parts = 11; smaller number = 99 × 4/11 = 36.
- Selling price = ₹1,200 × 115/100 = ₹1,380.
- Average = 140/5 = 28.
- Work completed = 4/12 = 1/3.
- Speed = 180/3 = 60 km/h.
How to Prepare Arithmetic for SSC CGL
Follow these steps for consistent improvement:
- Learn the basic concept before memorising shortcuts.
- Maintain a separate notebook for formulas.
- Practise arithmetic questions topic-wise.
- Revise incorrect questions regularly.
- Attempt timed quizzes to improve calculation speed.
- Analyse mock tests to identify weak topics.
- Practise previous-year questions using reliable exam-preparation resources.
Do not depend only on tricks. A shortcut is useful when you understand why it works.
Common Mistakes to Avoid
- Applying the wrong percentage base.
- Confusing cost price with selling price.
- Making calculation errors in fractions and decimals.
- Ignoring units in speed and distance questions.
- Memorising formulas without practising applications.
- Attempting mock tests without analysing mistakes.
Frequently Asked Questions
Q1. Which arithmetic topics should I study first for SSC CGL?
Start with percentages, ratio and proportion, average, profit and loss, and basic calculations. Then progress to interest, time and work, and time, speed and distance.
Q2. How can I improve my SSC CGL maths speed?
Practise calculations daily, learn appropriate shortcuts and solve timed topic-wise quizzes. Accuracy should come before excessive speed.
Q3. Are previous-year questions useful for SSC CGL Quantitative Aptitude?
Yes. They help you understand question patterns and practise concepts relevant to the examination.
Q4. Should beginners join SSC CGL maths coaching?
Candidates who struggle with fundamentals may benefit from structured teaching, regular practice, doubt-solving and mock-test analysis.
Prepare for SSC CGL with TN Academy®
TN Academy® is a government job coaching institute located in Bahadurgarh, Delhi NCR. Candidates looking for structured SSC preparation can enquire about available batches, Quantitative Aptitude classes, practice sessions and counselling.
Contact: 9729299034
Website:https://tnacademy.in/
Campus: 3rd Floor, Radha Ganga Arcade, Opp. Jhajjar Mod, Delhi–Rohtak Road, Metro Pillar 848, Bahadurgarh, Haryana 124507.
Call or WhatsApp TN Academy® to ask about the current SSC coaching schedule, fees and available demo classes.
Disclaimer: SSC examination patterns and eligibility requirements may change. Refer to the relevant official SSC notification for the latest information.
SSC CGL Course Enquiry
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