SSC CGL Tier 2 Arithmetic Questions, Download PDF

Arithmetic is an important part of SSC CGL Tier 2 Quantitative Abilities, and mastering it can significantly boost your scores. Topics like Profit & Loss, Discount, Time & Work, Speed & Distance, Simple & Compound Interest are frequently asked in the exam. This guide will help you understand the key concepts and provide a structured approach for practice.

Most Expected SSC CGL Tier 2 Arithmetic Questions

Arithmetic plays a major role in SSC CGL Exam Tier 2 Quantitative Aptitude. Below are 30 most expected and high-level arithmetic questions from topics like Profit & Loss, Time & Work, Percentage, Ratio, Averages, Interest, and more to boost your Tier 2 preparation.

Q1. A shopkeeper marks his goods 20% above cost and allows a discount of 15%. If he sells an article for Rs 2040, the cost price is:
A) 1800 B) 1700 C) 1750 D) 1850
Answer: A

Q2. If a man buys 20 articles at the price of 18 and sells them at a gain of 25%, the gain % on selling price is:
A) 20% B) 22.5% C) 25% D) 30%
Answer: B

Q3. A man sells an article at 12% loss. If he had sold it for Rs 120 more, he would have gained 8%. Find the cost price:
A) 500 B) 600 C) 700 D) 800
Answer: B

Q4. An article is sold at two successive discounts of 10% and 20%. The net discount is:
A) 28% B) 30% C) 25% D) 32%
Answer: A

Q5. A trader allows a discount of 12% on the marked price and still makes a profit of 20% on cost price. If the selling price is Rs 560, the marked price is:
A) 600 B) 630 C) 640 D) 650
Answer: B

Q6. A man bought 2 dozen pens for Rs 240. He sold all at Rs 12 each. Gain % is:
A) 20% B) 25% C) 30% D) 35%
Answer: B

Q7. A man can do a piece of work in 12 days, and his assistant can do it in 16 days. If they work together, in how many days will the work be finished?
A) 6 B) 7 C) 8 D) 9
Answer: C

Q8. A boat goes 30 km downstream and returns in 6 hours. If the speed of the stream is 2 km/h, the speed of the boat in still water is:
A) 5 km/h B) 7 km/h C) 8 km/h D) 10 km/h
Answer: C

Q9. The ratio of ages of A and B is 3:4. Five years hence, the sum of their ages will be 45. The present age of B is:
A) 20 B) 25 C) 30 D) 35
Answer: C

Q10. The cost price of 12 pens and 8 pencils is Rs 72. If a pen costs twice as much as a pencil, the cost of a pencil is:
A) 2 B) 3 C) 4 D) 5
Answer: B

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Q11. A sum of Rs 5000 is lent at compound interest at 10% per annum. The amount after 2 years is:
A) 6050 B) 6055 C) 6050.5 D) 6060
Answer: A

Q12. A train 120 m long passes a man walking at 6 km/h in 12 seconds. The speed of the train is:
A) 36 km/h B) 42 km/h C) 54 km/h D) 48 km/h
Answer: D

Q13. The average of 5 numbers is 25. If one number is excluded, the average becomes 23. The excluded number is:
A) 30 B) 35 C) 40 D) 45
Answer: C

Q14. A sum of Rs 7200 is to be divided among A, B, and C in the ratio 3:4:5. The share of B is:
A) 2400 B) 2800 C) 3200 D) 3000
Answer: B

Q15. A cistern has two pipes A and B. A can fill it in 20 minutes, B can empty it in 30 minutes. If both are open, the cistern will be filled in:
A) 50 min B) 60 min C) 40 min D) 45 min
Answer: D

Q16. A man sold an article at 25% gain. Had he sold it for Rs 100 more, the gain would have been 40%. Find the cost price:
A) 200 B) 250 C) 300 D) 350
Answer: B

Q17. A person borrowed Rs 10,000 at 12% per annum simple interest. After 3 years, he pays Rs 3,600 as interest. The principal is:
A) 9,000 B) 10,000 C) 12,000 D) 15,000
Answer: B

Q18. A, B, and C can do a piece of work in 12, 15, and 20 days respectively. They work alternately, starting with A for 1 day. How long will the work last?
A) 8 days B) 9 days C) 10 days D) 11 days
Answer: B

Q19. A sum of Rs 8000 is lent at 10% per annum for 2 years. If interest is compounded annually, the total amount will be:
A) 9600 B) 9680 C) 9700 D) 9720
Answer: B

Q20. A train 200 m long crosses a platform 300 m long in 25 seconds. The speed of the train is:
A) 18 km/h B) 25 km/h C) 72 km/h D) 72.5 km/h
Answer: C

Check out SSC CGL Tier 2 Weightage of English and Quant

Q21. A sum becomes 9261 in 3 years at 10% per annum compound interest. The principal is:
A) 7000 B) 7500 C) 7700 D) 8000
Answer: D

Q22. A man covers a distance at 12 km/h and returns at 8 km/h. His average speed is:
A) 9.6 km/h B) 9.8 km/h C) 10 km/h D) 10.5 km/h
Answer: A

Q23. A can do a piece of work in 10 days, B in 15 days. They work on alternate days starting with A. The work will be completed in:
A) 7 days B) 8 days C) 9 days D) 10 days
Answer: C

Q24. A sum of Rs 12,500 is divided among A, B, C in proportion to 2:3:5. Find C’s share.
A) 5000 B) 4000 C) 4500 D) 6000
Answer: A

Q25. A man borrows Rs 5000 at 10% per annum simple interest. After 3 years he repays Rs 6500. How much extra did he pay?
A) 500 B) 650 C) 1000 D) 1500
Answer: C

Q26. The sum of squares of two consecutive numbers is 365. Find the numbers.
A) 12, 13 B) 13, 14 C) 14, 15 D) 15, 16
Answer: C

Q27. A boat goes 24 km downstream and 16 km upstream in 4 hours. Speed of the stream is 2 km/h. Speed of boat in still water:
A) 10 km/h B) 11 km/h C) 12 km/h D) 13 km/h
Answer: B

Q28. A sum of Rs 5000 amounts to Rs 6100 in 2 years at simple interest. Find the rate of interest:
A) 10% B) 11% C) 12% D) 13%
Answer: C

Q29. A can do 1/4 of a work in 3 days. B can do the same work in 12 days. They work together. Time taken:
A) 6 days B) 5 days C) 4 days D) 3 days
Answer: B

Q30. A sum of Rs 8000 is lent at 12% per annum compound interest. Amount after 2 years:
A) 9984 B) 9992 C) 10,000 D) 10,112
Answer: D

Download 100 SSC CGL Tier 2 Arithmetic Questions PDF

To help you prepare thoroughly for the Quantitative Aptitude section, we’ve compiled a comprehensive set of 100 high-difficulty SSC CGL Tier 2 Arithmetic questions covering every important topic. This PDF is designed for serious aspirants who want to practice advanced-level arithmetic questions similar to what is asked in the SSC CGL Tier 2 exam.

Why Arithmetic is Important for SSC CGL Tier 2

Arithmetic questions in Tier 2 test your basic problem-solving skills, speed, and accuracy. Even a small mistake can cost valuable marks, so understanding the concepts clearly and practicing regularly is essential.

Some reasons why arithmetic is important:

• Directly impacts your Quantitative Ability score.
• Questions are scoring and predictable if you know formulas.
• Helps in time management, as most questions are calculation-based.

Key Topics in SSC CGL Tier 2 Arithmetic

Below is a list of the most important arithmetic topics you must cover:

Topic	Key Concepts & Formulas
1. Profit and Loss & Discount	– Profit & Loss: Learn formulas for Cost Price (CP), Selling Price (SP), Profit %, and Loss %. – Discount: Understand Marked Price (MP), Selling Price (SP), and Discount %, along with successive discounts.
2. Simple and Compound Interest	– SI: (P × R × T)/100 – CI: P × [(1 + R/100)^T – 1]
3. Time and Work.	– Formula: Work = Efficiency × Time – Combined work and individual efficiency concepts. – Wages ∝ Work done.
4. Speed, Time and Distance	– Speed = Distance / Time – Average Speed = Total Distance / Total Time – Relative Speed for moving objects.
5. Ratio and Proportion	– Ratio & Proportion problems, Partnership, Mixtures, and Alligation.
6. Pipes & Cisterns / Boats & Streams	– Pipes & Cisterns: Portion of tank filled/emptied per hour. – Boats & Streams: Speed in still water vs. stream, downstream/upstream relations.
7. Miscellaneous Arithmetic	– Topics include Ages, Percentages, Averages, Alligations, and Partnership.

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