Daily aptitude questions for SSC & competitive exams covering Arithmetic, Percentage, Time & Work, Speed–Distance, Ratio, Profit & Loss, and more.
Last Updated: 21 January 2026
1. The difference between compound interest and simple interest on a sum of money for 2 years at 10% per annum is ₹200. What is the principal?
2. The simple interest on a sum for 2 years at 8% per annum is ₹640. What is the compound interest on the same sum for the same period at the same rate?
3. The difference between compound interest and simple interest on a sum of money for 2 years at 5% per annum is ₹50. What is the simple interest for 2 years?
4. The compound interest on a sum for 2 years at 10% per annum is ₹2100. What is the simple interest on the same sum for the same period?
5. If the difference between compound interest and simple interest on a certain sum for 2 years at 12% per annum is ₹288, what is the compound interest for 2 years?
Special SSC Tip to Improve Score: For 2-year problems, always remember the shortcut: CI − SI = P × (R/100)². This single formula can solve most SSC CGL CI–SI questions in under 10 seconds. Avoid full amount calculation unless explicitly required.
1. The cost price of an article is 20% less than its marked price. If the article is sold after allowing a discount of 10% on the marked price, what is the profit percentage?
2. A and B together can complete a work in 12 days. B alone can complete the same work in 20 days. In how many days can A alone complete the work?
3. The average of 15 observations is 42. If the average of the first 9 observations is 38 and that of the last 7 observations is 46, what is the 9th observation?
4. A train passes a platform 180 m long in 24 seconds and a man standing on the platform in 12 seconds. What is the speed of the train?
5. The difference between compound interest and simple interest on a sum of money for 2 years at 10% per annum is ₹200. What is the principal?
1. The marked price of an article is 40% above its cost price. If a discount of 10% is allowed, what is the profit percentage?
2. A can complete a work in 20 days and B can complete the same work in 30 days. If they work together for 6 days, what fraction of the work remains unfinished?
3. The average of 10 numbers is 35. If one number is excluded, the average becomes 33. What is the excluded number?
4. A train 200 m long is running at a speed of 54 km/h. In how many seconds will it cross a bridge 250 m long?
5. What will be the compound interest on ₹10,000 at 10% per annum for 2 years?
1. If the cost price of an article is 25% less than its selling price, what is the profit percentage?
2. A can complete a work in 12 days and B can complete the same work in 18 days. They work together for 4 days. What fraction of the work remains unfinished?
3. The average of 9 numbers is 41. If one number is removed, the average becomes 40. What is the removed number?
4. A train 180 m long is running at a speed of 72 km/h. In how many seconds will it cross a platform 120 m long?
5. What will be the compound interest on ₹8000 at 10% per annum for 2 years?
1. The cost price of an article is 20% less than its marked price. If a discount of 10% is given on the marked price, what is the profit percentage?
2. A can complete a work in 15 days and B can complete the same work in 20 days. They work together for 5 days. What fraction of the work remains unfinished?
3. The average of 8 numbers is 32. If one number is excluded, the average becomes 30. What is the excluded number?
4. A train 150 m long is running at a speed of 54 km/h. In how many seconds will it cross a bridge 210 m long?
5. What will be the compound interest on ₹6400 at 25% per annum for 2 years?
Expert Tip (SSC CGL): SSC CGL questions are calculation-light but concept-heavy. Focus on shortcuts like CI–SI difference for 2 years, LCM method in Time & Work, and unit conversion (km/h → m/s). Speed comes from concept clarity, not long calculations.
1. The compound interest on a sum for 2 years at 10% per annum compounded annually is ₹1050. What is the principal?
3. The difference between compound interest and simple interest on a sum for 2 years at 12% per annum is ₹288. What is the principal?
4. What will be the compound interest on ₹8000 at 10% per annum for 1 year compounded half-yearly?
5. A sum becomes ₹10648 in 2 years when compounded annually at a certain rate. If the rate of interest is increased by 2% per annum, the amount becomes ₹11025. What was the original rate of interest?
Q1. CI for 2 years = P × (R/100)² = P × (10/100)² = P × 1/100 ⇒ P = 1050 × 100 = ₹10000
Q2. CI = P[(1.08 × 1.12) − 1] ⇒ 4160 = P(1.2096 − 1) = 0.2096P ⇒ P = 4160 ÷ 0.2096 = ₹20000
Q3. Difference (CI − SI) for 2 years = P × (R/100)² ⇒ 288 = P × (12/100)² = P × 0.0144 ⇒ P = 288 ÷ 0.0144 = ₹20000
Q4. Half-yearly rate = 10% ÷ 2 = 5% Amount = 8000 × (1.05)² = 8820 CI = 8820 − 8000 = ₹820
Q5. 10648 = P × (1 + R/100)² 11025 = P × (1 + (R+2)/100)² Comparing values gives R = 10%
1. The compound interest on a sum for 2 years at 10% per annum is ₹420. What is the principal?
2. A sum of money becomes ₹9680 in 2 years at compound interest compounded annually at 10%. What is the principal?
3. The difference between compound interest and simple interest on a sum for 2 years at 5% per annum is ₹50. What is the principal?
4. A sum is invested at 10% per annum compound interest for the first year and 20% per annum for the second year. If the total compound interest after 2 years is ₹3200, what is the principal?
5. What will be the compound interest on ₹10,000 in 2 years if the rate of interest is 10% per annum for the first year and 12% per annum for the second year?
Q1. CI for 2 years = P × (R/100)² = P × (10/100)² = P × 1/100 ⇒ P = 420 × 100 = ₹2000
Q2. Amount = P × (1.1)² = 1.21P ⇒ P = 9680 ÷ 1.21 = ₹8000
Q3. Difference (CI − SI) for 2 years = P × (R/100)² ⇒ 50 = P × (5/100)² = P × 1/400 ⇒ P = 50 × 400 = ₹20000
Q4. CI = P[(1.1 × 1.2) − 1] ⇒ 3200 = P(1.32 − 1) = 0.32P ⇒ P = 3200 ÷ 0.32 = ₹14000
Q5. Amount = 10000 × 1.10 × 1.12 = 11200 CI = 11200 − 10000 = ₹2320
1. The compound interest on a sum for 2 years at 10% per annum is ₹210. What is the principal?
2. What will be the compound interest on ₹8000 at 12.5% per annum for 2 years, compounded annually?
3. The difference between the compound interest and simple interest on a sum for 2 years at 8% per annum is ₹64. What is the principal?
4. A sum becomes ₹8820 in 2 years when compounded annually at the rate of 5% per annum. What is the principal?
5. If the compound interest on a sum for 2 years at the rate of 10% per annum is ₹1050, what will be the simple interest on the same sum for the same period?
1. What is the angle between the hour hand and the minute hand at 3:30?
2. At what time between 4 and 5 o’clock will the hands of a clock be at right angles?
3. How many times do the hands of a clock coincide between 5:00 AM and 6:00 AM?
4. At what time between 7 and 8 o’clock will the hands of a clock be in the same straight line but opposite in direction?
5. What is the angle between the hands of a clock at 6:40?
1. A train running at 72 km/h crosses a man standing on the platform in 10 seconds. What is the length of the train?
2. A train passes a platform 120 m long in 24 seconds and a pole in 12 seconds. What is the speed of the train?
3. What day of the week was 26th January 1950?
4. If 15th August 2021 was a Sunday, what day of the week was 26th January 2022?
5. How many times do the hands of a clock form a straight line (180°) between 12:00 noon and 12:00 midnight?
1. A train running at 54 km/h crosses a pole in 20 seconds. What is the length of the train?
2. A train passes a platform 180 m long in 24 seconds and a man standing on the platform in 12 seconds. What is the speed of the train?
3. What day of the week was 15th August 1947?
4. If 1st January 2012 was a Sunday, what day of the week was 1st January 2013?
5. How many times do the hands of a clock coincide between 3:00 PM and 4:00 PM?
1. The marked price of an article is ₹2000. A discount of 20% is given and the shopkeeper still gains 25%. What is the cost price of the article?
2. A can do a work in 18 days and B can do the same work in 27 days. If they work together for 6 days, what fraction of the work remains unfinished?
3. The average of 9 numbers is 45. If the average of the first 5 numbers is 42 and that of the last 5 numbers is 48, what is the 5th number?
4. A train travels at 54 km/h and crosses a platform in 30 seconds. If the length of the train is 150 m, what is the length of the platform?
1. If the selling price of an article is increased by 20% and the cost price is increased by 10%, what is the percentage change in profit?
2. A can complete a work in 15 days and B can complete it in 20 days. They work together for 4 days. After that, A leaves. In how many more days will B finish the remaining work?
3. The average of 12 numbers is 35. If the average of the first 7 numbers is 30 and that of the last 7 numbers is 40, what is the 6th number?
4. A train passes a man standing on a platform in 18 seconds and crosses the platform completely in 30 seconds. If the length of the platform is 240 m, what is the speed of the train?
5. What will be the compound interest on ₹8000 at 12.5% per annum for 2 years, compounded annually?
1. If a number is increased by 20% and then decreased by 20%, what is the net change?
2. A can complete a work in 12 days and B can complete it in 18 days. In how many days will they complete the work together?
3. The ratio of two numbers is 2 : 5. If their sum is 84, what is the larger number?
4. The average of 7 numbers is 30. If one number is removed, the average becomes 28. What is the removed number?
5. What will be the simple interest on ₹9000 at 8% per annum for 2 years?
1. (Profit & Loss) A shopkeeper gains 25% by selling an article for ₹1000. What is the cost price?
2. (Time & Distance) A train travels at a speed of 72 km/h. How much distance will it cover in 2.5 hours?
3. (Ratio & Ages) The ratio of present ages of A and B is 4 : 5. After 10 years, the ratio becomes 6 : 7. What is A’s present age?
4. (Mixture) In what ratio should water be mixed with milk worth ₹60 per litre to get a mixture worth ₹48 per litre?
5. (Compound Interest) What will be the amount on ₹8000 at 5% per annum compound interest for 2 years?
1. (Percentage) If the marked price of an article is ₹1200 and a discount of 15% is given, what is the selling price?
2. (Time & Work) A can do a piece of work in 24 days and B can do it in 36 days. In how many days will they complete the work together?
3. (Ratio & Proportion) The ratio of two numbers is 5 : 7 and their difference is 24. What is the smaller number?
4. (Average) The average of 8 numbers is 25. If one number is replaced by 41, the average becomes 27. What was the original number replaced?
5. (Simple Interest) What will be the simple interest on ₹6000 at 10% per annum for 3 years?
1. (Percentage) The population of a town increases by 10% in the first year and decreases by 10% in the second year. What is the net percentage change in the population?
2. (Time & Work) A can complete a work in 20 days and B can complete the same work in 30 days. If they work together for 6 days and then A leaves, in how many more days will B complete the remaining work?
3. (Ratio & Proportion) If the ratio of the present ages of A and B is 5 : 8 and after 6 years the ratio becomes 3 : 4, what is B’s present age?
4. (Speed, Time & Distance) A train covers a distance of 180 km at a speed of 60 km/h. How long will it take to cover the same distance at a speed of 72 km/h?
5. (Compound Interest) What will be the compound interest on ₹5000 at 10% per annum for 2 years?
1. (Profit & Loss) A shopkeeper sells an article at a loss of 10%. If the cost price is ₹900, what is the selling price?
2. (Time & Work) A can complete a work in 16 days and B can complete it in 24 days. If they work together, in how many days will the work be completed?
3. (Average) The average age of 5 persons is 28 years. If a new person joins the group, the average becomes 26 years. What is the age of the new person?
4. (Ratio & Proportion) Two numbers are in the ratio 4 : 9. If their difference is 35, what is the larger number?
5. (Simple Interest) What will be the simple interest on ₹12,000 at 5% per annum for 4 years?
1. (Percentage) If the price of a product is increased by 25% and later decreased by 20%, what is the net percentage change?
2. (Time & Work) A can complete a work in 18 days and B can complete the same work in 12 days. If they work together, in how many days will they finish the work?
3. (Ratio & Proportion) The ratio of two numbers is 3 : 7 and their sum is 200. What is the larger number?
4. (Speed, Time & Distance) A bus covers a distance of 300 km at a speed of 50 km/h and returns at a speed of 75 km/h. What is the average speed for the entire journey?
5. (Simple Interest) What will be the simple interest on ₹10,000 at 6% per annum for 3 years?
1. (Profit & Loss) A trader sells an article for ₹720 and gains 20%. What is the cost price of the article?
2. (Time & Work) A can do a piece of work in 10 days, B can do it in 15 days. They work together for 4 days and then B leaves. In how many more days will A complete the remaining work?
3. (Average) The average of 6 numbers is 18. If one number is excluded, the average becomes 16. What is the excluded number?
4. (Ratio & Proportion) The ratio of the incomes of A and B is 5 : 7 and the ratio of their expenditures is 3 : 4. If A saves ₹4000 and B saves ₹5000, what is A’s income?
5. (Simple Interest) What will be the simple interest on ₹7500 at the rate of 8% per annum for 2 years?
1. (Percentage) The price of an article is increased by 20% and then decreased by 10%. What is the net percentage change in the price?
2. (Time & Work) A alone can complete a work in 15 days and B alone can complete the same work in 20 days. If they work together for 5 days and then A leaves, in how many more days will B finish the remaining work?
3. (Ratio & Proportion) The ratio of boys to girls in a class is 7 : 5. If there are 12 more boys than girls, what is the total number of students in the class?
4. (Speed, Time & Distance) A person walks at a speed of 6 km/h and returns along the same path at a speed of 4 km/h. What is his average speed for the whole journey?
5. (Simple Interest) A sum amounts to ₹6600 in 3 years at simple interest at the rate of 10% per annum. What is the principal?
1. (Percentage & Profit–Loss) A shopkeeper marks an article 40% above its cost price and allows a discount of 10%. What is his profit percentage?
2. (Time & Work) A can complete a work in 12 days and B can complete the same work in 18 days. In how many days will they complete the work together?
3. (Ratio & Proportion) The ratio of ages of A and B is 4 : 5. After 6 years, the ratio becomes 5 : 6. What is the present age of A?
4. (Speed, Time & Distance) A train travels 360 km at a speed of 60 km/h and returns at a speed of 40 km/h. What is the average speed of the train for the entire journey?
5. (Simple Interest) What will be the simple interest on ₹8000 at 12% per annum for 2½ years?
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