Daily aptitude MCQ tests for examination preparation. Practice Arithmetic, Percentage, Time & Work, Speed–Distance, Ratio, Profit & Loss, and more for SSC and other exams.
Last Updated: 2 Feb 2026
1. If 3x + 7 = 2x + 15, what is the value of x?
2. If 5(x − 2) = 3(x + 4), what is the value of x?
3. The sum of two numbers is 27 and their difference is 5. What is the larger number?
4. If x/3 + x/5 = 16, what is the value of x?
5. If 2(x + 3) − 4 = x + 10, what is the value of x?
Expert Tip: In Algebra questions for SSC CGL, always simplify both sides of the equation first and bring all x-terms to one side. Avoid expanding brackets too early if cancellation is possible—it saves time. Linear equations are quick scoring questions if you stay calm and solve them step by step.
1. What is the smallest number which when divided by 6, 8, and 12 leaves a remainder of 1 in each case?
2. How many prime numbers are there between 50 and 100?
3. The sum of two numbers is 45 and their HCF is 5. How many such pairs of numbers are possible?
4. What is the unit digit of (17103 × 23102)?
5. If the product of two consecutive even numbers is 2240, what is the smaller number?
Expert Tip: In Number System questions for SSC CGL, focus on concepts like LCM–HCF, remainders, and unit digit cycles. These questions are designed to test logic, not lengthy calculation. Practising shortcuts and pattern recognition can help you solve such questions in under 20 seconds.
1. What is the volume of a cube whose edge is 7 cm?
2. The radius of a sphere is 7 cm. What is the volume of the sphere? (Take π = 22/7)
3. A cylinder has a radius of 7 cm and height of 10 cm. What is the curved surface area of the cylinder? (Take π = 22/7)
4. The diameter of a cone is 14 cm and its height is 24 cm. What is the slant height of the cone?
5. A cuboid has dimensions 10 cm × 8 cm × 6 cm. What is the total surface area of the cuboid?
Expert Tip: In Mensuration (3D), always write down the correct formula first before substituting values. SSC CGL frequently tests confusion between CSA, LSA, and TSA. For cones and spheres, quickly calculate radius and slant height to avoid errors. Clear formula recall can save 30–40 seconds per question.
1. The radius of a circle is increased by 20%. By what percentage does the area of the circle increase?
2. The perimeter of a square is 48 cm. What is the area of the square?
3. A rectangular field has length 60 m and breadth 40 m. What is the cost of fencing the field at the rate of ₹12 per metre?
4. The area of a right-angled triangle is 84 cm². If one of the perpendicular sides is 12 cm, what is the length of the other perpendicular side?
5. The circumference of a circle is 44 cm. What is the area of the circle? (Take π = 22/7)
Expert Note: In Mensuration (2D), SSC CGL often tests percentage change in dimensions. Remember: if a dimension changes by x%, area changes by approximately (2x + x²/100)%. Also, always calculate perimeter first in fencing problems and area first in flooring/painting problems—this avoids common interpretation mistakes.
1. The present age of a father is three times the present age of his son. After 12 years, the father’s age will be twice the son’s age. What is the present age of the son?
2. The ratio of the present ages of A and B is 4 : 5. After 6 years, the ratio becomes 5 : 6. What is the present age of A?
3. The average age of a group of 6 persons is 30 years. If one person aged 36 years leaves the group, what will be the new average age?
4. The present age of A is 60% of the present age of B. After 10 years, the ratio of their ages will be 3 : 4. What is the present age of A?
5. Five years ago, the ratio of ages of P and Q was 5 : 7. After 5 years, the ratio becomes 7 : 9. What is Q’s present age?
Expert Note: In age problems, always assume present ages as variables and form equations using ratios before and after a given number of years. Avoid guesswork—most SSC CGL age questions become easy once you clearly separate present age and future/past age conditions.
1. A man covers a distance of 180 km at a speed of 60 km/h and returns the same distance at a speed of 45 km/h. What is his average speed for the entire journey?
2. A train travels at a speed of 72 km/h. How long will it take to cover a distance of 360 metres?
3. A person walks at a speed of 5 km/h and returns at a speed of 4 km/h. What is the average speed for the whole journey?
4. Two trains are moving in opposite directions at speeds of 54 km/h and 72 km/h. How long will they take to cross each other if their lengths are 150 m and 210 m respectively?
5. A car increases its speed by 25%. By what percentage should the time taken to cover the same distance be reduced?
Expert Note: In Time, Speed & Distance questions, always check whether the journey is one-way or two-way. For equal distances, use the shortcut Average Speed = 2ab / (a + b). Convert speeds into m/s immediately when seconds are involved—this saves time and avoids common SSC mistakes.
1. A and B invest ₹12,000 and ₹18,000 respectively in a business. After 1 year, they earn a profit of ₹6,000. What is A’s share of the profit?
2. A, B and C invest in a business in the ratio 3 : 5 : 7. After 8 months, A withdraws his investment. If the total profit after 1 year is ₹15,000, what is C’s share?
3. A and B start a business with investments of ₹20,000 and ₹30,000 respectively. After 4 months, A withdraws half of his capital. If the profit after 1 year is ₹9,000, what is B’s share?
4. A partnership business earns a profit of ₹18,000. The investments of A and B are in the ratio 4 : 5, but A invested for 6 months while B invested for the whole year. What is A’s share of the profit?
5. A and B invest in a business in the ratio 5 : 6. After 5 months, A increases his investment by 20%. If the total profit after 1 year is ₹11,000, what is A’s share of the profit?
Expert Tip (apti exam): In Partnership questions, always calculate Capital × Time before finding ratios. This shortcut is extremely useful for apti exam, aptitude test, quantitative ability, and aptitude examination. During study for exam, avoid direct equations—ratio comparison is faster and more reliable for aptitude questions and answers in SSC CGL.
1. In what ratio should water be mixed with milk costing ₹60 per litre to obtain a mixture worth ₹48 per litre?
2. A mixture contains alcohol and water in the ratio 5 : 3. If 8 litres of water is added to the mixture, the ratio becomes 5 : 7. What was the initial quantity of the mixture?
3. How many litres of water must be added to 30 litres of milk so that the value of the mixture becomes 20% less?
4. A vessel contains 40 litres of milk. From this vessel, 8 litres of milk is taken out and replaced by water. This process is repeated once more. What is the quantity of milk left in the vessel?
5. In what ratio must two varieties of sugar costing ₹40 per kg and ₹60 per kg be mixed to get a mixture worth ₹50 per kg?
Expert Tip: For Mixture & Allegation problems, always try to use the allegation method instead of forming equations. It saves time and reduces calculation errors. In replacement-type questions, remember the formula: Final quantity = Initial × (1 − replaced/total)n. This concept is frequently tested in SSC CGL.
1. Pipe A can fill a tank in 24 hours and pipe B can fill the same tank in 36 hours. How long will it take to fill the tank if both pipes are opened together?
2. A pipe can fill a tank in 10 hours. Due to a leak at the bottom, the tank now gets filled in 15 hours. In how many hours can the leak empty the full tank?
3. Two pipes A and B can fill a tank in 16 hours and 24 hours respectively. A third pipe C can empty the tank in 48 hours. If all three pipes are opened together, how long will the tank take to fill?
4. A tank is filled by two pipes in 6 hours and 8 hours respectively. Both pipes are opened together, but after 2 hours the faster pipe is closed. In how much more time will the tank be completely filled?
5. Pipe A can fill a tank in 18 hours and pipe B can empty it in 27 hours. If both pipes are opened together, how long will it take to fill the tank?
Expert Tip for Exam Preparation: In Pipes and Cisterns questions, always assume the tank capacity as LCM of given times. This simplifies calculations and avoids fractions. For smart study for exam, remember that filling pipes add work while emptying pipes (leaks or outlets) subtract work. Practising these concepts regularly can easily fetch you 1–2 sure marks in SSC CGL.
1. A pipe can fill a tank in 12 hours, while another pipe can empty it in 18 hours. If both pipes are opened together, in how many hours will the tank be filled?
2. Pipe A can fill a tank in 20 hours and pipe B can fill the same tank in 30 hours. How long will it take to fill the tank if both pipes work together?
3. A pipe can fill a tank in 15 hours. Due to a leak, it takes 20 hours to fill the tank. In how many hours can the leak empty the full tank?
4. Two pipes A and B can fill a tank in 10 hours and 15 hours respectively. A third pipe C can empty the full tank in 30 hours. If all three pipes are opened together, how long will the tank take to fill?
5. A tank is filled by two pipes in 8 hours and 12 hours respectively. If both pipes are opened together but one pipe is closed after 3 hours, the tank is filled completely in 9 hours. Which pipe was closed after 3 hours?
Expert Tip for Exam Preparation: In Pipes and Cisterns questions, always convert hours into work per hour first. This approach reduces errors and speeds up calculations. For effective study for exam, remember that a leak or outlet is treated as negative work. Most SSC CGL mistakes happen when students forget to subtract the emptying rate.
1. What will be the compound interest on ₹10,000 at 10% per annum for 1 year, compounded half-yearly?
2. A sum of money amounts to ₹12,100 in 1 year when compounded half-yearly at 10% per annum. What is the principal?
3. The difference between compound interest (compounded half-yearly) and simple interest on a sum for 1 year at 8% per annum is ₹64. What is the principal?
4. What will be the compound interest on ₹8000 at 12% per annum for 6 months, compounded half-yearly?
5. At what rate per annum will ₹5000 amount to ₹5512.50 in 1 year when interest is compounded half-yearly?
Expert Note for Exam Preparation: In half-yearly CI questions, always remember to halve the rate and double the time. This shortcut saves valuable seconds during the exam. For effective study for exam, practice identifying whether interest is annual, half-yearly, or quarterly before applying formulas. Most SSC CGL mistakes happen due to ignoring the compounding period, not due to calculation errors.
1. The difference between compound interest and simple interest on a sum for 2 years at 10% per annum is ₹200. What is the principal?
2. The simple interest on a sum of money for 3 years at 8% per annum is ₹2400. What is the principal?
3. What will be the compound interest on ₹10,000 at 10% per annum for 2 years?
4. The compound interest on a sum for 2 years at 5% per annum is ₹525. What is the principal?
5. What will be the simple interest on ₹15,000 at 12% per annum for 2½ years?
Q1. For 2 years: CI − SI = P × (R/100)² = P × (10/100)² = P × 1/100 ⇒ P = 200 × 100 = ₹20,000
Q2. SI = (P × R × T) / 100 ⇒ 2400 = (P × 8 × 3) / 100 ⇒ P = ₹10,000
Q3. CI for 2 years = P × (R/100) × (2 + R/100) = 10000 × 0.10 × 2.10 = ₹2100
Q4. CI for 2 years = P × (R/100)² ⇒ 525 = P × (5/100)² = P × 1/400 ⇒ P = ₹10,000
Q5. SI = (P × R × T) / 100 = (15000 × 12 × 2.5) / 100 = ₹4500
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%
This free Aptitude MCQ PDF is a compiled practice resource containing aptitude questions published on the GoPract Aptitude page between 31 December 2025 and 15 January 2026. It is designed to support learners with structured practice and self-assessment.
The questions focus on commonly tested aptitude concepts, including quantitative ability and numerical aptitude. This PDF is intended for educational and practice purposes only and should be used as a supplementary learning resource.
Disclaimer: This PDF is provided for educational and self-practice purposes only. The questions and answers are indicative and may contain errors or omissions. GoPract does not claim accuracy, completeness, or alignment with any official examination. Users are advised to refer to official sources for final confirmation.
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