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: 17 Mar 2026
1. What is the HCF of 36 and 48?
2. What is the LCM of 12 and 15?
3. The HCF of two numbers is 8 and their LCM is 96. If one number is 24, what is the other number?
4. Find the LCM of 8, 12, and 20.
5. The HCF of 24, 36, and 60 is:
Easy Preparation Tip (LCM & HCF): Remember the key relation: Product of two numbers = LCM × HCF. Use prime factorization to quickly find LCM and HCF. In SSC exams, many questions can be solved faster by breaking numbers into their prime factors.
1. A and B start a business with investments of ₹40,000 and ₹60,000 respectively. What is the ratio of their profits at the end of the year?
2. A invests ₹30,000 for a year. B invests ₹20,000 for 6 months. What is the ratio of their profits?
3. A and B invest in the ratio 5 : 7. If the total profit is ₹36,000, what is B’s share?
4. A invests ₹10,000 and B invests ₹15,000 in a business. After one year, they earn a profit of ₹5,000. What is A’s share of the profit?
5. A and B invest ₹50,000 and ₹30,000 respectively. If the total profit is ₹16,000, what is A’s share?
Easy Preparation Tip (Partnership): Profit sharing depends on both **investment and time**. Always calculate: Capital × Time for each partner. Then divide profits in that ratio. Many SSC questions become very simple once you convert investments into **capital-months or capital-years**.
Study the following table showing the number of students enrolled in different courses in a coaching institute.
1. Which course has the highest number of students?
2. What is the total number of students enrolled in all courses?
3. How many more students are enrolled in Defence compared to Railway?
4. What percentage of the total students are enrolled in SSC CGL? (approx.)
5. Which two courses together have exactly 390 students?
Easy Preparation Tip (Data Interpretation): Always read the table carefully before solving questions. Start with simple questions like totals or differences. Use approximation for percentage questions to save time. In SSC exams, DI questions are usually calculation-based rather than concept-heavy.
1. What is the area of a rectangle whose length is 12 cm and breadth is 8 cm?
2. The perimeter of a square is 48 cm. What is the length of one side?
3. What is the area of a triangle with base 14 cm and height 10 cm?
4. A circle has a radius of 7 cm. What is its area? (Use π = 22/7)
5. The length of a rectangle is twice its breadth. If the breadth is 6 cm, what is the perimeter of the rectangle?
Easy Preparation Tip (Mensuration – 2D Figures): Memorize these key formulas for SSC exams: Area of Rectangle = Length × Breadth, Area of Triangle = ½ × Base × Height, Area of Circle = πr², Perimeter of Rectangle = 2(L + B), Perimeter of Square = 4 × Side. Most SSC CGL questions are direct applications of these formulas.
1. What is the circumference of a circle with radius 7 cm? (Use π = 22/7)
2. What is the area of a circle with radius 14 cm? (Use π = 22/7)
3. If the diameter of a circle is 20 cm, what is its radius?
4. The circumference of a circle is 44 cm. What is the radius of the circle? (Use π = 22/7)
5. What is the diameter of a circle whose radius is 9 cm?
Easy Preparation Tip (Circles): Remember these basic formulas: Circumference = 2πr and Area = πr². Also recall that diameter = 2 × radius. In SSC exams, π is usually taken as 22/7 or 3.14, so check the question carefully.
1. What is the sum of the interior angles of a triangle?
2. In a right-angled triangle, if the other two angles are equal, what is the value of each angle?
3. The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?
4. If two angles of a triangle are 50° and 60°, what is the third angle?
5. If the base of a triangle is 10 cm and the height is 6 cm, what is the area of the triangle?
Easy Preparation Tip (Triangles): Remember three important facts for SSC exams: (1) Sum of angles of a triangle = 180°, (2) Area = ½ × base × height, (3) Pythagoras theorem: a² + b² = c² in a right triangle. Many SSC CGL questions are direct applications of these basics.
1. If 3x + 5 = 20, what is the value of x?
2. If 2x − 7 = 9, what is the value of x?
3. If x + y = 10 and x − y = 4, what is the value of x?
4. If 4x = 2x + 12, what is the value of x?
5. If 5x − 10 = 3x + 6, what is the value of x?
Easy Preparation Tip (Algebra – Linear Equations): Always isolate the variable. Move constants to one side and variables to the other. For equations like x + y and x − y, add both equations to eliminate one variable quickly. This technique helps solve many SSC algebra questions in just a few steps.
1. In what ratio must rice costing ₹20 per kg be mixed with rice costing ₹30 per kg so that the mixture costs ₹24 per kg?
2. A mixture contains milk and water in the ratio 5 : 3. If 16 liters of water is added, the ratio becomes 5 : 7. What was the initial quantity of the mixture?
3. A shopkeeper mixes 20 kg of sugar costing ₹40/kg with 30 kg of sugar costing ₹30/kg. What is the cost price of the mixture per kg?
4. In what ratio should water be mixed with milk costing ₹30 per liter to obtain a mixture worth ₹24 per liter?
5. Two varieties of tea costing ₹60/kg and ₹80/kg are mixed to get a mixture worth ₹68/kg. What is the ratio of the two varieties?
Easy Preparation Tip (Mixture & Allegation): Use the **Alligation Rule** for faster calculations. If two items cost A and B and the mean price is M, then the ratio is: (A − M) : (M − B). This shortcut helps solve most SSC CGL mixture questions in seconds.
1. A boat travels 30 km downstream in 3 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
2. The speed of a boat in still water is 12 km/h and the speed of the stream is 3 km/h. What is the downstream speed of the boat?
3. A boat goes 20 km upstream in 5 hours. If the stream speed is 2 km/h, what is the speed of the boat in still water?
4. The speed of a boat in still water is 10 km/h and the speed of the stream is 4 km/h. What is the upstream speed of the boat?
5. A boat travels 24 km downstream in 2 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
Easy Preparation Tip (Boats & Streams): Remember these key formulas: Downstream Speed = Boat Speed + Stream Speed Upstream Speed = Boat Speed − Stream Speed Boat Speed = (Downstream + Upstream) / 2 Stream Speed = (Downstream − Upstream) / 2. Many SSC CGL questions can be solved quickly using these relationships.
1. A car travels 120 km in 2 hours. What is its average speed?
2. A train moving at 72 km/h crosses a pole in 10 seconds. What is the length of the train?
3. A man travels 30 km at a speed of 10 km/h and returns at a speed of 15 km/h. What is his average speed for the whole journey?
4. A person walks at 5 km/h. How much distance will he cover in 36 minutes?
5. Two trains are moving in opposite directions with speeds 40 km/h and 50 km/h. If the length of each train is 200 m, how long will they take to cross each other?
Easy Preparation Tip (Time, Speed & Distance): Remember the core formula: Distance = Speed × Time. Convert speeds properly: 1 km/h = 5/18 m/s. For train problems, distance = length of train or sum of train lengths. Most SSC questions can be solved quickly by converting speed into m/s first.
1. A can complete a work in 12 days and B can complete it in 18 days. In how many days can they complete the work together?
2. A alone can finish a work in 15 days. B alone can finish it in 10 days. If they work together, in how many days will the work be completed?
3. If 6 men can complete a work in 12 days, how many days will 8 men take to complete the same work (assuming equal efficiency)?
4. A can complete a work in 20 days and B can complete it in 30 days. If both start together, after how many days will half of the work be completed?
5. A can complete a work in 16 days. After working for 4 days, he leaves the work. What fraction of the work remains?
Easy Preparation Tip (Time and Work): Use the efficiency concept. If A completes a work in 12 days, his one-day work is 1/12. When people work together, add their efficiencies. Example: A + B = 1/12 + 1/18. This method is the fastest way to solve most SSC CGL Time & Work problems.
1. The average of 5 numbers is 32. If one number is removed, the average becomes 30. What is the removed number?
2. The average age of 8 students is 18 years. If the teacher joins them, the average becomes 20 years. What is the teacher’s age?
3. The average of the first 20 natural numbers is:
4. The average of 6 numbers is 25. If one number is replaced by 35 instead of 17, what will be the new average?
5. The average marks of 12 students in a class is 60. If the marks of one student were wrongly taken as 80 instead of 50, what is the correct average?
Easy Preparation Tip (Average): Always remember: Total = Average × Number of values. When a value changes, calculate the difference and divide it by the number of values to adjust the average quickly. Many SSC CGL average questions can be solved using the **difference method** instead of recalculating totals.
1. Find the compound interest on ₹2000 at 10% per annum for 2 years.
2. A sum of ₹5000 amounts to ₹6050 in 2 years at compound interest. What is the rate of interest per annum?
3. What will be the amount if ₹4000 is invested at 5% compound interest per annum for 2 years?
4. The compound interest on a sum for 2 years at 10% per annum is ₹210. What is the principal?
5. What is the difference between compound interest and simple interest on ₹1000 for 2 years at 10% per annum?
Easy Preparation Tip (Compound Interest): Use the formula: Amount = P(1 + R/100)T. For 2 years, remember the shortcut difference between CI and SI: Difference = P × (R/100)2. This shortcut frequently appears in SSC CGL questions and saves valuable exam time.
1. What will be the simple interest on ₹5000 at 8% per annum for 3 years?
2. A sum of ₹4000 amounts to ₹5200 in 5 years at simple interest. What is the rate of interest per annum?
3. If the simple interest on ₹2000 for 4 years is ₹640, what is the rate of interest?
4. In how many years will ₹3000 earn a simple interest of ₹900 at 10% per annum?
5. What principal will amount to ₹880 in 2 years at 10% simple interest?
Easy Preparation Tip (Simple Interest): Always remember the basic formula: SI = (P × R × T) / 100. Where P = Principal, R = Rate, T = Time. In SSC exams, try rearranging the formula quickly to find missing values like P, R, or T instead of solving step-by-step. Practicing mental multiplication helps solve SI questions faster.
1. A shopkeeper buys an article for ₹800 and sells it for ₹920. What is the profit percentage?
2. An article is sold for ₹450 at a loss of 10%. What was the cost price?
3. A trader marks his goods 20% above the cost price and allows a discount of 10%. What is the overall profit or loss percentage?
4. A shopkeeper sold an item for ₹600 making a profit of 20%. What was the cost price?
5. A person buys a bicycle for ₹2,400 and spends ₹200 on repairs. If he sells it for ₹3,000, what is the profit?
Easy Preparation Tip (Profit & Loss): Remember the core formulas: Profit = SP − CP and Loss = CP − SP. Profit % = (Profit / CP) × 100. In many SSC questions involving discount and markup, convert percentages into multipliers: +20% = ×1.20 and −10% = ×0.90. This makes calculations much faster in exams.
1. The ratio of two numbers is 3 : 5 and their sum is 64. What is the larger number?
2. If a : b = 4 : 7 and b : c = 3 : 5, what is the ratio a : c?
3. Divide ₹720 in the ratio 5 : 7.
4. The ratio of ages of A and B is 6 : 7. After 5 years, the ratio becomes 7 : 8. What is A’s present age?
5. If x : y = 2 : 3 and y : z = 4 : 5, what is x : y : z?
Easy Preparation Tip (Ratio & Proportion): When combining two ratios like a : b and b : c, make the middle term (b) equal using LCM. This helps quickly find the final ratio a : b : c. Also remember: if a : b = x : y, then a/b = x/y — this concept is frequently used in SSC CGL proportion questions.
1. What is 25% of 480?
2. A number is increased from 200 to 260. What is the percentage increase?
3. If 40% of a number is 80, what is the number?
4. The price of an item is reduced by 20%. If the original price was ₹500, what is the new price?
5. If the population of a town increases from 20,000 to 23,000, what is the percentage increase?
Easy Preparation Tip (Percentage): Convert percentages to fractions for faster calculations: 25% = 1/4, 20% = 1/5, 50% = 1/2, 75% = 3/4. In SSC exams, many percentage questions can be solved quickly by multiplying with these fractions instead of using long formulas.
1. If tan θ = 1, what is the value of θ?
2. The angle of elevation of the top of a tower is 30°. If the height of the tower is 10√3 m, what is the distance of the observer from the tower?
3. If sin 60° + cos 60° = ?
4. A ladder 10 m long is leaning against a wall making an angle of 60° with the ground. What is the height reached on the wall?
5. If cot θ = 1, what is θ?
Easy Preparation Tip (Heights & Distances): Memorize basic trigonometric values: sin 30° = 1/2, cos 60° = 1/2, sin 60° = √3/2, tan 45° = 1. Most SSC CGL questions use only 30°, 45°, and 60°. Draw a small right triangle diagram before solving — visual clarity reduces mistakes.
1. In a triangle, the angles are in the ratio 2 : 3 : 4. What is the measure of the largest angle?
2. The radius of a circle is doubled. By what factor does its area increase?
3. In a right-angled triangle, if the base is 6 cm and height is 8 cm, what is the length of the hypotenuse?
4. What is the circumference of a circle of diameter 14 cm? (Take π = 22/7)
5. If the sides of a triangle are 5 cm, 12 cm and 13 cm, the triangle is:
Easy Preparation Tip (Geometry – Triangles & Circles): Remember key formulas: Sum of angles in triangle = 180°, Area of circle = πr², Circumference = 2πr. Also memorize common Pythagoras triplets like (3,4,5) and (5,12,13). Most SSC CGL geometry questions are formula-based and very scoring.
1. Two dice are thrown together. What is the probability that the sum of numbers is 8?
2. A card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a face card (J, Q, K)?
3. A bag contains 4 red, 5 blue, and 6 green balls. What is the probability of drawing a green ball?
4. If two coins are tossed, what is the probability of getting at least one head?
5. A number is selected at random from the numbers 1 to 20. What is the probability that it is divisible by 4?
Easy Preparation Tip (Probability – Advanced): Always count Total Outcomes first. For “at least one” questions, use the shortcut: P(at least one) = 1 − P(none). In dice and card problems, list combinations carefully. Avoid guesswork—most SSC probability mistakes happen due to counting errors.
1. A car covers a distance of 240 km in 4 hours. What is its average speed?
2. A man travels 60 km at 30 km/h and returns at 60 km/h. What is his average speed for the whole journey?
3. If a person walks at 5 km/h, he reaches his office 10 minutes late. If he walks at 6 km/h, he reaches 5 minutes early. What is the distance to the office?
4. A train covers 450 km in 5 hours. How much distance will it cover in 8 hours at the same speed?
5. Two cars start from the same point in opposite directions. Their speeds are 40 km/h and 60 km/h respectively. After how many hours will they be 300 km apart?
Easy Preparation Tip (Time, Speed & Distance): Always remember the basic formula: Speed = Distance / Time. For average speed in equal distances, use: Average Speed = (2ab) / (a + b). In opposite direction problems, add the speeds. Keeping these three rules clear makes this topic very scoring in SSC CGL.
Boost your apti exam preparation with topic-wise aptitude questions and answers.
1. In what ratio must rice costing ₹40 per kg be mixed with rice costing ₹60 per kg so that the mixture costs ₹50 per kg?
2. A mixture contains milk and water in the ratio 5 : 3. If 16 liters of water is added, the ratio becomes 5 : 7. What was the initial quantity of milk?
3. How many liters of water must be added to 30 liters of milk so that the mixture contains 20% water?
4. Two types of sugar costing ₹30/kg and ₹45/kg are mixed in the ratio 2 : 3. What is the cost price of the mixture per kg?
5. A container has 40 liters of milk. 8 liters of milk is removed and replaced with water. This process is repeated once again. How much milk is left in the container?
Easy Preparation Tip (Mixture & Alligation): For price mixture questions, use the Alligation Rule (cross difference method). It is faster than solving equations. For replacement questions, use the formula: Final Quantity = Initial × (1 − replaced/total)^n. This shortcut saves significant time in SSC CGL exams.
1. The radius of a circle is 14 cm. What is its area? (Take π = 22/7)
2. The length and breadth of a rectangle are 25 m and 16 m respectively. What is the cost of fencing it at ₹12 per meter?
3. The volume of a cube is 1728 cm³. What is the length of its side?
4. A cylinder has radius 7 cm and height 10 cm. What is its volume? (Take π = 22/7)
5. The curved surface area of a cone is 308 cm². If its radius is 7 cm, what is the slant height? (Take π = 22/7)
Easy Preparation Tip (Mensuration): Memorize all basic formulas clearly (Circle, Rectangle, Cube, Cylinder, Cone). Most SSC CGL questions are direct formula-based. Always check whether the question asks for area, perimeter, volume, or surface area. Units are important—square for area, cube for volume.
1. What is the remainder when 7^103 is divided by 6?
2. Find the number of trailing zeros in 100!
3. The least number which when divided by 12, 15, and 20 leaves a remainder of 5 in each case is:
4. What is the unit digit of (13^101)?
5. The HCF of two numbers is 12 and their LCM is 180. If one number is 36, what is the other number?
Easy Preparation Tip (Number System – Advanced): For remainder and unit digit questions, focus on cyclic patterns. For trailing zeros in factorials, count the number of factors of 5. Remember the formula: Product of two numbers = HCF × LCM. Number System questions are logic-based—pattern recognition is more important than heavy calculation.
1. Solve: x² − 7x + 10 = 0
2. Solve: 2x² − 9x + 7 = 0
3. If the product of two numbers is 48 and their sum is 14, what are the numbers?
4. The roots of the equation x² − 5x + 6 = 0 are:
5. For what value of k does the equation x² + kx + 9 = 0 have equal roots?
Easy Preparation Tip (Quadratic Equations): First try to solve by factorization instead of using the formula. It is faster and avoids calculation errors in SSC CGL. For equal roots, remember the condition: Discriminant (b² − 4ac) = 0. Most SSC quadratic questions are direct and quick if concepts are clear.
1. A and B start a business with investments in the ratio 5 : 7. After 6 months, C joins with an investment equal to the average investment of A and B. If the total profit after 1 year is ₹15,600, what is C’s share?
2. A and B invest ₹24,000 and ₹36,000 respectively. A withdraws half of his investment after 4 months. If the total profit after 1 year is ₹12,000, what is B’s share?
3. A, B and C invest in a business in the ratio 4 : 6 : 9. After 5 months, A withdraws his entire investment. If the total profit at the end of the year is ₹19,000, what is B’s share of the profit?
4. A and B enter into a partnership with investments of ₹50,000 and ₹70,000 respectively. After 8 months, B withdraws ₹20,000. If the total profit at the end of 1 year is ₹18,000, what is A’s share?
5. A and B start a business with equal investments. After 3 months, A doubles his investment. If after 1 year the profit is ₹10,500, what is A’s share?
Easy Preparation Tip (Partnership – Advanced): Always calculate Capital × Time for each partner before finding ratios. When investments change mid-way, split the year into phases and compute work for each phase separately. This structured approach avoids confusion and is highly effective for SSC CGL partnership problems.
Study the pie chart carefully. It shows the percentage-wise distribution of monthly expenses of a family.
Total monthly income of the family = ₹40,000
1. How much amount is spent on Food per month?
2. What is the combined expenditure on Education and Transport?
3. Expenditure on House Rent is how much more than expenditure on Transport?
4. If the income increases by 20% and the expense pattern remains the same, what will be the expenditure on Others?
5. What is the ratio of expenditure on Food to Education?
Easy Preparation Tip (Pie Chart DI): Always convert percentages into actual values using the total first. For SSC CGL, most pie chart questions are based on percentage → value → comparison. Keep common values ready in your head (10%, 20%, 25%, 50%) to avoid repeated calculations and save time.
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. At what rate percent per annum will the compound interest on a sum be equal to twice the simple interest for 2 years?
3. The simple interest on a sum for 2 years at 10% per annum is ₹400. What is the compound interest on the same sum at the same rate for 2 years?
4. A sum of money amounts to ₹12,100 in 2 years and ₹13,310 in 3 years at compound interest. What is the rate of interest per annum?
5. What will be the difference between compound interest and simple interest on ₹10,000 for 2 years at 12% per annum?
Easy Preparation Tip (CI vs SI): For 2-year questions, always remember the shortcut: CI − SI = P × (R/100)². This formula alone can solve most SSC CGL CI–SI comparison questions in seconds. Also, compare amounts of consecutive years to find the rate quickly in advanced problems.
1. Pipe A can fill a tank in 12 hours and pipe B can fill it in 18 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 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 20 hours and 30 hours respectively. Pipe C can empty the full tank in 15 hours. If all three pipes are opened together, how long will it take to fill the tank?
4. Pipe A fills a tank in 8 hours and pipe B empties it in 12 hours. If both are opened together, in how many hours will the tank be filled?
5. Pipe A can fill a tank in 6 hours, pipe B in 8 hours, and pipe C can empty it in 12 hours. If all the pipes are opened together, how long will it take to fill the tank?
Easy Preparation Tip (Pipes & Cisterns): Treat filling as positive work and emptying as negative work. Convert “hours to fill/empty” into work per hour first, then add or subtract. Assuming the total work as the LCM of given times helps avoid fractions and speeds up SSC CGL calculations.
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