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: 03 Mar 2026
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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