1. The problem is to generate 30 tough arithmetic questions suitable for SSC CGL Tier 2 level. 2. Arithmetic problems typically involve operations like addition, subtraction, multiplication, division, percentages, ratios, averages, time and work, time and distance, profit and loss, simple and compound interest, and mixtures. 3. Here are 30 challenging arithmetic questions: 1) If the sum of three consecutive even numbers is 72, find the numbers. 2) A train 120 m long passes a pole in 12 seconds. Find the speed of the train in km/h. 3) A man can row 12 km downstream in 3 hours and 8 km upstream in 4 hours. Find the speed of the man in still water. 4) The ratio of ages of two persons is 5:7 and the sum of their ages is 96. Find their ages. 5) A shopkeeper sells an article at 20% profit. If the cost price is 500, find the selling price. 6) Find the compound interest on 10000 for 2 years at 10% per annum compounded annually. 7) A can do a piece of work in 12 days, B in 15 days. How long will they take to do the work together? 8) The average of 5 numbers is 20. If one number is excluded, the average becomes 18. Find the excluded number. 9) A sum of money doubles itself in 5 years at simple interest. Find the rate of interest. 10) A bag contains 5 red, 7 green and 8 blue balls. If a ball is drawn at random, find the probability that it is green. 11) The price of sugar rises by 20%. How much sugar must be bought for 240 to keep the expenditure unchanged? 12) A man borrows 15000 at 12% per annum simple interest. Find the amount to be paid after 3 years. 13) The ratio of the present ages of A and B is 3:4. After 5 years, the ratio will be 4:5. Find their present ages. 14) A boat goes 30 km upstream and 40 km downstream in 7 hours. The speed of the stream is 2 km/h. Find the speed of the boat in still water. 15) Find the LCM of 12, 15 and 20. 16) A sum of money is divided among A, B and C in the ratio 2:3:5. If the total sum is 10000, find the share of each. 17) A shopkeeper gives 10% discount on the marked price. If the marked price is 500, find the selling price. 18) The difference between the simple interest and compound interest on a sum of money for 2 years at 10% per annum is 50. Find the principal. 19) A man travels 60 km at a certain speed and returns at a speed 5 km/h less. If the total time is 5 hours, find the speed. 20) The sum of the first 20 natural numbers is? 21) A container has 40 liters of milk and water in the ratio 3:1. How much water must be added to make the ratio 3:2? 22) A shopkeeper sells an article at 15% loss. If the selling price is 850, find the cost price. 23) The population of a town increases by 10% annually. Find the population after 2 years if the present population is 5000. 24) A man can do a piece of work in 10 days. He works for 4 days and then 2 more men join him. How long will it take to finish the work? 25) Find the HCF of 48 and 60. 26) A sum of money amounts to 12100 in 2 years at 10% per annum compound interest. Find the principal. 27) A train 150 m long is running at 54 km/h. How long will it take to pass a man standing on the platform? 28) The ratio of the length and breadth of a rectangle is 5:3. If the perimeter is 64 cm, find the area. 29) A man invests 10000 in a scheme that offers 8% compound interest compounded annually. Find the amount after 3 years. 30) A bag contains 3 white, 4 black and 5 red balls. Two balls are drawn at random. Find the probability that both are black.