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Mathematics section includes timed multiple-choice questions across work-and-efficiency, geometry and volume displacement, divisibility, HCF, time and bells, percent change, population growth, set-based counting, averages, number patterns, speed and distance, trigonometry, combinatorics, permutations of travel routes, and simple interest. 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Amit takes 20 days to complete a certain work. Amit started the work and Suraj joined him 4 days before the work was completed. Find out the number of days for which Amit worked alone if Suraj’s efficiency is 25% more than that ofAmit’s.  \na. 10 days b. 8 days d. 12 days d. 11 days  \n2. A steel vessel has a base of length 60 cm and breadth 30 cm. Water is poured in the vessel. A cubical steel box having edge of 30 cm is immersed completely in the vessel. How much will the water rise?  \na. 7.5 cm rise b. 10 cm rise c. 15 cm rise d. 30 cm rise  \n3. Find the largest number of 4-digits divisible by 12, 15 and 18.  \na. 9900 b. 9750 c. 9450 d. 9000  \n4. Find H.C.F. of 0.63 and 1.05  \na. 0.21 b. 0.28 c. 0.56 d. 0.84  \n5. 5 bells commence tolling together and toll at intervals 2, 4, 6, 8 and 10 seconds respectively. Find in 40 minutes, how many times do they toll together?  \na. 8 times b. 19 times c. 21 times d. 30 times  \n6. A can finish the work in 16 days while B can finish the work in 8 days. After A started the work alone, B joined him after 4 days. Find out the total Time taken to finish the work.  \na. 4 days b. 8 days d. 6 days d. 14 days  \n7. The price of milk was first increased by 10% and then decreased by 20% . What is the net percentage change in final price of milk?  \na. 12% b. 15% c. 10% d. 7.5%  \n8. The population of a city is 50,000 at present. It increases at the rate of 10% per annum. What will be its population 3 yr from now?  \na. 67,250 b. 65,550 c. 60,500 d. 66,550  \n9. A cylinder having radius 1 m and height 5 m, is completely filled with wine. In how many conical flasks can this wine be filled into if the flask radius and height is 50 cm each?  \na. 50 b. 500 c. 120 d. 160 c  \nDirections for questions 10-12:  \nIn a class of 150 students, none of the students opted for only cricket. None of the students opted for only Hockey and Football. 60 students opted for cricket or hockey or both. Also, all 150 students opted for at least one of these 3 games  \n10. What is the total number of students who opted for only football?  \na. 40 b. 80 d. 90 d. Cannot be determined  \n11. What is the total number of students who opted for hockey?  \na. 100 b. 60 d. 50 d. cannot be determined  \n12. What is the number of people who opted for only cricket and only Football?  \na. 15 b. 30 d. 90 d. cannot be determined  \n13. A group of 80 people play atleast one of the games-carrom, snooker and TT. 40 play carrom, 50 play snooker and 35 play TT.  \nIf 14 people play both Carrom and Snooker, 20 people play both Snooker and TT and 12 people play both TT and carrom, find the ratio of the number of people who play carrom only to the number who play only TT?  \na. 17:4 b. 13:1 d. 15:4 d. 10:1  \n14. The average of 15 numbers is 15. If the average of first five numbers is 14 and that of other 9 numbers is 16, then find the middle number.  \na. 12 b. 11 c. 10 d. 9  \n15. The average of four consecutive even numbers is 27. Find the largest of these numbers.  \na. 28 b. 30 c. 32 d. 34  \n16. If the price of a sugar is raised by 25%, then by how much per cent should a person reduce his consumption of sugar, so that his expenditure remains same?  \na. 25% b. 50% c. 20% d. 12.5%  \n17. The population of a city is 50,000 at present. It increases at the rate of 10% per annum. What was its population 4 years ago from present?  \na. 36, 561 b. 35, 450 c. 34,151 d. 33,333  \n18. The price of apple is first increased by 10% and then decreased by 10% . What is the change in the price of apple?  \na. 1. 11% b. 3.5% c. 5% d. 1%  \n19. In an election which contested was contested by 2 candidates, one candidate got 40% of total votes and yet lost by 1000 votes. What is the total number of votes casted in the election?  \na. 10000 b. 6000 c. 8000 d. 5000  \n20. A boy increases his speed to 9/5 ","cbCaipXQDUp9NSvY","https://ap.wps.com/l/cbCaipXQDUp9NSvY","pdf",726386,"English","# SECTION-A: MATHEMATICS QUESTIONS\n## Quantitative reasoning MCQs\n# SECTION-B: ENGLISH QUESTIONS\n## Reading Comprehension Question 31-39","[{\"question\":\"What sections are included in the International Foundation Studies Entrance Test sample paper?\",\"answer\":\"The paper contains SECTION-A for Mathematics questions and SECTION-B for English questions, starting with Reading Comprehension (Questions 31-39).\"},{\"question\":\"What types of Mathematics problems are practiced in Section-A?\",\"answer\":\"Section-A includes MCQs on topics such as work-efficiency, geometry and water rise, HCF/divisibility, time problems, percentage change, population growth, averages, trigonometry, and combinatorics.\"},{\"question\":\"How does the English part of the sample paper assess students?\",\"answer\":\"The English section uses reading comprehension questions based on a provided passage, beginning with “The Battle of Chancellorsville.”\"}]","International Foundation Studies Entrance Test - Sample Paper - Mathematics & English | PDF",23]