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(IT) Entrance Test (Sample)  \nName: Roll Number:  \nTotal Time :-2 Hours Questions: 100 MCQs Total Marks :-200  \nSECTION-A MATHEMATICS QUESTIONS  \n1. Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?  \na. 9/25 b. 9/50 c. 18/25 d. None of these  \n2. Two dice are tossed simultaneously. Find the probability that the total is a prime number.  \na. 7/9 b. 5/12 c. 1/6 d. 5/9  \n3. A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked.  \na. 1/50 b. 3/25 c. 21/46 d. 25/122  \n4. A dice is rolled twice. What is the probability of getting sum 9?  \na. 2/3 b. 1/3 c. 1/9 d. 3/9  \n5. A box has 10 black and 10 white balls. What is the probability of getting two balls ofthe same color?  \na. 10/19 b. 9/38 c. 9/19 d. 5/38  \n6. Three coins are tossed. What is the probability of getting at most two tails?  \na. 7/8 b. 1/8 c. 2/8 d. 4/8  \n7. What will be total cost of polishing curved surface of a wooden cylinder at rate of $ 20 per sq.m, if it has 40 cm diameter and 7m height?  \na. $ 480 b. $ 384 c. $ 352 d. $ 176  \n8. In a class, there are 200 students, at least 140 of students like Maths, at least 150 like Science and at least 160 like English. What is the minimum number of students who like all three subjects?  \na. 50 b. 83 c. 100 d. 150  \nDirections for questions 9-11:  \nIn a music school, three instruments are taught: Tabla, Violin and Guitar. Out of 278 students in the school, 20 learn Tabla and Violin, 23 learn Violin and Guitar and 21 learn Tabla and Guitar. 9 students learn all three instruments.  \nIt is known that equal number of seats in all three instruments classes. (If a student is learning Guitar as well Tabla, then he occupies two seats: one in Tabla Class and one in Guitar Class)  \n9. Determine the number of students who have occupied only one seat.  \na. 232 b. 200 c. 197 d. 234  \n10. Determine the number of students who have occupied seats in Violin or Guitar class but not in Tabla Class.  \na. 160 b. 153 c. 175 d. 167  \n11. Determine the number of students who have occupied seats in Tabla and Violin Class but not in Guitar Class.  \na. 9 b. 11 c. 13 d. 7  \n12. Pipe A can fill a tank 5 times faster than Pipe B and takes 32 minutes less than Pipe B to fill the tank. If both the pipes are opened together, then in how much time the tank would be full?  \na. 32/3 minutes b. 32/5 minutes c. 20/3 minutes d. 5/32 minutes  \n13. Two pipes M and N can fill a tank in 22.5 and 15 minutes, respectively. If both the pipes are opened simultaneously, after how much time should N be closed so that the tank is full in 18 minutes?  \na. 4 minutes b. 3 minutes c. 4.5 minutes d. 2.5 minutes  \n14. Two pipes M and N are opened together to fill a tank. Both the pipes fill the tank in time X minutes. When M alone is filling the tank, it takes 9 minutes more time than X to fill the tank. Ina similar manner N takes 16 minutes more time than X to fill the tank. What is the value of X?  \na. 12 minutes b. 7 minutes c. 25 minutes d. 144 minutes  \n15. Pipe P can fill a tank in 38 hours. Pipe Q alone can fill it in 19 hours. Pipe R can empty the full tank in 133 hours. If all the pipes are opened together, how much time will be needed to make the tank full?  \na. 28 hours b. 95 hours c. 19 hours d. 14 hours  \n16. Two pipes M and N can fill a pool in 40 minutes and 60 minutes, respectively. The entire pool can completely be emptied by another pipe P in 30 minutes. M, N and P are opened alternatively and each is kept open for just 1 minute. In how much time will the pool be filled?  \na. 180 minutes b. 167 minutes c. 177 minutes d. 165 minutes  \n17. The present ages of Aman and Nina are 59 and 37 years, respectively. What was the ratio of the ages of Nina and Aman 13 years ago?  \na. 3:2 b. 46:25 c. 12:23 d. 8:3  \n18. Rohan is as much younger than Ajay as he is older than Mee","cbCail0suuhEl6iv","https://ap.wps.com/l/cbCail0suuhEl6iv","pdf",456234,15,"English","# SECTION-A MATHEMATICS QUESTIONS","[{\"question\":\"What types of questions are included in Section-A?\",\"answer\":\"Section-A focuses on Mathematics with probability, time-and-work (pipes), age ratios, and mixture/profit-loss problems presented as MCQs.\"},{\"question\":\"How are the probability questions framed?\",\"answer\":\"They commonly describe random selections such as drawing from mixed tickets, rolling dice, or tossing coins, and ask for the probability of meeting a condition.\"},{\"question\":\"What does the instructions section for questions 9–11 involve?\",\"answer\":\"It describes three instrument classes (Tabla, Violin, Guitar) and seat overlap rules, then asks for counts in categories such as only one seat, or specific class combinations.\"}]","B.Sc.(IT) Entrance Test - Sample Paper - Mathematics Questions | PDF",38]