【题目】(2011 National Mathematical Olympiad of Singapore,Preliminary Round,Question#22)T oday is 29th of June.Some people use 296to represent this date while others use 629.Written either way,the represented date is clear.We call such a date as a definite date.On the other hand,17 is ...
【题目】(2012 National Mathematical Olympiad of Singapore, Special Round, Question #12)When each of the numbers 2012 and 1274 isdivided by an odd number D, they give the same remainder R. Find the largest possible value of D-R. 相关知识点: 试题来源: ...
【题目】(2010 National Mathematical Olympiad of Singapore,Special Round,Question #19)A,B and C are letters that represent different odd digits such that ABC is a 3-digit number.If ABC is a multiple of A,B and C,how many different 3-digit numbers ABC are there?
(SG 2023 National Mathematical Olympiad of Singapore, First Round, Question #15) John drove his car from his home to his friend's house at an average speed of 90 kilometers per hour. On his return journey from his friend's house back tohis own house, the car's average speed was 60 ...
(2017 National Mathematical Olympiad of Singapore, Special Round, Question #19) 5 students A, B, C, D and E went to visit their form teacher Ms Fan on Teachers' Day. Before that, they were trying to guess the 3−digit block number of Ms Fan's place and made the following ...
(2011 National Mathematical Olympiad of Singapore, Preliminary Round, Question #26)A, B, C, D, A+C, B+C, A+D and B+D represent different numbers from 1 to 8. If A is the largest number among A, B, C and D, find the value of A-B....
a, b, c and d are four distinct positive integers such that the product of any two of them is a multiple of 12. Find the least possible value of a+b+c+d.相关知识点: 试题来源: 解析 38. Note that 12=2×2×3. Thus, a, b, c and d have to be multiples of 2 and/or 3. ...
1(2007 National Mathematical Olympiad of Singapore, Preliminary Round, Question #20)A test consists of 80 questions. 4 marks are awarded to each correct answer and 2 marks are deducted for each wrong answer. Jay answered all the questions and scored a total of 152 marks for the test. How ...
(2017 National Mathematical Olympiad of Singapore, Preliminary Round, Question #11) Peter left home at 06:00 to walk to school. After reaching school, he spent 4 hours 30 minutes in school and then he walked back home. He reached home at 12:00 noon for lunch. If Peter walks to school...
1【题目】(2010 National Mathematical Olympiad of Singapore,Special Round, Question #12)We define the ending zeroes of an integer as the number of zeroes at the end of the integer. For example, 2010 has one ending zero whereas 10010000 has four ending zeroes. How many ending zeroes are there...