HCF and LCM of Numbers

Q1: When-all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed? 

Q2: There are some parrots and some tigers in a forest. If the total number of animal heads in the forest is 858 and the total number of animal legs is 1,846, what is the number of parrots in the forest? 

Q3: Rubina could get equal number of Rs. 55, Rs. 85 and Rs. 105 tickets for a movie. She spends Rs. 2,940 for all the tickets. How many of each did she buy? 

Q4: Five persons fire bullets at a target at an interval of 6, 7, 8, 9 and 12 seconds respectively. The number of times they would fire the bullets together at the target in an hour is 

Q5: Four metal rods of lengths 78 cm, 104 cm, 117cm and 169cm are to be cut into parts of equal length, Each part must be as long as possible. What is the maximum number of pieces that can be cut? 

Q6: Three men start together to travel the same way around a circular track of 11 km. Their speeds are 4, 5.5 and 8 kmph respectively. When will they meet at the starting point for the first time? 

Q7: There are four routes to travel from city A to city B and six routes from city B to city C. How many routes are possible to travel from the city A to city C ?

Q8: Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

Q9: Three bells toll at intervals of 9, 12 and 15 minutes respectively. All the three begin to toll at 8 a.m. At what time will they first toll together again?

Q10: A person has to completely put each of three liquids: 403 litres of petrol, 465 litres of diesel, and 496 litres of Mobil Oil in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completed filled. What is the least possible number of bottles required?