1.REAL NUMBER

1. Find the largest number which divides 245 and 1029 leaving remainder 5 in each case.
2. Find the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively.
3. Find the largest number which divides 615 and 963 leaving remainder 6 in each case.
4. The length, breadth and height of a room are 8m 25cm, 6m75cm and 4m50cm, respectively. Determine the longest rod which can measure the three dimensions of the room exactly.
5. In a seminar, the number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively. Find the minimum number of rooms required if in each room the same numbers of participants are to be seated and all of them being in the same subject.
6. There is a circular path around a sports field. Priya takes18 minutes to drive one round of the field, while Ravish takes 12 minutes for the same. Suppose they both start at the same point and at same time, and go in the same direction. After how many minutes will they meet again at the starting point?