27. Find the greatest number that will divide 445.572 and 699. leaving remainders 4.5.6
respectively .
28. Reduce each of the following fractions to the lowest terms:
161
517
296
207
799
29. Three pieces of timber. 42-m. 49-m and 63-m long have to be divided into planks of the
same length. What is the greatest possible length of each plank?
30. Three different containers contain 403 L. 434 L and 465 L of milk respectively. Find the capacity
of a container which can measure the milk of all the containers in an exact number of times
31. There are 527 apples. 646 pears and 748 oranges. These are to be arranged in heaps
containing the same number of fruits. Find the greatest number of fruits possible in each
heap. How many heaps are formed?
32. Determine the longest tape which can be used to measure exactly the lengths 7m.
3 m 85 cm and 12 m 95 cm.
Hint. Concert all the lengths to cm and then take the HCF.
33. A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with
square tiles of the same size. Find the least possible number of such tiles.
34. Find the HCP of
(1) two consecutive numbers
liv) 2 and an even number
(iii) two co-primes
(i) two prime numbers
PLE (LCM) The lowest common multiple of two or more numbers is the
the numbers.
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