Question

EXERCISE 2.8
1. Find the largest number which divides 615 and 963 leaving remainder 6 in each case.
2. Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.
3. What is the largest number that divides 626, 3127 and 15628 and leaves remainders of 1, 2
and 3 respectively?
4. The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm,
respectively. Determine the longest rod which can measure the three dimensions of the room
exactly.
5. A rectangular courtyard is 20 m 16 cm long and 15 m 60 cm broad. It is to be paved with
square stones of the same size. Find the least possible number of such stones.
6. Determine the longest tape which can be used to measure exactly the lengths 7 m, 3 m 85 cm
and 12 m 95 cm.
7. 105 goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat
which will have to make many trips in order to do so. The lazy boatman has his own conditions
for transporting them. He insists that he will take the same number of animals in every trip and
they have to be of the same kind. He will naturally like to take the largest possible number
each time. Can you tell how many animals went in each trip?
8. Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an
equal number of chocolates of both kinds, what is the least number of boxes of each kind I
would need to buy?
9. During a sale, colour pencils were being sold in packs of 24 each and crayons in packs of 32
each. If you want full packs of both and the same number of pencils and crayons, how many of
each would you need to buy?
10. Reduce each of the following fractions to the lowest terms:
161
296
(0)
(ii)
207
481
1. A merchant has 120 litres of oil of one kind, 180 litres of another kind and 240 litres of thir
Kind a
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Answer 1

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Step-by-step explanation:

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Answer 2

Answer:

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