EASY
10th CBSE
IMPORTANT
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Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5 and 6, respectively.

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Important Questions on Real Numbers

EASY
10th CBSE
IMPORTANT
Find the greatest number which divides 2011 and 2623 leaving remainders 9 and 5, respectively. 
MEDIUM
10th CBSE
IMPORTANT
Using Euclid's division algorithm, find the largest number that divides 1251,9377 and 15628 leaving remainders 1,2 and 3 respectively.
EASY
10th CBSE
IMPORTANT
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? Write the sum of total number of boxes as final answer.
MEDIUM
10th CBSE
IMPORTANT
A mason has to fit a bathroom with square marble tiles of the largest possible size. The size of the bathroom is 10 ft. by 8 ft. How many tiles are required if the size in inches of the tile required has to be cut? 
HARD
10th CBSE
IMPORTANT
15 pastries and 12 biscuit packets have been donated for a school feast. These are to be packed in several smaller identical boxes with the same number of pastries and biscuit packets in each. How many biscuit packets and how many pastries packets will each box contain? Find the total number of each type of packets in one box.
MEDIUM
10th CBSE
IMPORTANT
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?
EASY
10th CBSE
IMPORTANT
The length, breadth, and height of a room are 8 m 25 cm, 6 m 75 cm, and 4 m 50 cm, respectively. The longest rod which can measure the three dimensions of the room exactly is K cm. Find the value of K.
MEDIUM
10th CBSE
IMPORTANT
Express the HCF of 468 and 222 as 468x+222y where x, y are integers in two different ways, and find the value of x+y.