model 3 find hcf of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :

a) 32

b) 16

c) 8

d) 24

Question : 2

Three sets of English, Mathematics and Science books containing 336, 240, 96 books respectively have to be stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. Total number of stacks will be

a) 48

b) 21

c) 14

d) 22

Question : 3

Find the greatest number which will exactly divide 200 and 320.

a) 40

b) 20

c) 10

d) 16

Question : 4

The largest number, which divides 25, 73 and 97 to leave the same remainder in each case, is

a) 6

b) 23

c) 24

d) 21

Question : 5

A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively

a) 46 and 75

b) 9 and 380

c) 15 and 228

d) 45 and 76

Question : 6

Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be

a) 0.41 metre

b) 0.4 metre

c) 0.13 metre

d) 0.3 metre