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

Question : 1

A milk vendor has 21 litres of cow milk, 42 litres of toned milk and 63 litres of double toned milk. If he wants to pack them in cans so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required is

a) 12

b) 6

c) 3

d) 9

Question : 2

In a school, 391 boys and 323 girls have been divided into the largest possible equal classes, so that each class of boys numbers the same as each class of girls. What is the number of classes ?

a) 17

b) 19

c) 23

d) 44

Question : 3

The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is

a) 305

b) 133

c) 127

d) 235

Question : 4

Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then, sum of the digits in N is :

a) 8

b) 5

c) 4

d) 6

Question : 5

84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topicwise. How many books will be there in each stack so that each stack will have the same height too ?

a) 21

b) 18

c) 12

d) 6

Question : 6

H.C.F of $2/3,4/5$and $6/7$ is

a) $24/105$

b) $2/105$

c) $48/105$

d) $1/105$