HCF&LCM S3 HW 1

Kamal has 8 cans of regular soda and 14 cans of diet soda. He wants to create some identical refreshment tables that will not have any sodas left over. What is the greatest number of refreshment tables that Kamal can stock? 

• 2
• 7
• 5
• 3

What is the smallest number, which is divisible by 18, 24 and 32? 

• 288
• 192
• 360
• 216

The length, breadth and height of a room are 300 cm, 150 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room without any remainders. 

• 600 cm
• 150 cm

• 400 cm
• 450 cm

What is the greatest number that divides 90 and 120 without leaving any remainder? 

• 20
• 40
• 50
• 30

Two cloths are 12 m and 15 m long. The cloths are to be cut into pieces of equal length. Find the maximum length of each piece

• 4
• 5
• 6
• 3

Two boys start jogging together on a track with distances of 60m and 75m. What is the minimum distance that needs to be covered by both so that they meet again at the start?

• 180
• 225
• 300
• 120

Tanmay has 24 blue marbles and 32 red ones. If he wants to place them in identical groups without any left, what is the greatest number of groups Tanmay can make? 

• 12
• 8
• 6
• 10

What is the largest number that divides 56 and 72 without leaving any remainder?

• 8

• 12

• 16

• 24

Alice has 36 chocolates and 48 candies. If she wants to distribute them equally in bags without any leftovers, what is the greatest number of bags she can use?

• 6

• 8

• 12

• 10

If a number is divisible by 9, 12, and 15, what is the smallest possible value of that number?

• 180

• 270

• 360

• 450