Question

1. Pawan wants to plant 48 onion plants and 32 cabbage plants
in his vegetable garden. What is the greatest number of rows
possible if each row has the same number of onion plants
and cabbage plants?​

Answer 1

Answer:

• The greatest number of rows possible are 16.

Step-by-step explanation:

Given that:

• Pawan wants to plant 48 onion plants and 32 cabbage plants in his vegetable garden.

To Find:

• What is the greatest number of rows possible if each row has the same number of onion plants and cabbage plants?

Concept:

• For finding the greatest number of rows possible if each row has the same number of onion plants and cabbage plants we have to find the HCF of the numbers of onion plants and cabbage plants planted in the garden.

Finding the HCF:

By factorisation method.

• Factors of 48 = 2⁴ × 3
• Factors of 32 = 2⁵

Highest common factor = 2⁴ = 16

• HCF of 48 and 32 = 16

Hence,

• The greatest number of rows possible are 16.

Answer 2

Given :-

Pawan wants to plant 48 onion plants and 32 cabbage plants

in his vegetable garden

To Find :-

Greatest no. of rows

Solution :-

At first we need to find HCF of 48 and 32

Factors of 48 = 1,2,3,4,6,8,12,16,24,48

Factors of 32 = 1,2,3,4,8,12,16,32

Common Factors =  1,2,3,4,8,12,16,

Highest Common Factor (HCF) = 16