Question

Two sticks, 12 cm and 16 cm long are to be divided into smaller pieces of equal and maximum possible length. The length of each smaller stick can be .

• A. 1
• B. 2
• C. 4

Answer 1

The correct option is C 4

To find the maximum possible length of smaller pieces, we need to find the HCF of the lengths of the two sticks.

Factors of 12: 1, 2. 3, 4, 6, 12
Factors of 16: 1, 2, 4, 8, 16

The common factors are 1, 2, and 4.
The HCF is 4.
So, the maximum possible equal length that can be cut from both the sticks is 4 cm.