Question

A stack of 8 glasses is 42 cm tall and a stack of 2 glasses is 18 cm tall. How tall, in centimeters, is a stack of 6 glasses?

Answer 1

The height of a stack of glasses is . The correct option is (D)

Explanation:

Step-1:

We are given the height, when glasses are stacked together, the height is .

We are given the height, when glasses are stacked together, the height is .

We have to find the height when glasses are stacked together.

Step-2:

The height of glasses can be considered as the term of an A.P.

The height of glasses can be considered as the term of an A.P.

The height of glasses can be considered as the term of an A.P.

Step-3:

From we can calculate the value of in terms of .

Substitute this value in

Substitute this value back in :

Step-4:

The value of the term is

Therefore, the height of glasses is . Hence the correct option (D).