Question

Which of the following pairs of numbers do not have a geometric mean of 12? A 11 and 13 B 20 and 7.2 C 3 and 48 D 5 and 28.8

Answer 1

Option A contains two numbers that do not have a geometric mean of 12.

11 and 13 do not have a geometric mean of 12.

Step-by-step explanation

The geometric mean of two numbers, a and b, is given as

Geometric mean = √(a × b)

So, we want to find which two numbers will have a geometric mean of 12

12 = √(a × b)

Taking the square of both sides, we see that

144 = (a × b)

So, whichever two numbers give a product of 144 is our answer.

Option A

11 × 13 = 143

Option B

20 × 7.2 = 144

Option C

3 × 48 = 144

Option D

5 × 28.8 = 144

Hope this Helps!!!