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If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:
Question

If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:

A.

3, 38

B.

3, 28

C.

24, 6

D.

24, 16

Correct option is C

Given: Mean proportional between p and q is 12
Formula Used: If m is the mean proportional between p and q, then m2m^2​ = p × q
Solution:
Here, m = 12,
so (12)2(12)^2 ​= p × q
144 = p × q.
Thus, p × q = 144.
There are multiple pairs of values that satisfy this equation, such as (p, q) = (9, 16), (12, 12), (16, 9) (24, 6)

So, among the given options (24,6) is the correct answer.

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