Question

If sum of two positive numbers is 24 then the probability of product of numbers is not less than 3/4 times the maximum possible product of a and b then probability of such event is m/n (m, n are O prime) then n – m is 

(1) 1 

(2) 3 

(3) 5 

(4) 7

Answer 1

Correct option is (1) 1 

Take two numbers as a and b

a + b = 24 

a = 24 – b

Now product of these numbers.

So, at b = 12 product is maximum 

⇒ a = b = 12 

Maximum possible product = 144

Now ab ≥ 3/4. 144 = 36.3 = 108

So, probability