Question

The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P? 
1. 6
2. 7
3. 8
4. 9.5

Answer 1

Correct Answer - Option 2 : 7

The product of three integers X, Y and Z is 192.

X.Y.Z = 192

Z is equal to 4.

⇒ X.Y.(4) = 192 ⇒ X.Y = 48

Possibilities are: (1,48), (2,24), (3,16), (4,12), (6,8)

P is equal to the average of X and Y.

P = (X + Y)/2

P_min = (X + Y)_min/2 = (6 + 8)/2 = 7