Question 140

A question is followed by three statements labelled as I, II and III. Identify which of the following statements is/are sufficient to answer the question.
Question: What will be the value of UW?
Statement:
I) U - 5V = 6
II) $$U^2 + 25 W^2 = 100 + 10UW$$
III) $$81V^2 - 225 = 18VW - W^2$$

Solution

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I => U - 5V = 6

II => $$\left(U-5W\right)^2=10^2$$

III => $$\left(9V-W\right)^2=15^2$$

We have 3 unknowns U, V, and W and 3 equations => we need all 3 to find the individual values of  U and W to find the value of UW.

=> All 3 statements are necessary.

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