U and V vary directly with each other. If U=34,V=51,which of the following is not apossible pair of corresponding values of U and V

The problem states that U and V vary directly with each other. This means that the ratio of U to V is constant. We can find this constant by dividing U by V with the given values.

So, k = U/V = 34/51 = 0.6667 (approximately)

Now, for any other pair of U and V to be possible, they must satisfy this ratio.

Let's check each pair:

1. U=68, V=102. The ratio is 68/102 = 0.6667. This pair is possible.
2. U=17, V=25.5. The ratio is 17/25.5 = 0.6667. This pair is possible.
3. U=100, V=150. The ratio is 100/150 = 0.6667. This pair is possible.
4. U=200, V=299. The ratio is 200/299 = 0.669. This pair is not possible.

So, the pair (U=200, V=299) is not a possible pair of corresponding values of U and V.