Based on the given Venn diagram, which of the following statement(s) is/are…

Concept

In a numerical Venn diagram every number sits in a region, and that region belongs to exactly the labelled shapes that overlap over it. To count a compound category such as "odd bottles" you add the numbers of every region that lies inside BOTH the Odd shape and the Bottle shape - and only those. A region that lies in just one shape, or in a different overlap, does not belong to that category. Also, no single item can be counted as both odd and even, so the part shared by Odd and Even can only describe membership, never a number that is "odd and even" at once.

Applying it to the diagram

1. Locate the number 3: it sits where the Bottle shape and the Odd shape overlap, but it is above the Even shape, so 3 belongs to Odd-and-Bottle only - it is an odd bottle, not "both odd and even". Statement I claims 3 is "both odd and even", so Statement I is false.

2. Collect every region inside both Odd and Bottle: that is the number 3 (Bottle-and-Odd) together with the central number 4 (which lies in Odd, Even and Bottle together). The central 4 is still inside the Odd shape, so it is counted as an odd bottle.

3. Add them: 3 + 4 = 7. So the number of odd bottles is 7, which makes Statement II true.

Cross-check

The central 4 lies inside the Odd shape, so it must be included in "odd bottles" even though it is also even and a bottle; dropping it would wrongly give only 3. Since Statement I is false and Statement II is true, the choice that states only the second statement holds is the right one. Do not be misled by the lower regions 6 and 1: 6 lies in the Odd shape alone and 1 lies in the Odd shape but outside the Bottle shape, so neither is an odd bottle and neither is added to the count of 7.