Given statements 1 to 3 below, what additional information is needed in order to conclude that the bottle of tea is bigger than the bottle of oil?
1) “The bottle of juice is bigger than the bottle of milk.”
2) “The bottle of tea is bigger than the bottle of juice.”
3) “The bottle of water is bigger than the bottle of tea.”
A. The bottle of juice is smaller than the bottle of oil.
B. The bottle of water is smaller than the bottle of tea.
C. The bottle of milk is smaller than the bottle of oil.
D. The bottle of oil is smaller than the bottle of milk.
E. The bottle of oil is smaller than the bottle of water.
If we let M = milk, J = Juice, T =tea and W = water,
we are given that (from smallest to largest) M J T W.
If the bottle of tea is bigger than a bottle of oil then the bottle of oil can be smaller than M and J, larger than M but smaller than J, or larger than J but smaller than T.
E is ruled out because if the bottle of oil was smaller than the bottle of water then potentially the bottle of oil could be larger than the bottle of tea.
B is ruled out because it is given that the bottle of water is bigger than that of the bottle of tea.
If we are given A, C, D we will know the bottle of oil is smaller than the bottle of Tea.
Final answer.
I made columns of Juice, Teas, Water, Oil and Milk.
Bigger put a 2 in a column. Smaller put a 1.
At the end of all statements - I added up the total. Oil won with a total of 6.
The bottle of oil was the biggest. Milk (only 3) was the smallest.