Bunuel
A logistics company operates three distribution hubs: North, Central, and South. For each of seven months, the table shows the percentage of shipments at each hub that were dispatched within 24 hours. The last column shows the percentage of shipments dispatched within 24 hours for the three hubs combined.
| Month | North | Central | South | All hubs combined |
|---|
| January | 62% | 48% | 55% | 55% |
| February | 64% | 49% | 54% | 56% |
| March | 63% | 51% | 56% | 57% |
| April | 65% | 50% | 57% | 57% |
| May | 64% | 52% | 56% | 58% |
| June | 66% | 51% | 58% | 59% |
| July | 65% | 53% | 57% | 59% |
For each of the following statements, select
T if the statement is true based on the information provided. Otherwise, select
F.
Official Solution:The table provides only
percentages. For each statement, we can select
T only if the information provided is sufficient to establish that the statement must be true. If the statement cannot be confirmed as true from the information given, we must select
F. Thus, an answer of
F does not necessarily mean that the statement must be false. It may simply mean that there is not enough information to determine that it is true.
• In January, North and Central handled the same total number of shipments.In January, the combined percentage was 55%.
North's percentage was 62%, which is 7 percentage points above 55%, while Central's was 48%, which is 7 percentage points below 55%. South's percentage was exactly 55%, so it does not affect the balance between North and Central.
Because North and Central are equally far from the combined percentage in opposite directions, they must have handled the same number of shipments.
Answer:
T.
• More shipments were dispatched within 24 hours across all three hubs in July than in January.The combined percentage increased from 55% in January to 59% in July.
However, the table does not show the total number of shipments handled in either month. A higher percentage does not necessarily mean a greater number of shipments.
Therefore, we cannot determine that more shipments were dispatched within 24 hours in July.
Answer:
F.
• In April, Central must have handled more shipments than North.In April, the combined percentage was 57%.
North's percentage was 65%, which is 8 percentage points above 57%, while Central's was 50%, which is 7 percentage points below 57%. South's percentage was exactly 57%.
For North's higher percentage and Central's lower percentage to balance at 57%, Central must have handled more shipments than North.
Answer:
T.