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16 Sep 2026, 05:05
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A gold bar weighs more than 4.5 kilograms.: Does not have to be true
A platinum bar weighs less than 3.8 kilograms.: Must be true
A gold bar weighs more than a silver bar.: Does not have to be true
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
55% (02:37) correct
45%
(02:15)
wrong
based on 11
sessions
History
Date
Time
Result
Not Attempted Yet
A precious-metals dealer fills several shipments using gold bars, silver bars, and platinum bars. All bars of the same metal have the same mass, and each shipment contains a positive integer number of whole bars of each metal.
The table shows the total mass, in kilograms, of each metal included in eight shipments.
For each of the following statements, select Must be true if the information provided indicates that the statement must be true. Otherwise, select Does not have to be true.
The table shows the total mass, in kilograms, of each metal included in eight shipments.
| Shipment | Gold | Silver | Platinum |
|---|---|---|---|
| 1 | 14.0 | 15.0 | 11.25 |
| 2 | 17.5 | 25.0 | 18.75 |
| 3 | 24.5 | 35.0 | 22.50 |
| 4 | 31.5 | 20.0 | 30.00 |
| 5 | 35.0 | 30.0 | 33.75 |
| 6 | 21.0 | 45.0 | 41.25 |
| 7 | 28.0 | 50.0 | 26.25 |
| 8 | 38.5 | 40.0 | 37.50 |
For each of the following statements, select Must be true if the information provided indicates that the statement must be true. Otherwise, select Does not have to be true.
| Must be true | Does not have to be true | |
| A gold bar weighs more than 4.5 kilograms. | ||
| A platinum bar weighs less than 3.8 kilograms. | ||
| A gold bar weighs more than a silver bar. |
ShowHide Answer
Official Answer
A gold bar weighs more than 4.5 kilograms.: Does not have to be true
A platinum bar weighs less than 3.8 kilograms.: Must be true
A gold bar weighs more than a silver bar.: Does not have to be true
16 Sep 2026, 05:29
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Metal bars must have:
1) Constant weight
2) Integral value
Sort by Gold Weight
We observe that weights are increasing in increment of 3.5kgs and 14 itself is a multiple of 3.5
So, each gold bar at max can weigh 3.5kgs (note that weight of each bar could also be factor of 3.5 such as 1.75 or something smaller)
Sort by Silver Weight
We observe that weights are increasing in increment of 5kgs and 15 itself is a multiple of 5
So, each silver bar at max can weigh 5kgs
Sort by Platinum Weight
We observe that weights are increasing in increment of 3.75kgs (note the minimum difference) and 11.25 itself is a multiple of 3.75
So, each platinum bar at max can weigh 3.75kgs
With the above information, we know that:
1) Gold bar cannot weight more than 3.5kg
=> A gold bar weighs more than 4.5 kilograms => DOESN'T HAVE TO BE TRUE
2) Platinum bar cannot weight more than 3.75kg
=> A platinum bar weighs less than 3.8 kilograms => MUST BE TRUE
3) Gold bar cannot weight more than 3.5kg and Silver bar cannot weigh more than 5kg
=> A gold bar weighs more than a silver bar.=> DOESN'T HAVE TO BE TRUE
1) Constant weight
2) Integral value
Sort by Gold Weight
We observe that weights are increasing in increment of 3.5kgs and 14 itself is a multiple of 3.5
So, each gold bar at max can weigh 3.5kgs (note that weight of each bar could also be factor of 3.5 such as 1.75 or something smaller)
Sort by Silver Weight
We observe that weights are increasing in increment of 5kgs and 15 itself is a multiple of 5
So, each silver bar at max can weigh 5kgs
Sort by Platinum Weight
We observe that weights are increasing in increment of 3.75kgs (note the minimum difference) and 11.25 itself is a multiple of 3.75
So, each platinum bar at max can weigh 3.75kgs
With the above information, we know that:
1) Gold bar cannot weight more than 3.5kg
=> A gold bar weighs more than 4.5 kilograms => DOESN'T HAVE TO BE TRUE
2) Platinum bar cannot weight more than 3.75kg
=> A platinum bar weighs less than 3.8 kilograms => MUST BE TRUE
3) Gold bar cannot weight more than 3.5kg and Silver bar cannot weigh more than 5kg
=> A gold bar weighs more than a silver bar.=> DOESN'T HAVE TO BE TRUE
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