Jars, OG one of the free tests

isisalaska wrote:Equal amount of water is poured into two emply jars of diff. capacities, which make of jar 1/4 and teh other 1/3 full. If water in the jar with the lesser capacity if pour into the one with the greater, what fraction of the large will be filled?
1/7
2/7
1/2
7/12
2/3

Let’s say that one jar has a capacity of 16 liters and the other, 12 liters. So, when equal parts water are poured into each jar, one jar has 4 liters and the other has 4 liters. When the contents of the small jar (4 liters from the 12-liter jar) are poured into the larger jar (4 litters in the 16-liter jar), the larger jar is now 8/16 = 1/2 full.

Alternate Solution:

Consider only the larger jar. When the first amount of water is poured into it, the jar becomes ¼ full. Now, a second amount of water, which is actually equal to the first amount, is poured into the larger jar. This second amount of water is also equivalent to ¼ of the jar’s capacity. Thus, the jar is now ¼ + ¼ = ½ full.

Answer: C