Each December 31 in Country Q, a tally is made of the country's total available coal supplies--that is the total amount of coal that has been mined throughout the country but not consumed. In 1991 that amount was considerably lower than it had been in 1990. Furthermore, Country Q has not imported or exported coal since 1970.
Important to note here: the amount the question refers to is not the amount of coal mined or consumed -- it is the DIFFERENCE between the amount of coal mined and the amount of coal consumed. That DIFFERENCE was greater in 1990 than in 1991, and we are only concerned with in-country info here -- no imports or exports. Also important to realize -- the total available coal supplies must include coal mined in previous years that has gone unconsumed.
If the statements above are true, which one of the following must also be true on the basis of them?
A) In Country Q, more coal was mined in 1990 than was mined in 1991.
This is possible, but we're looking for a must-be-true. It is equally possible that in 1990, Country Q mined 3 tons of coal and consumed 1 ton, but in 1991, Country Q mined 3 tons of coal and consumed all 3 tons. This would leave the 1990 and 1991 figures equal to one another. Eliminate.
B) In Country Q, the amount of coal consumed in 1991 was greater than the amount of coal mined in 1991.
This is the only one that MUST BE TRUE in order to satisfy the terms of the question. If (for example), Country Q mined 3 tons of coal in 1990, and consumed 1 ton, they would have 2 tons left over. For the number to be smaller in 1991, they would have to consume MORE than than they produce in order to cut into the 1990 figure.
C) In Country Q, the amount of coal consumed in 1990 was greater than the amount of coal consumed in 1991.
This is impossible. Eliminate.
D) In Country Q, the amount of coal consumed in 1991 was greater than the amount of coal consumed in 1990.
This is possible but again, doesn't NEED to be true. For example, if Country Q produced 3 tons of coal in 1990, consumed 2.5 tons and had a .5 ton difference, then in 1991, produced 1 ton of coal and consumed 1.2 tons, they would have a .3 ton difference and the terms of the question would still be satisfied. Eliminate.
E) In Country Q, more coal was consumed during the first half of 1991 than was consumed during the first half of 1990.
This is out of scope, since we are not concerned with "half years" here, only the full year. Eliminate.
I love these - they are like brain exercises. I have been reasonably sure about my answers in the past but I'm not sure about this one -- I'm interested to see the OA and reasoning.