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11 Apr 2023, 06:26
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(A) If the number of miners working in Tribnian coal mines has remained constant in the past five years, Tribnia's total coal production has doubled in that period of time.
Works.
(B) Any individual Tribnian coal mine that achieved an increase in overall ouput in the past five years has also experienced an increase in output per miner.
Not necessary as the increased output can also be due to an increase in the number of miners.
(C) If any new coal mines had opened in Tribnia in the past five years, then the increase in output per miner would have been even greater than it actually was.
Not necessary as the new technology works only on existing mines. New mines output port miner can be lower.
(D) If any individual Tribnian coal mine has not increased its output per miner in the past five years, then that mine's overall output has declined or remained constant.
Possible only if the overall production from the mine has decreased but the per capita output has increased, and the overall result is that the production has remained constant.
(E) In Tribnia the cost of producing a given quantity of coal has declined over the past five years.
Out of scope.
Works.
(B) Any individual Tribnian coal mine that achieved an increase in overall ouput in the past five years has also experienced an increase in output per miner.
Not necessary as the increased output can also be due to an increase in the number of miners.
(C) If any new coal mines had opened in Tribnia in the past five years, then the increase in output per miner would have been even greater than it actually was.
Not necessary as the new technology works only on existing mines. New mines output port miner can be lower.
(D) If any individual Tribnian coal mine has not increased its output per miner in the past five years, then that mine's overall output has declined or remained constant.
Possible only if the overall production from the mine has decreased but the per capita output has increased, and the overall result is that the production has remained constant.
(E) In Tribnia the cost of producing a given quantity of coal has declined over the past five years.
Out of scope.
03 Dec 2024, 03:23
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@Experts, I have a hard time figuring out these types of questions where there is a little bit of maths or probably some calculation required and always end up choosing the second best option, how do I go about deducing the options and reaching out the right answer?
buckkitty
13 Dec 2024, 14:43
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Arsh001
In general, you want to try your best to think through the logic BEFORE resorting to calculations. Ideally, you can reason your way through it using little to no actual math.
If a bit of math helps you understand the logic, that's fine, but try to resist the urge to START with equations. The equations should be the RESULT of your reasoning, not the basis of it. Otherwise, you'll find yourself mindlessly doing math without really understanding what's going on.
In other words, don't expect the equations to do the work for you on CR.
That's what we tried to do in this explanation of (A) vs. (B). Notice that the math only really appears at the end to confirm the logic.
I hope that helps!
