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19 Oct 2020, 13:45
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Dear Quant Experts,
Can you please help me figure out if my conclusions about conditional reasoning on GMAT Quant are correct or not.
It seems to me that conditional reasoning is everywhere on GMAT. It's basically the fundamental reasoning style that is needed throughout the test.
DS questions are all about conditional reasoning because we are essentially asked to determine whether the statements are "sufficient" to answer the question with certainty/necessarily true.
On PS:
E.g. "must be true" questions are essentially asking us to find the "necessary condition", so to make a logical deduction from the given information. And "could be true" questions ask us to find one or more "sufficient conditions" from which the required statement in the prompt must follow (necessary condition).
Same goes for many other PS questions. Even if we are not explicitly asked to determine what "must or could be true", we still have to determine what must follow from the given (e.g. properties, constraints etc) or what could be true given a requirement (e.g. come up with possibilities in the from of cases/scenarios).
So my overall conclusion is that when we ask "What could be true? What are possible cases that make this statement true? What do I need to consider etc. - we are determining the sufficient condition(s) and when we ask "What does this mean? What must be true?" - we are determining the necessary condition(s).
Thanks in advance!
Can you please help me figure out if my conclusions about conditional reasoning on GMAT Quant are correct or not.
It seems to me that conditional reasoning is everywhere on GMAT. It's basically the fundamental reasoning style that is needed throughout the test.
DS questions are all about conditional reasoning because we are essentially asked to determine whether the statements are "sufficient" to answer the question with certainty/necessarily true.
On PS:
E.g. "must be true" questions are essentially asking us to find the "necessary condition", so to make a logical deduction from the given information. And "could be true" questions ask us to find one or more "sufficient conditions" from which the required statement in the prompt must follow (necessary condition).
Same goes for many other PS questions. Even if we are not explicitly asked to determine what "must or could be true", we still have to determine what must follow from the given (e.g. properties, constraints etc) or what could be true given a requirement (e.g. come up with possibilities in the from of cases/scenarios).
So my overall conclusion is that when we ask "What could be true? What are possible cases that make this statement true? What do I need to consider etc. - we are determining the sufficient condition(s) and when we ask "What does this mean? What must be true?" - we are determining the necessary condition(s).
Thanks in advance!
ShankSouljaBoi
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Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
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19 Oct 2020, 14:08
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Could be true... You need to prove just one example to work.
Must be true ... Must work for all the values of x ( let's say ) stated in the stem.
Could be true are flexible
Must be true are rigid !!!
Posted from my mobile device
Must be true ... Must work for all the values of x ( let's say ) stated in the stem.
Could be true are flexible
Must be true are rigid !!!
Posted from my mobile device
20 Oct 2020, 10:09
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Lionila
Yes, you're entirely correct. Any time you use a mathematical formula, for example, you're using a kind of conditional reasoning. "If the radius of a circle is r, the area of the circle is π(r^2)", for example, is a conditional statement. And as you point out, we're explicitly using conditional reasoning when solving DS questions, and in myriad other situations in PS. It's foundational to logic in general, and thus to math in particular.
So your observation is true. I'm not sure though that it's too helpful in practice - noticing that conditional reasoning is important might not make one any more capable of solving math problems, unless one didn't understand how to reason conditionally.
