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Mathematics 21 Online
OpenStudy (anonymous):

Some section of an IQ test asks the following questions: (1) Choice B is the answer to how many of the following questions? A. 2 B. 3 C. 4 (2) Which choice is the correct answer to the MOST questions? A. C B. B C. A (3) The correct answer to question (1) is? A. B B. A C. C (4) Which choice is the correct answer to the LEAST questions? A. A B. C C. B

OpenStudy (anonymous):

hey

OpenStudy (anonymous):

do u get this? It's part of my math hw lol.

OpenStudy (lgbasallote):

nope. i have a low IQ

OpenStudy (anonymous):

Hey. @UnkleRhaukus u get this?

OpenStudy (unklerhaukus):

i have (1) B. 3 (2) B. B (3) A. B (4) B. C, im not sure if there are others solutions

OpenStudy (anonymous):

how did u get that?

OpenStudy (unklerhaukus):

wel the method i used was to guess and correct

OpenStudy (asnaseer):

Just use logic and reasoning. (i) Answer to Q1 cannot be C because there are 4 questions, so if C is answer to question 1 then that invalidates its assertion that all 4 questions have an answer of B. (ii) If answer to Q1 was B then that impies that 3 questions have an answer of B. Since Q1's answer is B, that leaves 2 other that must have an answer of B. Lets check that. Answer to Q3 would have to be A in this case, which implies answers to Q2 and Q4 must be B. Having B as the answer to Q2 seems to work. Having B as the answer to Q4 works as C is the correct answer to zero questions (therefor the LEAST). So correct solutions are: Q1 - B Q2 - B Q3 - A Q4 - B (iii) That just leave us with answer to Q1 being A which implies 2 questions have a answer of B. Lets check that. Answer to Q3 would have to be B in this case. That means either Q2 or Q4 must have an answer of B. Answer to Q2 must be B as at least 2 questions have an answer of B (from Q1). Then answer to Q4 must be A. But that means we have 2 questions with A as the answer and 2 with B as the answer, so number of questions with answer A = number of questions with answer B which breaks the assertions of questions 2 and 4. So these cannot be the correct answer: Q1 - A Q2 - B Q3 - B Q4 - A Therefore my answers match those given by @UnkleRhaukus

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