# reasoning

Hi, So basically I am having problems answering the following questions below, I am not looking for answers specifically, I just need to know what the questions are asking for and how to go on about solving them (method). (Headbang) I would be grateful if you could even just tell me how to do...
2. ### Transitive law in proving p → q ≡ ~q → ~p by deductive reasoning.

It's written in my book that in the solution of the example , the p → q ≡ ~q → ~p is proven by the Transitive Law. But nowhere in the solution can I find transitive law being used. What I know from the book is that by transitive Law (Trans.), (p→q)∧(q→r) ⇒ (p→r). Commutative law or p→q ≡...
3. ### Problem with reasoning behind "and-or" statement

Please refer to the attached image
4. ### Reasoning behind the method of finding modular inverse

how to find out the value of $\frac ab\pmod m$.
5. ### Reasoning behind the formula to calculate Bell numbers

I read many articles on Stirling’s numbers and Bell numbers in online. Hence, now I understand the recursive formula to calculate Bell numbers .The recursive formula is in the following: S(n,k)=S(n-1,k-1)+kS(n-1,k) Recently I have found another formula involving binomial coefficient to...
6. ### Reasoning problem....

An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ? A. 2/13 B. 13/40 C. Data inadequate D. None of these
7. ### Reasoning strategies

I've spend two nights working out these following three questions but effort was futile. 1)In one family, there have been 11 generations since the American Revolution. A man and woman were married in 1776 and subsequently had 2 children. Suppose both of these children married and had 2...
8. ### Numerical reasoning

Hi, I was not sure where to put this question. I have been presented with the following problem: The missing number is 6, do you have any idea why?
9. ### Flawed reasoning... but where?

I've written the question out on MathB.in for simplicity: Flawed Reasoning - MathB.in My gut feeling is that the answer is to do with the open interval in the hypothesis of the mean value theorem, but I'm not sure.
10. ### Something wrong with my reasoning?

I was asked to prove that \frac{c^n}{n!} is a null sequence, that is, lim_{n->\infty}\frac{c^n}{n!}=0. c is a real number. I said that the sequence tends to zero if for all n sufficiently large the denominator grows faster than the numerator. If this is true for all n sufficiently large then...
11. ### Logical Reasoning Question

Will anyone be kind enough to help me comprehend the Questions 46 and 47 in the attached (Bitmap image) question below: I attempted Question 45: I multiplied the number of larger boxes for each ship type by 4 and attempted to subtract 12 from each. I deduced that the Navy Ship can carry 12...
12. ### Quantitative reasoning

Hello, another quantitative reasoning question from my GRE booklet that I desperately need help with : The quantities of S and T are positive and related by the equation S= k/T where k is a constant. If the value of S increases by 50%, then the value of T decreases by what percent? a) 25%...
13. ### Quantitative reasoning

Hey guys, Im preparing for the GRE Exam and I am finding these quantitative reasoning problems quite difficult...I am so awful at Math. I am not sure this is the right thread for this question, please forgive me if it isn't.. So this is the problem: The total number of recording titles...
14. ### Can someone explain why this line of reasoning concerning ordered relations is right?

Choose δ ∈ (0,1) such that 1 - δ < x < 1 implies 3/M < 2x2 - 3x + 1 < 0; i.e., M/3 > 1/(2x2 - 3x + 1). Notice that 0 < x < 1 also implies 2 < x + 2 < 3. It follows that f(x) = (x+2)/(2x2 - 3x + 1) < M for all 1 - δ < x < 1. I do not understand the last statement because it seems to say that if...
15. ### Help with deductive reasoning puzzle.

I need to make a deductive reasoning puzzle that has 5 people, 5 objects/places, and another 5 objects/places. It has to have 8 clue and you have to be required to use all of the clues to solve it. Can someone give me an Idea or an example? I have no idea where to start.
16. ### circular reasoning of the definition of "number?"

Hi. I'm going back to basics and I have been perusing the book "basic concepts of mathematics and logic" by michael gemignani. The definition 6.1 of this texts defines the phrase "same number as" as follows: Def^n\text{ }6.1: Two sets S and T are said to have the same number of elements if each...
17. ### Optimisation Word Problem- can someone check my reasoning please?

Hey guys, I'm working on a problem I think I have figured out, but would like to see what you think. Toys for Kids produces two types of toys (for boys and girls) by their 40 kilos of plastic material available. A boy's toy requires twice as much plastic as a girl's toy. Each kilogram of...
18. ### Reasoning behind Solving using Substitution

Hello all, I'm brushing up my basic Math knowledge. Sometimes I have a hard time really understanding why things work the way they do. Now it's in the topic of Systems of Equations: Substitution method. Untill the graphing method it seemed all very clear to me. You have 2 lines (equations)...
19. ### Dbl checking answer with Reasoning rational or irrational.

[Solved]Dbl checking answer with Reasoning rational or irrational. ========================================================== Question （1） ========================================================== Area of circle= A Area=╥R² Radius = 1/√╥ A=╥(1/√╥)² =╥ * 1/╥ A= ╥...
20. ### Finitarily meaningful propositions and finitary reasoning

Hello, Source Hilbert's Program (Stanford Encyclopedia of Philosophy) It has been clearly mentioned : "The goal of Hilbert's program is then to give a contentual, metamathematical proof that there can be no derivation of a contradiction, i.e., no formal derivations of a formula A and of its...