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Q1 guys frm lec 3
Question 2 from lecture 5 example no 6
Assignment # 1 Mth202
Maximum Marks: 20
Due Date: 27th May,2015
Please read the following instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over 01-10 lectures.
In order to solve this assignment you have strong concepts about following topics:
ü Logic, laws of logic and its application
ü Truth tables and conditional statements
ü Set theory
ü Venn diagram and its applications
Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in these lectures. You should concern the recommended books for clarification of concepts.
• Upload assignments properly through LMS. No Assignment will be accepted through email.
• Write your ID on the top of your solution file.
Section Incharge Name:- Sadaf Munir
Question: 1(a) Marks:05
Construct a truth table for the following proposition:
Question: 1(b) Marks:05
Write each of these propositions in the form “p if and only if q” in English.
1. If you watch television your mind will decay, and conversely.
2. The trains run late on exactly those days when I take it.
3. If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside.
Question: 2 Marks:10
Show that if A, B, and C are sets, then
(a) by showing each side is a subset of the other side
(b) by using a membership table.
Section Incharge Name:- Saima Shafi
Question: 1 Marks:07+06
If then by using the laws of logic show that.
Also construct a truth table for .
Note: Please mention each law of logic properly which you have used in your solution.
Question: 2 Marks:04+03
There are 100 software developers in a software company, in which 75 professionals are expert to developing computer programs, 45 are expert in application soft wares, and 35 keep know how both in computer programs and application softwares.Using the Venn diagrams show that:
(a) How many professional are skilled either a computer programs or an application software?
(b) How many professional did not well either a computer programs or application software?
Section Incharge Name:- Jamshaid Nasir
Question: 1 Marks:10
Use truth table to test the validity of the following argument.
If you invest in the HBFC, then you get rich.
You didn’t invest in the HBFC.
Therefore, you didn’t get rich.
Question: 2 Marks:10
Prove that the statement is tautology.
Section Incharge Name:- Asmat Batool
Question 1; Mark:4+6=10
Name the laws of logic used in the following statements:
(i) (~p→q) Ù(q→p) ≡ (pÚq) Ù(~qÚp)
(ii) r ↔ s ≡ s ↔ r
(iii) (~(~q)) Ú(pÙr) ≡ q Ú(pÙr)
(iv) (pÚp) Ú(~r) ≡ p Ú (~r)
(i)Use De Morgan’s Law on q Ù(~(~pÚq)).
(ii)Use Distributive Law on rÚ(~sÙs)
(iii)Use Associative Law on the (~qÚp) Ú~p
Question 2; Marks: 8
With the help of Membership table show that (A È B) – C= (A – C) È ( B – C)
Question 3; Marks: 2
Convert the following statement in mathematical expression.
“If the rain destroys the crops or the fire destroys the crops, then the government compensates the farmers”.
n Q3 from where?
Q2 n Q3 belong from which lecture?
+ ριscεs ∂εε gud keep it up
Thank you sir
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saleem bahi it's excelent but weren't clear. anyway good effert