All Courses
Get the App Signup / Login
Sign in Open App
Commerce Exam  >  Commerce Tests  >  Test: Implications And Validating Of Statements - Commerce MCQ

Test: Implications And Validating Of Statements - Commerce MCQ


Test Description

10 Questions MCQ Test - Test: Implications And Validating Of Statements

Test: Implications And Validating Of Statements for Commerce 2024 is part of Commerce preparation. The Test: Implications And Validating Of Statements questions and answers have been prepared according to the Commerce exam syllabus.The Test: Implications And Validating Of Statements MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Implications And Validating Of Statements below.
Solutions of Test: Implications And Validating Of Statements questions in English are available as part of our course for Commerce & Test: Implications And Validating Of Statements solutions in Hindi for Commerce course. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free. Attempt Test: Implications And Validating Of Statements | 10 questions in 10 minutes | Mock test for Commerce preparation | Free important questions MCQ to study for Commerce Exam | Download free PDF with solutions
Test: Implications And Validating Of Statements - Question 1
Save

Two pairs of statement are:
p: If a quadrilateral is a rectangle, then its opposite sides are equal.
q: If opposite sides of a quadrilateral are equal, then the quadrilateral is a rectangle.
The combined statement of these pairs using “If and only if” is:

Detailed Solution for Test: Implications And Validating Of Statements - Question 1

‘A quadrilateral is a rectangle if and only if its opposite sides are equal’ because statements p & q are satisfied in this combined statement.

Test: Implications And Validating Of Statements - Question 2
Save

Write the contra positive of the given statement If -7 < 0 then 7 > 0

Detailed Solution for Test: Implications And Validating Of Statements - Question 2

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Implications And Validating Of Statements - Question 3
Save

The contra positive of a statement p ⇒ q, is the statement

Detailed Solution for Test: Implications And Validating Of Statements - Question 3

Contraceptive of a→b is ∼b→∼a
Then,Contraceptive of p→(∼q→∼r)
≡∼(∼q→∼r)→∼p
≡∼(q∧∼r)→∼p[a→b≡∼a∧b]
≡(∼q∨r)→∼p  [Demorgas law]

Test: Implications And Validating Of Statements - Question 4
Save

Name the technique used in the first step of the soluntion of the problem below :
Verify that √5 is irrational
Solution ; Let us assume that √5 is rational
Test: Implications And Validating Of Statements - Question 5
Save

If p and q are mathematical statements, then in order to show that the statement “p and q” is true, we need to show that:
*Multiple options can be correct
Test: Implications And Validating Of Statements - Question 6
Save

In order to prove the statement “If p then q” we need to show that:
Detailed Solution for Test: Implications And Validating Of Statements - Question 6

Case 1: By assuming that p is true, prove that q must be true.(Direct method)
Case 2 :  By assuming that q is false, prove that p must be false.(Contrapositive Method)

Test: Implications And Validating Of Statements - Question 7
Save

In order to prove the statement “p if and only if q” we need to show:
Detailed Solution for Test: Implications And Validating Of Statements - Question 7

In order to prove the statement “p if and only if q”, we need to show.

  • If p is true, then q is true and
  • If q is true, then p is true.
Test: Implications And Validating Of Statements - Question 8
Save

The component statements are:
p: You are wet when it rains.
q: You are wet when you are in river.
The compound statement of these component statements using appropriate connective is:
Test: Implications And Validating Of Statements - Question 9
Save

Which option is not same as “if p then q”?
Test: Implications And Validating Of Statements - Question 10
Save

Name the technique used in the solution of the problems below :
Question: Show that the following statement is false: If n is an odd integer, then n is prime.
Solution: The given statement is in the form “if p then q” we have to show that this is false, If p then ~q.
n = 99 is odd integer which is not a prime number. Thus, we conclude that the given statement is false.
Detailed Solution for Test: Implications And Validating Of Statements - Question 10

Here n = 99 is a counter example of the given statement.
Therefore,
Option A

Information about Test: Implications And Validating Of Statements Page
In this test you can find the Exam questions for Test: Implications And Validating Of Statements solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Implications And Validating Of Statements, EduRev gives you an ample number of Online tests for practice

Top Courses for Commerce

Download as PDF

Top Courses for Commerce

Important Questions for Implications And Validating Of Statements

Find all the important questions for Implications And Validating Of Statements at EduRev.Get fully prepared for Implications And Validating Of Statements with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Implications And Validating Of Statements syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Implications And Validating Of Statements resources.

Implications And Validating Of Statements MCQs with Answers

Prepare for the Implications And Validating Of Statements within the Commerce exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Implications And Validating Of Statements

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Implications And Validating Of Statements with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup