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## Please Wait..

## ML Aggarwal Mathematical Reasoning ISC Class-11 Maths Understanding

## ML Aggarwal Mathematical Reasoning ISC Class-11 Maths Understanding Solutions Chapter-3

## Chapter Test

Ml aggarwal mathematical reasoning isc class-11 maths understanding solutions chapter-3.

- The statement p ∧ q has the truth value T (true) whenever both p and q have the truth value T.
- The statement p ∧ q has the truth value F (false) whenever either p or q or both have the truth value F.

## Disjunction :

- The statement p ∨ q has the truth value F whenever both p and q have the truth value F.
- The statement p ∨ q has the truth value T whenever either p or q or both have the truth value T.

- ~p has truth value T whenever p has truth value F.
- ~p has truth value F whenever p has truth value T.

## Negation of Conjunction:

## Negation of Negation :

Negation of negation of a statement is the statement itself. Equivalently, we write ~(~p) = p

## Question 1:

Identify which of the following are statements :

## Question 2:

Which of the following sentence are statement ? Give reason for your answer .

## Question 3:

## Question 4:

(i) Logic is the study of ………….

Write the negation of the following statement :

Are the following pairs of statement negations of each other ?

## Question 7:

Which of the following are the negation of the statement π is not a rational number ?

## ML Aggarwal Mathematical Reasoning Class-11 Maths Understanding Solutions Chapter-3

Find the component ……………… true or false.

## Question 10:

Write the negation of the following statements ;

Mathematical Reasoning ISC Class-11 Maths Understanding Solutions Chapter-3

Write the following condition sentence in standard from ” If p then q”

Write the converse of the following statements :

## Question 9:

Given below are two pairs of statement Combine these statement using if and only if. :

For any statements p and q construct the truth table for the following compound statement.

## Question 6:

For any three statement p, q and r, show that the implication p……………. equivalent statements.

Which of the following statement are true and which are false ?

In each case give a valid reason for saying so.

Show that the statement “For any real number a and b……………. counter example.

If x and y are positive real number then prove that x < y <=> x² < y².

Let R be the statement …………………. Bob is happy ”

## Question 14:

Determine whether the argument used to check the validity of the following statement is correct.

-: End of Mathematical Reasoning ISC Class-11 ML Aggarwal Maths Understanding Chapter-3 Solution :-

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Downloads for ICSE & ISC Class 11. Physics, Chemistry, Mathematics, Biology, Accountancy, Economics, Business… etc. These downloads are arranged subject-wise and topic-wise

ML Aggarwal Mathematical Reasoning ISC Class-11 Maths Understanding Solutions Chapter-3. With Exe-3.1 to Exe-3.7, and Chapter Test Questions

ISC Class 11 Syllabus is given here according to the updated CISCE curriculum. Click to know the detailed ISC Syllabus for Class 11 for 2022-23 academic year and prepare for the exam

Download ISC class 11 books PDF free. The ISC class 11 exams are tough. All ISC class 11 students should follow the books we are about to give you. Here is the book list of ISC class 11 Science that you should study