हिंदी

Assuming the first statement p and second as q. Write the following statement in symbolic form. The drug is effective though it has side effects.

Advertisements
Advertisements

प्रश्न

Assuming the first statement p and second as q. Write the following statement in symbolic form.

The drug is effective though it has side effects.

योग
Advertisements

उत्तर

The given statement can also be expressed as “The drug is effective and it has side effects”

Let p : The drug is effective.
q : It has side effects.

∴ p ∧ q is the symbolic form of the given statement.

shaalaa.com

Notes

The answer in the textbook is incorrect.

  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३१]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.03 | पृष्ठ ३१

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Construct the truth table of the following statement pattern.

p → [∼ (q ∧ r)]


Construct the truth table of the following statement pattern.

(q → p) ∨ (∼ p ↔ q)


If p ∧ q is false and p ∨ q is true, then ______ is not true.


Write the truth value of the following statement.

The Himalayas are the highest mountains but they are part of India in the North East.


Write the negation of the following statement.

All men are animals.


Find the truth value of the following statement.

Every accountant is free to apply his own accounting rules if and only if machinery is an asset.


Find the truth value of the following statement.

Neither 27 is a prime number nor divisible by 4.


If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ↔ ~(p ∨ q)


Fill in the blanks :

Conjunction of two statement p and q is symbolically written as ______.


Negation of “some men are animal” is ______.


State whether the following statement is True or False:

The negation of 10 + 20 = 30 is, it is false that 10 + 20 ≠ 30.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

The Sun has set and Moon has risen.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

3 is prime number if 3 is perfect square number.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

To be brave is necessary and sufficient condition to climb the Mount Everest.


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

(p ∧ q) ∧ ∼ r


Write the negation of the following.

Kanchanganga is in India and Everest is in Nepal.


Write the negation of the following statement.

∃ x ∈ A, such that x + 5 < 11.


Choose the correct alternative:

A biconditional statement is the conjunction of two ______ statements


Write the following statements in symbolic form.

If Qutub – Minar is in Delhi then Taj-Mahal is in Agra


If (p ∧ ~ r) → (~ p ∨ q) is a false statement, then respective truth values of p, q and r are ______.


If q: There are clouds in the sky then p: it is raining. The symbolic form is ______


Let p : 7 is not greater than 4 and q : Paris is in France by two statements. Then ∼(p ∨ q) is the statement ______ 


The negation of (p ∨ ∼q) ∧ q is ______


Which of the following is NOT true for p → q.


The statement, 'If I go to school, then I will get knowledge' is equivalent to ______ 


Write the following statement in symbolic form.

4 is an odd number if 3 is not a prime factor of 6.


From the following set of statements, select two statements which have similar meaning.

  1. If a man is judge, then he is honest.
  2. If a man is not a judge, then he is not honest.
  3. If a man is honest, then he is a judge.
  4. If a man is not honest, then he is not a judge.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×