हिंदी

Choose the correct alternative: A biconditional statement is the conjunction of two ______ statements

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प्रश्न

Choose the correct alternative:

A biconditional statement is the conjunction of two ______ statements

विकल्प

  • Negative

  • Compound

  • Connective

  • Conditional

MCQ
रिक्त स्थान भरें
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उत्तर

Conditional

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अध्याय 1.1: Mathematical Logic - Q.1

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Evaluate: ∫ x . log x dx


Write the following compound statement symbolically. 

Hima Das wins gold medal if and only if she runs fast.


Construct the truth table of the following statement pattern.

[(p → q) ∧ q] → p


Construct the truth table of the following statement pattern.

(∼ p → ∼ q) ∧ (∼ q → ∼ p)


Construct the truth table of the following:

(∼p ∨ ∼q) ↔ [∼(p ∧ q)]


Write the following statement in symbolic form.

Milk is white if and only if the sky is not blue.


Find the truth value of the following statement.

It is not true that 3 − 7i is a real number.


Find the truth value of the following statement.

3 is a prime number and an odd number.


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

~ [(~ p ∨ s) ∧ (~ q ∧ r)]


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)


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.

Even though it is not cloudy, it is still raining.


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

If the question paper is not easy then we shall not pass.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

It is not true that the proof is lengthy but it is interesting.


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.

If x ∈ A ∩ B, then x ∈ A and x ∈ B.


Write the negation of the following statement.

10 > 5 and 3 < 8


Write the negation of the following statement.

∀ n ∈ N, n + 3 > 9.


The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.


Given 'p' and 'q' as true and 'r' as false, the truth values of p v (q ∧ ~r) and (p → r) ∧ q are respectively


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


The negation of ∼s ∨ (∼r ∧ s) is equivalent to ______


Let p, q and r be any three logical statements. Which of the following is true?


The statement ∼(p ↔ ∼q) is ______.


Write the contrapositive of the inverse of the statement:

‘If two numbers are not equal, then their squares are not equal’.


Using the statements

p: Seema is fat,

q: Seema is happy,

Write the following statements in symbolic form;

  1. Seema is thin and happy.
  2. If Seema is fat then she is unhappy.

Let p: I am brave.
      q: I will climb the Mount Everest.

The symbolic form of a statement,

‘I am neither brave nor I will climb the mount Everest’ is


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