Home
Class 12
MATHS
If p: 'Ram is tall' and q: 'Ram is inte...

If p: 'Ram is tall' and q: 'Ram is intelligent' , then the statement `~p vvq` is

A

Ram is not tall or he is intelligent.

B

Ram is tall or he is intelligent

C

Ram is not tall and he is intelligent

D

Ram is not all then he is intelligent

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the given statements and the logical expression provided. 1. **Identify the Statements**: - Let \( p \) represent the statement "Ram is tall". - Let \( q \) represent the statement "Ram is intelligent". 2. **Negate the Statement \( p \)**: - The negation of \( p \) (denoted as \( \sim p \)) means "Ram is not tall". 3. **Combine with \( q \)**: - The expression we need to evaluate is \( \sim p \lor q \), which means "not p or q". - This translates to "Ram is not tall or Ram is intelligent". 4. **Final Statement**: - Therefore, the complete statement represented by \( \sim p \lor q \) is: "Ram is not tall or Ram is intelligent". ### Final Answer: The statement \( \sim p \lor q \) is "Ram is not tall or Ram is intelligent". ---

To solve the problem, we need to analyze the given statements and the logical expression provided. 1. **Identify the Statements**: - Let \( p \) represent the statement "Ram is tall". - Let \( q \) represent the statement "Ram is intelligent". 2. **Negate the Statement \( p \)**: - The negation of \( p \) (denoted as \( \sim p \)) means "Ram is not tall". ...
Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise Archives|10 Videos
  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise concept application|13 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise JEE ADVANCED|1 Videos
  • MATRICES

    CENGAGE ENGLISH|Exercise Single correct Answer|34 Videos

Similar Questions

Explore conceptually related problems

The statement p vv q is

The statemetn p to ( p vvq) is a-

The statement ~(p ^^ q) vv q

Statement 1 : Consider the statements p : Delhi is in India q : Mumbai is not in Italy Then the negation of the statement p vv q , is 'delhi is not in India and Mumbai is in Italy' Statement 2: For any two statement p and q ~(p vv q) = ~p vv ~q

The contrapositive of the statement If p then q is

The statement p Rightarrow p vv q

The negation of the statement 'p and q' is __________

"If p then q" is same as (where p and q are statement)

If p, q and r anre 3 statements, then the truth value of ((-p vv q) ^^ r) implies p is

The statement prArr(q^^p) is negation of the statement