Home
Class 12
MATHS
Consider the following propositions p ...

Consider the following propositions
p : To become an airforce officer one should be graduate.
q: To become an airforce officer one should have good health.
The compound proposition "To become an airforce officer one should be a graduate and should have good health" is represented by

A

`p vv q`

B

`p rarr q`

C

`p ^^ q`

D

`p harr q`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to represent the given propositions using logical symbols. 1. **Identify the propositions**: - Let \( p \) represent the proposition "To become an airforce officer one should be a graduate." - Let \( q \) represent the proposition "To become an airforce officer one should have good health." 2. **Understand the compound proposition**: - The compound proposition states: "To become an airforce officer one should be a graduate and should have good health." - This is a conjunction of the two propositions \( p \) and \( q \). 3. **Use logical symbols**: - The logical symbol for "and" is \( \land \). - Therefore, the compound proposition can be represented as \( p \land q \). 4. **Conclusion**: - The final representation of the compound proposition "To become an airforce officer one should be a graduate and should have good health" is \( p \land q \). ### Final Answer: The compound proposition is represented by \( p \land q \).
Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the following propositions : p : To become on airfore officer one should be a graduate. q: one should have good health propositions:- To become an airfore officer one should be a graduate and should have good health " is represented by

To get three images of a single object, one should have two plane mirrors at an angle of

To get three images of a single object, one should have two plane mirrors at an angle of

Consider the following statements P : I have the raincoat q : I can walk in the rain. The propositions " If i have the raincoat , then I can walk in the rain " is represented by

With Which one of the following elements silicon should be doped so as to give p-type of semiconductor?

Consider the following statements in respect to an artifical satellite (1) It should revolve in an orbit which is concentric and coplanar with equatorial plane (2) It should be placed at an altitude of 3600 km from the earth (3) Its period of revolution around the earth should be 24 hours Which of the condition must be satisfied in order that it becomes a geostationary satellite

Restriction enzymes should not have more than one site of action in the cloning site of a vector. Comment.

Two solutions each in 100 ml have 4 g glucose and 10 g sucrose respectively. How much urea should be added to one of them in order to make them isotonic?

Write three equivalent rational numbers for (3)/(8) , one of these should have numerator (-24) .