Question:
Let $p$ : roses are red and q : the sun is a star. Then, the verbal translation of $ (-\text{ }p) \vee q $ is
Let $p$ : roses are red and q : the sun is a star. Then, the verbal translation of $ (-\text{ }p) \vee q $ is
Updated On: Apr 8, 2024
- roses are not red and the sun is not a star
- it is not true that roses are red or the sun is not a star
- it is not true that roses are red and the sun is not a star
- roses are not red or the sun is a star
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
p : roses are red q : the sun is a star $ \tilde{\ }p= $ roses are not red $ (\tilde{\ }p)\vee q= $ roses are not red or the sun is a star this sentence can also be written as, It is not true that roses are red or the sun is not a star but the first statement is most suitable.
Was this answer helpful?
0
0
Top Questions on mathematical reasoning
- The negation of inverse of the statement \((p \wedge q)→(p\vee\sim q)\)
- MHT CET - 2023
- Mathematics
- mathematical reasoning
- Let 𝛂 be the remainder (22)\(^{2022}\) + (2022)\(^{22}\) is divided by 3 and ꞵ be the remainder when the same is divided by 7 then 𝛂\(^2\) + ꞵ\(^2\) is?
- JEE Main - 2023
- Mathematics
- mathematical reasoning
- Which of the following statements is a tautology?
- JEE Main - 2023
- Mathematics
- mathematical reasoning
- The compound statement $(-(P \wedge Q)) \vee((-P) \wedge Q) \Rightarrow((-P) \wedge(-Q))$ is equivalent to
- JEE Main - 2023
- Mathematics
- mathematical reasoning
- Among the statements : (S1) $(( p \vee q ) \Rightarrow r ) \Leftrightarrow( p \Rightarrow r )$ (S2) $(( p \vee q ) \Rightarrow r ) \Leftrightarrow(( p \Rightarrow r ) \vee( q \Rightarrow r ))$
- JEE Main - 2023
- Mathematics
- mathematical reasoning
View More Questions
Questions Asked in KEAM exam
- A Spherical ball is subjected to a pressure of 100 atmosphere. If the bulk modulus of the ball is 1011 N/m2,then change in the volume is:
- KEAM - 2023
- mechanical properties of solids
- Two identical solid spheres,each of radius 10cm,are kept in contact. If the mass of inertia of this system about the tangent passing through the point of contact is 0. Then mass of each sphere is:
- KEAM - 2023
- System of Particles & Rotational Motion
- The value of a(≠0) for which the equation \(\frac{1}{2}(x-2)^2+1=\sin(\frac{a}{x})\) holds is/are
- KEAM - 2023
- Trigonometric Functions
- \(∫xlog(1+x^2)dx=\)?
- KEAM - 2023
- Integration by Parts
- A uniform thin rod of mass 3kg has a length of 1m. If a point mass of 1kg is attached to it at a distance of 40cm from its center,the center of mass shifts by a distance of:
- KEAM - 2023
- System of Particles & Rotational Motion
View More Questions
Concepts Used:
Mathematical Reasoning
Mathematical reasoning or the principle of mathematical reasoning is a part of mathematics where we decide the truth values of the given statements. These reasoning statements are common in most competitive exams like JEE and the questions are extremely easy and fun to solve.
Types of Reasoning in Maths:
Mathematically, reasoning can be of two major types such as:
- Inductive Reasoning - In this, method of mathematical reasoning, the validity of the statement is examined or checked by a certain set of rules, and then it is generalized. The principle of mathematical induction utilizes the concept of inductive reasoning.
- Deductive Reasoning - The principle is the opposite of the principle of induction. Contrary to inductive reasoning, in deductive reasoning, we apply the rules of a general case to a provided statement and make it true for particular statements. The principle of mathematical induction utilizes the concept of deductive reasoning.