The symbolic form of "p and q" is
- $ p \vee q$
- $ p \wedge q$
- $ p \Rightarrow q$
- $ p \Leftrightarrow q$
The Correct Option is B
Solution and Explanation
Top Questions on mathematical reasoning
- The number of different permutations of all the letters of the word "PERMUTATION" such that any two consecutive letters in the arrangement are neither both vowels nor both identical is:
- VITEEE - 2024
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In the (4 times 4) array shown below, each cell of the first three rows has either a cross (X) or a number. The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row is:
- GATE XL - 2024
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- A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight, and it should not stop till it reaches the other end of the cube. The minimum number of such cuts required is:
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Let \( \{(a, b) : a, b \in {R, a<b \} }\) be a basis for a topology \( \tau \) on \( {R} \). Which of the following is/are correct?
- GATE MA - 2024
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- Let \( X \) be the space \( {R}/{Z} \) with the quotient topology induced from the usual topology on \( {R} \). Consider the following statements:
1. \( X \) is compact.
2. \( X \setminus \{z\} \) is connected for any \( z \in X \).
Which one of the following is correct?- GATE MA - 2024
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Notes on mathematical reasoning
- NCERT Solutions for class 11 mathematics Chapter 14 Mathematical Reasoning
- Important Questions for Class 11 Maths Chapter 14 Mathematical Reasoning
- NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14 1
- NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14 2
- NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14 3
- NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14 4
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.