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Published on: 01/06/2021
QB365 provides detailed and simple solution for every book back questions in class 12 Maths subject.It will helps to get more idea about question pattern in every book back questions with solution.
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Questions + Answers key
Take MCQ Maths Test1.
Write the converse, inverse, and contrapositive of each of the following implication.
If x and y are numbers such that x = y, then x2 = y2
2.
Fill in the following table so that the binary operation ∗ on A = {a, b, c} is commutative.
| * | a | b | c |
| a | b | ||
| b | c | b | a |
| c | a | c |
3.
Write each of the following sentences in symbolic form using statement variables p and q.
(i) 19 is not a prime number and all the angles of a triangle are equal.
(ii) 19 is a prime number or all the angles of a triangle are not equal
(iii) 19 is a prime number and all the angles of a triangle are equal
(iv) 19 is not a prime number
4.
Let p: Jupiter is a planet and q: India is an island be any two simple statements. Give verbal sentence describing each of the following statements.
(i) ¬p
(ii) p ∧ ¬q
(iii) ¬p ∨ q
(iv) p➝ ¬q
(v) p↔q
5.
Construct the truth table for the following statements.
(¬p ⟶ r) ∧ ( p ↔️ q)
1.
If x and y are numbers such that x = y, then x2 = y2
Converse statement :
If x and y are numbers such that x2 = y2 then x = y
Inverse statement :
If x and y are numbers such that x ≠ y then x2 ≠ y2
Contrapositive statement :
If x and y are numbers such that x2≠ y2 then x ≠ y
2.
Given * on A is commutative
Given b * a = c ⇒ a * b = c
Given c * a = a ⇒ a * c = a
Given b * c = a ⇒ c * b = a
Hence
| * | a | b | c |
| a | b | c | a |
| b | c | b | a |
| c | a | a | c |
3.
Let p: 19 is a prime number.
q: All the angles of a triangle are equal be two simple statements.
(i) 19 is not a prime number and all the angles of a triangle are equal.
~p ∧ q
(ii) 19 is a prime number or all the angles of a triangle are not equal.
p ∧ ~q
(iii) 19 is a prime number and all the angles of a triangle are equal.
p ∧ q
(iv) 19 is not a prime number.
~p.
4.
Given p : Jupiter is a planet and
q : India is an island.
(i) ¬p : Jupiter is not a planet.
(ii) p ∧ ¬q : Jupiter is a planet and India is not an island.
(iii) ¬p ∨ q : Jupiter is not a planet or India is an island.
(iv) p➝ ¬q : If Jupiter is a planet then India is not an island.
(v) p↔q : Jupiter is a planet if and only if India is an island.
5.
Truth Table for (~p ⟶ r) ∧ ( p ↔️ q)
| p | q | r | ~ p | ~ p ⟶ r | p ↔️ q | (~p ⟶ r) ∧ ( p ↔️ q) |
| T | T | T | F | T | T | T |
| T | T | F | F | T | T | T |
| T | F | T | F | T | F | F |
| T | F | F | F | T | F | F |
| F | T | T | T | T | F | F |
| F | T | F | T | F | F | F |
| F | F | T | T | T | T | T |
| F | F | F | T | F | F | F |
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Tamilnadu Stateboard 12th Standard Subjects

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Business Maths and Statistics

Economics

Commerce

Accountancy

History

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Biology

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Computer Applications

Computer Science

Business Maths and Statistics

Commerce

Economics

Maths

Chemistry

Physics

Computer Technology

History

Accountancy

Tamil

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