### EXERCISE 1.10PAGES 22 - 27

### Balbharati solutions for Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board Chapter 1 Mathematical Logic Exercise 1.10 [Pages 22 - 27]

Represent the truth of the following statement by the Venn diagram.

If a quadrilateral is a rhombus, then it is a parallelogram.

#### SOLUTION

Let U : The set of all quadrilaterals.

P : The set of all parallelograms.

R : The set of all rhombuses.

The above Venn diagram represents truth of the given statement, R ⊂ P.

Draw a Venn diagram for the truth of the following statement.

Some share brokers are chartered accountants.

#### SOLUTION

Let U : The set of all human beings.

S : The set of all share brokers.

C : The set of all chartered accountants.

The above Venn diagram represents the truth of the given statement i.e., S ∩ C ≠ φ.

Represent the following statement by the Venn diagram.

If n is a prime number and n ≠ 2, then it is odd.

#### SOLUTION

Let, U : The set of all real numbers.

P : The set of all prime numbers n and n ≠ 2.

O : The set of all odd numbers.

The above Venn diagram represents the truth of the given statement i.e., P ⊂ O.