"Mathematical Reasoning - New Statements from Old".

1. The denial of statement is called _____________

a) negation

b) contradiction

c) contrapositive

d) compound

2. The negation of a statement is also a statement.

a) True

b) False

3. Which of the following cannot be the negation of the statement "Delhi is in India"?

a) Delhi is not in India

b) It is false that Delhi is in India

c) It is false that Delhi is not in India

d) It is not the case that Delhi is in India

4. Which of the following cannot be the negation of the statement "Everyone in India speaks Hindi"?

a) Not everyone in India speaks Hindi

b) No person in India speaks Hindi

c) Someone in India does not speaks Hindi

d) At least one person in India who does not speaks Hindi

5. Which of the following cannot be the negation of the statement "All angles are equal in equilateral triangle"?

a) There is at least one angle different in equilateral triangle

b) It is false that all angles are equal in equilateral triangle

c) It is not the case that all angles are equal in equilateral triangle

d) All angles are unequal in equilateral triangle

6. Which of the following is not negation of statement "Sum of 2 and 3 is greater than 4"?

a) Sum of 2 and 3 is smaller than 4

b) Sum of 2 and 3 is smaller than or equal to 4

c) Sum of 2 and 3 is not greater than 4

d) It is false that sum of 2 and 3 is greater than 4

7. _____________ statement is made up of two or more statements where each statement is known as ________________ statement.

a) Compound, compound

b) Compound, component

c) Component, compound

d) Component, component

8. Connect "0 is positive number" and "0 is a negative number"?

a) 0 is a positive or negative number

b) 0 is a positive and negative number

c) 0 is either positive or negative number

d) 0 is neither positive nor negative number

9. A rectangle is a quadrilateral and its four sides are equal. Which is not correct?

a) A rectangle is a quadrilateral is false

b) A rectangle has four sides is true

c) A rectangle is a quadrilateral is true

d) A rectangle has all sided equal is false

10. Which of the following compound statement has both true component statements?

a) A prime number is divisible by 2 and odd

b) Two and two makes four or five

c) All integers are positive and divisible by 2

d) 100 is divisible by 2 and 5