Check the validity of the following statements
p :20 is a multiple of 4 and 5.

2

(a)

Check the validity of the following statements
r :60 is a multiple of 3 or 5.

2

(a)

By giving a counter example, show that the following statement is false. If x is even integer, then x is a prime.

2

(a)

Using contrapositive method, prove that if n² is an even integer, then n is also an even integer.

2

(a)

Find the component statement of the following compound statements and check whether they are true or false.
100 is divisible by 3,11 and 5.

2

(a)

Write down the converse of the following statements.
If today is Monday, then tomorrow is Tuesday.

2

(a)

If tomorrow is Tuesday, then today is Monday.

Write negation
Ramesh is smart and healthy.

2

(a)

Write negation
Mridul is cruel or he is strict.

2

(a)

Write down the converse of the following statements.
If a rectangle R is a square, then R is a rhombus.

2

(a)

If the rectangle R is rhombus, then R is a square.

Write down the converse of the following statements.
If you go to Agra, then you must visit Taj Mahal.

2

(a)

If you must visit Taj Mahal, then you go to Agra.

For the following compound statement, first identify the connecting words and then break into component statement.
The sand heats up quickly in the Sun and does not cool down fast at night.

2

(a)

For the following compound statement, first identify the connecting words and then break into component statement.
x=2 and x=3 are the roots of the equation 3x² - x -10=0.

2

(a)

Write down the contrapositive of the following statements.
If Lara Dutta is Miss Universe, then she is beautiful.

2

(a)

Write down the contrapositive of the following statements.
If PT Usha stands first in 200 m race, then she will be awarded.

2

(a)

Write the negation of the following statements
Sets A and B are equal if and only if A \(\subseteq\)  B and B \(\subseteq\)  A.

2

(a)