Given below are two statements
p : 25 is a multiple of 5.
q : 25 is a multiple of 8.
Write the compound statements connecting these two statements with ‘And’ and ‘Or’. In both cases check the validity of the compound statement.

Solution:

Let us write the compound statements with "and" and "or" and then see whether each of them is true or false.

• The compound statement with ‘And’ is (connect the given two statements with "and"):
  ‘25 is a multiple of 5 and 8’
  This is a false statement, since 25 is not a multiple of 8.
   
• The compound statement with ‘Or’ is (connect the given two statements with "or"):
  ‘25 is a multiple of 5 or 8’
  This is a true statement, since 25 is a multiple of 5 but it is not a multiple of 8

NCERT Solutions Class 11 Maths Chapter 14 Exercise ME Question 5

Given below are two statements p : 25 is a multiple of 5. q : 25 is a multiple of 8. Write the compound statements connecting these two statements with ‘And’ and ‘Or’. In both cases check the validity of the compound statement

Summary:

The compound statement with ‘And’ is: 25 is a multiple of 5 and 8. This is a false statement, since 25 is not a multiple of 8. The compound statement with ‘Or’ is: 25 is a multiple of 5 or 8. This is a true statement, since 25 is a multiple of 5 but it is not a multiple of 8