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# 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

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