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Find the component statements of the following compound statements and check whether they are true or false.

100 is divisible by 3, 11 and 5.

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#### Solution

The component statements are as follows.

*p*: 100 is divisible by 3.

*q*: 100 is divisible by 11.

*r*: 100 is divisible by 5.

Here, the statements, *p* and *q*, are false and statement *r* is true

Concept: New Statements from Old

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