Question

The compound statement with ‘Or’ is true if ________ its component statements are __________

(a) all, true

(b) all, false

(c) any, false

(d) any, true

This question was posed to me by my college professor while I was bunking the class.

My enquiry is from Mathematical Reasoning topic in portion Mathematical Reasoning of Mathematics – Class 11

Answer 1

Right option is (d) any, true

Explanation: The compound statement with ‘Or’ can be true if any of its component statements are true. All component statements can be true. In such a case also, the compound statement will be true.