Question

The compound statement with ‘And’ is false if ________ of its component statements are __________

(a) all, true

(b) all, false

(c) any, false

(d) any, true

The question was posed to me by my school teacher while I was bunking the class.

Enquiry is from Mathematical Reasoning in portion Mathematical Reasoning of Mathematics – Class 11

Answer 1

Right answer is (c) any, false

The best I can explain: The compound statement with ‘And’ can be false if any of its component statements are false. All component statements can be false. In such case also, the compound statement will be false.