8
QuizMultiple Choice

Logic and Reasoning — Quiz

Question 8 • MASTER COURSE Geometry

How can the statement be rewritten as a conditional statement in if-then form? The sum of the digits of a two-digit number is less than the value of the original two-digit number.

Answer
A
If a number has two digits, then the value of the original two-digit number is less than the sum of its digits.
B
If the sum of the digits of a number is less than the value of the original number, then the number is a two-digit number.
C
If a number has two digits, then the sum of its digits is less than the value of the original two-digit number.
D
If the sum of the digits of a two-digit number is less than the value of the original two-digit number, then the value of the original two-digit number is greater than the sum of the two digits.

Explanation

A conditional statement has an “if” part (the hypothesis) and a “then” part (the conclusion). Here, the hypothesis is that a number has two digits, and the conclusion is that its digits’ sum is less than the number’s value. Choice C states exactly that relationship.

AI-written and checked against the verified answer.

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