Suppose a, b and c are three distinct natural numbers such that a + b + c = abc. Consider the following statements : 1. The arithmetic mean of a, b and c is a natural number. 2. The harmonic mean of a, b and c lies between 1 and 2. Which of the statements

examrobotsa's picture
Q: 98 (CAPF/2023)
Suppose a, b and c are three distinct natural
numbers such that a + b + c = abc.
Consider the following statements :
1. The arithmetic mean of a, b and c is a
natural number.
2. The harmonic mean of a, b and c lies
between 1 and 2.
Which of the statements given above is/are
correct?

question_subject: 

Mathematics

question_exam: 

CAPF