Which of the following statements is always true?
Two consecutive integers are always coprime.
Two numbers are called coprime when their highest common factor (HCF) is 1.
Multiples of the same number share that number as a factor, so they are not coprime; two distinct primes have HCF 1 and are coprime; two even numbers share the factor 2, so they are never coprime.
Any two consecutive integers n and n + 1 cannot share a common factor greater than 1, because such a factor would also have to divide their difference 1. So their HCF is always 1, making them coprime.
Hence, the correct answer is Two consecutive integers are always coprime.
Similar Questions
The number of students in a class is a prime number greater than 50 but less than 58. How many students are there in the class?
The sum of three prime numbers is 112. If one number exceeds the other by 36, what is the product of these numbers?
What is the sum of all prime numbers between 0 and 32?
Which of the following pairs of numbers are co-prime?
What is the difference between the place values of the two 3's in 935071360?
Which of the following pairs of numbers is co-prime with each other?
Find the product of the largest 4-digit number and the largest 3-digit number.
Find the values of a, b, c and d (in that order):
8675 − ab49 = 48cdFor a number to be divisible by 3, the sum of its digits must be divisible by:
Express \(0.4\overline{32}\) in the form of \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\).
Important Questions from Number System
- The number 253118139 is divisible by which of the following?
- The number of prime numbers lying between 476 and 485, both included, is:
- The product of two consecutive natural numbers is 6. The greater of the two numbers is:
- Which of the following numbers divides 386937355?
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 8317456, what will be the sum of the digits that are second from the left and second from the right?
