It is given that 5 does not divide n - 1, n and n + 1, where n is a positive integer. Which one of the following is correct?

Consider the following statements : 1. n³ - n is divisible by 6 2. n⁵ - n is divisible by 5 3. n⁵ - 5n³ + 4n is divisible by 120 Which of the statements given above are correct ?

Consider the number N= 12⁶ × 3⁸ x 5³. Which of the following statements is/are correct ? 1. The number of odd factors of N is 60. 2. The number of even factors of N is 720. Select the correct answer…

Consider the following statements: I. Two consecutive natural numbers are always co-prime. II. If m and n are relatively prime, then m × n is always even. Which of the statements given above is/are c…

Which of the following is a prime number?

Let P = N² where N is an odd integer. What is the remainder when P is divided by 8?