If sign +, represents multiplication, x addition; - division, ÷ difference, > equal and = represents greater than, then which of the following relation is true?

If p is the difference between a number and its reciprocal and q is the difference between the square of the same number and the square of its reciprocal, then what is p⁴ + 4p² equal to ?

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…

If three times the greater of two numbers is divided by the smaller number, the quotient will be 6 and the remainder will be 6. If five times the smaller number is divided by the greater number, the…

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 ?