For the following questions answer them individually
If $$\left(\frac{a}{b}\right)^{x-1} = \left(\frac{b}{a}\right)^{x-3}$$, then the value of x is
When a number is divided by 783 it leaves a remainder 48. What will be the remainder if the same number is divided by 29?
If the GCD of two positive integers is 29 and their sum is 17 4, then their difference is
The LCM of two numbers is 20 times their HCF and the sum of their LCM and HCF is 2520. If the smaller of those numbers is 480. the ratio between the smaller and the bigger number is
A person spent $$\frac{2}{7}$$ of his salary on house rent and $$\frac{3}{5}$$ of the remaining on food and cloths. Rest he saved. If the amount he spent on food and cloths is Rs. 16500, then the amount he saved is (in rupees)
If we put $$\frac{7}{9}, \frac{6}{8}, \frac{5}{6}, \frac{4}{5}$$ in desending order, then the difference between first and second number is
What is the difference between the largest and smallest of the following rational numbers ?
$$\frac{3}{4}, \frac{13}{16}, \frac{5}{7}, \frac{97}{104}$$
If $$p = \sqrt[3]{2}, q = \sqrt[2]{3}, r = \sqrt[4]{5}$$ and $$s = \sqrt[6]{7}$$, then which one of the following ordering is true?