For the following questions answer them individually
If $$x = 17 + 12\sqrt{2}$$ then $$x^{2} + \frac{1}{x^{2}}$$
The number of divisors of 2160 which is of the form 3k, where k is a positive integer is
The remainder when 5! + 6! + 7! + ... + 100! is divided by 35 is __________
The LCM and GCD of two numbers are 4641 and 21 respectively. If one is greater than 300, then find the other number.
If the GCD of two positive integers, m, n is 5, then the GCD of 201 m and 2697n is
$$5 + \frac{1}{6 + \frac{1}{8 + \frac{1}{10}}} =$$
$$(11 \div 2\frac{1}{5}) \div \frac{11}{5}$$ of $$\div 5\frac{1}{2} -3\frac{1}{2}=$$
The ascending order of the following fractions
$$a = \frac{1}{2}; b = \frac{2}{9}; c = \frac{7}{13}; d = \frac{13}{18}$$ is
If $$a \leq b \leq c \leq d \leq e \leq a$$ and e = 39. then possible value of c is
In a mixture of 450 kg of two food grains A and B, A is 15%. How much quantity of B (in kg) is to be added to this mixture so that A will be 5% in the resulting quantity?