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For the following questions answer them individually
If $$x = \sqrt{3} + \sqrt{2}$$, then $$x^{3} + \frac{1}{x^{3}} =$$
The least values of $$x$$ and y, respectively, so that 7$$x$$342y is divisible by 88 are
A natural number m is multiplied by 11 and then 22 is added to the product. The result is a multiple of 17, Then the smallest value of m is
The smallest positive integer which is perfect square and is also divisible by 15, 18 and 24 is
The smallest positive integer which when subtracted from 3000 is divisible by 7, 11 and 13
If 3.8$$\overline{12} = \frac{p}{q}$$ where p, q are positive integers with no common factors, except 1, then 2q + p =
If the reciprocal of the sum of the reciprocals of $$\frac{3}{5},\frac{5}{7},\frac{4}{9}$$ is $$\frac{p}{q}$$ when p, q positive integers with GCD 1, then 3q - 5p =
The biggest number among the following is
$$\sqrt{10} - 3, \sqrt{13} - 2\sqrt{3}, \sqrt{5} - 2, 3 -2\sqrt{2}$$
$$\frac{(1.73)^{2}-(1.73)(1.27)+(1.27)^{2}}{(1.73)^{3} + (1.27)^{3}}$$
If p% of 96 is equal to q% of 21, then $$\frac{1}{3p}$$% of 5q is equal to
Day-wise Structured & Planned Preparation Guide
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