For the following questions answer them individually
If $$x = \left(\sqrt2 - 1\right)^{-\frac{1}{2}}$$ then the value of $$\left(x^2 - \frac{1}{x^2}\right)$$ is
$$\frac{3}{4}\left(1 + \frac{1}{3}\right)\left(1 + \frac{2}{3}\right)\left(1 - \frac{2}{5}\right)\left(1 + \frac{6}{7}\right)\left(1 - \frac{12}{13}\right)$$ is equal to
$$\frac{(0.87)^3 + (0.13)^3}{(0.87)^2 + (0.13)^2 - (0.87) \times (0.13)}$$ is equal to
If $$x^2 + y^2 - 2x + 6y + 10 = 0$$, then the value of $$(x^2 + y^2)$$ is
The largest among the numbers $$\sqrt{7} - \sqrt{5}, \sqrt{5} - \sqrt{3}, \sqrt{9} - \sqrt{7}, \sqrt{11} - \sqrt{9}$$ is
If $$x^{\frac{1}{3}} + y^{\frac{1}{3}} = z^{\frac{1}{3}}$$, then $$(x + y - z)^3 + 27 xyz$$ is equal to
If $$\sqrt{7\sqrt{7\sqrt{7\sqrt{7....}}}} = (343)^{y - 1}$$, then y is equal to
The missing term in the sequence 2, 3, 5, 7,11, ... 17, 19 is
The wrong number in the sequence 8, 13, 21, 32, 47, 63, 83 is
Day-wise Structured & Planned Preparation Guide
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