AP ICET 2017

A man walks at the rate of 5 kmph and arrives at the station 7 minutes after the departure of the train. If he walks at the rate of 6 kmph. he arrives at the station in 5 minute before the departure of the train. The distance (in km) he covered to reach the station is

Five persons A, B, C, D, E are sitting in a circle facing the centre. C is sitting second to the left of A. D is sitting to the immediate left of B. E is immediate neighbour of neither D nor B. Who is sitting to the immediate left of D?

For non zero real numbers a and b, define $$a \times b = \frac{1}{a} + \frac{1}{b}$$. Then $$\sum_{k = 1}^{10}\left(1\times \frac{1}{k}\right) =$$

If a $$\triangle b = a^2 + b^2 - 3 ab$$ for any real numbers a and b, then $$\left\{1 \triangle (-1)\right\} \triangle \left\{\sqrt{2} \triangle \sqrt{2}\right\} =$$

$$E \downarrow F = (E + F) + (E - F)^2; E \uparrow F = (E + F)^2 - (E - F)^2 \Rightarrow (1 \downarrow 2) \downarrow (2 \uparrow 3) =$$

$$X = \frac{a - b}{a + b}, Y = \frac{b - c}{b + c}, Z = \frac{c - a}{c + a} \Rightarrow \frac{1 + x}{1 - x}.\frac{1 + y}{1 - y}.\frac{1 + z}{1 - z} =$$

$$x^x \sqrt[n]{x} = (x\sqrt[n]{x})^x \Rightarrow x =$$

If $$a^3 + b^3 + c^3 = 8072, a : b = b : c = 3 : 2$$ then the value of a is

The cube root of a is inversely proportional to the square of b. if $$a = 8$$ when $$b = 3$$ then the value of a when $$b = \frac{3}{2}$$ is

Taking $$\sqrt{5} = 2.2360$$ the value of $$\frac{\sqrt{3 - \sqrt{5}}}{\sqrt{2} + \sqrt{7 - 3\sqrt{5}}} = $$