TS ICET 2018 Shift 2

A local train leaves the station at regular intervals of 45 minutes. Arriving at the station a person realized that the last train left 15 minutes back and next train is at 8.45 am. When did the personarrive at the station?

Six friends A. B. C, D. E and F sit around a circle facing the center such that (i) A is between C and E: (ii) E is between D and F: (iii) B is between C and F and to the left of C. Whois sitting between A and B?

Let the symbols $$\alpha, \beta, \gamma$$ and $$\delta$$ denote the arithmetic operations of addition. subtraction, multiplication and division respectively. Then,
$$100 \alpha 10 \delta 5 \beta 15 \gamma 5$$

For two non-zero numbers m and n define * by:
$$m * n = \frac{1}{mn} + 1$$, then
$$\sum_{k=1}^{2018}\left(\frac{1}{k^2} * k\right) =$$

For integers x and y define * by
$$x * y = (x + y)^2 - (x - y)^2$$ and $$x \triangle y = (x + y)^3 + (x - y)^3$$, then $$(3 * 5) * (1 \triangle 2) =$$

$$(a^m)^n = a^{m^n} \Rightarrow m =$$

$$2^{x^2 - 4} = \frac{1}{16^{(10 - 3x)}} \Rightarrow x =$$

20 men can do a piece of work in 10 days working 6 hours a day. How many men are needed to complete double the work in 8 days working 10 hours a day?

If the ratio of the areas of two squaresis 4:7 then the ratio of the perimeters of the squares is?

$$x = 5 - 2\sqrt{6} \Rightarrow \sqrt{x} - \frac{1}{\sqrt{x}} =$$