AP ICET 11th September 2020 Shift-2

The difference of times of arrival of two buses A and B at Vijayawada bus stand is 43 minutes. A came to the bus stand 32 minute later than its scheduled time. After that B arrived to the bus stand 20 minutes before its scheduled time 10.42 A.M. Then the scheduled time of arrival of bus A at the bus stand is

When I arrived at a local station, I saw in the notice board that the next train will come at 14.35 hrs with a late of 12 min. If the local trains come to the station at intervals of 30 minutes, then the scheduled departure of the previous train is

If A, M, D, S denote Addition, Multiplication, Division and Subtraction respectively, then
$$[20S \left\{(6M4)D4 \right\}A7] = ?$$

If $$xy \neq 0$$ and $$x * y = 1 + \frac{1}{xy}$$, then $$\sum_{a =1}^{2020}(\frac{1}{a^{2}} * a)$$

$$a = \frac{1}{2}, b = \frac{1}{3}, x = \sum_{n = 0}^{\infty} a^{n}, y = \sum_{n = 0}^{\infty} b^{n}$$, then $$\frac{x+y}{x-y} = ?$$

$$\frac{1}{x^{a-b} + x^{a-c}+1} + \frac{1}{x^{b-c} + x^{b-a}+1} + \frac{1}{x^{c-a} + x^{c-b}+1}=$$

If $$x$$, y, z are real numbers and not all zero and $$x + y + z = 0$$, then $$\frac{x^{2} + y^{2} + z^{2}}{(x - y)^{2} + (y - z)^{2} + (z - x)^{2}}$$

Rs. 6,624 is divided among P, Q and R so that the ratio of P's to Q's share is 2:1 and that of Q's to R's share is 6:5. Then the share (in rupees) of Q is

At a certain function the ratio of gents and ladies was 1 : 2. But when 2 gents and 2 ladies left the function, the ratio became 1 : 3. How many people were present at the function in the beginning?

If $$a = \sqrt{2} + \sqrt{3}$$ then $$a^{3} + \frac{1}{a^{3}} =$$