TS ICET 27th July 2022 Shift-1

Reaching the place of meeting on Monday 15 minutes before 8:30 AM, Ram found himself half an hour earlier than Shyam who was 40 minutes late. What was the scheduled time of the meeting?

A, B, C, D and E sit around a round table facing the centre. A sits between E and 8, D sits immediate right of C. If B sits between A and D, then who is immediate right of E?

If the symbols $$\triangle,\Box, \odot, \diamondsuit$$ stand for the arithmetical operations of addition, subtraction, multiplication and division respectively, then $$\frac{1\triangle (402)}{(5\odot2)\Box (6\triangle 3)}$$ =

If + represents division, - represents addition, $$\times$$ represents subtraction and $$\div$$ represents multiplication, then

$$7 \div 3 - 5 \times 8 + 2 $$=

If a stands for +, $$\beta$$ stands for =, $$\gamma$$ stands for < and $$\delta$$ stands for > , then a $$\alpha$$ b $$\beta$$(2c) and b $$\gamma$$ c implies

If $$\frac{(12)^{4}.(20)^{3}.(45)^{3}}{(6)^{3}(15)^{4}(10)^{2}} = 2^{\alpha}.3^{\beta}.5^{\gamma}$$, then $$2\alpha + 3\beta + 5\gamma$$ = 

$$\frac{4.3^{n+1} + 8.3^{n-1}}{3^{n+2} + 5(\frac{1}{3})^{1-n}}$$ =

A mixture of 40 litres has milk and water in the ratio 5 : 3. If we add 2 litres of milk to that mixture, then the ratio of water to milk in the new mixture is

20 litres of a mixture contains milk and water in the ratio 3 : 1. How much litres of milk must be added to this mixture so as to have milk and water in the ratio 4 : 1?

If $$\sqrt{12 + \sqrt{140}} = \sqrt{x} + \sqrt{y}$$ and $$x < y$$, then $$3y - 2x$$ =