AP ICET 10th September 2020 Shift-1

A person A has come to a meeting 45 minutes late but 33 minutes before the arrival of B who has arrived 56 minutes later than C. If C came to the meeting at 11:07 AM, the meeting is scheduled at

Six people A, B, C, D, E and F are sitting for a meeting around round table facing the centre of the table. D is to the right of A and left of E. B is to the right of C and left of A If F is opposite to A. Who is sitting to the right of F?

If '+' means '-', '-' means '$$\times$$', '$$\div$$' means '+' and '$$\times$$' means '$$\div$$', then what is the value of $$15 - 3 + 10 \times 5 \div 5$$

$$f(x) = (x + 1)^2, g(x) = (x - 1)^2, h(x) = \frac{x}{2}$$ then, $$f\left(g(h(-1))\right) = ?$$

For any integers m and n, define $$m * n = 2n^2 + 3m, m \alpha n = \frac{4n}{(3m + 3)}$$ and $$m \beta n = 5n(2m - 1)$$, then $$8 * (9 \alpha (7 \beta 6)) = ?$$

If $$x, y$$ are rational number such that $$(3^{x + 1})^4.2^{3y} = 108$$, then $$3x + 4y =$$

If $$2^a \times 3^b \times 5^c = 40500$$, then $$a^a \times b^b \times c^c = $$

If $$4A = 7B$$ and $$5B = 9C$$, then $$A : C =$$

35 litres of mixture contains milk and water in the ratio 4 : 1. How much water (in ltrs) is to be added to this mixture so as to have milk and water in the ratio 2 : 1?

$$\frac{2}{\sqrt{10 + 2\sqrt{21}}} - \frac{1}{\sqrt{12 - 2\sqrt{35}}} + \frac{1}{\sqrt{8 - 2\sqrt{15}}} =$$