TS ICET 2014 Question Paper

If $$t_1$$ is the time elapsed between 11.10 am to 3.50 pm; and if $$t_2$$ is the time elapsed between 10.15 am to 4.05 pm, then $$t_1 : t_2 =$$

A, B, C, D and E sit around a table such that A is between B and C and is left to B: D is to the right of B; and E is between C and D. Then the person to the immediate left of C is

Given that $$a * b = \frac{a^2 + b^2}{ab}$$ and $$a \triangle b = \frac{a^2}{b}$$ for any real numbers a and b. If $$x * y = 2 \triangle 2$$, then x =

For real numbers a and b, if $$a \circle b = (ab)^{\frac{1}{5}}$$, then $$(243)\circlr(16807) =$$

If $$a \circledast b = (a + b -1)^2 - 1$$, then $$(1 \circledast 2) \circledast(3 \circledast 3) =$$

$$\left(a^{\frac{1}{z - x}}\right)^{\frac{1}{z - y}}. \left(a^{\frac{1}{x - y}}\right)^{\frac{1}{x - z}} . \left(a^{\frac{1}{y - z}}\right)^{\frac{1}{y - x}} =$$

If $$\left(\sqrt{\frac{3}{5}}\right)^a = \left(\sqrt{\frac{625}{81}}\right)^{\frac{a+3}{2}}$$, then a =

In a mixture of 35 litres the ratio of milk and water is 4: 1. If one litre of water is added to the mixture the ratio ofmilk and water in the new mixture is

The salaries of two persons are in the ratio 4: 7. Both spend 80% of their salaries and save the rest. The ratio of their savings is

If $$(\sqrt{2})^{x + 5} = (\sqrt[4]{2})^{2x^2 - 2}$$, then a value of $$(x^2 - 1)$$ is