AP ICET 2017 Shift 2

Two trains arrived at a station at 9:30 AM and 10:00 AM with 47 minutes and 22 minutes late respectively. Then the time difference between their scheduled arrivals at the station is

A, B, C, D, E sit around a round table facing the centre. E sits between D and A, C is the immediate right of B, and A sits between E and C. Then the person to the immediate right of D is

If $$*$$ represents multiplication. $$\otimes$$ represents addition. $$\triangle$$ represents division and $$\triangledown$$ represents subtraction, then
$$7 \triangledown 8 \triangle 2 * 5 \otimes 3 = ?$$

$$x \otimes y = 2x + 3y + 4, x \odot y = xy + 3 \Rightarrow (2 \otimes 3)\odot(3 \otimes 4) =$$

If $$x t y = x^2 - y^2$$ and $$x s y = x^2 + y^2$$, then the digit in 10's place of (4 s y) t (2 s 3) is

If $$a \neq b$$ and $$ab \neq 0$$ then $$\left\{\frac{(ab)^{\frac{1}{4}} - b^{\frac{1}{2}}}{a^{\frac{1}{2}} - (ab)^{\frac{1}{4}}}\right\}^{-4} = $$

$$24^7.75^9.40^8 = 2^x.3^y.5^z \Rightarrow x + y + z =$$

A and B have savings in the ratio 4:5. They decided to buy a gift sharing its cost in the ratio 3:4. If A spent $$\frac{2}{3}$$ of his savings while B is left with Rs 145 after they purchased the gift, then the value of the gift (in rupees) is

$$x = 2\sqrt{2} + \sqrt{7} \Rightarrow \frac{1}{\sqrt{2}}\left(x + \frac{1}{x}\right) = $$

$$(4 + \sqrt{15})^{\frac{3}{2}} + (4 - \sqrt{15})^{\frac{3}{2}} = p\sqrt{10} \Rightarrow p =$$