AP ICET 2nd May 2018 Shift-2

Anita left home for the bus stop 20 minutes late than usual. It takes 15 minutes to reach the bus stop. If she reached the bus stop at 8.30 am. at what time does she usually leave home for the busstop.

Five persons A, B, C, D and E sit around a table such that A is diagonally opposite to E; C and D are oneitherside of A. If there is only one person D to the right A, the anti clockwise order in which they sits is

If $$x \triangle y = (x - 2y) + 2xy$$, then a zero value of x such that $$x \triangle x = 0$$is 

Consider the string of letters given below:
BCDEOEOONQRSOVOVOOBKBOBOO
How many letters are immediately preceded by two O’s and immediately followed by no O’s

If $$\alpha$$ means $$(  )$$

$$\beta$$ means $$\div$$

$$\gamma$$ means $$+$$

$$\delta$$ means $$-$$

$$\wedge$$ means $$X$$

then find the value of $$2 \wedge 3 \gamma 4 \delta 8 \beta 2 \gamma 4 \wedge 3$$

$$\frac{1}{a^{x - y} + a^{x - z} + 1} + \frac{1}{a^{y - z} + a^{y - x} + 1} + \frac{1}{a^{z - x} + a^{z - y} + 1} =$$

For $$a \neq 0$$, $$\left(\frac{1}{1 + a^2 + a^{-2}} + \frac{1}{1 + a^{-2} + a^{-4}}\right)^{-1} - 1 =$$

$$a : b :: 2 : 3;  b : c :: 4 : 5 \Rightarrow a + b : b + c =$$

In an alloy of 35 kgs the ratio of two metals A and B is 4 : 1. If 1 kg of metal B is added then the ratio of A and B in the new allow is

$$\sqrt[4]{17 + 12\sqrt{2}} =$$