TS ICET 27th July 2022 Shift-2

There are 3 doctors having clinics in the same building. Doctor A is available between 11 AM and 3 PM on Monday, Thursday, Friday and Sunday. Doctor B is available on Tuesday, Thursday and Sunday between 10AM and 2 PM while Doctor C is available on Monday, Wednesday and Thursday between 9 AM and 12 Noon and on Friday, Saturday and Sunday between 2 PM and 4 PM. On which day at which time all the 3 doctors are available?

Six friends A, B, C, D, E and F are sitting in a row on a bench. C is left most and E is right most. If A is between D and F and B is between F and E. Who is sitting immediate right to A?

For positive integers m, n define in $$m\oplus n = 2m - n$$ and $$m * n = m + 3n$$ then $$(2 \oplus 3) * (4 \oplus 5)$$ =

If $$x* y = x + y + xy$$ and $$p \phi q= \frac{p+q}{p-q}$$, then $$(5\phi3 )(14\phi12)$$

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

If $$p = \frac{a-b}{a+b}, q = \frac{b-c}{b+c}, r = \frac{c-a}{c+a}$$, then $$\frac{1+p}{1-p}, \frac{1+q}{1-q}, \frac{1+r}{1-r}$$ =

$$\left[1 -\left\{1-\left(1+\frac{5}{7}\right)^{-1}\right\}^{-1}\right]^{-1}$$

p : q = 2 : 3; q : r = 4: 5· r : s = 3 : 7 $$\Rightarrow$$ p : q : r : s =

Rs.14700 is divided among P,Q, and R such that P got half as much as Q and Q got half as much as R. Then the amount P got (in rupees) is

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