TS ICET 2017

Three doctors A, B and C have consultation schedule as follows :
(i) A - Tuesday and Thursday - 12.00 noon 4.00 pm.
(ii) B - Monday, Thursday, Friday - 10.00 am to 2.00 pm.
(iii) C - Monday, Wednesday, Thursday - 9.00 am to 2.00 pm.
The day and the time slot at which all of A, B, C are available is

Five persons A, B, C, D and E sit in arow on a bench such that D sits between B and E. If C and D are not together,the persons sitting on either end of the bench are

For real numbers x and y, if xoy = x + y - xy, then the number of distinct real values of x for which xox = 1 holds is

If $$E \downarrow F = (E + F) + (E - F)^2$$ and $$E \uparrow F = (E + F)^3 - (E - F)^3$$, then $$(3 \downarrow 5) \uparrow (2 \downarrow 3) =$$

If $$p = 1 + \frac{1}{2} + \frac{1}{2^2} + ..... \infty$$ and $$q = 1 + \frac{1}{3} + \frac{1}{3^2} + ..... \infty$$, then $$\frac{p + q}{pq} =$$

If $$2^x = 4^y = 8^z$$ and xyz = 288, then $$x + y + z =$$

$$x^{\frac{1}{3}} + y^{\frac{1}{3}} + z^{\frac{1}{3}} = 0 \Rightarrow \frac{x + y + z}{\sqrt[3]{xyz}} =$$

$$a : b = 2 : 5 \Rightarrow a^2 - ab + b^2 : a^2 + ab + b^2 =$$

There are 450 coins, in abag, of denominations ₹ 1, 50 p and 25 p. The ratio of their values is 2 : 3 : 4, then the number of 50 p coins is

$$\sqrt{10 + 2\sqrt{6} + 2\sqrt{10} + 2\sqrt{15}} =$$