TS ICET 2020 Question Paper Shift-1 (1st Oct)

A person starts from his house and walks 80 meters towards West, then he walks 60 meter meters towards his left, then 80 meters towards West and then 40 meters towards South, finally, he turns right and walks 50 meters. What is the horizontal distance covered by him from his house? (in meters)

Four persons A, B, C and D live in different towns which are located as
i) B is to the South West of A;
ii) C is to the East of B and is also to the South East of A:
iii) D is to the North of C in line with B and A;
What is the direction of A relative to D?

If $$a* b = ab +\frac{1}{ab} + a + \frac{1}{b}$$ then $$(-1) * (2 * 1) = $$

If $$a \triangle b = \frac{a}{b} + \frac{b}{a}$$ and $$a * b = ab + \frac{1}{ab}$$ then $$(1 \triangle 2) * 4 =$$

If $$a \oplus b = a^{2} + b^{2}, a \ominus b = a^{2} - b^{2}$$ then $$(2 \oplus 3) \ominus 13 = $$

If $$a (\sqrt[3]{x^{2}}) + a(\sqrt[3]{x}) + c = 0$$ then $$a^{3}x^{2} + b^{3}x + c^{3} = $$

If s, t are rational numbers such that $$(3^{t-2})$$ X $$(2^{s+3})^{3} = 432$$, then 4t - 5s=

A bag contains the coins of denomination of Rs.5. Rs.2, and Rs.1 in the ratio of 2 : 3 : 5 respectively. If total value of the money in the bag is Rs.2100, then how many Rs.5 coins are there in the bag?

The shares of two persons P and Q in a company are in the ratio 3 : 7. The company have each of them 20 additional shares, as a result of which, the ratio got altered to 1 : 2. How many shares of company does Q now hold?

$$x = \sqrt[3]{p + \sqrt{p^{2} + q^{3}}} + \sqrt[3]{p - \sqrt{p^{2} + q^{3}}}$$, then $$x^{3} + 3qx - 2p = $$