TS SI 2018

Instructions

For the following questions answer them individually

Question 11

January 1, 2018 was Monday. Then January 1, 2019 falls on the day :

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Question 12

A tent is in the shape of a cone surmountedon the top of a cylinder. Height of the cone is half that of the cylinder and the base radius of the cylinder is 3 m. If the canvas requiredfor the tent is 198 $$m^2$$, then the total height of the tent(in meters)is :

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Question 13

Three persons P, Q, R start a company with their contributions being in the ratio $$\frac{1}{3}:\frac{1}{4}:\frac{1}{5}$$. After 3 months, P withdraws half of his contribution, and after another 9 months ; a profit of ₹3,16,000 is devided among them. The share of P is:(in rupees)

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Question 14

The remainder when $$(67^{67} + 67)$$ is divided by 68 is:

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Question 15

A train starts with some number of passengers. At the first station, one third of the passengers get down from the train and 280 passengers get into the train. At the second station, half of the passengers get down and 12 passengers get in. Now,the number of passengers in the train is 248. The number of passengers in the train at the beginning is :

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Question 16

If ABCD is a cyclic quadrilateral in which $$\angle$$ABC = $$47^\circ$$  and  $$\angle$$BCD = $$97^\circ$$  then  $$\angle$$ADC - $$\angle$$BAD =

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Question 17

If $$a_1, a_2, a_3, a_4,$$ and $$a_5$$, are the decreasing order of the elements in the set $$\left\{\frac{4}{5}, \frac{2}{3}, \frac{7}{8}, \frac{3}{4}, \frac{5}{6}\right\}$$, then the correct matching of the values in List-I to those given in List-II is:

List-I List-II
(a) $$a_1 - a_4$$ (i) 1

(b) $$2a_2 - a_5$$ (ii) $$\frac{1}{3}$$

(c) $$5a_3 - 4a_1$$ (iii) $$\frac{1}{8}$$

  (iv) $$\frac{1}{2}$$

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Question 18

A and B undertake to do a workfor ₹ 6,000. A alone and alone can do that workin 6 and 8 days respectively. With thehelp of C,they have finished the work in3 days. The shareof B’s is:

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Question 19

The ages of A and B are in the ratio 2 : 5. Eight years later, the ratio of their ages will be 22 : 43. Their present ages are (in years) :

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Question 20

If P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively of a quadrilateral ABCD then the quadrilateral PORS is a:

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