For the following questions answer them individually
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 :
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)
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 :
If ABCD is a cyclic quadrilateral in which $$\angle$$ABC = $$47^\circ$$ and $$\angle$$BCD = $$97^\circ$$ then $$\angle$$ADC - $$\angle$$BAD =
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) $$\frac{1}{8}$$
|
| Â | (iv) $$\frac{1}{2}$$ |
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:
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) :
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:
