61). The cost of a piece of diamond varies with the square of its weight. A diamond of Rs 5,184/- value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.
| A). Rs 3,068/- |
| B). Rs 3,088/- |
| C). Rs 3,175/- |
| D). Rs 3,168/- |
|
62). A discount of 30% on the marked price of a toy reduces its selling price by Rs 30. What is the new selling price (in Rs ) ?
| A). 70 |
| B). 21 |
| C). 130 |
| D). 100 |
|
63). The capacities of two hemispherical vessels are 6.4 litre and 21.6 litre. The ratio of their inner radii is :
| A). 4:9 |
| B). 16:81 |
| C). \( \Large \sqrt{2}:\sqrt{3} \) |
| D). 2 : 3 |
|
64). Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours Pipe A is closed, then the other pipe will fill the tank in :
| A). 6 hours |
| B). 3 \( \Large \frac{1}{2} \) hours |
| C). 4 hours |
| D). 2 \( \Large \frac{1}{2} \)hours |
|
65). The population of a town is 15,000. If the number of males increases by 8% and that of females by 10% then the population Would increase to 16,300. Find the number of females in the town
| A). 4000 |
| B). 6000 |
| C). 3000 |
| D). 5000 |
|
66). If Rs 5,000/becomes Rs 5.700/- in a year's times what will Rs 7,000/- become at the end of 5 years at the same rate of simple interest ?
| A). Rs 10,500/- |
| B). Rs 11,900/- |
| C). Rs 12,700/- |
| D). Rs 7,700/- |
|
67). A thief is noticed by a policeman from distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. The distance (in metre) between them after 6 minutes is :
| A). 190 |
| B). 200 |
| C). 100 |
| D). 150 |
|
68). 'A' sells an article to 'B' at a profit of 20% and 'B' sells it to 'C' at a profit of 25%. If 'O' pays Rs 1,200/-, the cost price of the article originally (in Rs) is :
| A). Rs 700/- |
| B). Rs 600/- |
| C). Rs 1,000/- |
| D). Rs 800/- |
|
69). A tree is broken by the wind. If the top of the tree struck the ground at an angle of 30° and at a distance of 30 m from the root, then the height of the tree is :
| A). \( \Large 25\sqrt{3}m \) |
| B). \( \Large 30\sqrt{3}m \) |
| C). \( \Large 15\sqrt{3}m \) |
| D). \( \Large 20\sqrt{3}m \) |
|
70). A farmer divides his herd of n cows among his four sons, so that the first son get one-half the herd, the second one-fourth, the third son \( \Large \frac{1}{5} \) and the fourth son 7 cows. Then the value of n is :
| A). 240 |
| B). 100 |
| C). 180 |
| D). 140 |
|
