51). When a number is increased by 24, it becomes 110% of itself. What is the number ?
| A). 288 |
| B). 360 |
| C). 216 |
| D). 240 |
|
52). Reduce 3596/4292 to lowest terms.
| A). \( \Large \frac{29}{37} \) |
| B). \( \Large \frac{17}{43} \) |
| C). \( \Large \frac{31}{37} \) |
| D). \( \Large \frac{19}{23} \) |
|
53). A does 60% of a work in 15 days. He then cells B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work ?
| A). 25 days |
| B). 20 days |
| C). 80 days |
| D). 24 days |
|
54). If cot 60°+ cosec 60° = x, then the value of x is :
| A). \( \Large \frac{1-2\sqrt{2}}{\sqrt{2}} \) |
| B). \( \Large \frac{\sqrt{3-4}}{2\sqrt{3}} \) |
| C). 1 |
| D). \( \large \sqrt{3} \) |
|
55). Two cars travel from city A to city B at a speed of 42 and 60 km/h respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between city A and city B is :
| A). 336 km |
| B). 280 km |
| C). 420 km |
| D). 224 km |
|
56). If \( \large \sqrt{\frac{1 - cos A}{2}} \)) = x, then the value of x is:
| A). cos ( \( \Large \frac{A}{2} \) ) |
| B). tan ( \( \Large \frac{A}{2} \) ) |
| C). sin ( \( \Large \frac{A}{2} \) ) |
| D). cot ( \( \Large \frac{A}{2} \) ) |
|
57). If 1 + sec A = x, then the value of x is
| A). \( \Large \frac{sin A tan A}{1 + cos A} \) |
| B). \( \large \sqrt{\frac{sin A tan A}{1 - cos A}} \) |
| C). \( \Large \frac{sin A tan A}{1 - cos A} \) |
| D). \( \large \sqrt{\frac{sin A tan A}{1 + cos A}} \) |
|
58). A cone of radius 7cm and height 12cm is completely filled with water. This water is empited into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?
| A). 16 cm |
| B). 32 cm |
| C). 5.33 cm |
| D). 8 cm |
|
59). What is the length of the side of an equilateral triangle, if its area is 64\( \large \sqrt{3} \) \( \large cm^{2} \)
| A). 8 cm |
| B). 16 cm |
| C). 16\( \large \sqrt{3} \) cm |
| D). 8\( \large \sqrt{3} \) cm |
|
60). Vendor buys pens at the rate of 4 for Rs 5 and sells at the rate of 4 for Rs 3. What will be the result?
| A). 40% gain |
| B). 66.6% loss |
| C). 66.66% gain |
| D). 40% loss |
|
