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MCQOPTIONS
This section includes 74 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A man on the top of a vertical towers observes a car moving at a uniform speed coming directly towards it. if it takes 12 minute for the angle of depression to change from 30 to 45 , how soon after this will the car reach the tower ? |
| A. | 14 min 20 sec. |
| B. | 15 min 22 sec. |
| C. | 16 min. |
| D. | 16 min 23 sec. |
| Answer» E. | |
| 52. |
When the length of the shadow of a pole is equal to the height of the pole, then the elevation of source of light is : |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | 75 |
| Answer» C. 60 | |
| 53. |
The top of a |
| A. | 5 m |
| B. | 8 m |
| C. | 10 m |
| D. | 12 m |
| E. | None of these |
| Answer» D. 12 m | |
| 54. |
Two posts are |
| A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> x </center></td></tr><td>2 <span style=" text-decoration: overline;">2</span></td></table> |
| B. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> x </center></td></tr><td>4</td></table> |
| C. | x |
| D. | <span style=" text-decoration: overline;">2</span> |
| E. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> x </center></td></tr><td> <span style=" text-decoration: overline;">2</span></td></table> |
| Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> x </center></td></tr><td>4</td></table> | |
| 55. |
At a point, |
| A. | 45 |
| B. | 30 |
| C. | 60 |
| D. | 90 |
| Answer» B. 30 | |
| 56. |
A tower subtends an angle of |
| A. | h cot 60 |
| B. | h cot 30 |
| C. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">h</td><td rowspan="2">cot 60 </td></tr><tr><td>2</td></tr></table> |
| D. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">h</td><td rowspan="2">cot 30 </td></tr><tr><td>2</td></tr></table> |
| Answer» B. h cot 30 | |
| 57. |
The angle of elevation of the sun when the length of the shadow of a pole is |
| A. | 30 |
| B. | 60 |
| C. | 90 |
| D. | 45 |
| Answer» B. 60 | |
| 58. |
The angle of elevation of moon when the length of the shadow of a pole is equal to its height, is: |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | None of these |
| Answer» C. 60 | |
| 59. |
The tops of two poles of height |
| A. | 12 m |
| B. | 10 m |
| C. | 8 m |
| D. | None of these |
| Answer» B. 10 m | |
| 60. |
A man 2 m high, walks at a uniform speed of 6 m/min away from a lamp post, 5 m high. Find the rate at which the length of his shadow increases . |
| A. | 4 m/min |
| B. | 8 m/min |
| C. | 9m/min |
| D. | 14 m/min |
| Answer» B. 8 m/min | |
| 61. |
A man is observing from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45 with the man's eye when at a distance of 60 m from the tower. After 5 second, the angle of depression becomes 30 , Find the speed of the boat, assuming that it is running in still water. |
| A. | 30 km/hr. |
| B. | 31.5 km/hr |
| C. | 33 km/hr |
| D. | 34 km/hr |
| Answer» C. 33 km/hr | |
| 62. |
The angle of elevation of a ladder leaning against a wall is |
| A. | 14.8 m |
| B. | 24.8 m |
| C. | 6.2 m |
| D. | 12.4 m |
| Answer» C. 6.2 m | |
| 63. |
From a point P on a level ground, the angle of elevation of the top of a tower is 30 , if the tower is 100 m high, find the distance of point P from the foot of the tower. |
| A. | 100 m |
| B. | 173 m |
| C. | 200 m |
| D. | 273 m |
| Answer» C. 200 m | |
| 64. |
A vertical pole is 75m high. Find the angle subtended by the pole a point 75 m away from its base. |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | 90 |
| Answer» C. 60 | |
| 65. |
|
|||||||
| A. | 2 cosec A | |||||||
| B. | 2 sec A | |||||||
| C. | 2 sin A | |||||||
| D. | 2 cos A | |||||||
| Answer» B. 2 sec A | ||||||||
| 66. |
A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is |
| A. | 40 m |
| B. | 60 m |
| C. | 20 m |
| D. | 30 m |
| Answer» D. 30 m | |
| 67. |
The angle of elevation of the top of a tower at a point |
| A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">10</td><td rowspan="2"> m </td></tr><td> <span style=" text-decoration: overline;">3</span></td></table> |
| B. | <table><tr><td>20 </td><td> <span style=" text-decoration: overline;">3</span> m</td></tr></table> |
| C. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">20</td><td rowspan="2"> m </td></tr><td> <span style=" text-decoration: overline;">3</span></td></table> |
| D. | <table><tr><td>10 </td><td> <span style=" text-decoration: overline;">3</span> m</td></tr></table> |
| Answer» E. | |
| 68. |
A tower standing on a horizontal plane subtends a certain angle at a point |
| A. | 80 m |
| B. | 100 m |
| C. | 160 m |
| D. | 200 m |
| Answer» B. 100 m | |
| 69. |
From the top of a |
| A. | 40 m |
| B. | 48 m |
| C. | 50 m |
| D. | 52 m |
| Answer» D. 52 m | |
| 70. |
The angle of elevation of the top of a hill from each of the vertices |
| A. | b tan cosec B |
| B. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">a</td><td rowspan="2"> tan cosec A</td></tr><td>2</td></table> |
| C. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">c</td><td rowspan="2"> tan cosec C</td></tr><td>2</td></table> |
| D. | None of these |
| Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">c</td><td rowspan="2"> tan cosec C</td></tr><td>2</td></table> | |
| 71. |
A person standing on the bank of river finds that the angle of elevation of the top of a tower on opposite side bank is 45 . Which of the following statement is correct |
| A. | Breadth of the river is half of the height of the tower |
| B. | Breadth of the river and the height of the tower are equal |
| C. | Breadth of the river is twice the height of the tower |
| D. | None of these |
| Answer» C. Breadth of the river is twice the height of the tower | |
| 72. |
The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60 and 30 respectively. The ratio of the heights of the towers is ? |
| A. | 2 : 1 |
| B. | 3 : 1 |
| C. | 3 : 2 |
| D. | 3 : 1 |
| Answer» E. | |
| 73. |
The ratio of the length of a rod and its shadow is |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | 90 |
| Answer» B. 45 | |
| 74. |
The angle of elevation of a ladder leaning against a wall is 60 and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is |
| A. | 2.3 m |
| B. | 4.6 m |
| C. | 7.8 m |
| D. | 9.2 m |
| Answer» E. | |