Discussion
Home ‣ Aptitude ‣ Height and Distance Comments
- Question
A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder?
Options- A. 6.2 m
- B. 6.5 m
- C. 6.8 m
- D. 7.5 m
- Correct Answer
- 6.5 m
- 1. A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? ?
Options- A. 14 cm
- B. 13.5 cm
- C. 12.5 cm
- D. 11.4 cm Discuss
- 2. The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?
Options- A. 42.2 mts
- B. 33.45 mts
- C. 66.6 mts
- D. 58.78 mts Discuss
- 3. Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?
Options- A. 6
- B. 8
- C. 9
- D. 10 Discuss
- 4. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:
Options- A. 173 m
- B. 200 m
- C. 273 m
- D. 300 m Discuss
- 5. A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ?
Options- A. 1080 cm
- B. 180 m
- C. 108 m
- D. 118 cm Discuss
- 6. The height and the slant height of a right circular cone are 24 cm and 25 cm, respectively. Considering ? as 22/7 , find the curved surface area of the said cone.
Options- A. 550 cm2
- B. 572 cm2
- C. 528 cm2
- D. 539 cm2 Discuss
- 7. Two men standing on same side of a pillar 75 metre high, observe the angles of elevation of the top of the pillar to be 30° and 60° respectively the distance between two men is
Options- A. 100 3m
- B. 100m
- C. 753m
- D. 253m Discuss
- 8. There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?
Options- A. 7.5 km
- B. 10.5 km
- C. 12.5 km
- D. 15 km Discuss
- 9. The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is
Options- A. 17 m
- B. 27 m
- C. 25 m
- D. 30 m Discuss
- 10. A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :
Options- A. 17 m
- B. 16 m
- C. 14 m
- D. 15 m Discuss
Height and Distance problems
Search Results
Correct Answer: 12.5 cm
Explanation:
Let the required height of the building be x meter
More shadow length, More height(direct proportion)
Hence we can write as
(shadow length) 40.25 : 28.75 :: 17.5 : x
? 40.25 × x = 28.75 × 17.5
? x = 28.75 × 17.5/40.25
= 2875 × 175/40250
= 2875 × 7/1610
= 2875/230
= 575/46
= 12.5 cm
Correct Answer: 66.6 mts
Correct Answer: 8
Explanation:
Average speed = total distance / total time
Total distance covered = 6 miles; total time = 45 minutes = 0.75 hours
Average speed = 6/ 0.75 = 8 miles/hour
Correct Answer: 273 m
Correct Answer: 108 m
Explanation:
We know the rule that,
At particular time for all object , ratio of height and shadow are same.
Let the height of the pole be 'H'
Then
=> H = 108 m.
Correct Answer: 550 cm2
Correct Answer: 100 3m
Correct Answer: 12.5 km
Explanation:
Initially the person is travelling from south to north i.e. D to A
He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC
AB = 20km/hr * 15/60 hr = 5km
BC = 30 * 20/60 = 10 km
We know that distance between both the streets is DC = DB + BC
DB = AB cos 60o= 5. ½ =2.5 km
So the distance between streets = 12.5 km
Correct Answer: 25 m
Correct Answer: 17 m
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.