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- Question
Three friends J, K and L jog around a circular stadium and complete one round in 12, 18 and 20 seconds respectively. In how many minutes will all the three meet again at the starting point.
Options- A. 5
- B. 8
- C. 12
- D. 3
- Correct Answer
- 3
ExplanationAll the three friends will meet at the starting point again after X seconds, such that X is the LCM of the times taken by J, K and L to complete one round.
=> LCM of 12, 18 and 20 = 180 seconds = 3 minutes.
Hence 3 minutes is the answer.
- 1. What is the LCM of 120 and 450?
Options- A. 2400
- B. 1800
- C. 3600
- D. 4800 Discuss
- 2. What is the HCF (highest common factor) of 133 and 112?
Options- A. 15
- B. 7
- C. 19
- D. 6 Discuss
- 3. What is the LCM (least common multiple) of 57 and 93?
Options- A. 1767
- B. 1567
- C. 1576
- D. 1919 Discuss
- 4. The LCM of 16, 24, 36, 52 and 54 is?
Options- A. 5618
- B. 5216
- C. 432
- D. 5616 Discuss
- 5. What is the LCM of 64 and 56?
Options- A. 448
- B. 488
- C. 484
- D. 408 Discuss
- 6. If an object travels at five feet per second, how many feet does it travel in one hour?
Options- A. 30
- B. 3000
- C. 18
- D. 1800 Discuss
- 7. An observer 1.6 m tall is 20 3 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:
Options- A. 21.6 m
- B. 23.2 m
- C. 24.72 m
- D. None of these Discuss
- 8. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?
Options- A. Data inadequate
- B. 8 units
- C. 12 units
- D. None of these Discuss
- 9. 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
- 10. 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
Search Results
Correct Answer: 1800
Correct Answer: 7
Correct Answer: 1767
Correct Answer: 5616
Correct Answer: 448
Correct Answer: 1800
Correct Answer: 21.6 m
Correct Answer: Data inadequate
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: 273 m
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