IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 857 - 861 of 1042
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Question 857
Question
MCQ▾A person who is 5 feet tall is standing 112 feet from the base of a tree, and the tree casts a 110 foot shadow. The person’s shadow is 11 feet in length. What is the height of the tree?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 50 feet | |
| b. | 40 feet | |
| c. | 20 feet | |
| d. | All of the above | |
Question 858
Question
MCQ▾The difference between compound interest and simple interest for 3 years@20 % p. a. is Rs. 152. What is the principal lent in each case?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1185 Rs | |
| b. | 1285 Rs | |
| c. | 11876.5 Rs | |
| d. | 1182 Rs | |
Question 859
Question
MCQ▾A merchant has 140 liters, 260 liters and 320 liters of three kinds of oil. He wants to sell the oil by filling the three kinds of oil separately in tins of equal volumes. The volume of such a tin is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 30 | |
| b. | 20 | |
| c. | 10 | |
| d. | 15 | |
Question 860
Question
MCQ▾A flagpole casts a shadow 30 feet long. A 5 foot woman standing next to the flagpole casts a shadow 6 feet long. Which proportions can be used to find the height of the flagpole?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | ||
| b. | ||
| c. | ||
| d. | ||
Question 861
Question
MCQ▾A 10 m pole casts a 3 m shadow. If, at the same time of day, a building casts a shadow of 10 m, how high is the building?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 20.52 m | |
| b. | 11 m | |
| c. | 33.33 m | |
| d. | 22.22 m | |