IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 825 - 829 of 1040
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Question number: 825
Question
If the cost price is 96 % of the selling price, then what is the profit percentage?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 4.17% |
|
| b. | 4.25% |
|
| c. | 5% |
|
| d. | 6.23% |
|
Question number: 826
Question
A roofer’s 29 feet ladder is against the side of a house. It is 7 yards from the ground to the top of the house. How far away from the house must he place the foot of the ladder in order to have the top of the ladder meet the roof of the house?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 10 feet |
|
| b. | 25 feet |
|
| c. | 15 feet |
|
| d. | 20 feet |
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Question number: 827
Question
The ages of two persons differ by 16 years. If 6 years ago the elder one be 3 times as old as the younger one, find their present ages.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 14 years, 30 years |
|
| b. | 15 years, 30 years |
|
| c. | 12 years, 25 years |
|
| d. | Question does not provide sufficient data or is vague |
|
Question number: 828
Question
A ladder is leaning against a house. The distance between the bases of the ladder to the house is 3 feet. The length of the ladder is 10 feet. In feet, how far above the ground does the ladder touch the house?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 10 feet |
|
| b. | 9 feet |
|
| c. | 9.5 feet |
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| d. | Question does not provide sufficient data or is vague |
|
Question number: 829
Question
If a building casts a 20 feet shadow and a flagpole casts a 7 feet shadow and the flagpole is 12 feet tall, how high is the building?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 31 feet |
|
| b. | 33 feet |
|
| c. | 34.2 feet |
|
| d. | 35 feet |
|