IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 579 - 584 of 968
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Question number: 579
Question
Walking at five-fourths of his usual speed a man covers a certain distance in five hours than the time he takes to cover the distance at his usual speed. The time taken by him to cover the distance with his usual speed is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 23 hours |
|
| b. | 22 hours |
|
| c. | 25 hours |
|
| d. | 26 hours |
|
Question number: 580
Question
A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B can do the work in ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 20 days |
|
| b. | 12 days |
|
| c. | 30 days |
|
| d. | 15 days |
|
Question number: 581
Question
Obtain the sum of all positive integers up to 2000, which are divisible by 5 and not divisible by 2
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1,00,000 |
|
| b. | 5,00,000 |
|
| c. | 3,02,000 |
|
| d. | 2,00,000 |
|
Question number: 582
Question
The sum of the first term and the fifth term of an ascending A. P. is 28 and the product of the second term by the fourth term is 180. Find the sum of the first seven terms of this A. P
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 126 |
|
| b. | 115 |
|
| c. | 133 |
|
| d. | 140 |
|
Question number: 583
Question
The value of is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1696 |
|
| b. | 1638 |
|
| c. | 1292 |
|
| d. | 3499 |
|
Question number: 584
Question
If Belongs to A. P. such that, then the value of equals ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1500 |
|
| b. | 1400 |
|
| c. | 1652 |
|
| d. | 1300 |
|