IMO- Mathematics Olympiad Class 10: Questions 595 - 600 of 908
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Question number: 595
Question
Let Be the arithmetic progressions such that . The sum of the first two hundred terms of the progressions is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 20000 |
|
| b. | 40000 |
|
| c. | 30000 |
|
| d. | 60000 |
|
Question number: 596
Question
The value of is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 40 |
|
| b. | 30 |
|
| c. | 20 |
|
| d. | 50 |
|
Question number: 597
Question
Four numbers are inserted between the numbers 12 and 62 such that an A. P. results. Find the biggest of these four numbers.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 62 |
|
| b. | 52 |
|
| c. | 72 |
|
| d. | 82 |
|
Question number: 598
Question
The sum of the terms of an arithmetical progression is 42. The sum of the term of the progression is 52. How do I find the first term, common difference, and sum of the ten terms of the progression?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 256 |
|
| b. | 235 |
|
| c. | 236 |
|
| d. | 267 |
|
Question number: 599
Question
Four numbers are inserted between the numbers 4 and 39 such that an A. P. results. Find the biggest of these four numbers.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 33 |
|
| b. | 30 |
|
| c. | 31 |
|
| d. | 32 |
|
Question number: 600
Question
If the sum of three consecutive terms of an increasing A. P. is 75 and the product of the first and third of these terms is 600, then the third term is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 90 |
|
| b. | 30 |
|
| c. | 50 |
|
| d. | 60 |
|