IMO- Mathematics Olympiad Class 10: Questions 619 - 624 of 958
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Question number: 619
Question
A number 100 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 30 |
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| b. | 60 |
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| c. | 10 |
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| d. | 40 |
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Question number: 620
Question
If six numbers are in A. P. such that their sum is 30 and the greatest number is 6 times the least, then the numbers are ________
Choices
| Choice (4) | Response | |
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| a. |
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| b. |
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| c. |
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Question number: 621
Question
A number 196 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 70 |
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| b. | 28 |
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| c. | 42 |
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| d. | 56 |
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Question number: 622
Question
If , then is equal to ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1228 |
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| b. | 1428 |
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| c. | 1328 |
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| d. | 1128 |
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Question number: 623
Question
Find the sum of all three-digit natural numbers, which on being divided by 4, leave remainder equal to 2.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1, 99, 270 |
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| b. | 4, 41, 680 |
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| c. | 1, 94, 780 |
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| d. | 1, 23, 525 |
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Question number: 624
Question
If the sum of terms of an A. P. are respectively, then is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1 |
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| b. | 2 |
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| c. | 0 |
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| d. | 3 |
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