IMO- Mathematics Olympiad Class 10: Questions 623 - 629 of 908
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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 |
|
| b. | 2 |
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| c. | 0 |
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| d. | 3 |
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Question number: 625
Question
Find the sum of all four-digit natural numbers, which on being divided by 20, leave remainder equal to 5.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 69, 65, 000 |
|
| b. | 24, 70, 500 |
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| c. | 60, 27, 000 |
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| d. | 32, 23, 001 |
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Question number: 626
Question
The value of is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 97 |
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| b. | 99 |
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| c. | 96 |
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| d. | 92 |
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Question number: 627
Question
The sum of all terms of the arithmetic progression having ten terms except for the first term, is 126, and except for the sixth term, 62. Find the third term of the progression if the sum of the first and the fifth term is equal to 16.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 7 |
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| b. | 3 |
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| c. | 9 |
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| d. | 8 |
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Question number: 628
Question
The sum of the first term and the fifth term of an ascending A. P. is 30 and the product of the second term by the fourth term is 200. Find the sum of the first seven terms of this A. P
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 140 |
|
| b. | 130 |
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| c. | 190 |
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| d. | 160 |
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Question number: 629
Question
The sum of all terms of the arithmetic progression having ten terms except for the first term, is 99, and except for the sixth term, 89. Find the third term of the progression if the sum of the first and the fifth term is equal to 10.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 10 |
|
| b. | 15 |
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| c. | 5 |
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| d. | 8 |
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