IMO- Mathematics Olympiad Class 10: Questions 17 - 23 of 958
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Question number: 17
Question
is integers, none of which are divisible by 4. The remainder when is divided by 4 is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1 or 2 |
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| b. | 1 |
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| c. | 0 |
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| d. | 0 or 1 |
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Question number: 18
Question
Sum of squares of the two consecutive natural numbers is 421. The two consecutive numbers respectively________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 14 and 15 |
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| b. | 34 and 35 |
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| c. | 21 and 22 |
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| d. | 67 and 68 |
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Question number: 19
Question
Given that H. C. F, find L. C. M.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 19584 |
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| b. | 22513 |
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| c. | 21390 |
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| d. | 23625 |
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Question number: 20
Question
Given that H. C. F, find L. C. M.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 100620 |
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| b. | 100420 |
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| c. | 100520 |
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| d. | 100320 |
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Question number: 21
Question
Rational number between and is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
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| b. |
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| c. |
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| d. |
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Question number: 22
Question
A eight digit number is a multiple of 73 and 137. If the second digit from left is 7, then 6th digit from the left of the number is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 3 |
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| b. | 5 |
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| c. | 7 |
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| d. | 9 |
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Question number: 23
Question
is ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | An integer |
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| b. | A natural number |
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| c. | An irrational number |
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| d. | A rational number |
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