IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 48 - 52 of 1022
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Question number: 48
Question
If p: every fraction is a rational number and q: every rational number is a fraction, then which of the following statements is/are correct?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | p is false and q is true |
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| b. | p is true and q is false |
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| c. | p and q are true |
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| d. | p and q are false |
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Question number: 49
Question
The value of X in, is________.
Choices
| Choice (4) | Response | |
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| a. |
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| b. |
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| c. | 2 |
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| d. | 4 |
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Question number: 50
Question
The value of such that and are equivalent rational numbers is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
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| b. |
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| c. |
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| d. | 3 |
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Question number: 51
Question
The value of , where|. | is absolute value of an integer is________.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 0 |
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| b. | 3 |
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| c. | 1 |
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| d. | 2 |
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Question number: 52
Question
Which of the following statements are correct?
(1). Every integer is rational number and every rational number is a fraction.
(2). A rational number is positive if and are either both positive or both negative.
(3). A rational number is negative if one of and is positive and other is negative.
(4). If there are two rational numbers with common denominator then the one with the larger numerator is larger than the other.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Statements 1 and 4 are incorrect |
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| b. | Statements 2 and 3 are incorrect |
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| c. | Statement 1 is incorrect |
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| d. | All a. , b. and c. are correct |
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