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Class 9 Mathematics - Number System - Test - 1
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1. Which of the following is arranged in ascending order?
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2. Which decimal represents a rational number?
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3. If \( x = 0.\overline{6} \), then \( x \) equals:
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4. If \( 3 + \sqrt{5} \) is multiplied by \( 3 - \sqrt{5} \), the result is:
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5. Which of the following numbers is the smallest?
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6. Which of the following is an irrational number between \( 3 \) and \( 4 \)?
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7. Which of the following is a rational number between \( \frac{2}{5} \) and \( \frac{3}{5} \)?
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8. Which statement is correct about \( \pi \)?
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9. If \( a = 2 + \sqrt{3} \), then \( \frac{1}{a} \) is:
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10. Which of the following is a rationalising factor of \( \sqrt{11} + \sqrt{7} \)?
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11. What is the value of \( \left(\sqrt{3} + \sqrt{2}\right)^2 - \left(\sqrt{3} - \sqrt{2}\right)^2 \)?
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12. \( \sqrt{0.04} \) is equal to:
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13. The value of \( \sqrt{2} + \sqrt{8} \) is:
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14. Which of the following is true?
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15. Simplify: \( \frac{1}{\sqrt{5} + 2} \)
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