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Class - 7 - Mathematics - Number System - Test -1

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1. What is the value of \( \left(\frac{3}{4} + \frac{-5}{6}\right) \times 12 \)?

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2. The multiplicative identity and additive identity for rational numbers are respectively:

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3. Which rational number lies between \( \frac{-1}{2} \) and \( \frac{-1}{3} \)?

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4. The additive inverse of \( \frac{13}{-17} \) is:

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5. The reciprocal of \( \frac{-7}{11} \) is:

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6. A ribbon is \( \frac{7}{8} \) metre long. If \( \frac{3}{10} \) metre is cut off, how much ribbon is left?

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7. What should be added to \( \frac{-7}{12} \) to get \( \frac{1}{3} \)?

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8. The rational number with numerator \( -16 \) and denominator \( 24 \) in standard form is:

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9. Which rational number is greater?

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10. Simplify: \( \frac{-3}{5} \times \frac{10}{21} \)

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11. Simplify: \( \frac{-4}{9} + \frac{5}{6} - \left(\frac{-7}{18}\right) \)

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12. Simplify: \( \frac{-8}{15} \div \frac{4}{9} \)

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13. What is \( \frac{7}{9} - \left(\frac{-5}{6}\right) \)?

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14. Which rational number has no reciprocal?

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15. A bank account balance is -₹125. A deposit of ₹360 is made, and then ₹275 is withdrawn. What is the final balance?

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