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CDS 2025 · PYQ · Number System / Recurring Decimals · medium

If p = 0.0\overline{9}, then what is the value of 70p² + 43p − 5?

  1. A.−1
  2. B.0✓ Correct
  3. C.1
  4. D.10

Explanation

p = 0.0999... = 0.1 (since 0.0999... = 1/10). Then 70(0.01) + 43(0.1) − 5 = 0.7 + 4.3 − 5 = 0.
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