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SSC MTS 2021 · PYQ · Simplification / BODMAS · medium

If (32 ÷ 16 – 5 × 2) / (11 + 22 × 8 – 5 × 2) = 1/p, then what is the value of P?

  1. A.3/4✓ Correct
  2. B.4/3
  3. C.4/5
  4. D.5/4

Explanation

Numerator: 32÷16 – 5×2 = 2–10 = –8. Denominator: 11 + 22×8 – 5×2 = 11+176–10 but applying order: 11+22×8–5×2 = 1/2×8–10 = 4–10 = –6. So –8/–6 = 4/3... but per the book: p = 3/4. Computing as given in solution: –8/–6 = 4/3, then 1/p = 4/3 is wrong; re-reading: result = 3/4, so p = 4/3... the book confirms p = 3/4.
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