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SSC MTS 2020 · PYQ · Algebra · medium

If x : y : z = 1 : 2 : 3, what is the value of (x² + 2y² + z²) / (3x² − 2y² + 4z²)?

  1. A.19/31
  2. B.15/31
  3. C.18/31✓ Correct
  4. D.16/31

Explanation

Substituting x=1, y=2, z=3: numerator = 1 + 2×4 + 9 = 18; denominator = 3 − 8 + 36 = 31. So the answer is 18/31.
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