SSC MTS 2020 · PYQ · Algebra · medium
If x : y : z = 1 : 2 : 3, what is the value of (x² + 2y² + z²) / (3x² − 2y² + 4z²)?
Answer
The correct answer is C: 18/31. Substituting x=1, y=2, z=3: numerator = 1 + 2×4 + 9 = 18; denominator = 3 − 8 + 36 = 31. So the answer is 18/31.
- A.19/31
- B.15/31
- C.18/31✓ Correct
- D.16/31
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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