GATE 2016 EE (EE2) – Question 5
General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice
If $|9y-6|=3$, then $y^2-4y/3$ is
- $0$
- $1/3$
- $-1/3$
- undefined
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Show answer and explanation
Correct answer: (C) $-1/3$
Explanation
Squaring the given equation gives (9y−6)²=9. Expand and divide by 81: y²−4y/3+4/9=1/9.
Hence y²−4y/3=−3/9=**−1/3, C**. This value is the same for both solutions y=1 and y=1/3.
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