MCQ practice · SSC General Mathematics Board questions · Chapter 3: Algebraic Expressions
If F(y) = y⁴ + 5y² − 3, what is the value of F(−1)?
Think it through first, then pick an option.
- a −9
- b −7
- c 3
- d 4
Answer and explanation
Correct answer: c 3
F(−1) = 1 + 5 − 3 = 3.
Why the other options are wrong
- a −9: −9 comes from treating (−1)⁴ as −1. An even power of a negative number is positive: (−1)⁴ = 1.
- b −7: −7 comes from treating 5y² as −5. Since (−1)² = 1, the term 5y² is +5.
- d 4: Adding 1 + 5 − 3 gives 3, not 4; the slip is in the last step.
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