Partial Fractions MCQs 10 min Score: 0 Attempted: 0/10 Subscribe 1. If the degree of numerator N(x) is equal or greater than the degree of denominator D(x), then the fraction is: (A) Proper (B) Improper (C) Neither proper nor improper (D) Both proper and improper 2. If the degree of numerator is less than the degree of denominator, then the fraction is: (A) Proper (B) Improper (C) Neither proper nor improper (D) Both proper and improper 3. The fraction (2x² + 5) / (x² + 5x + 6) is known as: (A) Proper (B) Improper (C) Both proper and improper (D) None of these 4. The number of partial fractions of (6x + 27) / (3x² – 9x) are: (A) 2 (B) 3 (C) 4 (D) None of these 5. The number of partial fractions of (2x³ – 3x² + 1) / ((x–1)(x+1)(x–1)²) are: (A) 2 (B) 3 (C) 4 (D) 5 6. The equivalent partial fraction of (2x + 11) / ((x + 1)(x – 3)) is: (A) A / (x + 1) + B / (x – 3) (B) A / (x + 1) – B / (x – 3) (C) A / (x + 1) + B / (x – 3) + C / (x – 3)² (D) (Ax + C) / (x + 1) + B / (x – 3) 7. The equivalent partial fraction of (2x² + 4) / ((x + 1)(x – 3)²) is: (A) (2x + B) / (x + 1) + (Cx + D) / (x – 3) (B) (2x + B) / (x + 1) + (Cx) / (x – 3) (C) (Ax + B) / (x + 1) + (Cx + D) / (x – 3)² (D) (Ax) / (x + 1) + (Bx) / (x – 3) 8. Partial fraction of (2x) / (x(x + 1)) is: (A) 2 / x – 1 / (x + 1) (B) 1 / x – 2 / (x + 1) (C) 2 / x – 2 / (x + 1) (D) 2 / x + 2 / (x + 1) 9. Partial fraction of (2x + 3) / ((x–2)(x + 5)) is called: (A) 2 / (x–2) + 1 / (x + 5) (B) 3 / (x–2) + 1 / (x + 5) (C) 2 / (x–2) + 3 / (x + 5) (D) 1 / (x–2) + 1 / (x + 5) 10. The fraction ((x–1)(x–2)(x–3)) / ((x–4)(x–5)(x–6)) is called: (A) Proper (B) Improper (C) Both proper and Improper (D) None of these
