MCQOPTIONS
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This section includes 14 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the real part of (9 + 3i)2? |
| A. | 81 |
| B. | 90 |
| C. | 54 |
| D. | 72 |
| Answer» E. | |
| 2. |
What is the quotient when x4 + 4x3y + 6x2y + 4xy3 + y4 is divided by (x + y)? |
| A. | (x + y)<sup>3</sup> |
| B. | x<sup>2</sup> + y<sup>2</sup> |
| C. | (x + y)<sup>2</sup> |
| D. | (x + y) |
| Answer» B. x<sup>2</sup> + y<sup>2</sup> | |
| 3. |
What is the value of ( frac{101^3-99^3+2969703 3029697}{ 101^2 99^2} )? |
| A. | 1 |
| B. | 1/200 |
| C. | 1/100 |
| D. | 1/50 |
| Answer» E. | |
| 4. |
What is the value of ( frac{7^3+2^3+84}{7^2-2^2} ) ? |
| A. | 9 ( frac{1}{2} ) |
| B. | 9 ( frac{2}{3} ) |
| C. | 9 ( frac{1}{3} ) |
| D. | 9 ( frac{1}{4} ) |
| Answer» C. 9 ( frac{1}{3} ) | |
| 5. |
What is the answer of ( frac{x^2+y^2+2xy}{x^2-y^2} )? |
| A. | (x y) (x + y)<sup>-2</sup> |
| B. | (x + y) (x y)<sup>-2</sup> |
| C. | (x + y) (x y)<sup>-1</sup> |
| D. | (x y) (x + y)<sup>-1</sup> |
| Answer» D. (x y) (x + y)<sup>-1</sup> | |
| 6. |
What is the expansion of the series (xy + 2)2? |
| A. | x<sup>2</sup> + y<sup>2</sup> + 4 |
| B. | xy<sup>2</sup> + 4 +2xy |
| C. | x<sup>2</sup>y<sup>2</sup> + 2xy + 4 |
| D. | x<sup>2</sup>y<sup>2</sup> + 4xy + 4 |
| Answer» E. | |
| 7. |
What is the remainder when (4)2n + 1 is divided by 5? |
| A. | 4 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 8. |
What are the coefficients of the first and the last term of (a + b)n? |
| A. | 2 |
| B. | 1 |
| C. | Coefficients depend on n |
| D. | 3 |
| Answer» C. Coefficients depend on n | |
| 9. |
What is the real part of (11 + i)3? |
| A. | 1331 |
| B. | 1332 |
| C. | 1328 |
| D. | 1329 |
| Answer» D. 1329 | |
| 10. |
What is the expansion of (x + y)1000? |
| A. | ( Sigma_{r = 0}^{r = 1000} )(1000Cr x<sup>r 1000</sup> y<sup>r</sup>) |
| B. | ( Sigma_{r = 0}^{r = 1000} )(100Cr x<sup>1000 r</sup> y<sup>r</sup>) |
| C. | ( Sigma_{r = 0}^{r = 999} )(1000Cr x<sup>r 1000</sup> y<sup>r</sup>) |
| D. | ( Sigma_{r = 0}^{r = 999} )(1000Cr x<sup>1000 r</sup> y<sup>r</sup>) |
| Answer» C. ( Sigma_{r = 0}^{r = 999} )(1000Cr x<sup>r 1000</sup> y<sup>r</sup>) | |
| 11. |
What is the integral part of ( 3 + 1)8? |
| A. | 1558 |
| B. | 1551 |
| C. | 1552 |
| D. | 1556 |
| Answer» D. 1556 | |
| 12. |
What is the remainder when 4103 is divided by 17? |
| A. | 10 |
| B. | 14 |
| C. | 13 |
| D. | 16 |
| Answer» E. | |
| 13. |
What is the remainder when 848 is divided by 63? |
| A. | 4 |
| B. | 2 |
| C. | 1 |
| D. | 7 |
| Answer» D. 7 | |
| 14. |
What is the coefficient of x2y2 in (x + 1)2 . (x + 1)3? |
| A. | 1 |
| B. | 5 |
| C. | 2 |
| D. | 10 |
| Answer» B. 5 | |