MCQOPTIONS
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MCQOPTIONS
This section includes 12 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 fourth term of (x – 5y)96? |
| A. | 125 96C3 x93 y3 |
| B. | 625 96C3 x93 y4 |
| C. | 625 96C4 x92 y4 |
| D. | 125 96C4 x92 y4 |
| Answer» B. 625 96C3 x93 y4 | |
| 2. |
What is the coefficient of the middle term of (z + y)3x, if 3x is considered to be even and the middle term is the 4th term? |
| A. | 7C3 |
| B. | 6C2 |
| C. | 6C3 |
| D. | 7C2 |
| Answer» B. 6C2 | |
| 3. |
What is the middle term of (xyz + 3)80? |
| A. | 80C41 (xyz)41 (3)39 |
| B. | 80C40 (xyz)40 (3)40 |
| C. | 80C39 (xyz)39 (3)40 |
| D. | 80C41 (xyz)41 (3)40 |
| Answer» C. 80C39 (xyz)39 (3)40 | |
| 4. |
If the general term is 91C2 x89, what is the expansion? |
| A. | (x)91 |
| B. | (x – 2)90 |
| C. | (x – 1)91 |
| D. | (x + 1)90 |
| Answer» D. (x + 1)90 | |
| 5. |
What is the value of n if the middle term (x + 2y)2n + 1 is the 19th term? |
| A. | 33 |
| B. | 34 |
| C. | 35 |
| D. | 38 |
| Answer» D. 38 | |
| 6. |
What is the even value of n, if the middle term of (a + b)2n – 3 is 11? |
| A. | 12 |
| B. | 2n – 3 is 11?a) 12b) 10 |
| C. | 20 |
| D. | 22 |
| Answer» B. 2n – 3 is 11?a) 12b) 10 | |
| 7. |
Which of the following values of n are possible, if the middle term of (x + 3y)n is the fifth term. |
| A. | 6, 7 or 8 |
| B. | 7, 8 or 10 |
| C. | 7, 8 or 9 |
| D. | 8, 9 or 10 |
| Answer» D. 8, 9 or 10 | |
| 8. |
What is the middle term of (x2 + x)3? |
| A. | 3x4 |
| B. | 6x4 |
| C. | 4x4 |
| D. | 3x6 |
| Answer» B. 6x4 | |
| 9. |
What is the middle term of (4 + 2x)6? |
| A. | 11240 x2 |
| B. | 10240 x3 |
| C. | 12240 x4 |
| D. | 10340 x4 |
| Answer» C. 12240 x4 | |
| 10. |
Which term will be the middle term of (xyz – x)2n? |
| A. | (n + 1)th term |
| B. | (n + 2)th term |
| C. | nth term |
| D. | (n – 1)th term |
| Answer» B. (n + 2)th term | |
| 11. |
What is the value of n, if the coefficients of the second term of (x – y)3 is equal to the third term of the expansion (x + y)n? |
| A. | –2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 12. |
What is the general term of (x – y)xy? |
| A. | x – yCr (xxy – r . yr) |
| B. | xyCr (xx – y – r . -yr) |
| C. | xyCr (xxy – r . -yr) |
| D. | x – yCr (xx – y – r . yr) |
| Answer» D. x – yCr (xx – y – r . yr) | |