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This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
The independent term of x is 80000 in the expansion of (3x+b/x)6, where b is a positive constant. What the value of b? |
A. | 3.97 |
B. | 6.87 |
C. | 8.3 |
D. | 5.2 |
Answer» E. | |
2. |
The last digit of the number (( ( sqrt{51} ) + 1)51 ( sqrt{51} ) 1)51 is _______ |
A. | 32 |
B. | 8 |
C. | 51 |
D. | 1 |
Answer» C. 51 | |
3. |
Determine the coefficient of the x5y7 term in the polynomial expansion of (m+n)12. |
A. | 792 |
B. | 439 |
C. | 382 |
D. | 630 |
Answer» B. 439 | |
4. |
Find the coefficient of x8 in the expansion of (x+2)11. |
A. | 640 |
B. | 326 |
C. | 1320 |
D. | 456 |
Answer» D. 456 | |
5. |
Determine the independent term of x7 in the expansion of (3x2 + 4)12. |
A. | 220 * 4<sup>6</sup> |
B. | 230 |
C. | 548* 3! |
D. | 220 * 3<sup>6</sup> * 4<sup>6</sup> |
Answer» E. | |
6. |
What is the coefficient of x9 in the expansion of (x+5)14? |
A. | 5! * <sup>14</sup>C<sub>6</sub> |
B. | <sup>14</sup>C<sub>5</sub> |
C. | 54 * <sup>14</sup>C<sub>5</sub> |
D. | 34 * <sup>11</sup>C<sub>5</sub> |
Answer» D. 34 * <sup>11</sup>C<sub>5</sub> | |
7. |
Calculate the value of 8C5. |
A. | 79 |
B. | 43 |
C. | 120 |
D. | 56 |
Answer» E. | |