MCQOPTIONS
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MCQOPTIONS
This section includes 10 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. |
In a game, a fair coin is tossed 6 times. Each time the coin comes up tails, A will pay Rs. 15 but if each time heads come up, A will pay nothing. Determine the probability that A will win Rs. 45 by playing the game? |
| A. | \(\frac{5}{16}\) |
| B. | \(\frac{4}{31}\) |
| C. | \(\frac{3}{7}\) |
| D. | \(\frac{12}{65}\) |
| Answer» B. \(\frac{4}{31}\) | |
| 6. |
Determine the independent term of x7 in the expansion of (3x2 + 4)12. |
| A. | 220 * 46 |
| B. | 230 |
| C. | 548* 3! |
| D. | 220 * 36 * 46 |
| Answer» E. | |
| 7. |
What is the coefficient of x9 in the expansion of (x+5)14? |
| A. | 5! * 14C6 |
| B. | 14C5 |
| C. | 54 * 14C5 |
| D. | 34 * 11C5 |
| Answer» D. 34 * 11C5 | |
| 8. |
How many 4-digit numbers can be formed by using 2, 4, 6, 8, 10, 12 without repetition of digits? |
| A. | 15 |
| B. | 42 |
| C. | 70 |
| D. | 127 |
| Answer» B. 42 | |
| 9. |
In how many ways can you select 9 cupcakes from a box containing 17 cupcakes? |
| A. | 42769 |
| B. | 45398 |
| C. | 24310 |
| D. | 36214 |
| Answer» D. 36214 | |
| 10. |
Calculate the value of 8C5. |
| A. | 79 |
| B. | 43 |
| C. | 120 |
| D. | 56 |
| Answer» E. | |