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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. |
What is the middle term in the expansion of (x/2 + 6y)8? |
A. | 45360x4 |
B. | 34210x3 |
C. | 1207x4 |
D. | 3250x5 |
Answer» B. 34210x3 | |
2. |
Determine the 7th term in the expansion of (x-2y)12. |
A. | 6128y7 |
B. | 59136y6 |
C. | 52632x6 |
D. | 39861y5 |
Answer» C. 52632x6 | |
3. |
Find the coefficient of x7 in (x+4)9. |
A. | 523001 |
B. | 428700 |
C. | 327640 |
D. | 129024 |
Answer» E. | |
4. |
Evaluate the expression (y+1)4 – (y-1)4. |
A. | 3y2 + 2y5 |
B. | 7(y4 + y2 + y) |
C. | 8(y3 + y1) |
D. | y + y2 + y3 |
Answer» D. y + y2 + y3 | |
5. |
By the expression \(\left(\frac{x}{3} + \frac{1}{x}\right)^5\), evaluate the middle term in the expression. |
A. | 10*(x5) |
B. | \(\frac{1}{5}*(\frac{x}{4})\) |
C. | 10*(\(\frac{x}{3}\)) |
D. | 6*(x3) |
Answer» D. 6*(x3) | |
6. |
In earlier days, there was a chance to make a telephone call would be of 0.6. Determine the probability when it could make 11 successes in 20 attempts of phone call. |
A. | 0.2783 |
B. | 0.2013 |
C. | 0.1597 |
D. | 3.8561 |
Answer» D. 3.8561 | |
7. |
Determine the probability when a die is thrown 2 times such that there are no fours and no fives occur? |
A. | \(\frac{4}{9}\) |
B. | \(\frac{56}{89}\) |
C. | \(\frac{13}{46}\) |
D. | \(\frac{3}{97}\) |
Answer» B. \(\frac{56}{89}\) | |
8. |
When a programmer compiles her code there is a 95% chance of finding a bug every time. It takes three hours to rewrite her code when she finds out a bug. Determine the probability such that she will finish her coding by the end of her workday. (Assume, a workday is 7 hours) |
A. | 0.065 |
B. | 0.344 |
C. | 0.2 |
D. | 3.13 |
Answer» D. 3.13 | |
9. |
A fair coin is tossed 15 times. Determine the probability in which no heads turned up. |
A. | 2.549 * 10-3 |
B. | 0.976 |
C. | 3.051 * 10-5 |
D. | 5.471 |
Answer» D. 5.471 | |
10. |
In a blindfolded game, a boy can hit the target 8 times out of 12. If he fired 8 shots, find out the probability of more than 4 hits? |
A. | 2.53 |
B. | 0.1369 |
C. | 0.5938 |
D. | 3.998 |
Answer» D. 3.998 | |