Explore topic-wise MCQs in Discrete Mathematics.

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