Explore topic-wise MCQs in Discrete Mathematics.

This section includes 119 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.

101.

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. 2.530
B. 0.1369
C. 0.5938
D. 3.998
Answer» D. 3.998
102.

During a month with 30 days, a cricket team plays at least one game a day, but no more than 45 games. There must be a period of some number of consecutive days during which the team must play exactly ______ number of games.

A. 17
B. 46
C. 124
D. 24
Answer» E.
103.

Determine the solution for the recurrence relation bₙ=8bₙ₋₁−12bₙ₋₂ with b₀=3 and b₁=4.

A. 7/2*2ⁿ−1/2*6ⁿ
B. 2/3*7ⁿ-5*4ⁿ
C. 4!*6ⁿ
D. 2/8ⁿ
Answer» B. 2/3*7ⁿ-5*4ⁿ
104.

Assume that it is an afternoon. What is the time on the 24 hour clock after 146 hours?

A. 12:10 pm
B. 8:30 am
C. 3 am
D. 2 pm
Answer» E.
105.

How many numbers must be selected from the set {1, 2, 3, 4} to guarantee that at least one pair of these numbers add up to 7?

A. 14
B. 5
C. 9
D. 24
Answer» C. 9
106.

Determine all possibilities for the solution set of the homogeneous system that has y₁ = 6, y₂ = −4, y₃ = 0 as a solution.

A. zero
B. infinitely many
C. finitely many
D. only one
Answer» C. finitely many
107.

What is the solution to the recurrence relation aₙ=5aₙ₋₁+6aₙ₋₂?

A. 2n²
B. 6n
C. (3/2)n
D. n!*3
Answer» C. (3/2)n
108.

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.
109.

In a playground, 3 sisters and 8 other girls are playing together. In a particular game, how many ways can all the girls be seated in a circular order so that the three sisters are not seated together?

A. 457993
B. 3386880
C. 6544873
D. 56549
Answer» C. 6544873
110.

How many even 4 digit whole numbers are there?

A. 1358
B. 7250
C. 4500
D. 3600
Answer» D. 3600
111.

Amit must choose a seven-digit PIN number and each digit can be chosen from 0 to 9. How many different possible PIN numbers can Amit choose?

A. 10000000
B. 9900000
C. 67285000
D. 39654900
Answer» B. 9900000
112.

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
113.

Neela has twelve different skirts, ten different tops, eight different pairs of shoes, three different necklaces and five different bracelets. In how many ways can Neela dress up?

A. 50057
B. 14400
C. 34870
D. 56732
Answer» C. 34870
114.

How many words with seven letters are there that start with a vowel and end with an A? Note that they don’t have to be real words and letters can be repeated.

A. 45087902
B. 64387659
C. 12765800
D. 59406880
Answer» E.
115.

In a multiple-choice question paper of 15 questions, the answers can be A, B, C or D. The number of different ways of answering the question paper are ________

A. 65536 x 4⁷
B. 194536 x 4⁵
C. 23650 x 4⁹
D. 11287435
Answer» B. 194536 x 4⁵
116.

How many five-digit numbers can be made from the digits 1 to 7 if repetition is allowed?

A. 16807
B. 54629
C. 23467
D. 32354
Answer» B. 54629
117.

There are two different Geography books, five different Natural Sciences books, three different History books and four different Mathematics books on a shelf. In how many different ways can they be arranged if all the books of the same subjects stand together?

A. 353450
B. 638364
C. 829440
D. 768700
Answer» D. 768700
118.

The code for a safe is of the form PPPQQQQ where P is any number from 0 to 9 and Q represents the letters of the alphabet. How many codes are possible for each of the following cases? Note that the digits and letters of the alphabet can be repeated.

A. 874261140
B. 537856330
C. 549872700
D. 456976000
Answer» E.
119.

For her English literature course, Ruchika has to choose one novel to study from a list of ten, one poem from a list of fifteen and one short story from a list of seven. How many different choices does Rachel have?

A. 34900
B. 26500
C. 12000
D. 10500
Answer» E.