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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. | |