Professional Discrete Math Interview Questions & Answers:

1. Give range for the following six values 2, 7, 11, 19, 25, 33:

31.

2. If card punch operator can process 80 cards in half an hour How many cards can this process in 7hr 30min?

1200.

3. Converse of this theorem is: if the sum of the squares of two sides of a triangle equal the square of the third side then the triangle is a right triangle. What is the name of the theorem?

Pythagorean Theorem.

4. In normal distribution, approximately what percentage of the cases, to the nearest whole number, falls within 4 standard deviations of the mean?

100%

5. In certain company 20% of the men and 40% of the women attended the annual company picnic. If 35% of all the employees are men .What % of all the employee went to the picnic?

33%.

6. In what ways do you use math in your daily life Sam?

Since I am at college to study mathematics I would say that my daily life revolves around mathematics.

7. A computer tape library there are two racks with 40 tapes per rack.In a given day 30 tapes are in use . What fraction remains in the rack?

5/8

8. If a 12 shell cupboard requires 18 ft of wall space then how much wall space would a 30 cup shelf require?

45.

9. Computer printer produces 176400 lines in a given day. If the printer is in operation for 7 hrs during the day how many lines did it print per minute?

420.

10. A man owns 2/3 of a computer service buroue business and sells 3/4 of his share for $75000.What is the value of the business?

150,000.

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11. If a 16 story building has 12000ft on each floor. Company A rents 7 floors and company B rents 4 floors. What is the number of square feet of unrented floor space?

60000 sqft.

12. During given week a programmer spend 1/4 of his time preparing charts,3/8 of his time for coding,rest of his time for debugging the programs.If he had 48 hrs during the week how many hours did he spend debugging the program?

18hrs.

13. What types of tools or measuring devices do you use related to math?

No devices use for measuring in math.

14. What types of math do you use? Re: Calculus, Algebra, Fractions?

Every type. I am in calculus right now and it uses every time of mathematics that I have leaned previously.

15. The set difference of the set A with null set is ________.
a) A
b) null
c) U
d) B

a) A

16. The bit strings for the sets are 1111100000 and 1010101010. The union of these sets is ____________.
a) 1010100000
b) 1010101101
c) 1111111100
d) 1111101010

d) 1111101010

17. The complement of the set A is _____________.
a) A - B
b) U - A
c) A - U
d) B - A

b) U - A

18. Let Ai = {i, i+1, i+2, …..}. Then set {n, n+1, n+2, n+3, …..} is the _________ of the set Ai.
a) Union
b) Intersection
c) Set Difference
d) Disjoint

b) Intersection

19. The difference of {1, 2, 3} and {1, 2, 5} is the set _________.
a) {1}
b) {5}
c) {3}
d) {2}

c) {3}

20. The bit string for the set {2, 4, 6, 8, 10} (with universal set of natural numbers less than or equal to 10) is ____________________.
a) 0101010101
b) 1010101010
c) 1010010101
d) 0010010101

a) 0101010101

21. Two sets are called disjoint if there _____________ is the empty set.
a) Union
b) Difference
c) Intersection
d) Complement

c) Intersection

22. Which of the following two sets are disjoint?
a) {1, 3, 5} and {1, 3, 6}
b) {1, 2, 3} and {1, 2, 3}
c) {1, 3, 5} and {2, 3, 4}
d) {1, 3, 5} and {2, 4, 6}

d) {1, 3, 5} and {2, 4, 6}

23. The union of the sets {1, 2, 5} and {1, 2, 6} is the set _______________.
a) {1, 2, 6, 1}
b) {1, 2, 5, 6}
c) {1, 2, 1, 2}
d) {1, 5, 6, 3}

b) {1, 2, 5, 6}

24. The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set ___________.
a) {1, 2}
b) {5, 6}
c) {2, 5}
d) {1, 6}

a) {1, 2}

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25. The function f(x)=x+1 from the set of integers to itself is onto. Is it True or False?
a) True
b) False

a) True

26. The g -1({0}) for the function g(x)= ⌊x⌋ is ________.
a) {x | 0 ≤ x < 1}
b) {x | 0 < x ≤ 1}
c) {x | 0 < x < 1}
d) {x | 0 ≤ x ≤ 1}

d) {x | 0 ≤ x ≤ 1}

27. The function f(x) = x3 is bijection from R to R. Is it True or False?
a) True
b) False

a) True

28. The inverse of function f(x) = x3 + 2 is __________.
a) f -1 (y) = (y - 2) 1/2
b) f -1 (y) = (y - 2) 1/3
c) f -1 (y) = (y) 1/3
d) f -1 (y) = (y - 2)

b) f -1 (y) = (y - 2) 1/3

29. __________ bytes are required to encode 2000 bits of data,
a) 1
b) 2
c) 3
d) 8

b) 2

30. Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ________.
a) 6x + 9
b) 6x + 7
c) 6x + 6
d) 6x + 8

a) 6x + 9

31. The domain of the function that assign to each pair of integers the maximum of these two integers is ________.
a) N
b) Z
c) Z +
d) Z+ X Z+

d) Z+ X Z+

32. Which of the following function f: Z X Z → Z is not onto?
a) f(a, b) = a + b
b) f(a, b) = a
c) f(a, b) = |b|
d) f(a, b) = a - b

c) f(a, b) = |b|

33. The value of ⌊1/2.⌊5/2⌋ ⌋ is _______________.
a) 1
b) 2
c) 3
d) 0.5

a) 1

34. The set of positive integers is _________ .
a) Infinite
b) Finite
c) Subset
d) Empty

a) Infinite

35. A function is said to be ______________, if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.
a) One-to-many
b) One-to-one
c) Many-to-many
d) Many-to-one

b) One-to-one