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MTH202 Solved Mcq’s from past papers

MTH202 Solved Mcq’s from past papers.

  1. How many functions are there from a set with three elements to a set with two elements?
► 6
► 8
► 12


  1. If a pair of dice is thrown then the probability of getting a total of 5 or 11 is
► 1/8
► 1/9
► 1/6

  1. Among 200 people, 150 either swim or jog or both. If 85 swim and 60 swim and jog, how many jog?
► 125 (Page 241)
► 225
► 85
► 25


  1. If P (AB)  P (A) P (B) then the events A and B are called
► Independent
► Dependent
► Exhaustive

  1. Whether the relation R on the set of all integers is reflexive, symmetric, ant symmetric, or transitive,
Where
(X, y)∈R
If and only if
xy ≥1
Ø Anti symmetric
Ø Transitive
Ø Symmetric
Ø Both Symmetric and transitive

  1. For a binary relation R defined on a set A, if for all
t A, (t, t)∉R
Then R is

Ø Anti symmetric
Ø Symmetric
Ø Irreflexive (Page 77)

  1. In how many ways can a set of five letters be selected from the English Alphabets?

Ø C(26,5)
Ø C(5,26)
Ø C(12,3)
Ø None of these

  1. The value of (-2)! Is

Ø 0
Ø 1
Ø Cannot be determined (Page 217)

  1. The value of [x] for -2.01 is

Ø -3
Ø 1
Ø -2 (Page 249)

  1. A die is thrown twice. What is the probability that the sum of the number of dots shown is 3 or 11?

► 2/3
► 1/9
► 1/2

  1. The indirect proof of a statement p q involves

Ø Considering ~q and then try to reach ~p
Ø Considering p and ~q and try to reach contradiction
Ø Both 2 and 3 above (Not sure)
Ø Considering p and then try to reach q

  1. Which of the following graphs are tree?
             





Ø a, b, c
Ø b, c, d
Ø c, d, e
Ø a , c, e

Graph a is missing …

  1. In the planar graph, the graph crossing number is

Ø 0 (Page 314)
Ø 1
Ø 2
Ø 3


  1. Changing rows of matrix into columns is called
Ø Symmetric Matrix
Ø Transpose of Matrix (Page 299)
Ø Adjoint of Matrix


  1. When 5k is even, then 5k+5k+5k is odd.

Ø True
Ø False


  1. 5n -1 is divisible by 4 for all positive integer values of n.

Ø True
Ø False

  1. An integer n is called a perfect square if and only if n = k2 for some integer k.

Ø True (Page 187)
Ø False
Ø Depends on the value of k

  1. The relation as a set of ordered pairs as shown in figure is


{(a,b),(b,a),(b,d),(c,d)}
{(a,b),(b,a),(a,c),(b,a),(c,c),(c,d)}
► {(a,b), (a,c), (b,a),(b,d), (c,c),(c,d)}
{(a,b), (a,c), (b,a),(b,d),(c,d)}

  1. If a die is thrown then the probability that the dots on the top are prime numbers or odd numbers is
1

1 / 2

2/3

Prime number or odd number =1,3,5
Total outcomes =6
Probability = 3/6=1/2

  1. If A, B and C are any three events, then
P(AUBUC) is equal to
P(A) + P(B) + P(C)
► P(A) + P(B) + P(C)- P(AUB) - P (A UC) - P(B UC) + P(A UB UC) (Page 264)
P(A) + P(B) + P(C) - P(AUB) - P (A UC) - P(B UC)
P(A) + P(B) + P(C) + P(A NB NC)


  1. A circuit that consist of a single vertex is called

► Trivial (Page 322)
Tree
Empty

  1. How many ways are there to select five players from a 10 member tennis team to make a trip to a match to another school?

► C(10,5)
C(5,10)
P(10,5)
None of these

  1. The value of 0! Is
0
► 1

  1. If the order does not matter and repetition is allowed then total number of ways for selecting k sample from n. is

Ø nk
Ø C(n+k-1,k) (Page 229)
Ø P(n,k)
Ø C(n,k)

  1. A tree diagram is a useful tool to list all the logical possibilities of a sequence of events where each event can occur in a finite number of ways.

Ø True (Page 237)
Ø False

  1. Two distinct edges with the same set of end points are called
Ø Isolated
Ø Incident

Ø Parallel (Page 284)

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