MTH202 Final Term Past Paper 2022

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Question No 1:
If A and B are two sets then the set which contains all those elements that belong to A or B is

• A U B Correct
• A ꓵ B
  
• A – B
• None of these

Question No 2:
Identify the Associative law of union for three sets:

• A U (B U C) = (A U B) U C
• A ꓵ (B ꓵ C) = (A ꓵ B) ꓵ C
  
• A U (B ꓵ C) = (A U B) ꓵ (A U C)
  
• None of these

Question No 3:
Let A and B be two sets then A- (A-B) is equal to

• A ꓵ B Correct
  
• A U B
• A – B
• None of these

Question No 4:
The product of the positive integers from 1 to n is called _____

• Multiplication
• N factorial Correct
• Geometric sequence

Question No 5:
The tower of Hanoi is a puzzle consisting of:

• 2 people
• 3 people Correct
• 4 people

Question No 6:
Proof of a statement by induction comprises of two basic steps:

• Inductive and deductive
• Basis and Inductive Correct
• Arranging and Sorting
• None of these

Question No 8:
The indirect proof of a statement p → q involves:

• Considering ˜q and then try to reach p
  
• Considering p and ˜q are true and try to reach contradiction Correct
  
• Considering p and then try to reach q
• Considering ˜p and then try to reach q

Question No 9:

The square root of every prime number is:

• Rational
• Irrational Correct
• Depends on the prime number given
• Integer

Question No 10:

The methods of loop invariants are used to prove _____ with respect to certain pre and post-conditions.

• Correctness of Algorithm
• Correctness of a Loop Correct
• Correctness Result
• Correctness of Variables

Question No 11:

If a and b are any positive integers with b ≠ 0 and q and r are non-negative integers such that a = b.q + r then:

• gcd(a,b) = gcd(b,r) Maybe Correct
• gcd(a,r) = gcd(b,r)
• gcd(a,q) = gcd(q,r)

Question No 12:
Suppose that there are eight runners in a race first will get gold medal, the second will get silver and third will get bronze. How many different ways are there to award these medals if all possible outcomes of race can occur and there is no tie.

• P (8,3)
• P (100,97)
• P (97,3)
• None of these

Question No 15:

If the order matters and repetition is not allowed then total number of ways for selecting k sample from n number of elements is

• N ^ k
• C (n+k-1,k)
• P(n,k) Correct
• C(n,k)

Question No 16:
If A is a finite set then n(A^c) =

• n(U) – n(A) Correct
• n(U) + n(A)
• n(A) – n(U)
• 0

Question No 17:
The value of [x] for x= -2.01 is

• -3
• 1
• -2 Correct
• 0

Question No 18:
What is the probability of getting a number greater than 4 when a die is thrown?

• 1/2
• 3/2
• 1/3 Correct
• 1

Question No 19:
If a die is thrown then the probability that the dots on the top are prime numbers or odd numbers is:

• 1
• 1/3
• 2/3 Correct

Question No 20:
If a die is rolled when what is the possible that the number is greater than 4:

• 1/3 Correct
• 3/4
• 1/2
• 2/3