The division by zero is allowed in mathematics.

• A) True
• B) False
• C)
• D)

In the proof by contradiction, we lead the assumption to --------------

• A) contingency
• B) None of these.
• C) tautology
• D) Absurdity

In inductive property the first iteration of the loop is solved for?

• A) I(0)
• B) I(k + 1)
• C) None
• D) I(k)

The sum of two integers is not an even integer when ………….

• A) one is 0 and one is even
• B) one is even and one is odd
• C) both are odd
• D) both are even

Proof by ………..uses the equivalence p →q≡ ~q→~p.

• A) mathematical induction
• B) superposition
• C) contraposition
• D) contradiction

“if n is divisible by 5, then n^2 is divisible by 25” is the contrapositive of ………..

• A) n^2 is not divisible by 25, then n is not divisible by 5
• B) n^2 is not divisible by 25, then n is divisible by 5
• C) n^2 is divisible by 25, then n is divisible by 5
• D) n^2 is divisible by 25, then n is not divisible by 5

In how many ways a student can choose a course from 2 science courses,3 literature courses and 5 art courses.

• A) 10
• B) 240
• C) 1440
• D) 30

If ‘r’ is a perfect square, then which of the following is the correct representation of ‘r’?

• A) r = k^2+1 for some integer k
• B) r = k^2 for some integer k
• C) r = k^2+2 for some integer k
• D) r = k^2-1 for some integer k

An integer ‘n’ is …….. if it can be represented as a multiple of 2.

• A) composite
• B) even
• C) odd
• D) prime

In division algorithm ‘r’ stands for _____.

• A) Dividend
• B) Divisor
• C) Remainder
• D) Quotient

The value of (-3)!=______.

• A) None of the above
• B) Not defined
• C) 6
• D) -6

If 'n' is an odd integer then n^3+n is .....

• A) even
• B) odd
• C)
• D)

------ is the mathematics of counting and arranging objects?

• A) Combinatorics
• B) Algebra
• C)
• D)

A predicate becomes ----------- when its variables are given specific values.

• A) algorithm
• B) sentence
• C) statement
• D) iteration

Which of the following is true for n = 2?

• A) x^n - y^n is divisible by (x - y)^2.
• B) x^n - y^n is divisible by x^5 - y^5.
• C) x^n - y^n is divisible by x - y.
• D) x^n - y^n is divisible by x^3 - y^3.

For integers a, b, c, if a divides b and a divides c, then a divides (a + b).

• A) False
• B) True
• C)
• D)

The Product of an even and odd integer is .....

• A) odd
• B) even
• C)
• D)

${\text{The}}\,{\text{statement}}\,{4^n} > {3^n} + 4\,{\text{is}}\,{\text{true}}\,{\text{when}}\,\_\_\_\_\_\_\,\,.$

• A) ${\text{None of the above}}$
• B) $n = 1$
• C) $n \geqslant 2$
• D) $n = 0$

The method of loop invariants is used to prove ----------- of a loop with respect to certain pre and post-conditions.

• A) falseness
• B) correctness
• C)
• D)

A boy can choose from 5 train services and 3 bus services to go to his hometown, How many total options he can choose from?

• A) 15
• B) 8
• C)
• D)