mathematics MCQs

Let U be the universal set and A, B are subsets of U. If n (U) = 700, n (A) = 200, n (B) = 300 and n (A ∩B) = 100, then n (A'∩B') =

Which of the following is the empty set:

A). {x|x ∈ R ∧ x² - 1 = 0 }

B). {x|x ∈ R ∧ x² +1 = 0 }

C). {x|x ∈ R ∧ x² - 16 = 0 }

D). {x|x ∈ R ∧ x²  = x+2 }

If a N = {ax | x ∈ N}, then 3N ∩ 5N =

Let r be a relation defined on a set of real number as ∀ a, b ∈ R, a r b if |a - b| > 0. Then r is:

Number of non-empty subsets of the set {1, 2, 3, 4} is:

Let G be a group and a, b ∈ G. Then order of a^-1 is equal to:

A). b

B). ab

C). bab^-1

D). b^-1

Let r is be a relation defined as a r b if ab + 1 > 0. Then relation r is:

Which of the following is not a group w.r.t. addition:

The relation ‘less than’ in the set of natural number is:

If X and Y are two sets, then X ∩(X ∪ Y)' = 0

G = {1, 2, 4, 5, 7, 8} under multiplication modulo 9 is:

If G is an Abelian, then which of the following is the order of G:

Which binary operation is not defined in the set of natural number:

Let r be a relation defined as a r b if |a|≤ b. Then relation r is:

Let n (A) = 3 and n (B) = 6. What can be the minimum number of elements in A ∪ B?

The set of cube roots of unity is a subgroup of:

Which of the following is a group w. r. t multiplication:

The union of all positive even and all positive add integer is:

G = {1, 3, 5, 7} is a group w. r. t multiplication modulo 8. Then inverse of 5 is:

n/m means that n is factor of m, then the relation ‘/’ is:

The identity element of (P (X), ∩) where X ≠ ∅ is:

If X and Y are two sets such that n (X) = 17, (Y) = 23 and n (X ∪ Y) = 38, then n (X  ∩ Y) is:

In a group of even order, there at least................elements of order 2:

The number of subgroups of a group is:

Let r₁ and r₂ are symmetric relations (not disjoint) on a set A then the relation r₁ ∩ r₂ is: