# Mathematics MCQs for PPSC FPSC KKPSC BPSC SPSC NTS Test 6

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 Test Instructions:- Test Name Lecturer Mathematics Subject Math Test 6 Test Type MCQs Mathematics Total Questions 25 Total Time 20 Minutes Total Marks 100
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You have 20 minutes to pass to the quiz.

Lecturer of Mathematics Online Test No. 6

1 / 25

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

2 / 25

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

3 / 25

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

4 / 25

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

5 / 25

The number of subgroups of a group is:

6 / 25

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

7 / 25

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

8 / 25

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

9 / 25

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

10 / 25

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

11 / 25

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

12 / 25

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

13 / 25

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

14 / 25

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

15 / 25

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

16 / 25

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

17 / 25

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 }

18 / 25

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') =

19 / 25

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

20 / 25

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:

21 / 25

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

22 / 25

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

23 / 25

If a N = {ax | x ∈ N}, then 3N ∩ 5N =

24 / 25

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

25 / 25

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