SPSC Lecture Mathematics Past Paper

At the time of its establishment, Pakistan became the ____ of Muslim States.

1. Great
2. Greater
3. Greatest
4. Greatly

y= Asinx + Bcos x is the solution of the differential equation?

1. y'' - y = 0
2. y'' + y = 0
3. y'' - 4y = 0
4. y'' + 4y = 0

If S={1/n : ne ∈ N}, then inf S =?

1. 0
2. 1
3. 2
4. None

Which one of the following statement/s is true?

1. ∑1/n^p= converges if p ≤ 1
2. ∑1/n^p= diverges if p > 1
3. ∑1/n^p= converges if p > 1
4. ∑1/n^p= converges if 0 < p < 1

The identity element of a set X with respect to intersection in P(X) is?

1. X
2. does not exist
3. 0
4. None

In the group (G, *), A a,b ∈ G?

1. a + b ∈ G
2. ab ∈ G
3. a * b ∈ G
4. a - b ∈ G

The set of integers is an abelian group under?

1. Addition
2. Multiplication
3. Division
4. None

The set of all n, nth roots of unity forms a group under the ___ of complex numbers.

1. Addition
2. Multiplication
3. Division
4. None

Let (G,+) be a group. A nonempty subset H of G is a subgroup of G if and only if for all a, b ∈ H, the element?

1. a + b ∈ G
2. a - b ∈ H
3. a + (-b) ∈ H
4. ab ∈ G

Every cyclic group is?

1. Non abelian
2. Abelian
3. Non commutative
4. None