SPSC Lecture Mathematics Past Paper

A sequence (Xn) in a metric space X is said to be strictly increasing if for all n?

1. Xn ≤ X(n+1)
2. Xn ≥ X(n+1)
3. Xn < X(n+1)
4. Xn > X(n+1)

A convergent sequence in a metric space is?

1. Bounded
2. Not constant
3. Unbounded
4. None of these

The value of the solid of revolution when rotating around the x-axis is given by?

1. π ∫[a, b] (f(x))^2 dx
2. 2π ∫[a, b] (f(x))^2 dx
3. π ∫[a, b] (f(x)) dx
4. 2π ∫[a, b] (f(x)) dx

The series is convergent if?

1. P
2. p
3. p>1
4. 0<p<1

Which one of the following is a unary operation?

1. Addition
2. Multiplication
3. Square root
4. None

Z is a group under?

1. Subtraction
2. Addition
3. Multiplication
4. Division

In the group (G, *), where a, b ∈ G, which of the following is always true?

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

The action of wearing of sock and shoes?

1. Does not commute
2. Commute
3. Does not exist
4. Associative

ax(bxc) is a vector lying in the plane containing vectors?

1. a and b
2. a and c
3. b and c
4. a and axb

When is z = a + 2by + 2bxy true?

1. When x = 0
2. When y = 0
3. When b = 0
4. When a = 0