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Exam Details

Mathematics (MA) 2010

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Questions 65
Duration 180 mins
Package Mathematics (MA) - Previous Year Papers

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Showing all 65 questions in this paper.

Subject distribution

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Topic distribution

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Subtopic distribution

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Difficulty distribution

Easy 63 96.9%
Hard 2 3.1%

Question type distribution

Multiple Choices 65 100%

Instructions

Mathematics (MA) 2010 – Instructions
  • Total number of questions: 65
  • 30 questions carry one mark each
  • 35 questions carry two marks each
  • Negative marking: 1/3 of the marks allotted to the question
  • Use of calculator is allowed
  • This is a proctored examination
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Syllabus

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Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2010 · Unclassified
Mathematics (MA) 2010
Q.1 – Q.25 carry one mark each.

Let E and F be any two events with P(E ∪ F) = 0.8, P(E) = 0.4 and P(E | F) = 0.3. Then P(F) is

A
3/7
B
4/7
C
3/5
D
2/5
2
2010 · Unclassified
Mathematics (MA) 2010

Let X have a binomial distribution with parameters n and p, where n is an integer greater than 1 and 0 < p < 1. If P(X = 0) = P(X = 1), then the value of p is

A
1/(n−1)
B
n/(n+1)
C
1/(n+1)
D
1/(1+n²)
3
2010 · Unclassified
Mathematics (MA) 2010

Let u(x, y) = 2x(1 − y) for all real x and y. Then a function v(x, y), so that f(z) = u(x, y) + iv(x, y) is analytic, is

A
x² − (y − 1)²
B
(x − 1)² − y²
C
(x − 1)² + y²
D
x² + (y − 1)²
4
2010 · Unclassified
Mathematics (MA) 2010

Let f(z) be analytic on D = z ∈ C : |z − 1| < 1 such that f(1) = 1. If f(z) = f(z2) for all z ∈ D, then which one of the following statements is NOT correct?

A
f(z) = (f(z))² for all z ∈ D
B
∫_|z|=1/2 f(z) dz = 1/2 ∫_|z|=1 f(z) dz for all z ∈ D
C
f(z²) = [f(z)]² for all z ∈ D
D
f'(1) = 0
5
2010 · Unclassified
Mathematics (MA) 2010

The maximum number of linearly independent solutions of the differential equation d2y/dx2 = 0, with the condition y(0) = 1, is

A
4
B
3
C
2
D
1
6
2010 · Unclassified
Mathematics (MA) 2010

Which one of the following sets of functions is NOT orthogonal (with respect to the L2-inner product) over the given interval?

A
sin nx : n ∈ ℕ, −π < x < π
B
cos nx : n ∈ ℕ, −π < x < π
C
xⁿ : n ∈ ℕ, −1 < x < 1
D
1, xⁿ : n ∈ ℕ, −1 < x < 1