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Exam Details

Mathematics (MA) 2011

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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.

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Difficulty distribution

Easy 65 100%

Question type distribution

Multiple Choices 65 100%

Instructions

Mathematics (MA) 2011 – 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
2011 · Unclassified
Mathematics (MA) 2011
Q.1 – Q.25 carry one mark each.

The distinct eigenvalues of the matrix are

A
0 and 1
B
1 and -1
C
1 and 2
D
0 and 2
2
2011 · Unclassified
Mathematics (MA) 2011

The minimal polynomial of the matrix is

A
x(x−1)(x−6)
B
x(x−3)
C
(x−3)(x−6)
D
x(x−6)
3
2011 · Unclassified
Mathematics (MA) 2011

Which of the following is the imaginary part of a possible value of ln(√i) ?

A
π
B
π/2
C
π/4
D
π/8
4
2011 · Unclassified
Mathematics (MA) 2011

Let f : C → C be analytic except for a simple pole at z = 0 and let g : C → C be analytic. Then, the value of Res (f(z)g(z)) / Res f(z) as z → 0 is

A
g(0)
B
g'(0)
C
lim z→0 f(z)
D
lim z→0 f(z)g(z)
5
2011 · Unclassified
Mathematics (MA) 2011

Let I = ∮C (2x2 + y2)dx + eγ dy, where C is the boundary (oriented anticlockwise) of the region in the first quadrant bounded by y = 0, x2 + y2 = 1 and x = 0. The value of I is

A
-1
B
-2/3
C
2/3
D
1
6
2011 · Unclassified
Mathematics (MA) 2011

The series ∑n=1^∞ xn/nm, x > 0, is convergent on the interval

A
(0, 1/e)
B
(1/e, e)
C
(0, e)
D
(1, e)