My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Exam Details

Mathematics (MA) 2017

Review the key details, then start the test when you are ready. You can also open the full package to see related papers.

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

Paper pattern & analysis

Filter this paper by subject, topic or subtopic. Every graph updates from the selected questions.

Explore previous papers
Showing all 65 questions in this paper.

Subject distribution

No subject classification is available.

Topic distribution

No topic classification is available.

Subtopic distribution

No subtopic classification is available.

Difficulty distribution

Easy 36 55.4%
Hard 29 44.6%

Question type distribution

Multiple Choices 36 55.4%
Fill in the blanks 29 44.6%

Instructions

Mathematics (MA) 2017 – 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
  • All other browser applications will be automatically closed
  • After three warnings, the examination window will close automatically

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2017 · Unclassified
Mathematics (MA) 2017
Q.1 – Q.5 carry one mark each.

Consider the vector space V = a0 + a1x + a2x2: ai ∈ R for i = 0,1,2 of polynomials of degree at most 2. Let f: V → R be a linear functional such that f(1 + x) = 0, f(1 − x2) = 0 and f(x2 − x) = 2. Then f(1 + x + x2) equals ______.

Write your response
2
2017 · Unclassified
Mathematics (MA) 2017
Question Number : 2 Correct : 1 Wrong : 0

Let A be a 7×7 matrix such that 2A2 − A4 = I, where I is the identity matrix. If A has two distinct eigenvalues and each eigenvalue has geometric multiplicity 3, then the total number of nonzero entries in the Jordan canonical form of A equals ______.

A
Φ(1) − 1/2 Φ(2) − 1/2
B
Φ(1) + 1/2 Φ(2) + 1/2
C
1/2 Φ(2) + 1/2
D
Φ(2) + 1/2 Φ(2) + 1
3
2017 · Unclassified
Mathematics (MA) 2017
Question Number : 3 Correct : 1 Wrong : -0.33

Let f(z) = (x2 + y2) + i2xy and g(z) = 2xy + i(y2 − x2) for z = x + iy ∈ C. Then, in the complex plane C,

A
f is analytic and g is NOT analytic
B
f is NOT analytic and g is analytic
C
neither f nor g is analytic
D
both f and g are analytic
4
2017 · Unclassified
Mathematics (MA) 2017
Question Number : 4 Correct : 1 Wrong : 0

If ∑ an(z − 2)n is the Laurent series of the function f(z) = z4 + z3 + z2 / (z − 2)3 for z ∈ C \ 2, then a−2 equals ______.

A
Φ(1) − 1/2 Φ(2) − 1/2
B
Φ(1) + 1/2 Φ(2) + 1/2
C
1/2 Φ(2) + 1/2
D
Φ(2) + 1/2 Φ(2) + 1
5
2017 · Unclassified
Mathematics (MA) 2017

Let fn: [0,1] → R be given by fn(x) = 2x2 / (x2 + (1 - 2nx)2), n = 1, 2, ... Then the sequence (fn)

A
converges uniformly on [0,1]
B
does NOT converge uniformly on [0,1] but has a subsequence that converges uniformly on [0,1]
C
does NOT converge pointwise on [0,1]
D
converges pointwise on [0,1] but does NOT have a subsequence that converges uniformly on [0,1]
6
2017 · Unclassified
Mathematics (MA) 2017
Q.6 – Q.10 carry two marks each.

Let C: x2 + y2 = 9 be the circle in R2 oriented positively. Then (1/π) ∮C (3y - ecos2x) dx + (7x + √(y4 + 11)) dy equals ______.

Write your response