JAM Question Paper 2019-20 MA (Mathematics)

JAM Question Paper 2019-20 MA (Mathematics).

JAM Question Paper 2019-20 MA MathematicsJAM MA – Mathematics 2019-20 Question Paper test papers will be fully objective type. This JAM MA – Mathematics 2019-20 Question will help all the students for their exam preparation, here the question type is MCQ i.e multiple choice question answers, if this JAM MA – Mathematics 2019-20 question paper in pdf file for IIT JAM MA – Mathematics you can download it in FREE, if Joint Entrance Examination (JAM) 2019-20 paper in text for JAM you can download JAM 2019-20 page also just Go to menu bar, Click on File->then Save.

JAM Question Paper 2019-20 MA (Mathematics).

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01. If {v1, v2, v3} is a linearly independent set of vectors in a vector space over ℝ, then which one of the following sets is also linearly independent?

  • (A) {v1 + v2 v3, 2v1 + v2 + 3v3, 5v1 + 4v2}
  • (B) {v1v2, v2 v3, v3v1}
  • (C) {v1 + v2 v3, v2 + v3 v1, v3 v1 + v2, v1 + v2 + v3}
  • (D) {v1 + v2, v2 + 2v3, v3 + 3 v1}

02. Let U, V and W be finite dimensional real vector spaces, T:UV, S:V W and P:WU be linear transformations. If range (ST) = nullspace (P), nullspace (ST) = range (P) and rank (T) = rank (S), then which one of the following is TRUE?

  • (A) nullity of T = nullity of S
  • (B) dimension U ≠ of dimension of W
  • (C) If dimension of V = 3, dimension of U = 4, then P is not identically zero
  • (D) If dimension of V = 4, dimension of U = 3, and T is one-one, then P is identically zero

03. Let G be a group satisfying the property that f:G → ℤ221 is a homomorphism implies f (g) ­ = 0, ∀g G. Then a possible group G is

  • (A) ℤ21
  • (B) ℤ51
  • (C) ℤ91
  • (D) ℤ119

04. Let H be the quotient group ℚ/ ℤ. Consider the following statements

I. Every cyclic subgroup of H is finite.

II. Every finite cyclic group is isomorphic to a subgroup of H.

Which one of the following holds?

  • (A) I is TRUE but II is FALSE
  • (B) II is TRUE but I is FALSE
  • (C) both I and II are TRUE
  • (D) neither I nor II is TRUE

05. Let P and Q be two non-empty disjoint subsets of ℝ. Which of the following is (are) FALSE?

  • (A) If P and Q are compact, then P Q is also compact
  • (B) If P and Q are not connected, then P Q is also not connected
  • (C) If P Q and P are closed, then Q is closed
  • (D) If P Q and P are open, then Q is open

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