**JAM Question Paper 2014 MA (Mathematics).**

*JAM MA – Mathematics 2014 Question Paper test papers will be fully objective type. This JAM MA – Mathematics 2014 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 2014 question paper in pdf file for IIT JAM MA – Mathematics you can download it in FREE, if Joint Entrance Examination (JAM) 2014 paper in text for JAM you can download JAM 2014 page also just Go to menu bar, Click on File->then Save.*

**JAM Question Paper 2014 MA (Mathematics).**

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**01. Let f(x) = |x^{2} – 25| for all x ∈ ℝ. The total number of points of ℝ at which f attains a local extremum (minimum or maximum) is**

- (A) 1
- (B) 2
- (C) 3
- (D) 4

**02. For a, b, c ∈ ℝ, if the differential equation**

(*ax*^{2} + *bxy* + *y*^{2}) *dx* + (2*x*^{2} + *cxy* + *y*^{2}) *dy* = 0

is exact, then

- (A) b = 2, c = 2a
- (B) b = 4, c = 2
- (C) b = 2, c = 4
- (D) b = 2, a = 2c

**03. Let G be a group of order 17. The total number of non-isomorphic subgroups of G is**

- (A) 1
- (B) 2
- (C) 3
- (D) 17

**04. Which one of the following is a subspace of the vector space ℝ ^{3}?**

- (A) {(x, y, z) ∈ ℝ
^{3}: x + 2y = 0, 2x + 3z = 0} - (B) {(x, y, z) ∈ ℝ
^{3}: 2x + 3y + 4z – 3 = 0, z = 0} - (C) {(x, y, z) ∈ ℝ
^{3}: x ≥ 0, y ≥ 0} - (D) {(x, y, z) ∈ ℝ
^{3}: x – 1 = 0, y = 0}

**05. Let G be a cyclic group of order 24. The total number of group isomarphisms of G onto itself is**

- (A) 7
- (B) 8
- (C) 17
- (D) 24

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