JAM Question Paper 2019-20 MA (Mathematics).
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JAM Question Paper 2019-20 MA (Mathematics)
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01. Let f(x) = |x2 – 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
(ax2 + bxy + y2) dx + (2x2 + cxy + y2) 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 ℝ3?
- (A) {(x, y, z) ∈ ℝ3 : x + 2y = 0, 2x + 3z = 0}
- (B) {(x, y, z) ∈ ℝ3 : 2x + 3y + 4z – 3 = 0, z = 0}
- (C) {(x, y, z) ∈ ℝ3 : x ≥ 0, y ≥ 0}
- (D) {(x, y, z) ∈ ℝ3 : 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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