JAM Question Paper 2019-20 MA (Mathematics).
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JAM Question Paper 2019-20 MA (Mathematics).
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01. The number of generators of the additive group ℤ36 is equal to
- (A) 6
- (B) 12
- (C) 18
- (D) 36
02. The area of surface z = xy/3 intercepted by the cylinder x2 + y2 ≤ 16 lines in the interval
- (A) (20π, 22 π)
- (B) (22π, 24π)
- (C) (24π, 26π)
- (D) (26π, 28π)
03. Let S be an infinite subset of ℝ such that S\{α} is compact for some α ∈ S. Then which one of the following is TRUE?
- (A) S is a connected set
- (B) S contains no limit points
- (C) S is a union of open intervals
- (D) Every sequence in S has a subsequence converging to an element in S
04. Which one of the following is TRUE?
- (A) Every sequence that has a convergent subsequence is a Cauchy sequence
- (B) Every sequence that has a convergent subsequence is a bounded sequence
- (C) The sequence (sin n} has a convergent subsequence
- (D) The sequence {n cos1/n}
05. Let G be a group of order 20 in which the conjugacy classes have sizes 1,4, 5,5,5. Then which of the following is/are TRUE?
- (A) G contains a normal subgroup of order 5
- (B) G contains a non-normal subgroup of order 5
- (C) G contains a subgroup of order 10
- (D) G contains a normal subgroup of order 4
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