*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 **ℤ_{36} is equal to

- (A) 6
- (B) 12
- (C) 18
- (D) 36

**02. The area of surface z = ^{xy}/_{3} intercepted by the cylinder x^{2} + y^{2} ≤ 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*cos^{1}/_{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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