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Mathematics Exam  >  Mathematics Tests  >  IIT JAM Mathematics Practice Test- 11 - Mathematics MCQ

IIT JAM Mathematics Practice Test- 11 - Mathematics MCQ


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30 Questions MCQ Test - IIT JAM Mathematics Practice Test- 11

IIT JAM Mathematics Practice Test- 11 for Mathematics 2024 is part of Mathematics preparation. The IIT JAM Mathematics Practice Test- 11 questions and answers have been prepared according to the Mathematics exam syllabus.The IIT JAM Mathematics Practice Test- 11 MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for IIT JAM Mathematics Practice Test- 11 below.
Solutions of IIT JAM Mathematics Practice Test- 11 questions in English are available as part of our course for Mathematics & IIT JAM Mathematics Practice Test- 11 solutions in Hindi for Mathematics course. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free. Attempt IIT JAM Mathematics Practice Test- 11 | 30 questions in 90 minutes | Mock test for Mathematics preparation | Free important questions MCQ to study for Mathematics Exam | Download free PDF with solutions
IIT JAM Mathematics Practice Test- 11 - Question 1
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Let A be the subset of R and D(A) be the set of all limit points of A. Then closure of A is

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It is a well known theorem that A ⊂ R and D(A) is the set of all limit points of A, then 

IIT JAM Mathematics Practice Test- 11 - Question 2
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Limit points of the sequence 

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Here given set is 
Now fix m and vary n,
Let m = 1. then we have  clearly this sequence converge to 1
Thus 1 be limit point.
take m = 2. then we have  clearly this sequence converge to 1/2, so 1/2 be  a limit point.

So  1/3 be a limit point.
Thus the set of L.P. of given sequence is 
[Note : Whenever we have such question, in which we have two natural no's, then always keep one as fixed and varying other to find set of L.P.]

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IIT JAM Mathematics Practice Test- 11 - Question 3
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Every point of finite set is called.

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By the definition of isolated point, Every point of finite set is called isolated point.

IIT JAM Mathematics Practice Test- 11 - Question 4
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If S and T are subsets of real numbers, then which of the following is correct?
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IIT JAM Mathematics Practice Test- 11 - Question 5
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We know that  The series  converge to 
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IIT JAM Mathematics Practice Test- 11 - Question 6
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 is equal to
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IIT JAM Mathematics Practice Test- 11 - Question 7
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IIT JAM Mathematics Practice Test- 11 - Question 8
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If x > 0 and g is bounded function, then  is
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IIT JAM Mathematics Practice Test- 11 - Question 9
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Let  If f(x) is continuous for all  then the value of a + 8b is,
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IIT JAM Mathematics Practice Test- 11 - Question 10
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The function defined by 
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IIT JAM Mathematics Practice Test- 11 - Question 11
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 where [.] denotes greatest integer function and signum function is defined as,
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IIT JAM Mathematics Practice Test- 11 - Question 12
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If the function f: R → R defined by
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Let x be rational say p/q. where p and q are integers prime to each other. Then taken n = q, we see that

is an integral multiple of π and therefore sin n ! πx = 0
but cos n ! πx = 1 or -1 according as n ! x is an even or an odd integer. Now

IIT JAM Mathematics Practice Test- 11 - Question 13
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IIT JAM Mathematics Practice Test- 11 - Question 14
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Let Pn = apt-1 - 1 ∀ n= 1,2,3,4,5,.... and  Let p1 = ax - 1 where a ∈ R*, then the value of  is 
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IIT JAM Mathematics Practice Test- 11 - Question 15
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Let {xn} and {yn} be two sequences of real numbers. Then which one is correct?
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*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 16
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Let {xn} be a sequence of real no's where xn =

Then which of the followings is/are correct about the sequence {xn}?
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*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 17
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Consider two sets,  then which of the following(s) is/ are correct?
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*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 18
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Consider a set E, where E = {sin2x - sinx + 1 ; x ∈ R}. Then which of the followings is/are incorrect for the set E?
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Option (B), (C) both are incorrect.

*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 19
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If  then
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*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 20
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The domain of the function that assign to each pair of integers the maximum of these two integers is ___________
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The domain of the integers is Z+ X Z+.

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 21
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 {1-sin x) tan x} is equal to _____.

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IIT JAM Mathematics Practice Test- 11 - Question 22
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 is equal to ..........

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IIT JAM Mathematics Practice Test- 11 - Question 23
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 is given by ______

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IIT JAM Mathematics Practice Test- 11 - Question 24
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 is equal to ______.

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*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 25
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If  then lim x→​1 f(x) is equal to _____.

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IIT JAM Mathematics Practice Test- 11 - Question 26
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 is equal to .........

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=1 

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 27
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IIT JAM Mathematics Practice Test- 11 - Question 28
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The value of  is _______.

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IIT JAM Mathematics Practice Test- 11 - Question 29
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If f(x) = , then the function is discontinuous at x = ________.

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IIT JAM Mathematics Practice Test- 11 - Question 30
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The value of the limit

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