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Mathematics Exam  >  Mathematics Tests  >  IIT JAM Mathematics Mock Test Series  >  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 Mock Test Series - IIT JAM Mathematics Practice Test- 11

IIT JAM Mathematics Practice Test- 11 for Mathematics 2024 is part of IIT JAM Mathematics Mock Test Series 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 IIT JAM Mathematics Mock Test Series for Mathematics & IIT JAM Mathematics Practice Test- 11 solutions in Hindi for IIT JAM Mathematics Mock Test Series 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 IIT JAM Mathematics Mock Test Series 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 

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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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*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 30
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The value of the limit

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