All Courses
Get the App Signup / Login
Sign in Open App
Mathematics Exam  >  Mathematics Tests  >  IIT JAM Mathematics Practice Test- 11 - Mathematics MCQ

IIT JAM Mathematics Practice Test- 11 - Mathematics MCQ


Test Description

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
Save

Let A be the subset of R and D(A) be the set of all limit points of A. Then closure of A is

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 1

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
Save

Limit points of the sequence 

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 2

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.]

1 Crore+ students have signed up on EduRev. Have you? Download the App
IIT JAM Mathematics Practice Test- 11 - Question 3
Save

Every point of finite set is called.

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 3

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

IIT JAM Mathematics Practice Test- 11 - Question 4
Save

If S and T are subsets of real numbers, then which of the following is correct?
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 4


IIT JAM Mathematics Practice Test- 11 - Question 5
Save

We know that  The series  converge to 
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 5

IIT JAM Mathematics Practice Test- 11 - Question 6
Save

 is equal to
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 6

IIT JAM Mathematics Practice Test- 11 - Question 7
Save

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 7


IIT JAM Mathematics Practice Test- 11 - Question 8
Save

If x > 0 and g is bounded function, then  is
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 8

IIT JAM Mathematics Practice Test- 11 - Question 9
Save

Let  If f(x) is continuous for all  then the value of a + 8b is,
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 9


IIT JAM Mathematics Practice Test- 11 - Question 10
Save

The function defined by 
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 10

IIT JAM Mathematics Practice Test- 11 - Question 11
Save

 where [.] denotes greatest integer function and signum function is defined as,
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 11

IIT JAM Mathematics Practice Test- 11 - Question 12
Save

If the function f: R → R defined by
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 12

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
Save

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 13

IIT JAM Mathematics Practice Test- 11 - Question 14
Save

Let Pn = apt-1 - 1 ∀ n= 1,2,3,4,5,.... and  Let p1 = ax - 1 where a ∈ R*, then the value of  is 
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 14

IIT JAM Mathematics Practice Test- 11 - Question 15
Save

Let {xn} and {yn} be two sequences of real numbers. Then which one is correct?
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 15

*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 16
Save

Let {xn} be a sequence of real no's where xn =

Then which of the followings is/are correct about the sequence {xn}?
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 16





*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 17
Save

Consider two sets,  then which of the following(s) is/ are correct?
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 17

*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 18
Save

Consider a set E, where E = {sin2x - sinx + 1 ; x ∈ R}. Then which of the followings is/are incorrect for the set E?
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 18



Option (B), (C) both are incorrect.

*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 19
Save

If  then
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 19


*Multiple options can be correct
IIT JAM Mathematics Practice Test- 11 - Question 20
Save

The domain of the function that assign to each pair of integers the maximum of these two integers is ___________
Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 20

The domain of the integers is Z+ X Z+.

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 21
Save

 {1-sin x) tan x} is equal to _____.

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 21

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 22
Save

 is equal to ..........

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 22


*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 23
Save

 is given by ______

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 23

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 24
Save

 is equal to ______.

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 24




  

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 25
Save

If  then lim x→​1 f(x) is equal to _____.

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 25

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 26
Save

 is equal to .........

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 26


=1 

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 27
Save


Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 27

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 28
Save

The value of  is _______.

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 28

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 29
Save

If f(x) = , then the function is discontinuous at x = ________.

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 29

*Answer can only contain numeric values
IIT JAM Mathematics Practice Test- 11 - Question 30
Save

The value of the limit

Detailed Solution for IIT JAM Mathematics Practice Test- 11 - Question 30

Information about IIT JAM Mathematics Practice Test- 11 Page
In this test you can find the Exam questions for IIT JAM Mathematics Practice Test- 11 solved & explained in the simplest way possible. Besides giving Questions and answers for IIT JAM Mathematics Practice Test- 11, EduRev gives you an ample number of Online tests for practice
Download as PDF

Important Questions for IIT JAM Mathematics Practice Test- 11

Find all the important questions for IIT JAM Mathematics Practice Test- 11 at EduRev.Get fully prepared for IIT JAM Mathematics Practice Test- 11 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the IIT JAM Mathematics Practice Test- 11 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of IIT JAM Mathematics Practice Test- 11 resources.

IIT JAM Mathematics Practice Test- 11 MCQs with Answers

Prepare for the IIT JAM Mathematics Practice Test- 11 within the Mathematics exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for IIT JAM Mathematics Practice Test- 11

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace IIT JAM Mathematics Practice Test- 11 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup