IIT JAM Exam  >  IIT JAM Tests  >  Math - 2018 Past Year Paper - IIT JAM MCQ

Math - 2018 Past Year Paper - IIT JAM MCQ


Test Description

30 Questions MCQ Test - Math - 2018 Past Year Paper

Math - 2018 Past Year Paper for IIT JAM 2024 is part of IIT JAM preparation. The Math - 2018 Past Year Paper questions and answers have been prepared according to the IIT JAM exam syllabus.The Math - 2018 Past Year Paper MCQs are made for IIT JAM 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Math - 2018 Past Year Paper below.
Solutions of Math - 2018 Past Year Paper questions in English are available as part of our course for IIT JAM & Math - 2018 Past Year Paper solutions in Hindi for IIT JAM course. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free. Attempt Math - 2018 Past Year Paper | 60 questions in 180 minutes | Mock test for IIT JAM preparation | Free important questions MCQ to study for IIT JAM Exam | Download free PDF with solutions
Math - 2018 Past Year Paper - Question 1

Which one of the following is True?

Math - 2018 Past Year Paper - Question 2

Let where  b1 = 1, b2 = 1 and bn+2 = bn + bn+1,  Then is:

1 Crore+ students have signed up on EduRev. Have you? Download the App
Math - 2018 Past Year Paper - Question 3

If {v1, v2, v3} is a linearly independent set of vectors in a vector space over  then which one of the following sets is also linearly independent?

Math - 2018 Past Year Paper - Question 4

Let a be a positive real number. If f is a continuous and even function defined on the interval [–a, a], then  is equal to :

Math - 2018 Past Year Paper - Question 5

The tangent plane to the surface  at (1, 1, 2) is given by

Math - 2018 Past Year Paper - Question 6

In , the cosine of the acute angle between the surfaces x2 + y2 + z2 - 9 = 0 and z - x2 - y2 + 3 = 0 at the point (2, 1, 2) is :

Math - 2018 Past Year Paper - Question 7

Let f :  be a scalar field,  be a vector filed and let  be a constant vector. If  represents the position vector  then which one of the following is FALSE?

Math - 2018 Past Year Paper - Question 8

In , the family of trajectories orthogonal to the family of asteroids x2/3 + y2/3 = a2/3 is given by

Math - 2018 Past Year Paper - Question 9

Consider the vector space V over of polynomial functions of degree less then or equal to 3 defined on . Let T : V → V be defined by (Tf)(x) = f(x) – xf’(x). Then the rank of T is

Math - 2018 Past Year Paper - Question 10

Let  Then which one of the following is True for the sequence 

Math - 2018 Past Year Paper - Question 11

Let  
Then which one of the following is TRUE?

Math - 2018 Past Year Paper - Question 12

Let a, b, c . Which of the following values of a, b, c do NOT result in the convergence of the series

Math - 2018 Past Year Paper - Question 13

Let  Then the sum of the series  is:

Math - 2018 Past Year Paper - Question 14

Let  and let  where  Then which one of the following is true?

Math - 2018 Past Year Paper - Question 15

Suppose that f, g  are differentiable functions such that f is strictly increasing and g is strictly decreasing. Define p(x) = f(g(x)) and q(x) = g(f(x)),  Then, for t > 0, the sign of  is :

Math - 2018 Past Year Paper - Question 16

For  Then which one of the following is false?

Math - 2018 Past Year Paper - Question 17

Let  Then which one of the following is true for f at the point (0, 0)?

Math - 2018 Past Year Paper - Question 18

Let a, b  be a thrice differentiable function. If z = eu f(v), where u = ax + by and v = ax – by, then which one of the following is true?

Math - 2018 Past Year Paper - Question 19

Consider the region D in the yz plane bounded by the line y = 1/2 and the curve y2 + z2 = 1, where y≥0. If the region D is revolved about the z- axis in , then the volume of the resulting solid is :

Math - 2018 Past Year Paper - Question 20

If  where C is the boundary of the triangular region bounded by the lines x = 0, y = 0 and x + y = 1 oriented in the anti- clockwise direction, is :

Math - 2018 Past Year Paper - Question 21

Let U, V and W be finite dimensional real vector spaces, T : U → V, S : V → W and P : W → U be linear transformations. If range (ST) = nullspace (P), nullspace (ST) = range (P) and rank (T) = rank (S), then which one of the following is true?

Math - 2018 Past Year Paper - Question 22

Let y(x) be the solution of the differential equation dy/dx + = , for x ≥ 0, y(0) = 0, where  Then y(x) =

Math - 2018 Past Year Paper - Question 23

An integrating factor of the differential equation  is:

Math - 2018 Past Year Paper - Question 24

A particular integral of the differential equation is:

Math - 2018 Past Year Paper - Question 25

Let G be a group satisfying the property that f :  is a homomorphism implies f(g) = 0,  Then a possible group G is :

Math - 2018 Past Year Paper - Question 26

Let H be the quotient group  Consider the following statements.
I. Every cyclic subgroup of H is finite.
II. Every finite cyclic group is isomorphic to a subgroup of H.
Which one of the following holds?

Math - 2018 Past Year Paper - Question 27

Let I denote the 4 × 4 identity matrix. If the roots of the characteristic polynomial of a 4 × 4 matrix M are  , then M8 =

Math - 2018 Past Year Paper - Question 28

Consider the group  under component- wise addition. Then which of the following is a subgroup of  ?

Math - 2018 Past Year Paper - Question 29

Let f :  be a function and let J be a bounded open interval in Define

Which one of the following is false?

Math - 2018 Past Year Paper - Question 30

For  Then which one of the following is true?

View more questions
Information about Math - 2018 Past Year Paper Page
In this test you can find the Exam questions for Math - 2018 Past Year Paper solved & explained in the simplest way possible. Besides giving Questions and answers for Math - 2018 Past Year Paper, EduRev gives you an ample number of Online tests for practice
Download as PDF