IIT Kharagpur Sample Question

Hello sir, I am preparing for the LL.B. (Hons. In IPR). Will you please share the sample question paper for IIT Kharagpur LL.B. (Hons. In IPR)?

[Quick Sam]

As per your need, I am forwarding you sample question paper for LL.B. (Hons. In Intellectual property rights (IPR) ) exam conducted by Indian Institute of Technology, Kharagpur. Hope it works for you.


1. What could be the momentum of an electron whose kinetic energy equals its rest energy of 511 keV?
(a) 440keV/c (b) 735keV/c (c)885keV/c (d)985 keV/C

2. An observer approaches a light source of 0.50 x1015 Hz at an angle of 60° with a relative speed of 0.56c. The frequency observed by the observer is given by
(a) 0.575 x1015 Hz (b) 57.5 x1015 Hz (c) 0.75 x1015 Hz (d) 1.0 x1015 Hz

3. Suppose a 1kg parcel of dry air is rising at a constant vertical velocity. If the parcel is being heated by radiation at a rate of 0.1W/kg, what must be the speed of rise to maintain the parcel at a constant temperature?
(a) 1.02 cm/s (b) 3 cm/s
(c)1.5 cm/s
(d)2.04 cm/s

In each of the following questions four words are given, out of which three are alike/similar in certain ways
and the fourth one is different. Choose the odd word out.
4 .Identify the odd word
a. Notion
b. Impression
c. Want
d. Feeling

5. Identify the odd word
a. Canter
b. Trot
c. Gallop
d. Wallop

Choose the most appropriate definition for the following words.
6 .Diurnal
a. Regularly
b. Day and night
c. Nightly
d. Taking place on a daily basis

7 .Amnesty
a. The act of liberating someone
b. Modern facilities
c. Agreement between enemies
d. Negotiation

8. Pout
a. A type of animal
b. A particular facial expression
c. To show love or affection
d. Aggression

Group Captain Rahman is choosing the last part of his crew for the spaceship COSMOS, with which he plans to land on the moon. He needs 4 more crew members of whom at least two must be pilots, the others being engineers. The candidates for Pilots are Chirag, Deepak and Amit. The candidates for Engineers are Ajay, Surinder, Karan and Abhinav. Deepak will not crew with Ajay. Chirag will not crew with Karan.

9.If Karan is chosen, which of the following must be other members of the crew?
a. Amit, Ajay and Surinder
b. Chirag, Deepak and Surinder
c. Deepak, Amit and Surinder
d. Deepak, Amit and Abhinav

10.If Abhinav is chosen, which candidates will NOT be chosen to be on the crew ?
a. Chirag, Deepak and Surinder
b. Chirag, Deepak and Amit
c. Chirag, Amit and Ajay
d. Deepak, Amit and Ajay

Directions: Read the following statements to answer these questions:
.A, B, C, D, E and F are a group of friends from a club. There are two housewives, one lecturer, one architect, one accountant and one lawyer in the group. There are two married couples in the group. The lawyer is married to D who is a housewife. No lady in the group is either an architect or an accountant. C, the
accountant, is married to F who is a lecturer. A is married to D and E is not a housewife.
11. What is E ?
a. Lawyer
b. Architect
c. Lecturer
d. Accountant

12.How many members of the group are males?
a. 2
b. 3
c. 4
d. None of these

13.A disagreement between Loksabha and Rajya Sabha is resolved by:
a. A joint parliamentary standing committee of the two Houses.
b. Mediatory efforts by the Speakers of the two Houses.
c. A joint session of the two Houses for the purpose.
d. Conciliation and mediation by the President.
e. None of the above

14.A Writ will lie against
a. Any body corporate
b. Government
c. Government and private companies
d. Against the State
e. All of the above

15.The age of retirement of a Judge of Supreme Court of India is
a. 60
b. 62
c. 65
d. 75
None of the above

16. Robbery is dacoity when committed by
a. Six persons
b. Eight persons
c. Ten persons
d. Five persons

17. Defamation is both a tort and a crime
a. True
b. False

18. Rylands v. Fletcher laid down the principle of
a. Absolute Liability
b. Strict Liability
c. Vicarious Liability
d. Civil Liability

19. A company has a legal personality different from that of the shareholders.
a. Saloman v. Saloman and Co.
b. Daimler company Ltd. v. Continental Tyre and Rubber Co.
c. Donoghue v. Stevenson
d. None of the above

20. Essay: Governance Issues for India as a Developed Nation

The Indian Institute of Technology Kharagpur is a public engineering institution established by the government of India in 1951.

[Raman Vij]

As you asking for the question paper of the linear Algebra of the B.tech 2nd year the question paper is as follow:


Q1. Find if the following operations are binary operations or not
(i) Addition on the set of natural numbers
(ii) Subtraction on the set of natural numbers
(iii) Subtraction on the set of integers
(iv) Division on the set of real numbers
Q2. Consider the basis
123 {, , } S αα α = of
3
Rwhere 12 3 (1,1,1) , (1,1, 0) , (1, 0, 0) αα α = = = . Let the linear
transformation
32 : TR R → be defined as 12 3 ()(1,0),( )(2,1),()(4,3) TT T αα α = =−= . Find (2, 3,5) T − .
Q3. Find conditions on , aband c so that
3
(,,) abc R ∈ belongs to the space generated by
( 2,1, 0) , (1, 1, 2) uv= = − and (0, 3, 4) . w= − Will u,v,w generate whole
3
R? State reason in support
of your answer.
Q4. Find a basis and the dimension of the subspace W of
3
R, where
3
{( , , ) : 2 0, 2 3 0} W xyz R x y z x y z = ∈ + += ++ =
Q5. Let V be the vector space of all 2×2 symmetric matrices over R. Find the dimension of V.
Q6. Let T be the set defined by
(i)
3
{( , , ) : 0} T xyz R x z = ∈==
(ii)
3
{( , , ) : 0} T xyz R x y = ∈==
(iii)
32 2 2 {( , , ) : } T xyz R x y z = ∈ +=
(iv)
3
{ ( , , ) : 1} T xyz R x y z = ∈ ++=
For each case, find if T is a subspace of 3Ror not.


Let 123 (, , ) αα αand
12 (, ) ββ be ordered bases of the real vector spaces U and V respectively. A
linear mapping : TU V → maps the basis vectors as
1 12 2 12 3 1 2
() ;( ) 3 ;( ) 3 ; TT T αββαββαββ =+=−=+
Find the matrix T relative to the ordered bases
1 223
( ,,) α ααα + of U and
11 2 (, ) ββ β+ of V.
Q8. Two linear mappings
(i)
33 1
:RR φ → maps the vectors (0,1,1), (1,0,1) and (1,1,0) to the vectors (1,1,-1), (1,-1,1) and
(1,0,0) respectively.
(ii)
33 2
:RR φ → maps the vectors (1,2,3), (2,3,1) and (3,1,2) to the vectors (0,1,1), (1,0,1) and
(1,1,0) respectively.
Test1 φand
2 φ for isomorphism.
Q9. Let V(R) be the vector space of all polynomials in x with elements in R. Consider the linear
transformation D on V defined as [ ()] () ()
d
Dfx fx fx V
dx
= ∀∈ . Find if D is invertible.
Q10. A linear mapping
33 : TR R → maps the basis vectors (0,1,1), (1,0,1), (1,1,0) of
3
Rto the vectors
(2,0,0), (0,2,0), (0,0,2) respectively. Find (i) Ker T (ii) dim Ker T (iii) Im T (iv) dim Im T.
Q11. Let V(R) be the vector space of all complex numbers a+ib over the field of reals R and T be a
mapping from V(R) to V2
basis in V(R) together with its image in V
(R) defined as T(a+ib) = (a,b). Find if T is an isomorphism. Write a
2(R).
Q12. Let
33 : TR R → be a linear transformation defined by
123 1 3 1 2 1 2 3 ( , , ) (3 , 2 , 2 4 ) Txxx xx xx x x x = + − + −+ +
(i) Find if T is invertible.
(ii) If so, find
T-1
.
for Any queries you may contact to the IIT kharagpur the contact details are as follow
Contact details :
Address: Kharagpur, West Bengal 721302
Phone: 03222 255 221