entrance exam – IILM CET

1. Question

1 point(s)

18, 30, 48, 72, 96,______

106
115
120
96

2. Question

1 point(s)

Newton’s First Law of Motion is sometimes called the “Law of Inertia”. What is “inertia”?

Inertia is the word used to describe non‐reactive elements like argon
Inertia is just another, scientific name for “weight”.
It’s the name used for the force that keeps a planet (for example)in a (nearly) circular orbit around the Sun.
It’s the tendency of an object to stay in a constant state of rest or uniform motion.

3. Question

1 point(s)

The conjugate of a complex number is 1/i-1. Then the complex number is

-1/i-1
1/i+1
1/i-1
-1/i+1

4. Question

1 point(s)

12, 32, 72, 152,_______,632

515
613
815
312

5. Question

1 point(s)

Kepler’s laws are mostly applicable.

Law of gravity in space.
Planetary motions.
Conservation of angular momentum.
Law of inertia

6. Question

1 point(s)

Among the following the maximum covalent character is shown by the compound

AlCl3
MgCl2
FeCl2
SnCl2

7. Question

1 point(s)

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

a = 0, b = 7
a = 5, b = 2
a = 3, b = 4
a = 2, b = 4

8. Question

1 point(s)

1, 2, 3, 5, 7,______,13

8
9
10
11

9. Question

1 point(s)

Newton’s theory about gravity says that gravity

is what pulls or pushes the planets forward in their orbits around the Sun.
exists between any two objects that have mass.
only exists for very large objects like planets and stars.
is the strongest of all the natural forces

10. Question

1 point(s)

The number of types of bonds between two carbon atoms in calcium carbide is

One sigma, two pi
One sigma, one pi
Two sigma, one pi
Two sigma, two pi

11. Question

1 point(s)

The equation |x-2|+|x-9|=7 has solution if

x=2
x=9
x>=9
2<=x<=9

12. Question

1 point(s)

3, 8, 22, 63, 185,_____

285
500
310
550

13. Question

1 point(s)

In which of the following pairs of molecules/ions, both species are not likely to exist?

H2+, He22-
H2–, He22-
H22+, He2
H2–, He22+

14. Question

1 point(s)

The last two digits of the number 3^400 is

39
29
1
43

15. Question

1 point(s)

J,L,N,P,R,T,________

V
X
Y
Z

16. Question

1 point(s)

The number of d-electrons retained in Fe2+ (At.no. of Fe = 26) ion is

4
5
6
3

17. Question

1 point(s)

Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case

525
502
515
505

18. Question

1 point(s)

C,F,I,L,O,R,_________

V
U
W
X

19. Question

1 point(s)

Which of the following statements in relation to the hydrogen atom is correct ?

3s orbital is lower in energy than 3p orbital
3p orbital is lower in energy than 3d orbital
3s and 3p orbitals are of lower energy than 3d orbital
3s, 3p and 3d orbitals all have the same energy

20. Question

1 point(s)

Which of the following is a synonym for “ubiquitous”?

Rare
Scarce
Common
Inexistent

21. Question

1 point(s)

AD, EH, IL, ____, QT, UX

MP
MN
MO
MQ

22. Question

1 point(s)

∆U is equal to

adiabatic work
isothermal work
isochoric work
isobaric work.

23. Question

1 point(s)

Which of the following words is an antonym of “verbose”?

Talkative
Concise
Loquacious
Voluble

24. Question

1 point(s)

AZ, BY, CX, D________

E
W
R
V

25. Question

1 point(s)

The enthalpy change for a reaction does not depend upon the

physical states of reactants and products
use of different reactants for the same product
nature of intermediate reaction steps
difference in initial or final temperatures of involved substances

26. Question

1 point(s)

Which of the following is a type of sentence that expresses a strong emotion or command?

Declarative
Interrogative
Exclamatory
Imperative

27. Question

1 point(s)

aa HI cc, cc JK ee, ee LM gg, ____

ff NO ii
gg NO ii
gg ON ee
ee ON ii

28. Question

1 point(s)

Which of the following are Lewis acids?

PH3 and BCl3
AlCl3 and SiCl4
PH3 and SiCl4
BCl3 and AlCl3

29. Question

1 point(s)

Which of the following is a synonym of “prolific”?

Inept
Productive
Apathetic
Indifferent

30. Question

1 point(s)

A 20 kg solid block of Aluminum (Al = 2.70 g/cc) is placed in a beaker of water filled to the brim. Some water overflows. The same is done in another beaker with a 20 kg solid block of lead (lead = 11.3 g/cc) Does the block of lead displace more, less, or the same amount of water as the aluminum block?

More
Less
The same amount
There is not enough information

31. Question

1 point(s)

What is the conjugate base of OH–?

O2
H2O
O–
O2-

32. Question

1 point(s)

Which of the following is a preposition?

Book
Near
To
Running

33. Question

1 point(s)

A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown. Relative to its initial position with respect to the table, the ball:-
(i) Remains stationary if there is no friction between the paper and the ball.
(ii) Moves to the left and starts rolling backwards, i.e. to the left if there is a friction between the paper and the ball.
(iii) Moves forward, i.e. in the direction in which the paper is pulled.
Here, the correct statement/s is/are

only (i)
only (ii)
both (i) and (ii)
only (iii)

34. Question

1 point(s)

The correct relationship between free energy change in a reaction and the corresponding equilibrium constant Kc is

∆G = RT ln Kc
–∆G = RT ln Kc
∆G° = RT ln Kc
–∆G° = RT ln Kc

35. Question

1 point(s)

Which of the following is an antonym for “infamous”?

Notorious
Respected
Dishonorable
Disreputable

36. Question

1 point(s)

A bomb at rest explodes into a large number of tiny fragments. The total momentum of all the fragments

Is zero.
depends on the total mass of all the fragments.
depends on the speed of various fragments
is infinity

37. Question

1 point(s)

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

2700
2900
3000
3100

38. Question

1 point(s)

Which of the following words is an adjective?

Quickly
Truthful
Happily
Rapidly

39. Question

1 point(s)

Body of mass 2kg is acted upon by two perpendicular forces 4N along the x‐axis and 3N along y‐axis. What is the magnitude of the acceleration of the body?

1.5 ms‐2
2.0 ms‐2
2.5 ms‐2
3.5 ms‐2

40. Question

1 point(s)

At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are of be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is

5040
6210
385
1110

41. Question

1 point(s)

Which of the following is a clause?

Quickly
Because he is late
Happily
Rapidly

42. Question

1 point(s)

A box is being pushed horizontally along the floor in a straight line at a constant speed. What must be true of the magnitude of the applied pushing force compared to the magnitude of the (kinetic) friction force?

The applied force must be larger than the frictional force or the object wouldn’t be sliding forward.
The answer depends on the mass of the box
The frictional force must be just slightly less than the applied pushing force
The applied force is equal in size to the frictional force

43. Question

1 point(s)

What is the value of factorial Zero (0!)

10
0
1
-1

44. Question

1 point(s)

Which of the following sentences is in the passive voice?

The teacher graded the papers.
The papers were graded by the teacher.
She will grade the papers.
They are grading the papers.

45. Question

1 point(s)

Which are the correct units for coefficient of friction?

newtons
m/s
1/N
none of these

46. Question

1 point(s)

y = sinx + cosx – 5a what is dy/dx

cosx – sinx
cosx + sinx -5
sinx – secx
sinx + cosx + 5

47. Question

1 point(s)

Which of the following is a synonym for “enthusiastic”?

Eager
Apathetic
Consern
Feeble

48. Question

1 point(s)

Considering Newton’s model of gravity, which of the following statements concerning the “constants” G and g is true?

Neither g nor G depend on location. (They are both “universal” constants.
Both g and G depend on location
The value of G is believed to be the same anywhere in the universe.
The value of g and G turn out to be equal (to each other) at the surface of a planet.

49. Question

1 point(s)

A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P (A ∪ B) is

3-5
0
1
5-2

50. Question

1 point(s)

15, 20, 30,_____,65

35
40
45
50

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