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IIT-JEE & NEET LEVEL - 15 (9-0)

Total questions: 100

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Heat is

a)

A form of energy

b)

A form of vibration

c)

A form of oscillation

d)

A form of puzzle

2.

Vibrational motion is

a)

Rotation on its own axis

b)

Vibration on its own axis

c)

Moving to and fro

d)

Stationary

3.

Translational motion is

a)

Rotational in nature

b)

Moving to and fro

c)

Stationary

d)

Dynamic random motion

4.

Rotational motion is?

a)

Rotating on its own axis

b)

Vibrating on its own axis

c)

Moving too and fro

d)

Dynamic random motion

5.

Heat is measured in?

a)

Newton

b)

Pascal

c)

Joule

d)

Bar

6.

Joule unit is

a)

Newton second

b)

Newton meter

c)

Newton kilogram

d)

Newton meter squared

7.

The amount of heat energy required to raise the temperature of one gram of water by one degree celsius from 14.5 to 15.5 degree celsius is

a)

Joule

b)

Calorie

c)

Kilocalorie

d)

Newton meter

8.

The amount of heat energy required to raise the temperature of one kilogram of water by one degree celsius from 14.5 to 15.5 degree celsius is

a)

Calorie

b)

Newton meter

c)

Kilocalorie

d)

Pascal

9.

One calorie

a)

4.400 joules

b)

4.290 joules

c)

4.186 joules

d)

4.900 joules

10.

One kilocalorie is

a)

2000 calories

b)

10000 calories

c)

1000 calories

d)

100 calories

11.

One joule is

a)

0.238 calorie

b)

0.5 calorie

c)

2 calories

d)

4.186 calorie

12.

One kilocalorie is

a)

4186 joules

b)

4900 joules

c)

1000 joules

d)

100 joules

13.

Television can be substituted by

a)
b)
c)
14.

Calorie is a measure of

a)

Energy

b)

Weight

c)

Distance

d)

Volume

15.

A calorie is officially defined as the

amount of energy it __________ to raise the temperature of 1 gram of water by 1 degree

Celsius,

a)

takes

b)

take

c)

have

d)

has

16.

Refrigerator can be substituted by?

a)
b)
c)
d)
17.

Air - conditioner can be substituted by?

a)
b)
c)
d)
18.

Electric cooker and microwave can be substituted by?

a)
b)
c)
d)
19.

Electric water heater can be substituted by?

a)
b)
c)
d)
20.

Heat and temperature are the same thing

a)

true

b)

false

21.
Name this process
a)
eating
b)
phagocytosis
c)
destruction
d)
ingesting
22.
Antibiotics do not work on 
a)
bacteria
b)
viruses
c)
fungi
d)
children
23.
Which of the following can cause infections to open cuts?
a)
Baceteria
b)
Viruses
c)
Fungi
d)
All of them
24.
HIV is an example of what kind of transmission?
a)
Bloodborne
b)
Waterborne
c)
Airborne
25.
What is the scientific term for spreading a disease?
a)
Passing
b)
Catching
c)
Transmitting
d)
Giving
26.
Which disease is caused by a bacteria?
a)
flu
b)
cold
c)
athletes foot
d)
strep throat
27.
What is one way a pathogen can enter the body?
a)
Nose
b)
Mouth
c)
Broken Skin
d)
All of the Aove
28.
What pathogen causes the common cold?
a)
Virus
b)
Bacteria
c)
Fungi
d)
Protista
29.
Viruses are
a)
easily killed
b)
destroyed by antibiotics
c)
nonliving
d)
different kinds of bacteria
30.
Which picture illustrates a type of coccus bacterium?
a)
Picture 1.
b)
Picture 2
c)
Picture 3
31.
Cholera is spread through
a)
polluted air
b)
contaminated food and water
c)
insect bites
d)
helminths
32.
Some staphylococcal infections result from direct contact with infected wounds.
Which of the following cells is a first line of defence against staphylococcal bacteria? 
a)
B cells
b)
Skin cells
c)
Killer T cells
d)
Helper T cells
33.
Disease-causing microorganism, such as a bacterium or virus.
a)
pathogen 
b)
allergen
c)
prion 
d)
antigen 
34.
Which of the following is not a characteristic sign of acute inflammation?
a)
lasts for a long period of time
b)
swelling
c)
loss of movement
d)
redness
35.
The process where leukocytes engulf and digest bacteria is called 
a)
leukocytosis
b)
hydrostatic pressure
c)
pathogenolysis
d)
phagocytosis
36.
Inflammation is designed to be a protective defensive mechanism. 
a)
True
b)
False
37.
which of the following is NOT one of the signs of inflammation?
a)
redness (erythema)
b)
heat 
c)
pain
d)
bleeding
38.
What do white blood cells do?
a)
Seek out and kill all living tissue
b)
Seek out and kill pathogens
c)
Transport food around the body
d)
Repair cuts and injuries
39.
Which of the following is NOT a nonspecific defense?
a)
mucus
b)
sweat
c)
antibodies
d)
tears
40.
Antibiotics are used to treat
a)
viruses
b)
bacteria
c)
both viruses and bacteria
d)
fungal infections, only
41.
What is atomic number?
a)
Number of protons in an atoms 
b)
Number of neutrons in an atom
c)
Mass of an atom
d)
Charge on an atom
42.

2. A quantum number determining orbital orientation around the atom’s core is called... .

a)

n

b)

l

c)

m

d)

s

43.

3. A subshell containsing 7 orbitals is called ... subshell.

a)

s

b)

p

c)

d

d)

f

44.

5. The total amount of electrons that can be filled within p subshell are ... electrons.

a)

6

b)

10

c)

14

d)

18

45.

7. The magnetic quantum number (m), has value within... .

a)

0 up to (n-1)

b)

0, 1, 2, 3, ...

c)

-l up to. +l

d)

-1/2 and +1/2

46.

8. A theory stating that electrons have the trend of taking the orbitals from the lowest energy level to the highest is the theory of... .

a)

Pauli exclusion’s principle

b)

Aufbau principle

c)

Hund’s rule

d)

Heissenberg’s probability

47.

12. A subshell that contains 5 orbitals is ... subshell.

a)

d

b)

s

c)

f

d)

p

48.

15. Orbital shape of an atom is characterized by ... quantum number.

a)

Spin projection

b)

Primal

c)

Magnetic

d)

Azimuthal

49.

Who proposed that electrons are only found in specific, discrete circular orbits around the nucleus?

a)

Albert Einstein

b)

Erwin Schrodinger

c)

Ernest Rutherford

d)

Niels Bohr

50.

If n = 3, what is the maximum number of electrons that can fit in this shell?

a)

2

b)

8

c)

18

d)

32

51.

How many d orbitals make up the d subshell?

a)

1

b)

5

c)

3

d)

7

52.

What orbital is shown in the picture?

a)

s orbital

b)

p orbital

c)

d orbital

d)

f orbital

53.

Which of the following values does NOT represent a valid electron?

a)

n=(2), l=(1), ml=(1), ms=(+1/2)

b)

n=(4), l=(2), ml=(-1), ms=(-1/2)

c)

n=(2), l=(0), ml=(0), m=(-1/2)

d)

n=(4), l=(2), ml=(-3), ms=(+1/2)

54.

Which formula is used to determine the electrons in a particular shell ?

a)

n2

b)

2n

c)

n

d)

2n2

55.

Quantum numbers are used to describe______.

a)

Proton

b)

Nucleus

c)

Electron

d)

Positron

56.

For a principal quantum number n, how many atomic orbitals are possible?

a)

n2

b)

n+1

c)

n

d)

2n+1

57.

For the principal quantum number n = 4, it is possible to have____.

a)

Only s orbital

b)

Only s ,p orbital

c)

Only s and f orbital

d)

Only s, p, d, f orbitals

58.

How many maximum number of electron could be present in l shell ?

a)

1

b)

4

c)

3

d)

8

59.

Maximum number of electrons in a subshell can be

a)

4l + 2

b)

4l – 2

c)

2n2

d)

2l + 1

60.

This shape is that of a...

a)

s orbital

b)

d orbital

c)

p orbital

d)

f orbital

61.

Which symbol do we use to represent multiplication in Algebra?

a)

b)

x

c)

$

d)

!

62.

Decreased by means

a)

Addition

b)

Multiplication

c)

Subtraction

d)

Division

63.

TWICE means two times.

a)

False

b)

True

64.

Which of the following represents "the square root of a number"?

a)

 x3x^3  

b)

 x\sqrt{x}  

c)

 t2t^2  

d)

2n

65.

 10x8\frac{10x}{8}  can be written as

a)

The quotient of eight and ten

b)

Ten times a number minus eight

c)

The quotient of 10 times a number and eight

d)

Eight minus ten times a number

66.

x less than 10 can be written as

a)

10 - x

b)

x - 10

c)

Both

d)

Neither

67.

Sum means to add.

a)

True

b)

False

68.

Translate the following expression: "Five times the sum of x and 6".

a)

(x+6) + 5

b)

5(x+6)

c)

5x + 6

d)

All of the above

69.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
70.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
71.
2x + 3 + x2; for x = 4
a)
17
b)
27
72.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
73.

These are mathematical expression of one or more algebraic terms and non-negative integer exponents.

a)

Factoring

b)

Special Products

c)

Polynomials

74.

Given the mathematical expression, 4x6, what do you call 6?

a)

base

b)

exponent

c)

variable

75.

What are the CORRECT factors of 18x2-30xy?

a)

6x (-3x+5y)

b)

6x (3x - 5y)

c)

3x (3x - 10y)

76.

Factor 9x2 – 1.

a)

(3x – 1) (3x + 1)

b)

(3x + 1)(3x + 1)

c)

(9x – 1) (9x – 1)

77.

Factor n2 – 8n + 16.

a)

(n + 4)2

b)

(n – 4)2

c)

(n – 8)2

78.
What is the degree classification of this polynomial?
x²+4x-8
a)
binomial
b)
trinomial
c)
quadratic
d)
cubic
79.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
80.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
81.

The value of x in cos x =  cos60° cos 30°\cos60\degree\ \cos\ 30\degree  + sin 60° sin 30°\sin\ 60\degree\ \sin\ 30\degree   

a)

 60°60\degree  

b)

 30°30\degree  

c)

 45°45\degree  

d)

 90°90\degree  

82.

 2 cos2θ =12,2\ \cos^2\theta\ =\frac{1}{2},  then  θ\theta  is

a)

 45°45\degree  

b)

 90°90\degree  

c)

 60°60\degree  

d)

 30°30\degree  

83.

 If tan 5θ = 1, then  θ is If\ \tan\ 5\theta\ =\ 1,\ then\ \ \theta\ is\   

a)

 10°10\degree  

b)

  9°9\degree  

c)

 12°12\degree  

d)

 18°18\degree  

84.

 If θ is an acute angle such that cos θ = 35, then sin θ tan θ  12 tan2θ =If\ \theta\ is\ an\ acute\ angle\ such\ that\ \cos\ \theta\ =\ \frac{3}{5},\ then\ \frac{\sin\ \theta\ \tan\ \theta\ -\ 1}{2\ \tan^2\theta}\ =  


a)

 16625\frac{16}{625}  

b)

 136\frac{1}{36}  

c)

 3160\frac{3}{160}  

d)

 1603\frac{160}{3}  

85.

If 8 tan x = 15, then sin x - cos x =

a)

 817\frac{8}{17}  

b)

 177\frac{17}{7}  

c)

 117\frac{1}{17}  

d)

 717\frac{7}{17}  

86.

 If cosθ = 23, then 2 sec2 θ+2 tan2θ  7 = If\ \cos\theta\ =\ \frac{2}{3},\ then\ 2\ \sec^2\ \theta+2\ \tan^2\theta\ -\ 7\ =\   

a)

1

b)

0

c)

3

d)

4

87.

 1tan245°1+tan245°= \frac{1-\tan^245\degree}{1+\tan^245\degree}=\   

a)

 tan 90°\tan\ 90\degree  

b)

1

c)

 sin 45°\sin\ 45\degree  

d)

 sin 0°\sin\ 0\degree  

88.

 If x tan 45° cos 60° = sin 60° cot 60°, then x =?If\ x\ \tan\ 45\degree\ \cos\ 60\degree\ =\ \sin\ 60\degree\ \cot\ 60\degree,\ then\ x\ =?  

a)

1

b)

 3\sqrt{3}  

c)

 12\frac{1}{2}  

d)

 12\frac{1}{\sqrt{2}}  

89.

 If secθ + tan θ = x, then tan θ = ?If\ \sec\theta\ +\ \tan\ \theta\ =\ x,\ then\ \tan\ \theta\ =\ ?  

a)

 x2+1x\frac{x^2+1}{x}  

b)

 x21x\frac{x^2-1}{x}  

c)

 x2+12x\frac{x^2+1}{2x}  

d)

 x212x\frac{x^2-1}{2x}  

90.

 If x = a cos θ and y = b sinθ, then b2 x2+a2y2 = ?If\ x\ =\ a\ \cos\ \theta\ and\ y\ =\ b\ \sin\theta,\ then\ b^2\ x^2+a^2y^2\ =\ ?  

a)

ab

b)

 a2b2a^2b^2  

c)

 a4 b4 a^{4\ ^{ }}b^{4\ ^{ }}  

d)

 a2+b2a^2+b^2  

91.

 If cos A + cos2A  =1, then sin2A + sin4A = ?If\ \cos\ A\ +\ \cos^2A\ \ =1,\ then\ \sin^2A\ +\ \sin^4A\ =\ ?  

a)

-1

b)

0

c)

1

d)

2

92.

 9 sec2 A 9tan2A = ?9\ \sec^2\ A\ -9\tan^2A\ =\ ?  

a)

1

b)

8

c)

9

d)

0

93.

 (1 + tan θ + sec θ) (1 + cotθ  cosec θ) = ?\left(1\ +\ \tan\ \theta\ +\ \sec\ \theta\right)\ \left(1\ +\ \cot\theta\ -\ \operatorname{cosec}\ \theta\right)\ =\ ?  

a)

0

b)

1

c)

2

d)

-1

94.

(Sec A + tan A) ( 1 - sin A) = ?

a)

Sec A

b)

Sin A

c)

Cosec A

d)

Cos A

95.

 1+tan2A1+cot2A= ?\frac{1+\tan^2A}{1+\cot^2A}=\ ?  

a)

 sec2A\sec^2A  

b)

-1

c)

 cot2A\cot^2A  

d)

 tan2A\tan^2A  

96.

If sinA = 0.5, then tan A = ........

a)

1/√3

b)

1/2

c)

√3/2

d)

√3

97.

Find the value of following:
sin30° x  cos2\cos^2 45° x  tan3\tan^3 45°

a)

3/4

b)

1/4

c)

1/√2

d)

1

98.

If cot(A-15°) = √3, then find the value of A.

(a)  

99.

 If cosec2θ = 2 cotθ, then find the value ofθIf\ \operatorname{cosec}^2\theta\ =\ 2\ \cot\theta,\ then\ find\ the\ value\ of\theta 

(a)  

100.

What is the value of (cos° x cos1° x cos2° x (a)   x cos90°)