MODEL QUESTIONS
ENGLISH
[FOR BOTH
GROUP 'X'(TECHNICAL) & GROUP 'Y'TRADES]
Select the correct verb
Q1. Besides his parents, he _________also present a
t the function.
(A) is (B)was (C)has (D) has been
Ans :B
Identify the correct preposition
Q2. The thunder was accompanied ______a heavy rain.
(A)from (B)by (C)up (D)through
Ans :B
Choose the misspelt word.
Q3. (A) disparity (B)illusion (C)inevitable (
D)middle
Ans :A
Fill in the blank with correct article.
Q4. _____things of beauty is a joy forever.
(A)the (B)a (C)an (D)none of these
Ans :A
Identify the antonym of the given word
Q.5 Embellish
(A)Sacrifice (B)Disfigure (C)Foreit (D)Indict
Ans :B
Give one word substitute
Q6. A well experienced person.
(A)wise man (B) Intelligent (C) Old man (D) V
eteran
Ans :D
Q7. An accident which results in death
(A) Injurious (B) Dangerous (C)Fatal (D) Ter
rible
Ans : C
Identify the correct choice
Q8. He has purchased a bag of ____________
(A)floor (B)flour (C)flower (D)flaur
Ans :B
Identify the synonym of the given word
Q9. Zest
(A)pleasure (B)distaste (C)flop (D)encircles
Ans :A
Fill in the blank with suitable conjunction
Q10. He will never pass,______hard he may try
(A) However (B) Whatever (C) Never (D) Whenever
Ans :A
Form an adjective from the given word
Q11. Gold
(A)The Gold (B)Golder (C) Golden (D)Goldest
Ans : C
Give the plural of the given word
Q12. Hero
(A) Heroine (B) Heros (C) Heroies (D) Heroes
Ans :D
Fill in the blank with suitable word
Q13. Barking dogs____bite
(A) regularly (B)rarely (C)seldom (D)frequentl
y
Ans :C
Identify the incorrect part
Q14. No boy
in his son's class
is as bright as
his son is
A B C D
Ans :D
Identify the meaning of the given idioms/phrases
Q15. To live in fool's paradise
(A)to have an absolutely false conception (B)to cre
ate a stir
(C)to be clear (D)to get fairly involved
Ans :A
Identify the indirect speech
Q16. The teacher said to me, "Be regular and learn
your lesson daily" The teacher:
(A) told me that to be regular and learn my lesson
daily
(B) said to me regular and learn my lesson daily
(C)advised me to be regular and learn my lesson dai
ly
(D) request me to be regular and learn lesson daily
Ans :C
Change the voice
Q17. It is time to buy books.
It is time__________
(A) all the books to be bought
(B) for the books to be bought
(C) for books have been bought
(D) for books are being bought
Ans :B
Read the following passage and answer Q No.18 to 20
ﬁA man who has no sense of historyﬂ, Hitler declar
ed, ﬁis like a man who has
no ears or eyesﬂ. He himself claimed to have had a
passionate interest in history
since his school days and he displayed considerable
familiarity with the course of
European history. His conversation was studied with
historical references and
historical parallels. More than that, Hitler's whol
e cast of thought was historical, and
his sense of mission was derived from his sense of
history. Like his contemporary
Spangler, Hitler was fascinated by the rise and fal
l
of civilisations. He was himself
born at a critical moment in European history when
the liberal bourgeois world of the
nineteenth century was disintegrating. What would t
ake its place? The future lays
with the 'JewBolshevik' ideology of the masses unl
ess Europe could be saved by the
Nazi racist ideology of the elite.
Q18. Who has no ears or eyes?
(A)A man having sense of history
(B)A man who has no sense of history
(C)A man who has extra knowledge
(D)A man having passionate interest in history
Ans :B
Q19. Hitler displayed familiarity with:
(A)Scientific facts (B)Indian history
(C)European history (D)None of these
Ans :C
Q20. Hitler's sense of mission was derived from :
(A)His love of mankind (B) his sense of history
(C) Nowhere (D) contemporary society
Ans :B
MODEL QUESTIONS  PHYSICS
Q1.
Which of the following is the fundamental quantity
?
(A)
/Volume (B)
/ Velocity (C)
/Time (D)
/Force
Ans : C
Q2.
˘ˇˆ˙˝˛˚˜ !
"#˚$%!˘
&˜'
(!˘ˇ#˙˜
A ball is projected with a velocity of 15 m/s makin
g an angle of 30
0 with the
horizontal. Calculate the time of flight of the ba
ll ( Give g= 10m/s
2 )
(A) 1.5 Second (B) 3.5 Second (C) 2 Second (D) 5 Se
cond
Ans: A
Q3.
)*
)*
The dimension formulas for impulse is same as the
dimensional formula for
(A)
/Momentum (B)
/Force
(C)
+)˚,
/Torque (D)
˝,˘
/Rate of change of momentum
Ans : A
Q4.
˘,˝˛˛
˙˛˝˝.
˛˝˝.!˜'
$˝˛˛/
˙0
For a common base amplifier, V is the collector b
ase battery, I
c the current
in the collector circuit, R
l
the resistance connected is collector circuit and V
cb
the voltage across collector & base, then
(A) V
cb
=V
cc
+ I
cRL (B) V
cb
= V
cc
I
cRL (C) V
cc
= V
cb
 I
cRL (D)
11,
/None of these
Ans : A
Q5.
,*1,11,0
The SI unit of Universal Gas constant (R) is :
(A) Watt k
1
mol
1
(B) NK
1
mol
1
(C) JK
1
mol
1
(D) erg K
1
mol
1
Ans : C
Q6.
˘˝˝˙2˙˝
+3
+s
s &
4$ *5
Two thin and infinite parallel plates have uniform
densities of charge +
s and
s. What is the electric field in the space between t
hese plates?
(A)
s/2
e0 (B)
s/e0 (C) 2
s /
e0
(D)
)
/ Zero
Ans : B
Q7.
(˘˛˝˘.,˝
70N
,&6#˝˛,˚˜
3˚˘$
˘˛
________
A force of 70N gives an object of unknown mass an a
cceleration of 20m/s
2.
The mass of unknown object is________.
(A) 7 Kg (B) 0.3 Kg (C) 3.5 Kg (D)
35 Kg
Ans : C
Q8.
!˜˜&˝!0
Zener diode is used as :
(A)
˝˛,
/An amplifier
(B)
˘7˙8˝
/An rectifier
(C)
˘8˝
/An oscillator
(D)
9*8˝
/A Voltage regulator
Ans : D
Q9.
ˆ#˜'$˚˜/$%5
0.05
˝˛˚˜˘:'$$˚˜
&3˝4$
The magnetic flux through a 50 turn coil increase
at the rate of 0.05 Wb/s.
What is the induced emf between the ends of the coi
l?
(A) 2.5V (B) 5V (C) 3V (D) 7V
Ans : A
Q10.
˙˝9˘;%˘)<#
6#,˝*
%˘)
/
The focal length of objective of a telescope is 60
c.m. To obtain a
magnification of 20, the focal length of the eyepi
ece should be
(A) 2cm (B) 5cm (C) 4cm (D) 3cm
Ans : D
Q11.
$3˝11,
Which of the following is a derived unit?
(A)
˘˛=
/Mass (B)
1,=
/Length (C)
/Time (D)
/Velocity
Ans : D
Q12.
˝˚$
>˝
Atomic bomb is based on the principle of
(A)
9?˜
/Nuclear Fission (B)
9
/Nuclear Fusion
(C)
9˛˚
/Nuclear Transition
(D)
˜&3!,
/Radio Emission
Ans: A
Q13.
9˜'$ˇ##˛!
!&!
A weightless rubber balloon has 100gm of water in i
t. Its weight in water will
be
(A) 100gm (B) 200gm (C) 50gm (D)
)
/Zero
Ans : D
Q14.
˘˘˛˝,3˚&
3˝)˙˘)>
$0
If a force ‚f™ action on a mass ‚m™ produces accele
ration ‚a™ then as per
Newton™s second law of motion :
(A) f = ma (B) f = a/m (C) f = m/
a (D) m = af
Ans : A
Q15.
*!
1mF, 2
mF.
6mF
@;?˛!˜'1!

The three capacitors whose capacitances are 1
mF, 2
mF and 6
mF are
connected in a series. The equivalent capacitance o
f the combination is
(A) 2/5
mF (B) 3/5
mF (C) 1/3
mF (D) 1/5
mF
Ans : B
Q16. LCR
˝˝.˝!
The alternating current in LCR circuit is maximum
when
(A) X
L =0 (B) X
C=0 (C) X
L
= X
C (D) X
L2 +X
C2
=1
Ans : C
Q17.
A˙1! !!5.
.
The efficiency of a Cornot engine working between t
he steam point and ice
point is
(A) 28.8 % (B) 27.8 % (C) 26.8 %
(D) 23.8 %
Ans : C
Q18.
˝˙˜'˝B$
Railway tracks are banked on curves so that
(A)
C˙˝/1,+7,˚˝˘
/No frictional force may be produced
between the tracks and wheels
(B)
˜'˘
/The train may not fall down inward
(C)
˝˙˚˝˛˛ !+
˙9˘˛˝˛C!
/Necessary centripetal force may be obtained from t
he horizontal component
of normal reaction due to the track
(D)
11,
/None of the above
Ans : C
Q19.
˘)/˝˛1,!
4$/$
_____
The electromagnetic waves used in the telecommunica
tion are_____.
(A)
˝
/Ultraviolet (B)
5
/Infrared
(C)
˘;
/Visible (D)
)
/Microwave
Ans : D
Q20.
<#˛!!ˇ#˙
˝˛˜˘˜'
__
The momentum of a boy of 60 Kg weight running at 10
m/s is
(A) 500 Kg m/s (B) 600 Kg m/s (C) 550 Kg m/s (D)
450 Kg m/s
Ans : B
Q21.
!$)˝/
5&!
˝˛˘0
When an aero plane is making a loop, pilot does not
fall down because his
weight provides the necessary
(A)
$83˝
/Force against gravity
(B)
9˘˛
/Centripetal force
(C)
˝˘˛
/Centrifugal force
(D)
/Viscous force
Ans : B
Q22.
D#˛˘˛$˝
350 N
$>,!˝˛9
..1
3˚
_____
A net force of 350 N acts on a body of mass 70 Kg w
hich is initially at rest. Its
acceleration is ______ m/s
2.
(A) 3 (B) 7 (C) 5 (D) 9
Ans : C
Q23.
˘˛$˘0
Two sources of sound are said to be in resonance, w
hen
(A)
!!
/They look like similar
(B)
!;E&3˝
/They produce sound of same
frequency
(C)
!˘)7˘)˝.
/They are situated at a particular
distance from each other
(D)
!˛>&3˝
/They are produced by same source
Ans : B
Q24.
!!˝;.F˝!
$83˚3˚+˙˝;.
/!
˝0
Acceleration due to gravity decreases as we go up f
rom the surface of the earth.
Then in going below the surface of the earth it
(A)
:'
/Increases
(B)
+˙
/Decreases
(C)
.
/Remains constant
(D)
+˙%:'
/Decreases then increases
Ans : B
Q25.
˝;.$˜˝!˝0
Ozone layer above earth™s atmosphere will
(A)
),5˚/
/Prevent infrared radiation from sun
(B)
˝;.˝,5˚˝;.
$˜/
/Infrared rays reflected
from earth from escaping earth™s atmosphere
(C)
),˝˚/
/Prevent ultraviolet rays from sun
(D)
˜˝˝,
/Reflect back radio waves
Ans : C
MODEL QUESTIONS  MATHEMATICS
Q1
A = {
x :
x,3
$˚!
}
B = {
x :
x,5
$˚!
}
A
Ç B
˘
:
Let A = {
x :
x is a multiple of 3} and B = {
x :
x is a multiple of 5}. Then
A
Ç B is given by
(A){3, 6, 9,–} (B) {5, 10, 15, 20,–}
(C) {15, 30, 45,–} (D)
11,
/ None of these
Ans : C
Q2 sin 15
0
_________
/ The value of sin 15
0 is equal
to___________
(A)
2213 (B)
2213+ (C)
213 (D)
213+ Ans : A
Q3
˘
P(n)
.
ﬁn (n+1) (n+2), 12
>9!
ﬂ
P(3)
5
?
If P(n) is the statement ﬁn (n+1) (n+2) is divisibl
e by 12ﬂ, then what is P(3) ?
(A) 12
>
12
9!
/ 12 is divisible by 12
(B) 12
>
24
9!
/ 24 is divisible by 12
(C) 12
>
48
9!
/ 48 is divisible by 12
(D) 12
>
60
9!
/ 60 is divisible by 12
Ans : D
Q4
2)1(
121ii+ ˝˚
_____
/ The modulus of
2)1(
121ii+ is _____.
(A) 1 (B) 3 (C) 5 (D) 2
Ans : A
Q5
˚
xxx5125
5532=++
__
Solution of the equation
xxx5125
5532=++ is ___.
(A)
x = 0,3 (B)
x = 1, 3 (C)
x = 0, 4 (D)
x = 2, 3
Ans: A
Q6
*9$!7,˘$
(0, 0), (3, 0)
(0, 4)
*˛9$!˘(
The vertices of a triangle are (0, 0), (3, 0) and (
0, 4). The centroid of the
triangle is
(A) (1/2 , 2) (B) (1, 4/3) (C) (0, 0) (D)
11,
/
None of these Ans : B
Q7
x2 +
y2 Œ p
x + 3
y Œ 7 = 0
x2 +
y2 Œ 16
x Œ 9p
y Œ 4 = 0
;E˚˙
p
___________
The value of p
for which the circles
x2 +
y2 Œ p
x + 3
y Œ 7=0 and
x2 +
y2 Œ
16
x Œ 9p
y Œ 4 = 0 cut orthogonally is _________.
(A) 3 (B) 1 (C) 2 (D) 4
Ans : C
Q8
˝!9
(3, 0)
x + 5 = 0
&˚
_________
The equation of a parabola whose focus is (3, 0) a
nd the directrix is
x + 5 =
0, is___
(A)
x2 = 4 (
y Œ 4) (B)
x2 = 4 (
y + 5) (C)
y2 =
4 (
x Œ 4) (D)
y2 = 4 (
x +4)
Ans : D
Q9
˘
(x /3 Œ 2/x
2)10
r˝˘
x4
r0
If the r
th
term in the expansion of (
x/3 Œ 2/
x2)10
contains
x4, then r is equal to
(A) 2 (B) 3 (C) 4 (D) 5
Ans : B
Q10
@:'˘)˝˘
˝˛9
?
In an A.P the sum of terms equidistant from the beg
inning and end is equal to
_____.
(A)
˝˝˘
/ First term (B)
˘)˝˘
/ Second term (C)
˝
˝˘
/ sum of first and last terms
(D)
˝˘
/ last term Ans : C
Q11 A
,
B
˘
C
˝˛˘!
?
How many words can be formed using the letter A thr
ice, the letter B twice
and the letter C once ?
(A) 50 (B) 60 (C) 55 (D) 40
Ans : B
Q12 e
x = 1 +
x +
! 22x+
! 33x+ –––
¥, _______
/ is valid for ___.
(A) Œ1 <
x < 1 (B) Œ1
£ x
£ 1
(C)
9
x / all real
x (D)
11,
/ None of these
Ans : C
Q13
˘
/ If A =
85
7643
/and
B =
63
5421
/ then 2A + 3B = ?
(A)
34
1
29
24
14
10
(B)
34
1
29
24
14
9
(C)
34
11
29
24
14
9 (D)
11,
/ None of these
Ans : B
Q14
˚
/ Determinant
111yxzxzzyyx+++
/ is equal to
(A) Œ1 (B) 1 (C) 2 (D) 0
Ans : D
Q15
xexxsin
1sin
2®p
/
xeLim
xxsin
1sin
2®p is equal to_______.
(A) e Œ 1 (B) e + 1 (C) e (D) e + 2
Ans : A
Q16
l
(/˘
%
,
x =  1
˝
Find the value of the constant
l so that the function given below is continuous
at
x = 1: f(
x) =
=¹+1,
1,1322xxxxxl (A) Œ 4 (B) 4 (C) 3 (D) Œ3
Ans : A
Q17
dx
d(e
cos
x) =______
(A) sin
x e
cos
x (B) Œ sin
x e
cos
x
(C) cos
x e
cos
x (D)
11,
/None of these
Ans : B
Q18
dx
d(tan
1
log
x) = __________
(A)
](logx)
1[
12+x (B)
](logx)
1[
12+x
(C)
](logx)
1[
12x (D)
11,
/None of these
Ans : A
Q19
$*!
10
˝˛˚˜˘:'!*
˛!
15
$˝;7G
˛%˘:'
?
The radius of a ballon is increasing at the rate of
10 cm/sec. At what rate is the
surface area of the ballon increasing when the radi
us is 15 cm?
(A) 1200
p ,˝
/ 1200
p cm
2/sec
(B) 120
p ,˝
/ 120
pcm
2/sec
(C) 150
p ,˝
/ 150
p cm
2/sec
(D) 1500
p,˝
/ 1500
pcm
2/sec
Ans : A
Q20
(!
f(
x) = 2
x3 Œ 3
x2 Œ 36
x + 7
..+˙
The interval in which the function f(
x) = 2
x3 Œ 3
x2 Œ 36
x + 7 is strictly
decreasing is :
(A) (2, 3) (B) (
¥, 2)
(C) (3,
¥) (D)
11,
/None of these
Ans : A
Q21 (0, 0)
˝
y = sin
x9˚0
The equation of the normal to the curve
y = sin
x at (0, 0) is
(A)
x = 0 (B)
y = 0 (C)
x +
y = 0 (D)
x Œ
y = 0
Ans : C
Q22
+211)sin(tan
xx d
x =_______.
(A) cos
x (tan
1
x) + C (B)  cos
x (tan
1
x) + C
(C) 2
x cos
x (tan
1
x) + C (D) Œ2
x cos
x (tan
1
x) + C
Ans : B
Q23
?
2y= 3
x + 12
>˝
4y= 3
x2 ˙9 ˛%
____
,*
The area cut off the parabola 4
y = 3
x2 by the straight line 2
y = 3
x + 12 in sq
units is:
(A) 16 (B) 21 (C) 27 (D) 36
Ans : C
Q24
˛˝
y = e
x (A cos
x + B sin
x)!
A
B/H/
,
˚
____
The differential equation of the family of curves
y
= e
x (A cos
x + B sin
x), where A and B are arbitrary constants, is:
(A)
22dx
yd  2
dx
dy
+ 2
y = 0 (B)
22dx
yd + 2
dx
dy
 2
y = 0
(C)
22dx
yd +
2
dx
dy
+
y = 0 (D)
22dx
yd  7
dx
dy
+ 2
y = 0
Ans : A
Q25
˝A.5.&H!
˝A˝
6
.5˝/E9(
One die and one coin are tossed simultaneously. Th
e probability of getting 6
on die and head on coin is
(A) 1/2 (B) 1/6
(C) 1/12 (D)
11,
/None of these
Ans : C