1. science
2. physics

MACRO VISION ACADEMY, BURHANPUR
Entrance Test - 2014 -15
Class: XI
1.
2.
Time: 1.30.hr.
M.M.: 75
* Each questions carries 1 marks.
Section – I (Mathematics) (25 marks)
If the sum of n terms of an A.P. is 2n2 + 5n, then its nth term is :
(a) 4n  3
(b) 3n  4
(c) 4n  3
(d) 3n  4
ABCD is a trapezium in which AD ||BC, E and F are the midpoint of AB & CD
respectively. Then EF =
(a)
3.
ET2014/PCM/1
AD BC
2
(b)
AB CD
2
(c)
DF  CF
AE  BE
(d)
AD EF BC
2
In the diagram PQ and QR are tangents to the circle with centre O at P and R respectively.
Find the value of x
R
S
110
x
O
65
Q
P
4.
5.
(a) 25°
(b) 30°
(c) 55°
(d) 65°
What must be subtracted from z3 + 6z2  z +5 to obtain a polynomial which is exactly
divisible by (z + 3)?
(a) 33
(b) 32
(c) 34
(d) 35
A man bought some fruits at the rate of 16 for Rs.24 and sold them at the rate of 8 for
Rs.18. What is the profit percent?
(a) 25%
6.
If x 
(a) 2
7.
3
1
5
(b) 40%
2
93
, then the value of x is:
125
2
(b) 1
5
9.
(c) 3
4
5
(d) 60%
(d) 4
1
5
If x2+k(4x+k–1)+2=0 has equal roots, then k=
2
(a)  ,1
3
8.
(c) 50%
(b)
2
, 1
3
(c)
3 1
,
2 3
3 1
(d)  , 
2 3
Two cubes, each of edge 12 cm are joined end to end. Find the surface area of the
resulting cuboid.
(a) 1450 cm2
(b) 1440 cm2
(c) 1420 cm2
(d) 1410 cm2
476** 0 is divisible by both 3 and 11. The non zero digit in the hundred’s and ten’s places
are respectively ________.
(a) 7 and 4
(b) 7 and 5
(c) 8 and 5
1
(d) 6 and 3
10.
A conical vessel of radius 6 cm and height 8 cm is completely filled with water. A metal
sphere is now lowered into the water. The size of the sphere is such that when it touches
the inner surface, it just gets immersed. The fraction of water that overflows from the
conical vessel.
(a) 3/8
(b) 5/8
(c) 7/8
(d) 5/16
11.
If   are the roots of the equation x 2 5x  5  0 then equation whose roots are + 1 and
 + 1 is :
(a) x 2 5x  5  0
12.
(b) x 2  3x  5  0 (c) x 2  3x  1  0
(d) None of these
Length of a shadow of a person is x when the angle of elevation of the sun is 45°. If the
length of the shadow increases by ( 3  1 ) x, then the angle of elevation of the sun should
13.
be come.
(a) 60°
(b) 45°
(c) 30°
(d) 20°
An integer is chosen at random from the number ranging from 1 to 50. The probability
that the integer chosen is a multiple of 2 or 3 or 10 is :
(a)
14.
(b)
38
50
(c)
36
50
(d)
41
50
If the points (a, 0) (0, b) and (1,1) are collinear then which of the following is true ?
(a)
15.
33
50
1 1
 2
a b
(b)
1 1
 1
a b
(c)
1 1
 1
a b
(d)
1 1
 2
a b
ABCD is a rectangle in which AB = 20cm and BC = 10 cm. A semicircle is drawn with
centre at O and radius 10 2 cm. If passes through A and B as shown in figure. Find the
area of the shaded region in terms of .
(a) 300  50
(b) 400  100
(c) 600  50
(d) 250  25
D
C
A
B
O
16.
The value of
(a)
6 1
7 2 10 is :
(b)
4 3
(c)
5 2
(d)
2 5
9
, the value of n is :
3n
17.
If 9n 
18.
(a) 4/3
(b) 1/3
(c) 2/3
(d) 2
In the adjacent figure, if AB = 12cm, BC = 8cm and AC = 10cm, then AD =
19.
(a) 5 cm
(b) 4 cm
(c) 6 cm
(d) 7 cm
If 7 cos ec  3 cot   7, then the value of 7 cot   3 cos ec is equal to
(a) 5
(b) 3
(c)
2
7
3
(d)
3
7
20.
21.
22.
23.
4 : x : : x : 9 , then value of x :
(a) 6
(b) 9/4
(c) 18
In the given figure, ABCD is a parallelogram.’
The quadrilateral PQRS is exactly
(a) a square
(b) a parallelogram (c) a rectangle
(d) a rhombus
In the given figure, the value of OPR is
(a) 65°
(c) 20°
(b) 10°
(d) 50°
If the radius (r) of a sphere is reduced to its half then, new volume would be :
(a)
24.
25.
26.
27.
28.
29.
30.
(d) 2/3
14 3
 r 
23

(b)
4 r3 
 
3 2
(c)
4 r3 
 
3 8
(d)
4 r3 
 
6 8
The mean of 25 observations is 36. Out of these observations if the mean of first 13
observations is 32 and that of the last 13 observations is 40, the 13th observation is
(a) 23
(b) 36
(c) 38
(d) 40
Given two concentric circles with centre 0. A line cuts the circles at A, B, C, D respectively
if AB 10 cm then length CD is
(a) 5cm
(b) 10cm
(c) 7.5 cm
(d) None 0
Section – II (Physics) (15 Marks)
A ball is dropped from a window 24 meters high. How long will it take to reach the
ground?
(a) 2.2s
(b) 1.2s
(c) 4.5s
(d) 0.2s
S.I. unit of G is
(a) m s2
(b) N m2 kg2
(c) No unit
(d) None of these
A constant force of 10 N causes a box to move at a constant speed of 2 m/s. How much
work is done in 10 seconds?
(a) 200J
(b) 50J
(c) 10J
(d) 2J
Earthquake produces which kind of sound before the main shock wave begins
(a) ultrasound
(b) infrasound
(c) audible sound (d) None of the above
A ray of light travels from medium Ito medium II. The figure given shows the variation of
sin of angles of incidence (sin i) in medium I with sin of angle of refraction (sin r) in
medium II.
3
31.
32.
33.
34.
35.
36.
37.
38.
39.
Consider the following statements
(A) Speed of light in medium I > Speed of light in medium II.
(B) Speed of light in medium I < Speed of light in medium II.
(C) Light travels from denser medium to rarer medium.
Which of the statement given above is/are correct ?
(a) (A) only
(b) (B) only
(c) (A) and (C)
(d) (B) and (C)
A moving charge experiences maximum force when the angle between its velocity and
magnetic field is
(a) 0°
(b) 30°
(c) 60°
(d) 90°
Direction of the force experienced by a current-carrying conductor when placed in a
magnetic field is dependant on
(a) direction of the current alone
(b) direction of the magnetic field alone
(c) direction of current as well as the direction of magnetic field
(d) None of these
Ocean-Thermal-Energy Conversion plants operate if
(a) water on the surface of oceans is hot enough to boil a volatile liquid like ammonia
(b) temperature difference between the water at surface and water at depths up to 2 km is
at least 293 K or 20° C
(c) Both(a) and (b)
(d) Neither (a) nor (b)
The resistance of a wire of 5 mm diameter is 10  for 5 meter of its length. If the diameter
is doubled then its resistance will be
(a) 25 
(b) 50 
(c) 20 
(d) 40 
Find the resistance between points P and Q in the following diagrams
(a) 2/3 
(b) 3/2 
(c) 5/6 
(d) 8 
Transformer is a device used to convert.
(a) AC into DC
(b) DC into AC
(c) high voltage to low voltage
(d) none of these
A ball is thrown up with a velocity of 19.6 m/s. If the thrower receives back the ball after 4
seconds, how high did the ball go?
(a) 19.6 m
(b) 39.2 m
(c) 29.4 m
(d) None of these
Ram goes from home to school at 20 km/h and returns home at 30 km/h. The average
velocity of Ram during the whole journey is :
(a) 15 km /h
(b) 25 km /h
(c) 35km/h
(d) 50 km/h
The number of images formed when the two plane mirrors are inclined at 30° is :
(a) 5
(b) 7
(c) 9
(d) 11
4
40.
41.
42.
43.
For a converging lens where an object should be placed so as to get a highly magnified
image?
(a) Between F and O
(b) Between F and 2F
(c) At F
(d) At 2F
Section – III (Chemistry) (15 Marks)
The cause of Brownian movement is
(a) convection current
(b) heat changes in liquid state
(c) impact of molecules of dispersion medium on colloidal particles.
(d) attractive forces between particles of dispersed phase and dispersion medium.
The blue colour of water in the sea is due to:
(a) absorption of other colour except blue by water molecules
(b) scattering of blue light by sol particles
(c) refraction of blue1ight by impurities present in sea water
(d) reflection of blue sky by sea water
Which of the following describes an isotope with a mass number of 99 that contains 56
neutrons in its nucleus ?
(a)
99
56
Ba
(b)
43
56
Ba
(c)
99
43
Ba
(d)
56
43
Ba
44.
55
25
45.
(a) 25 protons and 30 neutrons
(b) 25 neutrons and 25 protons
(c) 25 electrons and 40 protons
(d) None of the above
The following reaction is an example of a
46.
47.
48.
49.
50.
Mn  has
(i) displacement reaction
(ii) combination reaction
(iii) redox reaction
(iv) neutralisation reaction
(a) (i) and (iv)
(b) (ii) and (iii)
(c) (i) and (iii) (d) (iii) and (iv)
When the gases sulphur dioxide and hydrogen sulphide mix in the presence of water, the
reaction is SO2 + 2H2S  2H2O + 3S. Here hydrogen sulphide is acting as
(a) an oxidising agent
(b) a reducing agent
(c) a dehydrating agent
(d) a catalyst
Acid contained in the sting of an ant is ……………
(a) acetic acid
(b) formic acid
(c) lactic acid
(d) ascorbic acid
Which of the following compounds is neutral to litmus?
(a) NaNO3
(b) CuSO4,5H2O
(c) NaHCO3
(d) Ca(OH)2
Column-I
Column-II
(A) Iron
(p) Cassitetite
(B) Aluminium
(q) Galena
(C) Tin
(r) Haematite
(D) Lead
(s) Bauxite
(a) A—(r); B-(p); C—(s); D—(q)
(b) A—(q); B—(s); C—(p);D—(r)
(c) A—(s); B—(r); C—(p); D—(q)
(d) A—(r); B—(s); C—(p); D—(q)
Consider the following statements:
(A) Al2O3 is a neutral oxide.
(B) N2O is an acidic oxide.
Which of these statement(s) is/are correct?
(a) (A)only
(b) (B)only
(c) Both (A) and (B) (d) Neither (A) nor (B)
5
51.
The functional group present in CH3COC2H5 is
(a) ketonic
52.
53.
(c) ester
(d) carboxylic
The IUPAC name of the compound
(a) 1—Chloro—3—methylbutane
(b) 2—Methyl—4—chlorobutane
(c) 2—Methyl—1—chlorobutane
(d) 1—Chloropentane.
Which of the following gives the correct increasing order of the atomic radii of O, F and N?
(a) O,F,N
54.
(b) aldehydic
(b) N,F,O
(c) O,N,F
(d) F,O,N
Consider the following statements:
(A) As Z (atomic number) increases, atomic orbitals become smaller and, more stable.
(B) The number of shells increases in a given period from left to right in the periodic table.
Which of these statement(s) is/are correct ?
(a) (A) only
55.
(b) (B) only
(c) Both (A) and (B) (d) Neither (A) nor (B)
What is the mass (in grams) of 3 moles of N?
(a) 14
(b) 28
(c) 42
(d) 56
Section – IV (V-MAT) (10 Marks)
56.
—ab a a a b a—a—a
(a) a b a
57.
(d) 9,27
(c) Acre
(d) Mile
(b) Star
(c) Mountain
(d) Forest
(b) 32
(c) 35
(d) 42
(b) GHI
(c) PQS
(d) GFH
(b) Furlong
TSR:FED::WVU?
(a) CAB
62.
(c) 18,27
12:30::20:?
(a)25
61.
(b) 9,18
Choose the odd one ;
(a) Plateau
60.
(d) bab
Choose the odd one :
(a) Metre
59.
(c) aab
1,1,1,2,4,8,3—,—
(a) 6,12
58.
(b) abb
If EAT is 26, ZEAL is 44 and AROMA is 48. How is ‘HELMET’ written in the same
language?
(a) 23
63.
(b) 63
(c) 83
(d) 53
In a row of boys facing the North, A is sixteenth from the left end and C is sixteenth from
the right end. B, who is fourth to the right of A, is fifth to the left of C in the row. How
many boys are there in the row?
(a) 39
(b)40
DIRECTIONS (Qs.49):
A + B means ‘A is father of B’
A — B means ‘A is wife of B’
A x B means ‘A is brother of B’
(c) 41
6
(d) 42
64.
A+ B means ‘A is daughter of B’
If P x R — Q, which of the following true.
(a) P is brother in law of Q
(b) P is brother of Q
(c) P is uncle of Q
(d) P is father of Q
65.
(a) 117
(b) 100
(c) 78
(d) 63
Section – V (English) (10 Marks)
Read the passage given below and answer the questions that follow by choosing the
answer from the given option
By the time our delayed train reached and I disembarked with my father and baby
Lavanya, it was well past midnight. It was cold, dark and foggy. My husband, Manas, who
was to receive us, was nowhere in sight. Soon the platform became deserted. Then, a burly
man approached us and offered to carry our bags. He wasn’t wearing the usual porter’s
red shirt and tag, and though I was wary, my father decided to hire him. Leaving Lavanya
and me with the man, my father went to look for Manas. I took a closer look at the man
and felt apprehensive. He was big and hairy, his face was pockmarked and his eyes looked
bloodshot.
Just then Lavanya, who had been sleeping in my arms, awoke, and turned to look
at the porter. He gave her a playful smile and held out his arms. I thought she’d start
crying and held her closer. But she smiled back and twisted herself out of my arms into
his. Now I was really scared. What if he ran away with my baby? He must have sensed my
fear and, even before I reached out to take Lavanya back, he handed her to me. Turning
around, he mumbled that though everyone was scared of him, yet my innocent baby had
accepted him. His eyes had tears in them. I didn’t know what to say.
At that moment my father returned with Manas, The man picked up our bags and
walked towards the car parking. As we followed him, I asked Manas to pay him a little
extra. But, having put our luggage in the car, the man refused to take payment from us.
Coming up to me, he placed his hand on my baby’s head for a moment as if to say, ‘God
bless you!’ and walked away.
66.
The author was traveling …………………
(a) alone
67.
(b) with her father (c) with her baby
(d) with her father and baby
The author felt perturbed because…………………
(a) it was a cold and foggy day
(b) the platform was deserted soon
(c) her husband, Manas, had not arrived (d) she was afraid of darkness of night
7
68.
69.
70.
The author was apprehensive when a man approached her as …………………
(a) he was scary looking
(b) her father was not with her
(c) he was drunk with bloodshot eyes
(d) her husband was nowhere in sight
The man refused payment because…………………
(a) the money offered was less
(b) he was not a porter
(c) he sensed the woman’s fears
(d) the baby had come to him
The man handed the baby back to the lady as…………………
(a) he feared the baby would start crying
(b) she reached out for the baby
(c) he realized that she was scared
71.
(d) his eyes had suddenly filled up with tears
This incident made the author realize that one should …………………
(a) not be scared of strangers
(b) only take the services of a regular porter
(c) not allow strangers to handle their children
(d) not judge people by their appearances
72.
‘Apprehensive’ means…………………
(a) appreciative
(b) fearful
(c) happy
(d) sad
Complete the dialogue by choosing the most appropriate option from the ones given
below:
Ajay :
I am feeling very hungry (73) ____________ any eating joint nearby?
Rohit :
Yes, you will have to walk a little distance. There you (74) _____ a small
restaurant.
Ajay :
(75) ----------- me?
73.
(a) Do you tell me
(b) Do you know
(c) will you tell us
(d) was there
74.
(a) will look
(b) should see
(c) will find
(d) may have got
75.
(a) may you walk
(b) will you accompany
(c) you will company
(d) why don’t you go for
8