xe-aop sample papepr 2014

AOP 10th (Engineering Aspirants Sample Paper)
SAMPLE PAPER – ACE OF PACE (DELHI & NCR)
FOR STUDENTS MOVING FROM CLASS – 10TH TO CLASS 11TH
(ENGINEERING ASPIRANTS)
DURATION: 2 HOURS
Paper Pattern:
Section: 1
Section: 2
Section: 3
Section: 3
TOTAL MARKS: 240
Physics
Chemistry
Maths
Mental Ability
Q. No. 01 to 15
Q. No. 16 to 30
Q. No. 31 to 45
Q. No. 46 to 60
INSTRUCTIONS
1.
2.
3.
4.
5.
6.
7.
This booklet is your question paper. Answers have to be marked on the provided OMR sheets.
Blank sheets are provided for rough work along with the question paper.
Log tables, Slide rule, Calculators, Cellular phones and other Electronic devices in any form are NOT allowed in the
examination hall.
If a student is caught copying, he / she will not be allowed to write the exam.
On the OMR sheet, write in ink your name, roll number and name of the centre and put your signature in the appropriate
boxes.
USE ONLY BALL PEN TO DARKEN YOUR ANSWERS.
There are total 60 questions in this paper. Only one choice is correct. Each question carries +4 for correct answer 0 for
wrong answer.
For answer key of this sample paper contact our nearest centre
DELHI & NCR
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1
AOP 10th (Engineering Aspirants Sample Paper)
1.
PHYSICS
Five identical resistance coils are connected in the network as shown in the figure and the resistance
measured between A and B is 1. Then the individual coil must have a resistance of
(a) 1
(c)
2.
3.
7

4
(b)
1

4
(d)
4

7
A copper wire ring is suspended vertically, on bringing a bard magnet towards the ring then ring will :
(a) move towards magnet
(b) move away from magnet
(c) remains stationary
(d) rotate with respect to suspension fibre
The amount of charge that would flow in 1 hour through an element of an electric bulb drawing a
current of 2 A
4.
5.
(a) 1800 C
(b) 3600 C
(c) 7200 C
(d) 9000 C
Two thin spherical lenses of power 2.0 D and –0.50 D are kept close to each other. What is the
magnification produced, when an object is placed 20 cm in front of this combination?
(a)
5
7
(c)
7
5
(b)
10
7
(d)
7
10
Which of the following networks yields maximum current?
(a)
(b)
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AOP 10th (Engineering Aspirants Sample Paper)
(c)
6.
7.
(d)
Which among the following gets strongly attracted by magnets?
(a) Diamagnetic substances
(b) Paramagnetic substances
(c) Ferromagnetic substances
(d) All of the above
A heater of coil resistance 120  draws a current of 3 A from a battery. The same battery is connected
across a toaster which draws a current of 5 A from it. The resistance of the toaster is
8.
(a) 8 
(b) 72 
(c) 200 
(d) 1800 
Soft iron is used to manufacture electromagnets because their :
(a) coercive force is high
(b) retentivity is high
(c) area of hysteresis curve is large
(d) magnetic saturation limit is high & retentivity and coercive force are small
9.
10 .
Which of the following is an application of the phenomenon of total internal reflection?
(a) Laser
(b) Spherical lenses
(c) Optical fibres
(d) LED
When light passes from medium-1 to medium-2, it bends towards the normal as shown in the given
figure, then which of the following is correct?
Medium-1
(1)
Medium-2
(2 )
i
(a) sinr < sini
(c)
1
1
2
r
(b)
2
1
1
(d) None of these
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AOP 10th (Engineering Aspirants Sample Paper)
11.
A bar magnet has been cut equally lengthwise and widthwise to give four equal pieces. The pole
strength of each piece as compared to the pole strength of original bar magnet is :
(a) Same
(b)
1
8
1
4
(d)
1
2
(c)
12.
A student moves towards a plane mirror with velocity 2 m/s. With what velocity will the boy observe the
image moving?
13.
14.
15.
16.
17.
18.
19.
(a) Zero
(b) 4 m/s towards the boy
(c) 2 m/s away from the boy
(d) 2 m/s towards the boy
Which of the following has the least calorific value?
(a) Coal
(b) Petrol
(c) Diesel
(d) Natural gas
Which switch in the circuit when closed will produce short circuiting?
(a) A
(b) B
(c) C
(d) None of the above
Which of the following is used to absorb the neutrons in a nuclear reactor ?
(a) Moderator
(b) Coolant
(c) Boron Rod
(d) Graphit
CHEMISTRY
Action of heat on copper sulphate crystal is a
(a) Reversible process
(b) Physical change
(c) Dehydration
(d) All of the above
Graphite is a
(a) Mixture of carbon and sand
(b) Compound of carbon and silica
(c) Elemental carbon
(d) Mixture of charcoal & sulphur
Water is
(a) Mixture
(b) Compound
(c) Element
(d) none of the above
Electrolysis of water is a
(a) Physical change
(b) Chemical change
(c) Dehydration process
(d) All of the above
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AOP 10th (Engineering Aspirants Sample Paper)
20.
21.
22.
23.
24.
25.
26.
What is the conjugate base of NH3?
(a) NH 2
(b) NO2
(c) NO3
(d) NH 4
Aqua-regia is
(a) 1 vol. HCl + 3 vol. HNO3
(b) 1 vol. HNO3 + 3 vol. HCl
(c) equal volume of HNO3 and HCl
(d) 1 volume HNO3 + 3 vol. H2SO4
Name a base which is amphoteric in nature:
(a) H2O
(b) Zinc oxide
(c) Ammonium hydroxide
(d) None of the above
If pH value increases acidic nature
(a) Increases
(b) Decreases
(d) No change
(d) None of these
If H  concentration is 108 M for HCl then it is
(a) Acidic
(b) Basic
(c) Neutral
(d) None of these
Name a gas obtained when zinc reacts with con. nitric acid.
(a) Nitric acid
(b) Zinc acids
(c) Nitrogen monoxides
(d) Nitrogen dioxide
Which of the following is correct?
(a) Elements is the simplest form of matter
(b) The constituents of mixture retain their identity
(c) Melting of ice is a physical change
(d) All of the above are correct
27.
28.
29.
Bleaching powder is added to water in order to
(a) Make it odorless
(b) Destroy the bacteria
(c) Remove the suspended impurity
(d) ppt salt as nitrate
Carborundum is
(a) Silicon Carbides
(b) Silicon dioxides
(c) Silium nitroxide
(d) Silicon phosphids
Which of the following decomposition reaction required heat energy to take place?
(a) Decomposition of lead nitrate
(b) Decomposition of water
(c) Decomposition of silver chloride
(d) Decomposition of silver bromide
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AOP 10th (Engineering Aspirants Sample Paper)
30.
Fe+4H2O  Fe OH 3  H 2 . Which atom is balanced?
(a) Iron
(b) Hydrogen
(c) Oxygen
(d) Both (b) & (c)
MATHEMATICS
31.
32.
What is the obtuse angle between the hands of a clock at 6 minutes past 8 o’clock?
(a) 123o
(b) 126o
(c) 153o
(d) 156o
Given that the number 2006 is the correct answer to the calculation
1  2  3  4  5  6  ...   n  2    n  1  n , what is the sum of the digits of n?
33.
(a) 3
(b) 4
(c) 5
(d) 6
The diagram shows two semicircular arcs, PQRS and QOR. The diameters, PS and QR, of the
two semicircles are parallel; PS is of length 4 and is a tangent to semicircular arc QOR. What
is the area of the shaded region?
R
Q
P
34.
O
(a) 2  2
(b) 3
(c) 
(d) 2  4
1
3
S
6
7
In the figure given below, PQ = 2 , PS = 6 and QPR = RPS . How long is PR?
6
P
1
2
3
Q
6
7
S
R
(a) 3
1
2
(b) 4
(c) 4
1
4
(d) 5
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AOP 10th (Engineering Aspirants Sample Paper)
35.
The sum of 9 consecutive positive whole numbers is 2007. What is the difference between the
largest and smallest of these numbers?
36.
(a) 8
(b) 9
(c) 10
(d) 18
Which of the following could be the graph showing the circumference C of a circle in terms of
its diameter d?
C
C
(a)
(b)
d
d
C
C
(c)
(d)
d
37.
d
A 30cm  40cm page of a book includes a 2cm margin on each side, as shown. What percentage
of the page is occupied by the margins?
38.
(a) 14%
(b) 16%
(c) 20%
(d) 22%
The diagram shows a regular pentagon PQRST. The lines QS and RT meet at U. What is the
size of angle PUR?
P
T
Q
U
R
S
(a) 108o
(b) 112o
(c) 116o
(d) 126o
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AOP 10th (Engineering Aspirants Sample Paper)
39.
40.
What percentage of the large 5  5 square is shaded?
(a) 40%
(b) 60%
(c) 66%
(d) 75%
A solid wooden cube is painted blue on the outside. The cube is then cut into 27 smaller cubes
of equal size. What fraction of the total surface area of these new cubes is blue?
41.
(a)
1
6
(b)
1
5
(c)
1
4
(d)
1
3
The shaded region is bounded by eight equal circles with centres at the corners and midpoints
of the sides of a square. The perimeter of the square has length 8. What is the length of the
perimeter of the shaded region?
42.
(a) 
(b) 2
(c) 3
(d) 4
The diagram shows a square inside a regular hexagon. What is the size of the marked angle at
X?
X
(a) 45o
(b) 50o
(c) 60o
(d) 75o
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AOP 10th (Engineering Aspirants Sample Paper)
43.
If p,q are distinct primes less than 7, what is the largest possible value of the highest common
factor of 2 p2 q and 3 pq 2
44.
45.
(a) 60
(b) 45
(c) 36
(d) 20
If the zeroes of the quadratic polynomial ax 2 + bx + c  c  0  are equal, then
(a) c and a have opposite sign
(b) c and b have opposite sign
(c) c and a have the same sign
(d) c and b have the same sign
If cos9 = sin ( < 10°), then the value of tan5 =
(a) 0
(b) 1
(c) 1/ 3
(d)
3
MENTAL ABILITY
Directions (46 to 50) : Read the following information carefully and answer question given below it :
There are five persons A, B, C, D and E. One is badminton player, one is chess player and one is
tennis player. A and D are unmarried ladies and do not take part in any game. None of the ladies play
chess or badminton. There is a married couple in which E is a husband. B is the brother of C and is
neither a chess player nor a tennis player.
46.
47.
48.
49.
50.
Who is the badminton player?
(a) A
(b) B
(c) C
(d) D
Who is tennis player?
(a) A
(b) B
(c) C
(d) D
Who is chess player?
(a) A
(b) B
(c) C
(d) E
Who is the wife of E?
(a) A
(b) B
(c) C
(d) D
The three ladies are
(a) A, B and C
(b) B, C and D
(c) A, B and D
(d) A, C and D
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AOP 10th (Engineering Aspirants Sample Paper)
51.
Dice has been shown in different position. Study the patter of the numbers on each face of it and find
out the value of the sign *?* from four alternatives given.
52.
(a) 1
(b) 2
(c) 3
(d) 5
How many triangles are there in the figure given below.
(a) 16
(b) 12
(c) 18
(d) 19
Directions (53 to 54) : There are two sets figures. One is Questions Figures and the other is Answer –
Figures. There is some relationship between the first two figures of the Question Figures. The same
relationship exists between the third and fourth figures. Select the option of the correct Answer – Figure
for the place of question mark (?).
53.
Question – Figure
Answer – Figure
54.
Question – Figure
Answer – Figure
55.
If 323 × 41 = 14323, 137 × 72 = 27731, 48 × 87 = 7884 then 34 × 75 = ?
(a) 5743
(b) 5437
(c) 3475
(d) 4375
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AOP 10th (Engineering Aspirants Sample Paper)
56.
57.
5, 9, 17, 35, 65, 129
(a) 65
(b) 35
(c) 17
(d) 9
Bittoo is 11th in a queue which has 45 people. The number of gents in the queue is double the number
of ladies. If 5 men are in front of Bittoo, how many ladies are behind him?
(a) 10
(b) 9 (c)
8
(d)
7
Directions (58 to 59) : In each question there are four sets of letters. One set of different from the rest
three in some way or the other. Find out this different set.
58.
59.
(a) Triangle
(b) Square
(c) Tangent
(d) Rhombus
In a group of children, each child gives a gift to every other. If the number of gifts is 90, how many
children are there?
60.
(a) 10
(b) 11
(c) 8
(d) 9
X and Y played a game of cards. Each time X gave 10 cards to Y. Y returned 12 cards to him. This
game wet on till all the cards with Y got finished. Supposing the exchange of cards took place four
times, how many cards did Y have initially?
(a) 48
(b) 10
(c) 40
(d) 8
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