ENTRANCE EXAM SAMPLE PAPER-1 FOR MOVING CLASS XI (ACADEMIC SESSION-2018-19) T ime : 2 Hours
Maximum Marks : 216
Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.
INSTRUCTIONS (i)
The The ques questio tion n pape paperr has has 19 print printed ed pag pages es exc exclud luding ing Answ Answer er Shee Sheet. t. Plea Please se ensu ensure re that that the the copy copy of of the question paper you have received contains all pages.
(ii)
The The ques questi tion on paper paper cont contain ains s 60 60 ques questi tions ons.. The The Que Quest stion ion paper paper cons consist ists s ofII Sections.
( ii i )
For each question in Section-I , you will be awarded 3 marks if you have darken only the bubble corresponding to the correct answer and zero mark if no bubbles are darkened. No negative marks will be awarded in this Section. For each question in Section-II (Both Part-I & Part-II) , you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one (–1) mark will be awarded. Each Each quest questio ion n con conta tains ins four four alte alterna rnativ tives es out of whic which h only onlyONE is correct. Indica Indicate te the the corr correct ect answer answer for each questio question n by by fillin filling g appro appropria priate te bubbl bubble e in your your answ answer er sheet sheet.. For rough rough work work,, use use the the space space provid provided ed at the bottom bottom of each each page. page. No extra extra sheet sheet will will be provid provided ed for rough work.
( ii i )
(vi) (vi) (v) (v) (vi) (vi) (vii) (vii) (viii) (viii)
Use Use of of Calc Calcula ulator tor,, Log Log Table, able, Slid Slide e Rule Rule and Mobile Mobile is not allowe allowed. d. The answ answer er of the the questi questions ons must must be be marked marked by shading shading the the circle circles s agains againstt the quest question ion by dark dark pencil only. only. For example if only 'B' 'B' choice is correct then, the correct method for filling the bubble is
A
B
C
D
the wrong method for filling the bubble are
(a)
A
B
C
D
C
D
C
D
P
(b)
A
B O
( c)
A
B
The answer of the questions in wrong or any other manner will be treated as wrong.
Name of the candidate
Roll Number
I have read all the instructions and shall abide by them.
I have verified all the information filled in by the candidate.
.......................................................... Signature of the Candidate
............................................................ ............................................................ Signature of the invigilator
SECTION-I Single Correct Choice Type This part contains 24 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. 1.
In figure, O is centre, then Ð AEB = O
(A) 60° 2.
Ð AEB =
(B) 65°
(C) 70°
(D) 75°
W hich of the following is (are) true when HCl (g) is passed through water? (i) It does not ionise in the solution as it is a covalent compound. (ii) it ionises in the solution. (iii) It gives both hydrogen and hydroxyl ion in the solution (iv) It forms hydronium ion the solution due to the com bination of hydrogen ion with water molecule. HCl (g) (i) (ii) (iii) (iv) (A) (i) only
(B) (iii) only
(C) (ii) and (iv)
Space For Rough Work
(D) (iii) and (iv)
3.
Four identical bulbs each rated 100 watt, 220 volts are connected across a battery as shown. The total electric power consumed by the bulbs is : 100
(A) 75 watt 4.
220
(B) 400 watt
(C) 300 watt
(D) 400/3 watt
The surface area of the three coterminous faces of a cuboid are 6, 15, 10 sq. cm respectively. Find the volume of the cuboid. (coterminous) (coterminous )
(A) 30 5.
(B) 20
6, 15, 10
(C) 40
(D) 35
If copper is k ept open in air, it slowly loses loses its shining brown surface and gains a green coating. It is due to the formation of (copper)
(A) CuSO4 6.
(B) CuCO3
(C) Cu(NO3)2
(D) CuO
In a transformer, number of turns in the primary are 140 and that in the secondary are 280. If current in primary is 4 A, then that in the secondary is : 140 (A) 4 A
(B) 2 A
280 (C) 6 A
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4A (D) 10 A
7.
In the figure, D and E are the mid-point of the sides AC and BC respectively of D ABC. If ar(DBED) = 12 cm2, then ar (D AEC) = D
E
D ABC
AC
(DBED) = 12 cm 2
BC
(D AEC) =
(A) 48 cm 2 8.
(B) 24 cm2
(D) none of these
Let N = 55 3 + 173 – 723 . N is divisible by : N = 553 + 173 – 723 (A) both 7 and 13
9.
(C) 36 cm 2
N
(divisible)
(B) both 3 and 13
(C) both 17 and 7
(D) both 3 and 17
A body of mass 2 kg is moving on a smooth floor in straight line with a uniform velocity of 10 m/s. Resultant force acting on the body is: 2 kg
(A) 20 N
10 m/s
(B) 10 N
(C) 2 N
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(D) zero
10.
In the adjoining figure, AD = BD = AC ; ÐCAE = 75º and Ð ACD = xº. Then the value of x is : AD = BD = AC ; ÐCAE = 75º
(A) 45º
11. 11.
(B) 50º
Ð ACD = xº
x
(C) 60º
(D) 37
1 º 2
The sum of 3 rd and 15th elements of an arithmetic progression is equal to the sum of 6 th, 11th and 13th elements of the sam e progression. Then which element of t he series should necessarily be equal to zero? 3rd
(A) 1st 12.
13.
15th
6th, 11 11th
(B) 9th
13th
(C) 12th
(D) None of the above
The correct sequence of a tomic radii is :
(A) Na > Mg > Al > Si
(B) Si > Al > Mg > Na
(C) Si > Al > Na > Mg
(D) Al > Si > Na > Mg
If the body makes a circular motion of radius 2 m and same uniform velocity as above. The resultant force acting on the body is. 2m (A) 20 N
(B) 100 N
(C) 2 N
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(D) Zero
14.
The side lengths of trapezium are
4
3,
4
3,
4
3 and 2 ×
4
3 . Its area in the ratio of two relatively prime
positive integers, m and n. T he value of (m + n) is equal to : 4
m
n
(A) 5 15.
3,
4
3,
4
3
2 ×
4
3
(m + n) (B) 7
(C) 9
(D) 13
In the adjoining figure , the chords XY and SR are produ ced to meet outside the circ le at P. P. The chords XR and YS meet inside the circle at T. If X = xº and ÐXTS = yº, then ÐP is equal to : XY X = xº
ÐXTS = yº
(A) (x + y)º 16.
SR
P
XR
YS
T
ÐP
(B ) (y – x)º
(C) 2(y – x)º
(D) (y – 2x)º
Two masses of 1 gm and of 4 gm are moving with equal linear momenta, the ratio of their kinetic energies is : 1 gm (A) 4 : 1
4 gm (B)
2:1
(C) 1 : 2
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(D) 1 : 16
17.
In the soap micelles : (A) the ionic end of soap is on the surface of the cluster while the carbon chain is in the interior of the cluster (B) ionic end of soap is in the interior of the cluster and the carbon chain is out of the cluster (C) both ionic end and carbon chain are in the interior of the cluster (D) both ionic end and carbon chain are on the exterior of the cluster. (soap micelles) (A)
: (cluster)
(B) (C) (D)
18.
If x = 1 +
1 x+
x=1+
1 x+----
1
19.
x
1
x+ x+
(A)
, then the value of x will be :
1
x+
1 x+----
2
(B)
3
1 2
(C)
3 2
(D)
3 2
9 balls of diameter 2 cm each are packed tightly in a box as shown. The height of the box is : 9
(A) 2 3 + 3
2 cm
(B) 2 3 + 2
(C) 2 + 3
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(D) 4
20.
A stationar y ball weighing 0.25 kg acquires a speed of 10 m/s when hit by a hockey stick. stick . Th e impulse imparted to the ball is : 0.25 kg
(A) 0.25 N × s 21.
10 m/s
(B) 2.5 N × s
(C) 2 N × s
(D) 0.5 N × s
The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. diam onds. On the way out, the thief met each watc hman, one at a time. To each he gave
1 of the 2
diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal originally? (diamonds)
3
1 2
(A) 40 22.
(B) 36
(watchman)
2
(C) 25
(D) none of these
If r 1 and r 2 are the roots of x 2 + bx + c = 0 and S0 = r 10 + r 20, S1 = r 1 + r 2 and S 2 = r 12 + r 22, then the value of S2 + bS 1 + cS 0 is : r 1
r 2
x2 + bx + c = 0
S0 = r 10 + r 20, S1 = r 1 + r 2
b
)
c
)
(C) depends on both b and c. (b
c
(D) does not dependent on b and c. (b
) c
)
Space For Rough Work
S2 = r 12 + r 22
S2 + bS1 + cS0
Paragraph for Question Nos. 23 to 24 An element E combines with O2 to form an oxide E 2O which is a good conductor of electricity. electricity. Answer the following : E, O2 23.
E2O
How many electrons will be present in the outer most shell of E? E (A) 0
24.
(B) 1
(C) 2
(D) 3
W rite the formula of the compound form ed when it combines with chlorine? chlorine?
(A) ECl2
(B) E2Cl
(C) ECl
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(D) ECl3
SECTION-II PART-I Single Correct Choice Type This part contains 24 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. 25.
a
The number of integers a such that 1 £ a £ 100 and a is a perfect square is : 1 £ a £ 100
a (A) 50 26.
(B) 53
a
a
(C) 55
(D) 56
Two candles of equal length start burning at the same instant. One of the candles burns in 5 hrs. and the other in 4 hrs. By the time one candle is 2 times the length of the other. The candles have already burnt for 5
4
2 (A) 2
27.
1 hr hrs. 2
1 hr hrs. 2
(C) 3 1 hr hrs. 9
(D) 3
1 3
hrs.
If 4x – 17y = 1 and x, y £ 500. Find how many positive integer solutions are possible ? 4x – 17y = 1 (A) 29
28.
( B) 3
x, y £ 500 (B) 28
(C) 27
(D) Cannot be determined
The sides of a quadr quadrilateral ilateral have lengths lengths 2, 3 and 4 units. If diagonals of this quadrilateral are perpendicular to each other, the length of the fourth side ca n be : 2, 3
(A) 11 units
( B)
4
units 21 un
(C) Bo Both (A) & (B)
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(D) None
29.
100 mL of 0.2 N HCl is added to 100 mL of 0.18 N NaOH and the whole volume is made two litre. The pH of resulting solution is : 100 mL, 0.2 N HCl
100 mL, 0.18 N NaOH
pH (A) 1 30.
(B) 2
(C) 3
(D) 4
A person standing standing on the floor of a lift drops a coin. The coin reaches the floor of the lift in a time t 1 if the lift is stationary and in time t 2 if its moving uniformly-Then : t1 t2 (A) t1 = t 2 (B) t1 < t 2 (C) t1 > t 2 (D) t1 < t2 or t1 > t2 depending on whether the lift is going up or down t1 < t 2
31.
t1 > t 2
The figure shows a spiral made up of successive semi circles of increasing radii and centres at P and Q alternately. alternately. The first (innermo st) semicircle has centre cent re P and radius PQ is 1 cm. The total length of a spiral of 10 semicircles will be : (spiral) P
Q
(A) 33p cm cm
P
(B) 42p cm cm
PQ, 1 cm
(C) 50p cm cm
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10
(D) 55p cm
32.
æ 1 ö æ 1 ö æ 1 ö æ ö 1 ÷+ç ÷+ç ÷ + ..... + ç ÷ W hat is the value of the following expression çç 2 ÷ ç (4 2 - 1) ÷ ç (6 2 - 1) ÷ ç ( 202 - 1) ÷ ? ( 2 1 ) è ø è ø è ø è ø æ 1 ö æ 1 ö æ 1 ö æ ö 1 ç ÷+ç ÷+ç ÷ + ..... + ç ÷ ç ( 22 - 1) ÷ ç (4 2 - 1) ÷ ç (62 - 1) ÷ ç (202 - 1) ÷ è ø è ø è ø è ø
(A)
33.
If
9 19
(B)
10 19
(C)
10 21
(D)
11 21
b + c – a c + a – b a+b-c , and are in A. P. P. and a + b + c ¹ 0, then which of the follo wing statem entss c b a
is true : b + c – a a (A) b =
34.
,
2ac a+c
c + a – b b
a+b-c c
(B) b =
a+c 2
a+b+c
(C) b = ±
ac
0
(D) None of these
Oxides are acidic, basic or amphoteric based on their metallic or non-metallic character. character. Which one on e of the following oxides reacts with both HCl and NaOH ?
HCl (A) CaO
NaOH (B) ZnO
(C) SO2
Space For Rough Work
(D) CO2
35.
An iceberg is floating in ocean. What fraction of its volume is above the water ? 3
3
(Given : density of ice = 900 kg/m and density of ocean water = 1030 kg / m ) (iceberg) (
:
= 900 kg/m
(A) 90 / 103 36.
3
3
= 1030 kg / m )
(B) 13 / 103
(C) 10 / 103
(D) 1 / 103
Consider the triangle ABC shown in the following figure where BC = 12 cm, DB = 9 cm, CD = 6 cm and
ÐBCD = ÐBAC. ABC
BC = 12 cm, DB = 9 cm, CD = 6 cm
ÐBCD = ÐBAC
What is the ratio of the perimeter of D ADC to that of DBDC?
D ADC (A)
37.
7 9
DBDC (B)
8
(C)
9
6
(D)
9
5 9
The IUPAC name of the following compound is CH 2 = CH – CH (CH 3)2 CH2 = CH – CH (CH 3)2
IUPAC )
)
(D) 1-Isopropylethylene (1-
Space For Rough Work
)
38.
The escape velocity for a rock et on the earth is 11.2 km/sec. Its value on a planet where accelerati on due to gravity is twice that on the earth and the diameter of the planet is twice that of the earth, will be (in km/sec) 11.2 km/sec
(A) 11.2 39.
(B) 5.6
(D) 33.6
AD, BE and CF are the medians of D ABC. The sum of lengths of segments BE and CF is is : AD, BE (A) <
40.
(C) 22.4
3 2
CF BC
D ABC
BE
(B) >
5 3
BC
(C) >
CF 3 2
BC
(D) <
2 3
BC
32
If (2 + 1) is divisible by a certain number then which of the following is also divisible by that number. 32
(2 + 1) 16
(A) (2 – 1) 41.
16
(B) 2 + 1
96
(C) 2 + 1
(D) None of these
(C) CH3 –CH2Br
(D) None of these
Ethyne is obtained by dehydrobromination of : (Ethyne) (A) CHBr = CHBr
(B) CH3CHBr 2
Space For Rough Work
42.
The speeds of sound so und in air and sea-water are given to be 340 m/s and 1440 m/s. resp. A ship sends a strong signal straight down and detects its echo after 1.5 secs. The depth of sea at that point is : 340 m/s
1440 m/s
1.5 (A) 2.16 km s 43.
(B) 1.08 kms
(C) 0.51 kms
(D) 0.255 k ms
A set of consecutive positive integers beginn ing with 1 is written on the blackboard. A student came and erased one number. The average of the remaining numbers is 35
7 . What was the number erased? 17
1 35
(A) 7
44.
7 17
(B) 8
The product of the roots of the equation 3
(A) – 21
(C) 9
3
(D) None of these
8 + x + 3 8 - x = 1 is :
8 + x + 3 8 - x = 1 (B) – 189
(C) 9
Space For Rough Work
(D) – 5
Paragraph for Question Nos. 45 to 46 A ray of light light falls on a prism having having one silvered silvered surface, at an incident angle of 45º 45º as shown in figure. After refraction and reflection it retr aces the path, 45º
45.
The refractive refract ive index of prism material is (prism angle is 30º) : (
(A)
46.
2
(B) 2
30º ) :
(C)
1 2
(D) (D)
1 2
W hat is the angle of emergence for the given figure?
(A) 90º
(B) 45º
(C) 30º
Space For Rough Work
(D) 60º
Paragraph for Question Nos. 47 to 48 Generally, Generally, the metals form basic oxide, where as non-m etal form acidic oxide. Only few metals form hydrides with hydrogen and these hydride are unstable, while while the non metal form stable hydrides. Metal Metal atom can donate electrons hence they are reducing agent and non-metals accept electron hence act as oxidizing agents metals having high reactivity displace low reactive metal from it's salt solution.
47.
W hich among the following can form only basic oxide
(A) Na 48.
(B) Zn
(C) Al
(D) Si
(C) Sodium
(D) Both (A) and (B)
W hich of the following will form stable hydride
(A) Boron
(B) Silicon
Space For Rough Work
PART-II PART-II MENTAL ABILITY ABILITY Single Correct Choice Type This part contains 12 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. Directions : find the next term :
49.
12, 30, 56, 90, ? (A) 130
(B) 125
(C) 147
(D) 132
(C) 8
(D) 9
Directions : find the missing term :
50.
(A) 6 51.
TRACKS = 15; ADD = 24; 24; GROUPS GROUPS = 11; ABOVE = ? (A) 6
52.
(B) 7
(B) 14
(C) 18
(D) 8
How many pairs of letters in the word ‘CONTRACTOR’ have ‘CONTRACTOR’ have as many letters between them in i n the word as in the alphabet? ‘CONTRACTOR’ (A) 2
(B) 3
(C) 4
Space For Rough Work
(D) more than 4 (4
)
53.
If I stand on my head with my face pointing Northwards, in what direction will my right-hand point? I (A) East
54.
(B) West Wes t
(C) North
(D) South
Pointing towards a woman in the photograph, Rajesh said “the only daughter of her grandfather(Paternal) is my wife”. How is Rajesh related to that woman.
(A) Uncle (Fufa) 55.
(C) Maternal uncle
(D) Brother
A baby who was was born on 29th Feb. 1896, when did he celebrate his first birthday. birthday. 29 (A) 28th Feb. 1897
56.
(B) Father
1896 (B) 29th Feb. 1900
(C) 29th Feb. 1904
(D) 20th Feb. 1908
Find the angle between between the hands of a clock clock at 20 minute past 7. 7 (A) 100º
20 (B) 210º
(C) 260º
Space For Rough Work
(D) 140º
Directions : find the mirror image :
57.
Directions : find the unfold paper pattern :
58.
Space For Rough Work
Directions : find the next figure in series :
59.
60.
Count the number of triangles and squares in the following figure :
(A) 28 trian triangl gles es,, 10 squa squares res (28 (28
, 10
)
(B) (B) 28 trian triangl gles es,, 8 squa square res s (28 (28
,8
)
(C) 32 triang triangles les,, 10 square squares s (32
, 10
)
(D) 32 trian triangle gles, s, 8 square squares s (32
,8
)
Space For Rough Work
Entrance Exam Sample paper - 01 For Moving Class XI Q.No .
ANSWERS
Q.No .
ANSWERS
Q.No .
ANSWERS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
B C A A B B B D D B C A B D D A A D B B B D B C
25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
C D A C C A D C A B B A B C C C B B A B A B A A
49 50 51 52 53 54 55 56 57 58 59 60
D B C C B A C A B D C C
BLUE PRINT OF ENTRANCE EXAM SAMPLE PAPER - 01 (COURSE-2018-19) th
MOVING CLASS 11 SUBJECT : PHYSICS S.NO.
TOPIC
Q. NO.
TOTAL MARKS
1
Work, Power and Energy
3,16
6
2
Newton's Law of Motion
9,13,20
9
3
Motion
30
4
4
Fluid
34
4
5
Gravitation
38
4
6
Sound
42
4
7
Light
45,46
8
8
Electricity
6
3
TOTAL NUMBER OF QUESTIONS
12
42
MARKS SCORED
SUBJECT : CHEMISTRY S.NO.
TOPIC
Q. NO.
TOTAL MARKS
1
Acid, Base and Salts
2,34
7
2
Metals and Non-Metals
5,23,24,47,48
17
3
Periodic classification
12
3
4
Carbon and Its compounds
17
3
5
Mole Concept
29
4
6
General Organic Chemistry
37,41
8
TOTAL NUMBER OF QUESTIONS
12
42
MARKS SCORED
SUBJECT : MATHEMATICS S.NO.
TOPIC
Q. NO.
TOTAL MARKS
1
Geometry
1,7,10,14,15,28,36,31
27
2
Mensuration
4,19
6
3
Number System
8,25,32,40,43
19
4
Progression
11,33
7
5
Quadratic Equations
18,22,44
10
6
Linear Equations in Two Variables
21,26
7
7
Linear in Equations
27,39
8
TOTAL NUMBER OF QUESTIONS
24
84
MARKS SCORED
SUBJECT : MENTAL ABILITY S.NO.
TOPIC
Q. NO.
TOTAL MARKS
1
Counting of Figures
49
4
2
Dice
50
4
3
Syllogism
51
4
4
Blood Relation
52
4
5
Ranking and Ordering
53
4
6
Clock
54
4
7
Calender
55
4
8
Direction Sense
56
4
9
Mathematical Operation
57
4
10
Number Series
58
4
11
Alphabet Series
59
4
12
Missing Terms in Figures
60
4
TOTAL NUMBER OF QUESTIONS
12
48
MARKS SCORED
