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BTSE SAMPLE PAPER CLASS – XI

ALL SUBJECTS

BTSE SAMPLE PAPER | Class – XI

Page | 1

SECTION - A: PHYSICS

Q1. The frequency of electricity produced by DC generator is equal to

(a) 0 Hz

(b) 50 Hz

(c) 100 Hz

(d) 200 Hz

Q2. A fuse should always be placed in the

(a) Live wire of the main circuit

(b) Neutral wire of the main circuit

(c) Earth wire of the main circuit

(d) Bothe live and neutral wire of the main circuit.

Q3. The least resistance obtained by using 2 Ω, 4 Ω, 1 Ω and 100 Ω is

(a) < 100 Ω

(b) < 4 Ω

(c) < 1 Ω

(d) > 2 Ω

Q4. Two resistors are connected in series gives an equivalent resistance of 10 Ω. When

connected in parallel, gives 2.4 Ω. Then the individual resistance is

(a) each of 5 Ω

(b) 6 Ω and 4 Ω

(c) 7 Ω and 4 Ω

(d) 8 Ω and 2 Ω

Q5. In which of the following examples of motion, can the body be considered

approximately a point object:

(a) a railway carriage moving without jerks between two stations.

(b) a monkey sitting on top of a man cycling smoothly on a circular track.

(c) a spinning cricket ball that turns sharply on hitting the ground.

(d) a tumbling beaker that has slipped off the edge of a table.


Page | 2

Q6. A particle moves in a straight line according to the relation

𝒙 = 𝒕𝟑 − 𝟒𝒕𝟐 + 𝟑𝒕

Find the acceleration of the particle at displacement equal to zero.

(a) (-8,-2,10)

(b) (-1,-2,10)

(c) (8,2,10)

(d) (1,2,10)

Q7. A boat moves with the stream of water from point A and B and it return back with

the same speed. Velocity of boat relative to water is η times the velocity of the water.

Velocity of the water is 1m/sec. Find out the average speed in the whole iternary

Q8. A block of mass 10 kg is sliding downwards on a inclined plane of angle 30° with

horizontal. The coefficient of kinetic friction between the block and surface is 0.5.

Find the acceleration of the block (take g=9.8 m/s2)

(a) .571 m/s2

b. .511 m/s2

c. .657 m/s2

d. .651 m/s2

Q9. The coefficient of friction between the two-contact plane is root 3, what is the angle

of friction between those two planes?

(a) 30°

b. 60°

c. 15 °

d. 45°


Page | 3

Q10. A block of mass 2 kg is placed on a plane surface. The coefficient of static friction is

.4. When a 2.8 N force is applied on the block parallel to the surface, the force of

friction between the block and surface is

(a) 2.8 N

(b) 7.84 N

(c) 0

(d) 9 N

Q11. The mass of a body which is equal to the ratio of the force acting on a body to the

acceleration produced in the body is

(a) the gravitational mass

(b) the electromagnetic mass

(c) the internal mass

(d) the inertial mass

Q12. The temperatures of inside and outside of a refrigerator are 273 K and 303 K

respectively. Assuming, that the refrigerator cycle is reversible, for every joule of

work done, the heat delivered to the surrounding will be nearly:

(a) 10 J

(b) 20 J

(c) 30 J

(d) 50 J

Q13. Which of the following is incorrect regarding the first law of thermodynamics?

i. It is not applicable to any cyclic process

ii. It is a restatement of the principle of conservation of energy

iii. It introduces the concept of the internal energy

iv. It introduces the concept of the entropy

(a) A and D

(b) B and C

(c) C and A

(d) A and B


Page | 4

Q14. At a given volume and temperature, the pressure of a gas

(a) varies inversely as its mass

(b) varies inversely as the square of its mass

(c) varies linearly as its mass

(d) is independent of its mass

Q15. In a thermodynamic process, pressure of a fixed mass of the gas is changed in such a

manner that the gas molecules give out 30 J of heat. Also, 10 J of work is done on the

gas. If the internal energy of the gas was 40 J, what will be the final internal energy?

(a) 20 J

(b) -20 J

(c) 80 J

(d) zero

Q16. A Carnots engine works as a refrigerator between 250 K and 300 K. If it receives 750

calories of heat from the reservoir at the lower temperature, the amount of heat

rejected at the higher temperature is

(a) 900 cal

(b) 625 cal

(c) 750 cal

(d) 1000 cal

Q17. The greatest possible acceleration or deceleration a train may have is a and its

maximum speed is v. Find the maximum time in which the train can get from one

station to the next if the total distance is s


Page | 5

Q18. A body moves along a semi-circular track of Radius R. Which of the following

statement is true?

(a) Displacement of the body is 2R

(b) Distance travelled by the body is 2πR

(c) Displacement of the body is πRπR

(d) none of the above

Q19. A thermodynamical system is changed from state (P1, V1) to (P², V²) by two different

processes, the quantity which will remain same is:

(a) ΔQ

(b) ΔW

(c) ΔQ + ΔW

(d) ΔQ – ΔW

Q20. In a circus, a motor cyclist goes round a circular track of radius r in a vertical plane.

At the highest point on his track, the minimum velocity is

(a) √2gr

(b) √gr

(c) √3gr

(d) 2√2gr


Page | 6

SECTION - B: CHEMISTRY

Q21. The mass of 12.044×1023 carbon atoms.

(a) 12 g

(b) 36 g

(c) 24 g

(d) 48 g

Q22. What will be the molarity of a solution, which contains 5.85 g of NaCl(s) per 500 mL?

(a) 4 mol/L

(b) 20 mol/L

(c) 0.2 mol/L

(d) 2 mol/L

Q23. The magnetic quantum number specifies

(a) Size of orbitals

(b) Shape of orbitals

(c) Orientation of orbitals

(d) Nuclear Stability

Q24. A body of mass 10 mg is moving with a velocity of 100 ms-1. The wavelength of de-

Broglie wave associated with it would be (Note: h = 6.63 × 10-34 Js)

(a) 6.63 × 10-37 m

(b) 6.63 × 10-31 m

(c) 6.63 × 10-34 m

(d) 6.63 × 10-35 m

Q25. The element with atomic number 35 belongs to

(a) d – Block

(b) f – Block

(c) p – Block

(d) s – Block


Page | 7

Q26. The correct order of first ionization potential among following elements, Be, B, C, N

and O is

(a) B < Be < C < O < N

(b) B < Be < C < N < O

(c) Be < B < C < N < O

(d) Be < B < C < O < N

Q27. The hybrid state of sulphur in SO2 molecule is:

(a) sp²

(b) sp³

(c) sp

(d) sp³d

Q28. The structure of IF7 is

(a) Pentagonal bipyramid

(b) Square pyramid

(c) Trigonal bipyramid

(d) Octahedral

Q29. The oxidation number of Cl in Cl2O7 is

(a) + 7

(b) + 5

(c) + 3

(d) – 7

Q30. The tendency of an electrode to lose electrons is known as

(a) Electrode Potential

(b) Reduction Potential

(c) Oxidation Potential

(d) E.M.F.


Page | 8

Q31. The oxidation number of Mn is maximum in

(a) MnO2

(b) K2MnO4

(c) Mn3O4

(d) KMnO4.

Q32. Which of the following hydrides are generally nonstochiometric in nature?

(a) Ionic Hydrides

(b) Molecular Hydrides

(c) Interstitial Hydrides

(d) All of the Above.

Q33. Water gas is mixture of hydrogen H2 and

(a) CO

(b) CO2

(c) Cl2

(d) SO2

Q34. What is false about H2O2?

(a) acts as both oxidising & reducing agent.

(b) two OH bonds lie in the same plane

(c) pale blue liquid.

(d) can be oxidised by O3

Q35. Inductive effect involves

(a) displacement of σ electrons

(b) delocalization of π electrons

(c) delocalization of σ-electrons

(d) displacement of π-electrons


Page | 9

Q36. The I.U.P.A.C. name of

(a) 3-Methyl cyclohexene

(b) 1-methyl cylohex-2-ene

(c) 6-methyl cyclohexene

(d) 1-methyl cyclohex5-ene

Q37. Which of the following is an electrophile?

(a) H2O

(b) NH3

(c) AlCl3

(d) C2H5NH2

Q38.

(a) resonating structures

(b) Chain isomers

(c) Geometrical isomers

(d) Optical isomers

Q39. The ion iso-electronic with CO is

(a) O–2

(b) N+2

(c) CN–

(d) O+2


Page | 10

Q40. The energy of electron in the first Bohr orbit of H atom is 13.6 eV. The possible energy

value (s) of the excited state(s) for electron in Bohr orbitals of hydrogen is (are)

(a) – 3.4 eV

(b) -4.2eV

(c) – 6.8

(d) + 6.8 eV


Page | 11

SECTION - C: BIOLOGY

Q41. Euglena contains chlorophyll, yet it resembles animals, because it:

(a) respires like animals

(b) reproduces like animals

(c) possesses a contractile vacuole

(d) feeds like animals in absence of sunlight

Q42. ‘Red tides’ in warm coastal water develop due to super abundance of:

(a) Dinoflagellates

(b) Euglenoid forms

(c) Diatoms and desmids

(d) Chlamydomonas nivalis

Q43. The cell wall of most fungi is made of: a) lignin

(b) suberin

(c) chitin

(d) pectin

Q44. Aerobic respiration is performed by

(a) Glyoxisomes

(b) mitochondria

(c) lysosomes

(d) Chloroplast

Q45. Which of the following organelles in the cell is referred to as the suicidal bags or

disposal units?

(a) Lysosomes

(b) Peroxisomes

(c) Glyoxisomes

(d) None of these


Page | 12

Q46. Cell theory was proposed by:

(a) Robert Hooke

(b) Beadle and Tatum

(c) Schleiden and Schwann

(d) Hargovind Khorana

Q47. The animal cell which does not possess nucleus is:

(a) egg of hen

(b) white blood cell

(c) red blood cell

(d) nerve cell

Q48. Which type of root is found in Mitrabilis jalapa :

(a) Respiratory

(b) Tuberous

(c) Reproductive

(d) Fasciculated

Q49. Young fleshy inflorescence is edible in:

(a) Cauliflower

(b) Bombax

(c) Aconitum

(d) Trapa

Q50. Which of the following statements is false about viruses-

(a) Viruses are obligate parasites

(b) Viruses can multiply only when they are inside the living cells

(c) Viruses cannot pass bacterial proof filters

(d) Viruses are made up of protein+ DNA or RNA (nerver both DNA and RNA)


Page | 13

Q51. Sexual reproduction is found in all except -

(a) Deuteromycetes

(b) Ascomycetes

(c) Phycomycetes

(d) Basidiomycetes

Q52. Which of the following ascomycetes is the source of antibiotic?

(a) Neurospora

(b) Penicillium

(c) Claviceps

(d) None

Q53. Some of the Cyanobacteria can fix atmospheric nitrogen in specialised cells called -

(a) Akinetes

(b) Heterocyst

(c) Homocyst

(d) Nodule

Q54. Which of the following areas or conditions would be favoured by thermoacidophiles?

(a) The stomach of many herbivores

(b) Hot, alkaline

(c) Hot, sulphurs springs

(d) Deep sea valconic

Q55. Cuscuta is an example of:

(a) Ectoparasitism

(b) Brood parasitism

(c) Predation

(d) Endoparasitism


Page | 14

Q56. The members of phaeophyceae or brown algae are found primarily in -

(a) Fresh water

(b) Marine habitat

(c) Terrestrial habitat

(d) On rock

Q57. Bryophytes are called "Amphibians of the plant kingdom" because -

(a) They are found in only water

(b) Plants live in soil but are dependent on water for sexual reproduction

(c) It needs water for spores formation

(d) Water is essential for its survival

Q58. Metamerism refers to -

(a) Mesoblastic development

(b) Occurrence of mesoderm

(c) Segmentation where external divisions correspond to internal divisions

(d) Metastasis

Q59. Water exits from sponges through the -

(a) (a) (a) Osculum

(b) Ostia

(c) Spicules

(d) Choanocytes

Q60. In Arthropods respiratory organs are -

(a) Gills

(c) Book lungs or Trachea

(b) Book Gills

(d) All


Page | 15

SECTION - D: MATHEMATICS

Q61. A Survey shows that 63% of the Americans like cheese whereas 76% like apples. If

x% of the Americans like both cheese and apples, then

(a) X=39

(b) X=63

(c) 39≤x≤63

(d) None of these

Q62. If (√8 +I )50 =3 49 (a +𝑖b) then a2 + b2 is

(a) 3

(b) 9

(c) 8

(d) 88

Q63. If 1, 𝜔, 𝜔2, 𝜔3………, 𝜔𝑛−1 are the n , nth roots of unity , then (1 − 𝜔)(1 −

𝜔2)……..(1 − 𝜔𝑛−1 ) equals

(a) (a) (a) 0

(b) (b) (b) 1

(c) (𝑐) (𝑐) 𝑛

(d) 𝑛2

Q64. The first term of a G.P whose second term is 2 and sum to to infinity is 8 , will be

(a) 6

(b) 3

(c) 4

(d) 1

Q65. If A=cos2 𝜃 + sin4 𝜃 , then for all values of 𝜃

(a) 1 ≤ A ≤ 2

(b) 13/16 ≤ A ≤ 1

(c) 3/4 ≤ A ≤ 13/16

(d) 3/4 ≤ A ≤ 1


Page | 16

Q66. If cos6𝜃+cos4𝜃+cos2𝜃+1 = 0 where 0<𝜃<1800, then 𝜃 =

(a) 300, 450

(b) 450, 900

(c) 1350, 1500

(d) 300, 450,900, 1350,1500

Q67. Which pair of points lie on the same side of 3x - 8y -7 =0

(a) (0,-1) and (0,0)

(b) (4,-3) and (0,1)

(c) (-3,-4) and (1,2)

(d) (-1,1) and (3,7)

Q68. The mean weight per student in a group of seven students is 55 kg If the individual

weight of 6 students are 52, 58,55,53,56 and 54; then weights of the seventh student is

…. Kg

(a) 55

(b) 60

(c) 57

(d) 50

Q69. Mean of 100 observations is 45. It was later found that two observation 19 and 31

were incorrectly recorded as 91 and 13 . The correct mean is….

(a) 44

(b) 44.46

(c) 45

(d) 45.54

Q70. Given that n A.M.’s are inserted between two sets of numbers a,2band 2a, where a, b

𝜖 R. Suppose further that mth mean between these sets of numbers is same , then the

ratio a:b equals

(a) n- m+1 :m

(b) n-m+1:n

(c) n:n-m+1

(d) n:n-m+1


Page | 17

Q71. The following data gives the distribution of height of students. The median of the

distribution is

Height (in cm) 160 150 152 161 156 154 155

Number of students 12 8 4 4 3 3 7

(a) 154

(b) 155

(c) 160

(d) 161

Q72. If the sum 3

12 +5

12+22 +7

12+22+32 + ⋯ … + up to 20 terms is equal to 𝑘

21 , then k is equal

to

(a) 120

(b) 180

(c) 240

(d) 60

Q73. If 𝑁𝑎 =[an:n 𝜖 N, then 𝑁5 ∩ 𝑁7 =

(a) 𝑁7

(b) 𝑁

(c) 𝑁35

(d) 𝑁5

Q74. Tan 200 +Tan 400 + √3 Tan 200 Tan 400 =

(a) 1

√3

(b) √3

(c) −1

√3

(d) −√3


Page | 18

Q75. Tan200 tan 400 tan 600 tan 800=

(a) 1

(b) 2

(c) 3

(d) √3/2

Q76. If o≤ 𝑥 ≤ 𝜋 and 81sin2x +81cos2x =30, then x=

(a) 𝜋/6

(b) 𝜋/2

(c) 𝜋/4

(d) 3𝜋/4

Q77. (𝒄𝒐𝒔𝜽 –𝒔𝒊𝒏𝜽)𝟒

(𝒔𝒊𝒏𝜽+𝒊 𝒄𝒐𝒔𝜽𝟓 =

(a) 𝑐𝑜𝑠𝜃 − 𝑖 𝑠𝑖𝑛𝜃

(b) Cos9𝜃 – 𝑖𝑠𝑖𝑛9𝜃

(c) 𝑠𝑖𝑛𝜃 − 𝑖𝑐𝑜𝑠𝜃

(d) 𝑠𝑖𝑛9𝜃 − 𝑖 𝑐𝑜𝑠9𝜃

Q78. X=1 +a+𝑎2+…….∞ (a<1) y=1+b+𝑏2……….∞ (b<1) Then the value of 1+ab

+a2b2+……∞ is

(a) 𝑥𝑦

𝑥+𝑦−1

(b) 𝑥𝑦

𝑥+𝑦+1

(c) 𝑥𝑦

𝑥−𝑦−1

(d) 𝑥𝑦

𝑥−𝑦+1


Page | 19

Q79. Equation of angles bisector between the lines 3x +4y -7=0 and 12x +5y+17 +0 are

(a) 3𝑥+4𝑦−7

√25= ±

12𝑥+5𝑦+17

√169

(b) 3𝑥+4𝑦+7

√25=

12𝑥+5𝑦+17

√169

(c) 3𝑥+4𝑦+7

√25= ±

12𝑥+5𝑦+17

√169

(d) None of these

Q80. A bag contains 3 black and 4 white balls. The balls are drawn one by one at random

without replacement. The probability that the second drawn ball is white, is

(a) 4

49

(b) 1

7

(c) 4

7

(d) 12

49


Page | 20

SECTION E: MENTAL ABILITY

Q81. In the following, a certain code is given. According to this code, “before West to

mailing” is written as “ad mi ja no”, “the West to Himalaya” is written as “ku ja ig

ad”. Also “mailing of the layout” is written as “be ku zo mi” and “to should of

changes” is written as “be Ii ya ja”, then, what is the code for “should”?

(a) be

(b) Ii

(c) ya

(d) ja

(e) Data insufficient

Q82. In a certain code language, “ISSUE” is written as “341145”, in the same code

language what will be the code for “DATES”?

(a) 4567

(b) 340045

(c) 4120519

(d) 7600

Q83. Pointing towards a man in the photograph, lady said "the father of his brother is the

only son of my mother". How is the man related to lady?

(a) Brother.

(b) Son

(c) Cousin.

(d) Nephew

Q84. A party consists of grandmother, father, mother, four sons and their wives and one

son and two daughters to each of the sons. How many females are there is all?

(a) 14

(b) 16

(c) 18

(d) 24


Page | 21

Q85. The time by watch is 15 minutes to 5'0 clock; find the angle between the hands of the

clock?

(a) 125.5

(b) 127.5

(c) 132.5

(d) 125

Q86. The calendar for the year 2007 will be the same for the year:

(a) 2014

(b) 2016

(c) 2017

(d) 2018

Q87. A clock gains 5 seconds for every 3 minutes. If the clock started working at 7 a.m. in

the morning, then what will be the time in the wrong clock at 4 p.m. on the same day?

(a) 4:15 pm.

(b) 3:45pm

(c) .4:05 pm.

(d) none of these

Q88. Peacock : India :: Bear : ?

(a) Australia

(b) America

(c) Russia

(d) England

Q89. Country : President :: State : ?

(a) Governor

(b) M.P

(c) Legislator

(d) Minister


Page | 22

Q90. One morning Udai and Vishal were talking to each other face to face at a crossing. If

Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?

(a) East

(b) West

(c) North

(d) South

Q91. A man walks 5 km toward south and then turns to the right. After walking 3 km he

turns to the left and walks 5 km. Now in which direction is he from the starting place?

(a) West

(b) South

(c) North-East

(d) South-West

Q92. In each of the following questions two statements are given and these statements are

followed by two conclusions numbered (1) and (2). You have to take the given two

statements to be true even if they seem to be at variance from commonly known facts.

Read the conclusions and then decide which of the given conclusions logically follows

from the two given statements, disregarding commonly known facts.

1. Statements: Some actors are singers. All the singers are dancers.

2. Conclusions: Some actors are dancers. No singer is actor.

(a) Only (1) conclusion follows

(b) Only (2) conclusion follows

(c) Neither (1) nor (2) follows

(d) Both (1) and (2) follows

Q93. Statements: All the actors are girls. All the girls are beautiful.

Conclusions: All the actors are beautiful. Some girls are actors.

(a) Only (1) conclusion follows

(b) Only (2) conclusion follows

(c) Neither (1) nor (2) follows

(d) Both (1) and (2) follow


Page | 23

Q94. Which of the following diagrams indicates the best relation between Women, Mothers

and Engineers?

Q95. How many persons can speak English and Hindi both the languages only?

(a) 1

(b) 8

(c) 2

(d) None

Q96. Choose the box that is similar to the box formed from the given sheet of paper (X).

(a) 1 only

(b) 2 only

(c) 1 and 3 only

(d) 1, 2, 3 and 4 only


Page | 24

Q97. Three different positions of a dice are shown below. How many dots lie opposite 2

dots?

(a) 1

(b) 3

(c) 5

(d) 6

Q98. Which number replace the question mark?

(a) 1

(b) 3

(c) 9

(d) 10


Page | 25

Q99. Which number replace the question mark?

(a) Q

(b) S

(c) T

(d) V

Q100. A, P, R, X, S and Z are sitting in a row. S and Z are in the centre. A and P are at the

ends. R is sitting to the left of A. Who is to the right of P?

(a) A

(b) X

(c) S

(d) Z


Page | 26

ANSWER KEY

1. a 2. a 3. c 4. b 5. a, b 6. a 7. a 8. c 9. b 10. a

11. d 12. c 13. a 14. c 15. a 16. a 17. b 18. a 19. d 20. b

21. c 22. c 23. c 24. b 25. c 26. a 27. a 28. a 29. a 30. c

31. d 32. c 33. a 34. b 35. a 36. a 37. c 38. a 39. c 40. a

41. d 42. a 43. c 44. b 45. a 46. c 47. c 48. b 49. a 50. c

51. a 52. b 53. b 54. c 55. a 56. b 57. b 58. c 59. a 60. d

61. c 62. c 63. c 64. c 65. d 66. d 67. d 68. c 69. b 70. d

71. b 72. a 73. c 74. b 75. c 76. a 77. d 78. a 79. a 80. c

81. e 82. d 83. d 84. a 85. b 86. d 87. a 88. c 89. a 90. c

91. d 92. a 93. d 94. a 95. d 96. b 97. c 98. c 99. c 100. b

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