CEEP-2012

CEEP-2012 QUESTION PAPER <5693>

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CEEP-2012 Hall ticket number signature of candidate

Time: 2hours Total marks: 120

SECTION – I (MATHEMATICS) 1) 푝 ↔ 푞 =

1. (푝 → 푞)˅(푞 → 푝) 2. (푞 → 푝)˄(푝 → 푞) 3. 푝˅푞 4. 푝˄푞

2) {푥: 푥 ∈ 퐴∆퐵} = 1. {푥: 푥 ∈ 퐴 − 퐵} 2. {푥: 푥 ∈ 퐵 − 퐴} 3. {푥: 푥 ∈ 퐴 ∪ 퐵,푥 ∉ 퐴 ∩ 퐵} 4. None

3) If 푓(푥) = 푥√2−√

then √2 =

1. 푓(√3 + 1)

2. 푓(√ )

3. 푓(√3− 1)

4. 푓(√ )


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4) If 푛(퐴) = 5, 푛(퐵) = 2 then the number of mappings from A to B is:

1. 25 2. 10 3. 32 4. None

5) A root of the polynomial 푥 + (−1) is 1. 1 2. 0 3. -1 4. None

6) If 훼,훽 are the roots of 푥 − 3푥 − 1 = 0 then + =

1. 3 2. 1/3 3. -3 4. -1/3

7) A non-convex region among the following is


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8) lim → ( ) =

1. +2012(2011) 2. −2011(2011) 3. −2012(2011) 4. +2012(2011)

9) √

+√

=

1. √ √

2. √ √

3. √ √

4. √ √

10) 훼 − 3훽,훼 − 훽,훼 + 훽,훼 + 3훽 are four numbers forming 1. An A.P. with common ratio 2훽 2. A G.P. with common difference 2훽 3. An A.P. with common difference 2훽 4. A G.P. with common ratio 2훽

11) The series √ √

,√ √

,√ √

, …. forms an A.P. The

common difference is 1. √2 2. 2√2 3. −2√2 4. None

12) 푓(푥) =

⟹ 푓(푥) + 푓 − 푥 = 1. 1 2. ½ 3. √3/2 4. 1/√3


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13) 푠푖푛휃 = 퐾 ⟹( )

=

1.

2.

3. ( )( )

4. None 14) 푠푖푛 32° + 푠푖푛 58° =

1. 푠푖푛 58° + 푐표푠 42° 2. 푐표푠 58° + 푠푖푛 32° 3. 푐표푠 58° + 푐표푠 32° 4. None

15) 푠푒푐 27°− 푐표푡 63° = 1. 3 2. 0 3. 1 4. None

16) 푐표푠푒푐 42°− 푡푎푛 48° = 1. -1 2. √3 3. 1 4. None

17) 푠푖푛 33°− 푠푒푐 47° = 1. 푐표푠 57°− 푐표푠푒푐 43° 2. 푐표푠푒푐 43°− 푠푖푛 57° 3. 푠푖푛 57°− 푠푒푐 43° 4. None


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18) 푡푎푛 52° + 푠푖푛 9° = 1. 푠푒푐 52° + 푐표푠 9°− 2 2. 푠푒푐 52°− 푐표푠 9° + 1 3. 푠푒푐 52°− 푐표푠 9° 4. None

19) 푐표푠푒푐 10°− 푠푖푛 40° = 1. 푡푎푛 10° + 푠푒푐 40° 2. 푐표푡 10° + 푐표푠 40° 3. 푡푎푛 10° − 푠푒푐 40° 4. None

20) 푠푖푛 =

1. 푐표푠 50° + 푐표푠 40° 2. 푐표푠 40°− 푠푖푛 50° 3. 푠푖푛 40° + 푡푎푛 50° 4. None

21) 푐표푠 =

1. 푐표푠 40° + 푠푖푛 40° 2. 푐표푠 40°− 푐표푠 50° 3. 푐표푠 40°− 푠푖푛 50° 4. None

22) (푥 + 1) + (푦 + 2) = 25 ⟹ 1. 푥 = 25푐표푠휃 − 1, 푦 = 25푠푖푛휃 − 2 2. 푥 = 5푐표푠휃 + 1, 푦 = 5푠푖푛휃 + 2 3. 푥 = 5푐표푠휃 − 1, 푦 = 5푠푖푛휃 − 2 4. None


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23) (푥 − 3)(푦 − 4) = 49 ⟹ 1. 푥 = 3푐표푠휃 + 7, 푦 = 4푠푒푐휃 + 7 2. 푥 = 7푐표푠휃 + 3, 푦 = 7푠푒푐휃 + 4 3. 푥 = 3푐표푠휃 − 7, 푦 = 4푠푒푐휃 − 7 4. 푥 = 7푐표푠휃 − 3, 푦 = 7푠푒푐휃 − 4

24) (푥 + 1)(푦 + 3) = 25 ⟹ 1. 푥 = 푠푖푛휃 + 5, 푦 = 푐표푠푒푐휃 + 5 2. 푥 = 5푠푖푛휃 − 1, 푦 = 5푐표푠푒푐휃 − 3 3. 푥 = 푠푖푛휃 − 5, 푦 = 푐표푠푒푐휃 − 5 4. 푥 = 5푠푖푛휃 + 1, 푦 = 5푐표푠푒푐휃 + 3

25) (푥 − 2) − (푦 − 3) = 16 ⟹ 1. 푥 = 2푠푒푐휃 + 4,푦 = 2푡푎푛휃 + 4 2. 푥 = 4푠푒푐휃 + 2,푦 = 4푡푎푛휃 + 3 3. 푥 = 2푠푒푐휃 − 4,푦 = 2푡푎푛휃 − 4 4. 푥 = 4푠푒푐휃 − 2,푦 = 4푡푎푛휃 − 3

26) 1 + 푠푖푛휃 + 푠푖푛 휃 + 푠푖푛 휃 + ⋯+ ⋯∞ = 1. 푠푒푐 휃 + 푠푒푐휃푡푎푛휃 2. 푠푒푐 휃 − 푠푒푐휃푡푎푛휃 3. 푐표푠푒푐 휃 + 푐표푠푒푐휃푐표푡휃 4. 푐표푠푒푐 휃 − 푐표푠푒푐휃푐표푡휃

27) 1 + 푐표푠휃 + 푐표푠 휃 + 푐표푠 휃 +⋯푡표∞ =

1.

2.

3.

4.


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28) Point of intersection of the line 푥 + 푦 = 2012; 푥 − 푦 = 1 is 1. (2012,1) 2. (1,2012) 3. (2012,2011) 4. None

29) Slope intercept form of the line + = 1 is

1. 푦 = − 푥 − 푏

2. 푦 = − 푥 + 푏

3. 푦 = − 푥 + 푎

4. 푦 = − 푥 − 푎 30) The line 푦 = 푥 + 1 passes through the points

1. (2011,2012),(2012,2013) 2. (2009,2011),(2013,2015) 3. (2012,2011),(2011,2013) 4. None

31) Slope of the line + + 2012 = 0 1. 4/9 2. -4/9 3. 9/4 4. -9/4

32) Area of the triangle formed by the points (-194,-167), (4,31), (83,110) is

1. 411 sq. units 2. 413 sq. units 3. 417 sq. units 4. None


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33) If + = 1 then line + = passes through

1. ( , )

2. (( )

,( )

)

3. ( , ) 4. (4,4)

34) General form of the line 푦 = 2푥 + 3 is 1. 푦 = 2푥 − 3 2. 푦 = 3푥 − 2 3. 2푥 − 푦 + 3 = 0 4. None

35) Intercepts made by the line 푦 = 5푥 − 1 on the coordinate axes are

1. 1/5,1 2. -1/5,1 3. 1/5,-1 4. -1/5,1/5

36) Area of the triangle formed by the line + = 1 with the coordinate axes is

1. 28 sq. units 2. 14 sq. units 3. 56 sq. units 4. None

37) Among the following, two parallel lines are 1. 2푥 + 2푦 + 13 = 0, 푥 + 2푦 + 11 = 0 2. 3푥 + 3푦 + 11 = 0, 푥 + 푦 + 11 = 0 3. 3푥 − 2푦 + 1 = 0, 4푥 − 3푦 + 2 = 0 4. None


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38) Equation of the altitude through (8,2) of the triangle formed by the points (8,2),(4,6),(-1,5) is

1. 푥 − 5푦 − 42 = 0 2. 푥 + 5푦 + 42 = 0 3. 5푥 + 푦 − 42 = 0 4. 5푥 + 푦 + 42 = 0

39) The points A(3, 4), B(2,-1), C(-4, 3) form a triangle. If D and E are the midpoints of AB and AC respectively, then the slope of the line DE is

1. 2/3 2. -2/3 3. 3/2 4. -3/2

40) Median of the numbers , , , , is 1. 1/6 2. ¼ 3. 1/3 4. None

41) The reciprocal of the arithmetic mean of the reciprocals of the numbers 3 and 5 is

1. 4 2. ¼ 3. 15/4 4. 4/15

42) The sum of 30 observations is 540. Then, their mean is 1. 54 2. 81 3. 18 4. None


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43) In a data, an observation with the highest frequency is called 1. Mean 2. Median 3. Mode 4. None

44) Empirical relationship between mean, median and mode is 1. 푀표푑푒 + 푀푒푑푖푎푛 = 4푀푒푑푖푎푛 − 3푀푒푎푛 2. 푀표푑푒 −푀푒푑푖푎푛 = 2(푀푒푑푖푎푛 − 푀푒푎푛) 3. 푀표푑푒 −푀푒푑푖푎푛 = 2(푀푒푑푖푎푛 + 푀푒푎푛) 4. None

45) 퐴 = 1 22 1 ⟹ 퐴 =

1. 1 44 1

2. 4 11 4

3. 4 41 1

4. None 46) Which of the following products is commutative?

1. −3 411 0

2 10 9

2. 4 −73 5

7 29 8

3. 0 11 0

1 00 1

4. None

47) If 퐴 = 푥 11 푥 and det(퐴) = 8 then 푥 =

1. ±3 2. ±4 3. ±2 4. None


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48) The product of the matrices A, B and C is associative means 1. AB=AC 2. A(BC)=(AB)C 3. A+(B+C)=(A+B)+C 4. None

49) Calculate the mean for the following data: Class Interval 0-50 50-100 100-150 150-200 200-250 250-300 Frequency 8 15 32 26 12 7

1. 145 2. 245 3. 143 4. 144

50) For the data 99,100,101,102,103,104,105,106,107, the value of the mode is

1. 103.25 2. 102.99 3. 104.3 4. Does not exist

51) The formula to find arithmetic mean 푥̅ using the deviation method is

1. 퐴 + [∑ 푓 푢 ]

2. [∑ 푓 푢 ] × 퐶

3. 퐴 + [∑ 푓 푢 ] × 퐶 4. None


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52) ∆퐴퐵퐶~∆푃푄푅. If AB=3.6, PQ=2.4, PR=5.4, AC =? 1. 3.6 2. 8.1 3. 5.4 4. 6.8

53) In the adjacent figure, ∠퐴 = 60° and AB, AC are tangents.

Then OB =? 1. 6√3푐푚 2. 6푐푚 3. 6/√3푐푚 4. 6√2푐푚

54) In the figure, ∠퐵 is obtuse, then 퐴퐶 =

1. 퐴퐵 + 퐵퐶 − 퐵퐷 2. 퐴퐵 + 퐵퐶 3. 퐴퐵 + 퐵퐶 + 2퐵퐶.퐷퐵 4. 퐴퐵 + 퐵퐶 − 2퐵퐶.퐷퐵


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55) ABCD is a trapezium with퐴퐵 ∥ 퐷퐶. If AC and BD intersect at E and ∆AED and ∆BEC are similar, then

1. 퐴퐷 = 퐴퐵 2. 퐴퐷 = 퐵퐶 3. 퐴퐷 = 퐷퐵 4. 퐴퐷 = 퐴퐶

56) If 퐴퐵:푌푍 = 퐵퐶:푋푌 = 퐴퐶:푋푍 then ∆ABC is similar to 1. ∆XYZ 2. ∆ZYX 3. ∆ZXY 4. ∆ACB

57) A triangle and a parallelogram each have the same base of 8 cm and area of 40 sq. cm, then their heights are

1. 8,4 2. 10,5 3. 40,20 4. 6,4

58) ABC is an isosceles right angled triangle, ∠퐶 = 90° then 퐴퐵 =

1. 퐴퐶 2. 2퐴퐶 3. 퐵퐶 4. 3퐴퐶

59) Computer science is also called as 1. Informatics 2. Physics 3. Chemistry 4. General studies


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60) Meaning of an algorithm 1. Method of solving a problem 2. Table 3. Figure 4. Lines

SECTION-II (PHYSICS)

61) In a screw gauge, if the zeroth division of the head scale is above the index line, then the correction is

1. Negative 2. Positive 3. May be positive or negative 4. No need of correction

62) Heliocentric theory was first proposed by 1. Galileo 2. Kepler 3. Ptolemy 4. Copernicus

63) A body moves from one corner of an equilateral triangle of side 10 cm to the same corner. Then the distance moved and displacement are respectively

1. 30 cm, 20 cm 2. 30 cm, 0 cm 3. 0 cm, 30 cm 4. 30 cm, 30 cm


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64) Two balls are falling from the heights with a ratio of 9:64 towards the earth. Find the ratio of their velocities on reaching surface of the earth.

1. 3:4 2. 4:3 3. 8:3 4. 3:8

65) On a planet a stone projected vertically upwards with a velocity of 10 m/sec reaches the highest point after 2 seconds. If it is thrown with a velocity of 20 m/sec, it reaches the highest point after a time of

1. 1 sec 2. 2 sec 3. 4 sec 4. 6 sec

66) A car moves from A to B with a constant speed of 20 kmph and then from B to A with a constant speed of 30 kmph, then the average speed of car is

1. 24 kmph 2. 25 kmph 3. 10 kmph 4. Zero

67) The ratio of angular speeds of minutes hand and hour hand of a watch is

1. 1:12 2. 6:1 3. 12:1 4. 1:6


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68) If a body of mass 5 kg revolves in a horizontal circle of radius 1 m with a frequency of 7 revolutions/second, the centripetal force acting on the body is

1. 440 N 2. 484 N 3. 968 N 4. 9680 N

69) The time period of oscillation of simple pendulum is doubled when

1. Its length is doubled 2. The mass of the bob is doubled 3. Its length is made four times 4. The mass of the bob and the length of the pendulum are

doubled 70) A curved road of 50m radius is banked at certain angle for a

given speed. If the speed is to be doubled keeping the same banking angle, the radius of curvature of the road is to be changed to

1. 25 m 2. 100 m 3. 150 m 4. 200 m

71) The one that is not an example for electromagnetic wave is 1. X-rays 2. γ-rays 3. Radio waves 4. Sound waves


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72) Velocity of sound is measured in hydrogen and oxygen gases at a given temperature. The ratio of two velocities 푉 /푉 will be

1. 1:4 2. 4:1 3. 1:1 4. 32:1

73) In a stationary wave the distance between an antinode and an alternate antinode is

1. λ 2. λ/2 3. λ/4 4. 3λ/4

74) The velocity of sound in air is 360 m/sec while that in water I 1440 m/sec. If the wavelength of sound in air is 2 cm that in water is

1. 0.5 cm 2. 2 cm 3. 8 cm 4. 16 cm

75) The frequency range of microwaves is 1. 10 퐻푧푡표10 퐻푧 2. 10 퐻푧푡표10 퐻푧 3. 10 퐻푧푡표10 퐻푧 4. 10 퐻푧푡표10 퐻푧

76) Velocity of light in glass is2 × 10 푚/푠푒푐. The refractive index of glass is

1. 2/3 2. 3/2 3. 4/9 4. 9/4


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77) According to Huygens theory, light travels in the form of 1. Waves 2. Corpuscles 3. Sometimes waves and sometimes corpuscles 4. Electromagnetic waves

78) To get interference phenomenon, the distance between the two sources must be

1. Less to the extent possible 2. More 3. Less or more 4. Phenomenon does not depend on the distance

79) The repulsive force between two magnetic poles is 20 dynes when they are placed 20 cm apart. If the distance between them is decreased from 20 cm to 5 cm, the force of repulsion between them is

1. 80 dynes 2. 320 dynes 3. 160 dynes 4. 40 dynes

80) Even after the removal of the applied magnetic field, a magnetic material retains certain amount of intensity of magnetization. This property is called

1. Susceptibility 2. Magnetic Induction 3. Retentivity 4. Permeability


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81) Which one of the following groups belongs to ferromagnetics?

1. Water, Brass, Gold 2. Alcohol, Oxygen, Platinum 3. Iron, Cobalt, Nickel 4. Gadolinium, Aluminium, Chromium

82) The units of magnetic flux density 1. Weber/metre 2. Weber/metre2 3. Weber-metre 4. Weber-metre2

83) Among the following wires made of the same material, which wire will have highest resistance?

1. 푙 = 1푚,퐴 = 1푚푚 2. 푙 = 1푚,퐴 = 2푚푚 3. 푙 = 2푚,퐴 = 1푚푚 4. 푙 = 2푚,퐴 = 2푚푚

84) Ten identical resistances, each having a resistance of 1Ω are joined in parallel. The combination has the resultant resistance of

1. 10Ω 2. 1Ω 3. 0.01Ω 4. 0.1Ω

85) Gram/Coulomb is a unit for 1. Potential difference 2. Specific resistance 3. Electromagnetic force (emf) 4. Electrochemical Equivalent (e.c.e)


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86) The work done in passing a current of 4A for 2 seconds through a conductor having a potential difference of 8V is

1. 4 Joules 2. 16 Joules 3. 64 Joules 4. 1 Joule

87) A step-up transformer is used on a 120-volt line to provide a potential difference of 2400 Volts at 2 Ampere current. If the primary has 100 turns, the number of turns in secondary are

1. 2000 2. 200 3. 400 4. 1000

88) An instrument used to measure Isotopic masses is known as 1. Calorimeter 2. Spectrometer 3. Mass spectrograph 4. Spherometer

89) The isotope of carbon used in carbon dating of finding the age of fossils is

1. C-14 2. C-12 3. C-13 4. C-15

90) Among the following, choose the incorrect statement. 1. A p-n junction diode conducts in forward bias. 2. A p-n junction diode offers less resistance under reverse bias. 3. A p-n junction diode does not conduct under reverse bias. 4. A p-n junction diode is used as an electric switch.


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SECTION-III (CHEMISTRY)

91) The atom of the element which shows half-filled d-orbitals 1. Vanadium 2. Zinc 3. Chromium 4. Copper

92) The symbol of the element with the outer electronic configuration of 4s1, placed in S-block is

1. Na 2. Sc 3. K 4. Rb

93) The element, which shows three unpaired electrons in it atom, in ground state is

1. B 2. Be 3. F 4. N

94) Mention the total number of electrons present in the p-orbital of the atom, having atomic number 15

1. 3 2. 9 3. 2 4. 5

95) The bonds present in 푁퐻 ion are 1. One ionic bond, three covalent bonds 2. One covalent bond, three coordinate bonds 3. One ionic bond, three coordinate bonds 4. Three covalent bonds, one coordinate bond


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96) One of the following phenomenon takes place in the formation of NaCl molecule

1. Na atom acts as oxidizing agent 2. Cl atom acts as oxidizing agent 3. Cl atom acts a reducing agent 4. They undergo neither oxidation nor reduction

97) If the positive ion configuration is 1s22s22p6 and the negative ion configuration is 1s22s22p6 in an ionic compound, then what is the molecular formula of the compound?

1. KF 2. NaCl 3. NaF 4. KCl

98) The period which contains s, p, d block elements 1. 2nd period 2. 3rd period 3. 4th period 4. 1st period

99) Ionization energy of nitrogen is higher than ionization energy of oxygen. This is due to

1. Decrease in the atomic radius 2. Increase in the atomic radius 3. Stable electron configuration 4. Completely filled orbital

100) Which of the following pair of atomic number indicate the elements of the ‘S’ block?

1. 11,13 2. 10,12 3. 11,12 4. 8,9


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101) Atoms with small size have 1. High ionization energy 2. Great tendency to loose electrons 3. More electropositive 4. Less electron affinity values

102) Alkaline earth metals are highly reactive. Because they are 1. Electro negative in nature 2. Electro positive in nature 3. Atomic radius increases 4. Non-metallic nature

103) Magnesium oxide is 1. Acidic 2. Basic 3. Neutral 4. Amphoteric

104) The element which gives dazzling light when burnt in air 1. Be 2. Ca 3. Sr 4. Mg

105) If 500 ml of 0.5 M HCl solution is changed to 0.1 M strength, find out the volume of water to be added.

1. 2500 ml 2. 1000 ml 3. 2000 ml 4. 1500 ml


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106) How many number of moles are present in 3.2 grams of NaOH? (Mol. wt. =40)

1. 0.08 2. 0.008 3. 0.8 4. 12.5

107) Find out the volume of 0.05 M HCl required, in ml, in order to neutralize 0.2 M NaOH of 40 ml.

1. 160 2. 80 3. 45 4. 120

108) Mention the compound among the following whose acidic property cannot be explained by Arrhenius theory.

1. CH3COOH 2. CO2 3. HCl 4. HNO3

109) If the pH of a given solution is 9, find the concentration of [H+] ions in it.

1. 10-5 2. 10-9 3. 10-1 4. 10-14

110) If the pH of a solution is zero, what will be its nature? 1. Acidic 2. Basic 3. Neutral 4. Amphoteric


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111) Functional group in alcohols

112) Alkenes are more reactive than alkanes. This is due to

1. Double bond 2. Triple bond 3. Single bond 4. Valence of carbon is satisfied

113) Unsaturated hydrocarbon among the following 1. Propane 2. Butane 3. Ethene 4. Ethane

114) Carbon compounds which react with Tollen’s reagent 1. Alcohol 2. Aldehyde 3. Alkane 4. Alkene

115) The type of coal which gives large amounts of heat 1. Lignite 2. Bituminous coal 3. Anthracite coal 4. Coke


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116) Polysaccharide among the following 1. Fructose 2. Glucose 3. Sucrose 4. Starch

117) The process of obtaining alcohol from molasses is called as 1. Dehydration 2. Defecation 3. Carbonation 4. Fermentation

118) The compounds which contain Zwitter ion structure 1. Amino compounds 2. Acids 3. Amino acids 4. Ethers

119) The following catalyst is used in the hydrogenation of oils 1. Mn 2. Fe 3. Ni 4. Co

120) Glass is a mixture of 1. Na2CO3, CaSiO3 2. CaCO3, Al2(SO4)3 3. Na2SiO3, CaSiO3 4. BaSO3, CaCO3


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*There is no correct option. The question must be If + ퟏퟔ

풃 ퟏퟏ= 1 then line + = passes through….

Then (4,4) is the correct option.

1 2 3 4 5 6 7 8 9 0 1-10 2 3 2 3 3 3 3 3 1 3 11-20 3 1 3 3 3 3 1 3 2 1 21-30 3 3 2 2 2 1 1 4 2 1 31-40 2 4 * 3 3 2 2 3 2 2 41-50 3 3 3 2 4 3 1 2 1 4 51-60 3 2 2 3 2 2 2 2 1 1 61-70 1 4 2 4 3 1 3 4 3 4 71-80 4 2 1 3 1 2 1 1 2 3 81-90 3 2 3 4 4 3 1 3 1 2 91-100 3 3 4 2 4 2 3 3 3 3 101-110 1 2 2 4 3 1 1 2 2 1 111-120 4 1 3 2 3 4 4 3 3 3

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CEEP-2012