Galgotias Engineering Entrance Examination (GEEE 2014) Sample Paper

Sample Paper-Physics

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Physics

1. If the vector product of two vectors Ԧ and ሬܳԦ is given by ሬܴԦ = PQ ො݊ , then what is the angle between the

two vectors? A) Ɵ = 90

o

B) Ɵ = 0o

C) Ɵ = 180o

D) Ɵ = 45o

2. A ball is released from the top of a building of height �H� m. It takes �T� seconds to reach ground. What

is the position of the ball at T/4 seconds?

A) ுଽ݉ from ground

B) ுଵ݉ from ground

C) ଼ுଽ ݉ from ground

D) ସுଷ ݉ from ground

3. A balloon is rising up with a velocity of 30m/s. A stone is dropped from it and it reaches the ground in

15 sec. What is the height of the balloon when the stone was dropped from it?

A) 640m

B) 645m

C) 652.5m

D) 650m

4. A body of mass 10 kg is moving with a uniform velocity of 100ms-1

. What is the force required to stop

the body in 10 seconds?

A) -100N

B) +95N

C) +100N

D) -105N

5. When a body moves in a circular path, no work is done by the force. Why?

A) Force is always acting away from the centre of the body.

B) There is no displacement for the body

C) There is no net force on the body

D) Force and displacement are perpendicular to each other.


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6. A bullet of mass 20g is fired with a velocity of 1200ms-1

. After passing through a mud wall of 2m thick,

its velocity decreases to 200ms-1

. What is the average resistance offered by the mud wall?

A) 7000N

B) -7100N

C) -7000N

D) 7100N

7. What is the value of escape velocity on a planet having radius 3 times that of earth and on which

acceleration due to gravity is three times that on earth?

A) 11.2 kms-1

B) 22.4 kms-1

C) 33.6 kms-1

D) 5.6 kms-1

8. A Carnot's engine absorbs 2000J of heat energy from the source at 500K and rejects 1500J of heat to

the sink during each cycle. What will be the efficiency of the engine?

A) 44.44%

B) 33.33%

C) 30%

D) 35%

9. A hot body and a cold body are kept in vacuum separated from each other. What is the reason for the

decrease in temperature of the hot body?

A) Radiation

B) Convection

C) Conduction

D) The temperature of both the bodies remains unchanged.

10. Two stars radiate maximum energy at wavelength 4.8 X 10-7

m and 7.2 X 10-7

m respectively. What is

the ratio of their temperatures?

A) ଷଶ

B) ଵଶ

C) ସଷ

D) ଷଶ


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11. When will the K.E of a particle executing S.H.M be maximum?

A) When its displacement is equal to Zero

B) When its displacement is equal to Amplitude/4

C) When its displacement is equal to Amplitude/2

D) When its displacement is equal to Amplitude

12. Two point charges +4µC and -4µC are located at points R and S, 20 cm apart in air. What will be the

magnitude and direction of the electric field at the midpoint P of the line joining the two charges?

A) 7.2 X 106 NC

-1 along PS

B) 7.2 X 106 NC

-1 along PR

C) 14.4 X 106 NC

-1 along PS

D) 14.4 X 106 NC

-1 along PR

13. The effective capacity of two capacitors C1 and C2 when in series is ଶଽ Ɋܨ and when in parallel

9µF.What is the value of individual capacitors?

A)

B)

C)

D)

14. If 2 resistors 4Ù and 8Ù are connected first in series and then in parallel. What is the ratio of their

effective resistances?

A) 9:8

B) 3:2

C) 5:3

D) 9:2

15. Consider a charged particle q moving in a magnetic field B with velocity v. When will the force

experienced by the charged particle be maximum?

A) When ݒԦ and ܤሬԦ are perpendicular to each other

B) When ݒԦ particle ܤሬԦ moves along field

C) When ݒԦ and ܤሬԦ are making an angle 60o

D) When ݒԦ and ܤሬԦ are making an angle 45o

FCFC 5,4 21

FCFC 5,3 21

FCFC 9,20 21

FCFC 3,4 21


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16. A 200Ù resistor a 50µF capacitor and 240 mH inductor are connected in series with a 220 v -50Hz ac

supply. What is the current in the circuit?

A) 1.5A

B) 0.98A

C) 1.06A

D) 1.2A

17. What is the velocity of the EM waves in a material medium of relative permeability µr and dielectric

constant K?

18. Two narrow slits are 0.16 mm apart when they are illuminated by a monochromatic light. Fringes of

width 2.7 mm are obtained on the screen 0.6 m away. What is the wavelength of the light used?

A) 5400Å

B) 5395Å

C) 5405Å

D) 5450Å

19. If an electron has K.E. equal to 100ev .What will be the De-Broglie wavelength of the electron?

A) 1.2Å

B) 1.23Å

C) 1.29Å

D) 1.198Å

20. If the K.E. of an electron doubles, by how much factor its De-Broglie wavelength change?

A)

B)

C) 2

D)


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21. An electron transits from 4th to the 2

nd orbit in hydrogen atom. What is the name of the region of the

special line produced?

A) Far infrared region

B) Visible region

C) Infrared region

D) Ultraviolet region

22. What type of gate produce a false (0) output when both of its inputs are true (1)?

A) NOR

B) NAND

C) OR

D) XOR

23. With fall in temperature, what happens to the forbidden energy gap of a semiconductor?

A) Increases

B) Decreases

C) Remains unchanged

D) Sometimes increases and sometimes decreases

24. The bandwidth of a signal is 6 KHz and the highest frequency is 54 KHz. What is the lowest frequency?

A) 9 KHz

B) 60 KHz

C) 48 KHz

D) 324 Hz

25. Ohm's law is valid when the temperature of the conductor is:

A) Very low

B) Very high

C) Varying

D) Constant

26. The magnitude of the force (F) acting on a current (I) carrying conductor of length L, placed in

magnetic field of strength B is given by

A) F= BIL cos è

B) F= BIL sin è

C) F = B L sinè

D) F = B L cos è


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27. What is the torque required to hold a small circular coil of 10 turns, area 1 mm2 and carrying a current

of (31/53) in the middle of a long solenoid of 104 turns/meter carrying a current of 3.5 A, with its axis

perpendicular to the axis of the solenoid ?

A) 2.57 x 10-7

Nm.

B) 3.57 x 10-7

Nm.

C) 2.57 x 10-5

Nm.

D) 3.57 x 10-5

Nm.

28. A person using a 90 kg roller on a level surface exerts a force of 253 N at 49o to the ground. What will

be the force exerted on the ground by the roller vertically?

A) 691 N

B) 890 N

C) 900 N

D) 592 N

29. A glass capillary tube of inner diameter 0.4 mm is lowered into the water vertically. What will be the

pressure to be applied on the water in the capillary tube so that water in the capillary tube is the same

that in the vessel (Considering: Surface tension (S) =0.05 Nm-2

. Atmosphere pressure =105 Nm

-2)

A) 120 x103 Nm

-2

B) 110.5 x103 Nm

-2

C) 105.5 x103 Nm

-2

D) 100.5 x103 Nm

-2

30. The work function of a material is 3.31 x10-19

J. The Kinetic energy of photoelectrons emitted by

incident radiations of wavelength 4500 Ao is:

A) 1.093x10-19

J

B) 1.071x10-19

J

C) 1.107x10-19

J

D) 1.135x10-19

J

Sample Paper-Chemistry

Page 1 of 5

Chemistry

1. pH of a substance is:

A) log [H+]

B)-log [H+]

C) log [H-]

D)-log [H-]

2. Which order has the identical unit of rate of reaction and rate constant?

A) Fractional Order Reaction

B) Zero Order Reaction

C) First Order Reaction

D) Second Order Reaction

3. Which of the following statement is correct?

A) (n-1)d subshell has lower energy than ns subshell

B) (n-1)d subshell has higher energy than ns subshell

C) (n+1)d subshell has lower energy than nf subshell

D) nf subshell has lesser energy than ns subshell

4. The specific conductance of an electrolyte is:

A) Increases with dilution

B) Decrease with dilution

C) Either may increase or decrease

D) No change

5. What happens to entropy in the evaporation of water?

A) It decreases

B) It increases

C) It does not change

D) Remains zero

6. Which is the correct option for sulphur solution?

A) Lyophilic Colloid

B) Lyophobic Colloid

C) Gel

D) Emulsion


Page 2 of 5

7. In the reduction of dichromate by Fe(II), the number of electrons involved per chromium atom is:

A) 3

B) 4

C) 2

D) 1

8. A real gas is expected to behave more or less ideally at:

A) Low temperature and low pressure

B) Low temperature and high pressure

C) High temperature and low pressure

D) High temperature and high pressure

9. Which of the following represents a multimolecular colloidal particles?

A) Sol of sulphur

B) Lipids

C) Carbohydrate

D) Proteins

10. Which one of the following molecule / ion shows regular tetrahedral structure?

A) SO2

B) �Ͷെ

C) XeF6

D) [Ni(CN)4]2-

11. Which of the following statements is correct for carbon monoxide?

A) A double bond between carbon and oxygen

B) 1ó, 1ð and 1 coordinate bond between carbon and oxygen

C) One lone pair of electrons only on oxygen atom

D) 1ó & 2ð bonds between carbon and oxygen.

12. Which of the following is the Alicyclic Compounds?

A) Aromatic Compounds

B) Aliphatic Cyclic Compounds

C) Heterocyclic Compounds

D) Aliphatic compound


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13. Which among the following is the Baeyer's reagent?

A) Alkaline permanganate solution

B) Acidified permanganate solution

C) Neutral permanganate solution

D) Aqueous bromine solution

14. Which of the following expressions gives the de Broglie relationship?

A) p = h/v

B) ʎ = h/mv

C) h = mv/ʎ D) ʎ = v/p

15. At 250C, the highest osmotic pressure is exhibited by 0.1M solution of:

A) Glucose

B) K3[Fe(CN)6]

C) Ca(NO3)2

D) Al2(SO4)3

16. Which of the following shows a negative deviation from Raoult�s law?

A) Acetone �Benzene

B) Acetone �Ethanol

C) Acetone �Chloroform

D) Benzene �Methanol

17. Al3+

has lower ionic radius than Mg2+

ion because:

A) Al atom has less number of neutrons than Mg

B) Their electro negativities are different

C) Mg has a higher ionization potential than Al

D) Al3+

has a higher nuclear charge than Mg2+

18. Which of the following correctly represents Thermoplastics?

A) Intermolecular forces are strong

B) Intermolecular forces are weak

C) They cannot be remoulded into any shape

D) They have very high glass transition temperature

19. Lithium is the strongest reducing agent among alkali metals due to which of the following factors?

A) Ionisation energy

B) Electron affinity

C) Hydration energy

D) Lattice energy


Page 4 of 5

20. Gallium doped with germanium is a:

A) n-type semiconductor

B) p-type semiconductor

C) p-n type semiconductor

D) p-n-p type semiconductor

21. The EAN of the complex [Co(NH3)6Cl3] is:

A) 33

B) 35

C) 36

D) 38

22. In K4[Fe(CN)6] complex. What is the hybridization of Fe?

A) d2sp

2

B) d2sp

3

C) dsp2

D) sp3

23. Which one is the correct IUPAC name of Iso butyl bromide?

A) 1-bromo butane

B) 2-bromo butane

C) 1-bromo-2-methyl propane

D) 2-bromo-2-mehtyl butane

24. What is the indication for the appearance of red colour in Victor Meyer's test?

A) 1⁰ Alcohol

B) 2⁰ Alcohol

C) 3⁰ Alcohol

D) Phenol

25. Which catalyst is used in the equation, C₆H₅CHO + CH₃COCH₃ → C₆H₅CH = CHCOCH₃?

A) NaOH

B) KMNO₄ C) K₂Cr₂O₇ D) LiAlH₄


Page 5 of 5

26. Which one of the following protein act as antibodies?

A) Albumin

B) Haemoglobin

C) Actin

D) Gamma globulins

27. What is a biochemical messenger called as?

A) A transport protein

B) A harmone

C) An enzyme

D) An antigen

28. The conversion of an amide to amine by reaction with Br2 and KOH is called as:

A) Carbyl amine reaction

B) Hoffman�s reaction

C) Parkin�s reaction

D) Aldol reaction

29. 2SO2 + O2 ⇄ 2SO3 + 185.2 k According to Le Chatelier�s principle, best yields of sulphur trioxide

are obtained using:

A) High pressure and high temperature

B) High pressure and low temperature

C) Low pressure and high temperature

D) Low pressure and low temperature

30. What is the electron configuration for Berkelium?

A) [Xe]7s25f

9

B) [Xe]7s25f

96'd

1

C) [Rn]7s25f

9

D) [Rn]7s25f

96d

1

Sample Paper-Mathematics

Page 1 of 6

Mathematics

1. Find the number of solutions of the equation:

cos2 + 2cos - 8 = 0

A) Exactly two solutions

B) Exactly four solutions

C) Infinitely many solutions

D) No solution

2. What is the locus of the point z satisfying the condition1

arg1 3

z

z

?

A) A parabola

B) A circle

C) Pair of straight line

D) An ellipse

3. If z is a complex number, then 3z - 1 = 3z - 2 represents:

A) Y-axis

B) A circle

C) X-axis

D) A line parallel to y-axis

4. If A = {x : x = n2, n = 1, 2, 3}, then the number of subsets of A is:

A) 16

B) 15

C) 4

D) 8

5. Find the domain of2( ) 2 2f x x x .

A) [-3, 3]

B) [-1-3, -1+3]

C) [-3, 3]

D) [-3 � 2, 3 + 2]

6. Find the period of the function ( ) 3sin 4cos3 4

x xf x

.

A) 6

B) 24

C) 8

D) 2


Page 2 of 6

7. If the sum of 40 arithmetic mean between two numbers is 120, then the sum of 50 arithmetic mean

between them is equal to:

A) 130

B) 160

C) 140

D) 150

8. What is the next term in the following sequence?

1, 2, 4, 7, 11,�..

A) 17

B) 16

C) 15

D) 14

9. Number of diagonals of a convex hexagon is:

A) 3

B) 6

C) 9

D) 12

10. Find the value of3

tan tan8 8

.

A) 0

B) 1

C) 1/2

D) 3

11. What is the minimum value of 3cos x + 4sin x + 8?

A) 5

B) 9

C) 7

D) 3

12.

0

sin, 0,

sinlimn

mx

xn m

x

is equal to:

A) 1

B) 0

C) m/n

D) n/m

13.

2

0lim

x

x

x

A) Is equal to 1

B) Is equal to -1

C) Is equal to 0

D) Does not exist


Page 3 of 6

14. If 2 100

1 .....2 100

x xf x x , then is equal to:

A) 1/100

B) 100

C) 0

D) 99

15. If ' '1 1, , & 2

2 3P A B P A B P A p P B p , then what is the value of p?

A) 1/3

B) 4/9

C) 1/9

D) 7/18

16. Three digit numbers are formed using the digits 0, 2, 4, 6, 8. Out of these numbers, a number is chosen

at random. Find the probability that this number has the same digits.

A) 1/25

B) 1/16

C) 16/25

D) 1/645

17. There are two bookcases A and B. A contains 2 Hindi and 3 Kannada books and B contains 4 Hindi and

5 Kannada books. One book is taken random from one of the bookcases and is found to be Kannada. Find

the probability that it was from bookcase B.

A) 25/52

B) 52/25

C) 1/52

D) 1

18. The points (4, 7, 8), (2, 3, 4) & (-1, 2, 1) are the three vertices of a parallelogram. Find the fourth

vertex of the parallelogram.

A) (1, 2,-5)

B) (1, 6, 5)

C) (1,-2, 5)

D) (-1, 2, 5)

19. If 2 &a i j k

is the angle between the vectors a

& z-axis, then find the value of cos.

A) 1/6

B) 5/12

C) 5/6

D) 1/3


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20. , ,a b c

are the three vectors such that 0, 1, 2, 3a b c a b c

, then what is the value of

. . .a b b c c a

?

A) 0

B) -7

C) 7

D) 1

21. The sum of 2 3

5 7

and its multiplicative inverse is:

A) 4 6

10 14

B) 0 0

0 0

C) 0 2

2 0

D) 5 0

0 5

22. If

5 8 10 2 5 12

5 2 1 and 3 10 13

6 9 12 4 9 5

A B

, then find A B .

A)

5 8 10

5 2 1

6 9 12

B)

74 195 214

20 54 91

87 228 249

C)

0 89 10

0 2 1

6 228 12

D)

7 13 22

8 12 14

10 18 17


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A) 4

B) 7

C) ±4√3

D) ±3√4

24. Find the solution of

1

3dy y

dx x

.

A)

2 2

3 3x y c

B)

1 1

3 3x y c

C)

2 2

3 3y x c

D)

1 1

3 3y x c

25. Find position function at t=0, s=3, if an insect is moving with the velocity along a

straight line.

A)

B)

C)

D)

26. Solution of the differential equation 2xdy ydx y xdy ydx is:

A) x

xy cy

B) x

xy cy

C) y

xy cx

D) 0y

xyx


Page 6 of 6

27. The radius of the circle passing through the foci of the ellipse

2 2

116 9

x y and having its centre (0, 3)

is:

A) 4

B) 3

C) 12

D) 7/2

28. The equation 2 3 0,mx y m m R represents which of the following family?

A) Lines through (2, 3)

B) Lines through (3, 2)

C) Lines through (-2, 3)

D) Lines with intercepts (1, 1) on two axes

29. If the straight line x + y + 1 = 0 is changed into the form x cos હ + y sin હ = p, then હ =?

A) ð / 4

B) 3ð / 4

C) 5ð / 4

D) 7ð / 4

30. A pair of dice is rolled. Find P (A/B) if,

A: 2 appears on atleast one die.

B: Sum of numbers appearing on die is 8.

A) 1/12

B) 1/36

C) 1/6

D) 2/5

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Galgotias Engineering Entrance Examination (GEEE 2014) Sample Paper

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