last year lateral entrance solution papers

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Here I am giving you sample question paper for B tech lateral entry examination of Kerala below :

MATHS

1. Roots of the quadratic equation x2 +6x-2=0

(a) Real

(b) Complex

© Imaginary

(d) Not Real

2. Sum up the series 12,15,18,21…….up to 30 terms.

(a) 1555

(b) 1670

© 1665

(d) 1680

3. The number of ways in which a student can choose 5 course out of 9 course.

When two courses are compulsory is.

(a) 35

(b) 45 x 11

© 25

(d) 95

4. In the expansion of (3x+2)4 ,the coefficient of middle term is

(a) 81

(b) 54

© 216

(d) 36

5. The system of equation x+2y=5 and 7x+14y=35 has

(a) infinitely many solutions

(b) a unique solutions

© no solutions

(d) Finite no. of solutions.

6. A matrix is

(a) collection of real number

(b) collections of real and complex numbers

© An array of real numbers

(d) An array of real or complex number

7. The equation x=at2 ,y=2at;represent

(a) circle

(b) ellipse

© hyperbola

(d) parabola

8. If x=at2 ,dy/dx=………..

(a) 2a

(b) 2at

© at3

(d) 0

9. The value of cos20⁰,cos40⁰,cos60⁰,cos80⁰ is equal to

(a) 3/8

(b) 1/8

© 1/16

(d) 3/16

10. If tanθ= -4/3, then sinθ =……………

(a) -4/5 but not 4

(b) -4/5 or 4/5

© 4/5 but not -4/5

(d) None of these

11. If the tenth term of a GP is 9 and 4 th term is 4 then its 7 th term is

(a) 6

(b) 36

© 4/9

(d) 9/4

12. If cross product of two non zero vector is zero ,then the vector are

(a) collinear

(b) co- directional

© co- initial

(d) co- terminus

13. Items bought by a trader for $80 are sold for $100. The profit expressed as a percentage of

cost price is

(a) 2.5 %

(b) 20%

© 25%

(d) 50%

14. Given that a and b are integers, which of the following is not necessarily an integer?

(a) 2a-5b

(b) a7

© b2

(d) ab

15. In the diagram, not drawn to scale, TF is a vertical pole standing on horizontal ground

PF. The angle of depression of point P from the top of the pole is . What is the

distance PF ?

(a) 10 m

(b) 20 m

© 42 m

(d) 90 m

16. Profits in the partnership of Bess, Bill and Bob are shared in the ratio 1 : 2 : 3. If Bill's

share of the profits is $300, what is Bob's share?

(a) $150

(b) $450

© $600

(d) $ 900

17. The figure, not drawn to scale, shows a triangle of height 4 cm cut from a shaded square

of sides 5 cm. What is the area, in cm2 of the remaining shaded region of the

square?

(a) 5

(b) 10

© 15

(d) 20

18. Which of the following represents numbers greater than -3 but less than 6 ?

(a) {x: -3 >x >6}

(b) {x: -3 ≥ x ≥ 6}

© {x: -3 < x < 6}

(d) {x: -3 ≤ x ≤ 6}

19. A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for

regular time. If he was paid $168, how many hours overtime did he work?

(a) 8

(b) 16

© 28

(d) 48

20. What is the value of u in the sequence 2 , 7 , 14 , 23 , 34 , u ?

(a) 45

(b) 46

© 47

(d) 48

21. The function f(x) = x/2 + 2/x has a local minimum at

(a) x=2

(b) x=-2

© x=0

(d) x=1

22. Differentiation of logx.sinx

(a) sinx.1/x

(b) cosx.sinx + logx

© sinx.1/x + logx.cos

(d) cosx.(-1/x) + 1/logx

23. y = sinx then evaluate dy/dx = ? then what is Integration of ?

(a) sin x

(b) cos x

© –sin x

(d) –cos x

24. An integer is chosen at random from the number ranging from 1 to 50. The probability

that the integer chosen is a multiple of 2 or 3 or 10 is

(a) 3/10

(b) 7/10

© 18/25

(d) 9/10

25. Which of the following is a subset of {b, c, d}?

(a) {}

(b) {a}

© {1,2,3}

(d) {a,b,c}

26. 3x - 4(x + 6) =

(a) x+6

(b) -x-24

© 7x+6

(d) -7x-24

27. 3 4/5 expressed as a decimal is

(a) 3.40

(b) 3.45

© 3.50

(d) 3.80

28. Which of the following is the Highest Common Factor of 18, 24 and 36?

(a) 6

(b) 18

© 36

(d) 72

29. The bases and heights of a cylinder and a cone are the same. The volume of the cylinder is

V cm3. What is the volume of the cone in cm3?

(a) 1/4 V

(b) 1/3 V

© 1/2 V

(d) V

30. The average of a set of numbers reduces from 14 to 11 when the number 35 is removed.

How many numbers were in the original set?

(a) 8

(b) 11

(a) 21

(b) 25

SCIENCE

31. Poise is the unit of

(a) Surface Tension

(b) Viscosity

© Elasticity

(d) Terminal Velocity

32. A device used for converting alternating current into direct current is

(a) Inverter

(b) Transformer

© Pacifier

(d) None of these

33. Sound waves cannot propagate through

(a) Glass

(b) Air

© Vacuum

(d) Iron

34. Sun light reaches the Earth by the process of

(a) Conduction

(b) Convection

© Radiation

(d) Conduction, Convection and Radiation

35. Mercury becomes super conductor at

(a) Very high temperature

(b) 0⁰ C

© Very low temperature

(d) 47.5⁰ C

36. When the length of a wire is doubled, the specific resistance of the material of the wire

(a) Becomes half

(b) Gets doubled

© Remains unchanged

(d) None of these

37. Electricity charge can be stored in a

(a) Battery

(b) Capacity

© Inductor

(d) Dynomo

38. S.I. unit of work is

(a) dyne

(b) erg

© newton

(d) Joul

39. Optical fibres are based on

(a) Reflection of light

(b) Polarization

© Total internal reflection

(d) Refraction

40. Height of Geostationary satellite above earth is approximately

(a) 1000 km

(b) 36000km

© 42000km

(d) 18000km

41. Acceleration due to gravity is maximum at

(a) Poles

(b) Equator

© Sea Level

(d) Mount Everest

42. Planetary motion is governed by …… law of planetary motion

(a) Newton’s

(b) Copernicus

© Kepler

(d) Galileo

43 . Stress is proportional to strain within elastic limit. It is the statement of

(a) Ohms law

(b) Pascal’s law

© Hook law

(d) Newton’s law

44. Light year is the unit of

(a) time

(b) distance

© acceleration

(d) velocity

45. Which of the following is not a vector quantity

(a) acceleration

(b) kinetic energy

© velocity

(d) momentum

46. The ratio of specific heat of gas at constant pressure to specific heat of gas at constant

volume is

(a) less than 1

(b) 1

© greater than 1

(d) zero

47. Purest form of iron is

(a) cast iron

(b) wrought iron

© steel

(d) none of these

48. The nuclear reaction

1H2 + 1H2= 2He 4 is called a

(a) Chain reaction

(b) fission reaction

© fusion reaction

(d) critical reaction

49. Artificial radio active was discovered by

(a) rontegen

(b) Becquerel

© Marie curie

(d) Irone joliot curie

50. Formation of chemica bond is associated with

(a) decrease in potential energy

(b) increase in potential energy

© no change in potential energy

(d) potential energy first increases then decreases.

51. In free vibrations, the frequency of a body is called:

(a) Free frequency

(b) Natural frequency

© Resonant frequency

(d) Own frequency

52. Carbon atoms in diamond are bound together by means of

(a) carbon bond

(b) lonic bond

© co-valent bond

(d) hydrogen bond

53. Fixation of nitrogen means

(a) manufacture of nitrogen

(b) liqnefication of nitrogen

© conversion of nitrogen into nitric acid

(d) conversion of atmospheric nitrogen into useful compounds.

54. Which of the following is used as a fuel?

(a) CO2

(b) CH3OH

© CH4

(d) CH2COOH

55. Which of the following is used as a solid lubricant?

(a) carbon

(b) graphite

© borex

(d) greases

56. Which of the following is not a chemical compound?

(a) water

(b) air

© acetic acid

(d) sulphur dioxide

57. The instrument used to see distant objects more clearly is called:

(a) Prism

(b) Telescope

© Microscope

(d) Camera

58. Power of lens is measured in:

(a) Centimeter

(b) Watt

© Dioptre

(d) Meter

59. A telescope forming image at infinity, is said to be in ……………………… mode.

(a) Normal adjustment

(b) Real adjustment

© Virtual adjustment

(d) None of them

60. Change of path of light when entering from one medium to other, is called:

(a) Diffraction

(b) Refraction

© Reflection

(d) Total internal reflection