admission cum scholership test for Two years foundation Batch (2024-2026)

1. The image shows the path of incident rays to a cocave mirror.

Where would the reflected rays meet for the image formation to take place?

2. A convex lens forms a virtual image when an object is placed at a distance of 18 cm from it. The focal length must be

3. Light from the sun falling on a convex lens will coverage at ______.

4. Responses of plant towards water is called

5. The respiratory pigment in human beings is

6. A circuit has a charge of 2C moving through it in 3s. Which electrical component in the circuit, if present, will show the current?

7. If one of the triangle is 130 ^o , then the angle between the bisectors of the other two angles can be

8. 12 sphere of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is

9.

10. Why was the Thomson’s Model of an atom failed?
(i) It could not explain the screening of negative charges from that of positive
(ii) It did not tell about the presence of electrons
(iii) It did not give an idea about the discrete energy levels
(iv) It explained the atom as a whole to be electricity neutral
Choose the correct option from the following.

11. What is the common difference of an AP in which a ₁₈ – a ₁₄ =32?

12. Which of the following statements is correct about an aqueous solution of an acid and of a base?
(i) Higher the pH, stronger the acid
(ii) Higher the pH, weaker the acid
(iii) Lower the pH, stronger the base
(iv) Lower the pH, weaker the base

13.
Give the missing term

14. Which plant harmone promotes dormancy in seeds and buds?

15. PH scale of neutral solution is

16. Which of the following is neutral salt?

17. The next term of the sequence
1/1+√x, 1/1-x, 1/1- √x is (x ≠ 1).

18. A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, the radius of the base of the cone is

19. The value of c for which the equation ax ² +2bx+c=0 has equal roots is

20. If the angle of elevation of a cloud from a point 200m above a lake is 30^o and the angle of depression of its reflection in lake is 60^o , then the height of the cloud above the lake, is

21. You have a coil and a bar magnet. You can produce an electric current by moving

22. How many digits will be there in the cube root of 46656?

23. In amoeba, food is digested in the

24. What is the chemical formula of P.O.P (Plaster of Paris)?

25. A metal rod PQ is placed in the magnetic field. The ends of the rod are connected to a battery using wires.

Where will the rod move?

26. Match the column:

27. The atomic number of an element ‘x’ is 12 which inert gas is nearest to x?

28. In two triangles DEF and PQR, if DE = QR, EF = PR and FD = PQ, then

29. At the time of Mendeleev, the number of elements known was

30. If 7 ^th and 13 ^th term of an A.P. be 34 and 64 respectively, then its 18 ^th term is

31. If two tangents inclined at an angle 60 ^o are drawn to a circle of radius 3 cm, then the length of each tangent is equal to

32. Four cars A, B, C and D are moving on a lavelled, straight road. Their distance time graphs are shown in the figure below. Which of the following is the correct statement regarding the motion of these cars?

33. When SO ₂ gas is passed through saturated solution of H ₂ S, which of the following reaction occurs?

34. tan 5 ^o × tan 30 ^o × 4 tan 85 ^o is equal to

35. The speed of a car weighing 1500 kg increases from 36 km/h to 72 km/h uniformly. What will be the change in momentum of the car?

36. On converting 308K, 329K and 391K to Celcius scale, the correct sequence of temperatures will be:

37. A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone is

38. A student places some iron filings around a magnet. The iron fillings arrange themselves as shown in the image.

The student labelled four different regions around the magnet. Where would the magnetic field be the strongest?

39. Physical unit of inheritance or heredity is called:-

40. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters of 16 m and 12 m in a locality. The radius of the new park would be

41. One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are

42. The neuron is consist of

43. In a metal

44. A student conducts an activity using a flask of height 15 cm and a concave mirror. He finds that the image formed is 45 cm in height. What is the magnificance of the image?

45. Calculate the current flows through the 10Ω resistor in the following circuit.

46. pb+C ₄ Cl ₂ →pb Cl ₂ +C ₄ The above reaction is an example of

47. Which of the following is a strong acid

48. What is responsible for transmission of nerve impulse?

49. If on division of a polynomial p(x), the quotient is zero, then the relation between the degrees of p(x) and g(x) is

50. If 1/2 is a root of the quadratic equation x ² -mx-5/4=0, then the value of m is:

51. Spore formation takes place in:-

52. If O(p/3, 4) is the midpoint of the line segment joining the points P(-6, 5) and Q(-2, 3), then the value of P is:

53. 1+tan ² A/1+cot ² A is equal to

54. Which region of the alimentary canal absorbs the digested food?

55. Human brain is composed of

56. Structural and functional unit of nervous system is

57. Roots of plants are

58. A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. The fraction obtained is:

59. Sodium carbonate reacts with hydrochloric acid and produces

60. If 5 tan -4=0, then the value of 5sin-4cos/5sin + 4cos is

61. Sum of all interior angles of a polygon with (n) sides is given by

62. The potential at a point is 20V. The work done in bringing a charge of 0.5C from infinity to this point will be

63. Which of the following will turn red litmus blue?

64. Human brain can be divided into

65. In the given figure, three sectors of a circle of radius 7 cm, making angles of 60 ^o , 80 ^o and 40 ^o at the centre are shaded. The area of the shaded region (in 2cm) is [using ℼ = 227] [Foreign 2012]

66. It is given that ∆ABC ~ ∆PQR, with BC/QR = 1/4 then, ar(∆PQR)/ar(∆ABC) is equal to

67. The poorest conductor of heat among metals is

68. The decimal expansion of the rational number 23/( 2 ² .5) will terminate after

69. In the given figure below, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5cm. Then the radius of the circle is

70. In a rocket, a large volume of gases produced by the combustion of fuel is allowed to escape through its tail nozzle in the downwards direction with the tremendous speed and makes the rocket to move upward.

Which principle is followed in this take off of the rocket?

71. The period during adolescence when the reproductive tissues begin to mature is called

72. A girl calculates that the probability of her winning the first prize in a lottery is 8/100. If 6, 000 tickets are sold, how many tickets has she bought?

73. If y=1 is a common root of the equation ay ² +ay+3-0 and y ² +y+b=0, the ab equals

74. Consider the following statements
(i) x – 2 is a factor of x ³ – 3x ³ + 4x -4.
(ii) x + 1 is a factor of 2x ³ + 4x + 6.
(iii) x – 1 is a factor of x ⁵ + x ⁴ – x ³ + x ² -x+1.
In these statements

75. A ray of light is incident on a concave mirror. If it is parallel to the principle axis, the reflected ray will