(Download) AIEEE 2008 Solved Question Papers (Mathematics, Chemistry & Physics)

AIEEE 2008 Solved Question Papers

Mathematics (Sample Question)

1. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6·80. Then which one of the following gives possible values of a and b?
(1) a =1, b = 6 (2) a = 3, b = 4 (3) a = 0, b = 7 (4) a = 5, b = 2

Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x = cy bz, y = az cx and z = bx ay . Then a² + b² + c² is equal to:
(1) 0
(2) 1
(3) 2
(4) -1

The quadratic equations x² + 6x + a = 0 and x² + cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4:3. Then the common root is:
(1) 3
(2) 2
(3) 1
(4) 4

Chemistry (Sample Question)

Which one of the following is the correct statement?
(1) Chlorides of both beryllium and aluminium have bridged chloride structures in solid phase.
(2) B₂H₆.2NH₃ is known as inorganic benzene.
(3) Boric acid is a protonic acid.
(4) Beryllium exhibits coordination number of six.

Amount of oxalic acid present in a solution can be determined by its titration with KMnO4 solution in the presence of H2SO4.
The titration gives unsatisfactory result when carried out in the presence of HCl, because HCl
(1) reduces permanganate to Mn²⁺.
(2) oxidises oxalic acid to carbon dioxide and water.
(3) gets oxidised by oxalic acid to chlorine.
(4) furnishes H⁺ ions in addition to those from oxalic acid.

Which of the following factors is of no significance for roasting sulphide ores to the oxides and not subjecting the sulphide ores to carbon reduction directly?
(1) Metal sulphides are less stable than the corresponding oxides.
(2) CO₂ is more volatile than CS₂.
(3) Metal sulphides are thermodynamically more stable than CS₂.
(4) CO₂ is thermodynamically more stable than CS₂.

Physics (Sample Question)

This question contains Statement-1 and Statement -2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement –1: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion. and
Statement –2: For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei it decreases with increasing Z.
(1) Statement –1 is true, Statement- 2 is true; Statement -2 is not a correct explanation for Statement-1
(2) Statement –1 is true, Statement- 2 is false
(3) Statement –1 is false, Statement- 2 is true
(4) Statement –1 is true, Statement- 2 is true; Statement -2 is a correct explanation for Statement-1

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on circular scale is 50. Further, it is found that screw gauge has a zero error of – 0.03mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3mm and the number of circular scale divisions in line with the main scale as 35. The diameter of wire is
(1) 3.67 mm
(2) 3.38 mm
(3) 3.32 mm
(4) 3.73 mm

An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distances are measured by
(1) a meter scale provided on the microscope
(2) a screw gauge provided on the microscope
(3) a vernier scale provided on the microscope
(4) a standard laboratory scale.

Get Your Dream Job.Post Your Resume Online.