EXAMINATION 3

                  Tribhuvan University Institute of Engineering Entrance Examination Board 

                                                             BE/B.Arch. Online Entrance Examination

                          IOE FREE EXAM   [30 questions]  

                                          Time: 45min 

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[ 30 Marks]

  

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1. The locus of a point which moves with time t in a XY-plane such that, x=t₂−1 and y=t₂+1 is:
   
   1.   a straight line
   2.   an ellipse
   3.   a parabola
   4.   a circle
2. If 10²¹ molecules are removed from 200 mgof CO2, then the number of moles of CO2 left are
   1.   2.8×10-³
   2.   6.10×10−⁴
   3.   2.28×10−³
   4.   1.36×10−²
3. The equation of the plane through (1,2,3) and parallel to the plane 2x+3y−4z=0 is
   1.   2x+3y−4z+4=0
   2.   2x−3y+4z+4=0
   3.   2x+3y+4z=4
   4.   2x+3y+4z+4=0
4. On addition of AgNO₃ to four different test tubes containing different solutions, one of them gave a white precipitate. It may contain:
   1.   CHCl₃
   2.   a parabola
   3.   CaCl₂
   4.   KNO₃
5. The foot of the perpendicular drawn from the point (3,2,5) on xy plane is :
   
   1.   (0,2,5)
   2.   (3,0,5)
   3.   (3,0,0)
   4.   (3,4,0)
6. The coefficient of superficial expansion of rod is 4×10ˉ⁵/∘C. The percentage increase in the volume of a cube of that metal when it is heated from 0 ∘C to 100∘C is :
   1.   0.8%
   2.   1.2%
   3.   0.4%
   4.   0.6%
7. If in triangle ∆ABC,cos⁡A=sin⁡B/2sin⁡C , then the triangle is
   
   1.   Right angled
   2.   Isosceles
   3.   Equilateral
   4.   None of these
8. The largest number of molecules present in :
   1.   54.0 g of nitrogen pentoxide
   2.   3.60 g of water
   3.   46.0 g of ethyl alcohol
   4.   56.0 g of carbon monoxide
9. The IUPAC name of the following organic compound is :
   
   1.   2,4 – dichloro – 1 – formylbut – 3 – en – 3 – ol
   2.   2,4– dichloro 4 – formylbut – 2 – en – 3 – ol
   3.   2,4 – dichloro – 3 – hydroxypent – 3 – enal
   4.   2,4 – dichloro – 3 – hydroxypent – 2 – en – 4 – al
10. How many electrons constitute a current of one microampere?
    1.   6.25×10¹⁵
    2.   6.25×10⁹
    3.   6.25×10¹²
    4.   6.25×10⁶
11. The O.N. of Co in K[Co(CO)₄ ] is
    
    1.   +1
    2.   −1
    3.   +3
    4.   0
12. In the periodic table, metals usually used as catalyst belongs to
    
    
    1.   f-block
    2.   p-block
    3.   d-block
    4.   s-block
13. Sulphuric acid reacts with most bases to give the corresponding _________ .
    1.   Sulphate
    2.   Phosphate
    3.   Sulphide
    4.   Sulphurous acid
14. Bayer's reagent is used in the laboratory for:
    
    1.   detection of double bond
    2.   reduction process
    3.   detection of benzene
    4.   detection of glucose
15. How many numbers less than 1000 can be made from the digits 1, 2, 3, 4, 5, 6 (repetition is not allowed)?
    
    1.   150
    2.   160
    3.   156
    4.   None of these
16. A uniform force of (3i^+ j^ ) newton acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i^+ k^) meter to position (4 i^+3j^−k^) meter. The work done by the force on the particle is-
    1.   6J
    2.   15J
    3.   9J
    4.   13J
17. Neutron decay in free space is given as follows
    ₀n¹ -----> ₁H¹+ ₁e⁰ +[ ]
    Then the parenthesis [ ] represents a
    1.   neutrino
    2.   antineutrino
    3.   graviton
    4.   photon
18. The latus rectum of the parabola y²=5x+4y+1 is
    
    1.   5/4
    2.   5
    3.   5/2
    4.   10
19. Energy levels, A, B, C of a certain atom correspond to increasing values of energy i.e EA<EB<Ec. if λ 1, λ2, λ 3 are the wavelengths of radiations corresponding to the transitions C to B, B to A and C to A respectively, which of the following relations is correct ?
    
    
    1.   λ3=λ1+λ2
    2.   (λ3)^3=(λ1)^2+(λ2)^2
    3.   λ3=λ1λ2/λ1+λ2
    4.   λ1+λ2+λ3=0
20. In which of the following instruments is final image erect?
    1.   convex lens
    2.   Compound microscope
    3.   all of them
    4.   Simple microscope
21. d/dx(√sec2x+cosec2x)=
    1.   None of these
    2.   −4cosec2x⋅cot2x
    3.   4cosec2x⋅cot2x
    4.   −4cosecx⋅cot2x
22. pH of human blood is 7.4. Then concentration will be
    
    1.   4×10−^4
    2.   2×10−^4
    3.   4×10−^8
    4.   2×10−^8
23. If the velocity of light (c), gravitational constant (G) and Planck's constant (h) are chosen as fundamental units, then the dimensions
    
    of mass in new system is
    1.   C½ G½ h½
    2.   C½ G½ h-½
    3.   C-½ G½ h ½
    4.   C½ G-½ h ½
24. The first term of a harmonic progression is 1/7 and the second term is 1/9. The 12th term is
    1.   1/29
    2.   1/27
    3.   1/17
    4.   1/19
25. In a rocket of mass 1000kg fuel is consumed at a rate of 40kg/s. The velocity of the gases ejected from the rocket is 5000m/s. the thrust on the rocket is
    1.   2×10^4N
    2.   4×10^2N
    3.   2×10^6N
    4.   4×10^6N
26. In a Coolidge tube
    A) The intensity of x-rays is controlled by filament current
    B) The intensity of x-rays is controlled by the accelerating voltage.
    C) As the accelerating voltage is increased λ
    min is decreased
    D) λ min is controlled by filament current
    1.   B,C
    2.   A,C
    3.   B,D
    4.   A,D
27. The escape velocity for the earth is 11.2 km/s. The mass of another planet 100 times mass of earth and its radius is 4 times radius of the earth. The escape velocity for the planet is
    1.   24 km/s
    2.   112 km/s
    3.   280 km/s
    4.   56.0 km/s
28. Consider the electronic configuration 1s²2s²2px₂²
    ​
    1.   It is correct
    2.   It violates Hund's rule
    3.   It violates Pauli's exclusion principle.
    4.   It violates Aufbau principle.
29. Domain of f(x)=sin−1(x−3)/√9−x2 is
    
    1.   [2,3)
    2.   [2,3]
    3.   [1,2)
    4.   [1,2]
30. ∫0dx between limit 0 to 1=
    1.   not determined
    2.   0
    3.   constant
    4.   meaningless