EXAMINATION 3

                  Tribhuvan University Institute of Engineering Entrance Examination Board 

                                                             BE/B.Arch. Online Entrance Examination

                          IOE FREE EXAM   [30 questions]  

                                          Time: 45min 

        Examination Notice: 

↣ You have to check question mark ( ? ) button on correct option, give instant answer. 

↣ Click on  Next➤ buton to navigate to next page. 

↣ Click on Previous◄ buton to navigate to previous page. 

↣ Informations along with time remaining, total attempted and total questions will be displayed at top of your page. 

[ 30 Marks]

  

1 / 30

1. If in triangle ∆ABC,cos⁡A=sin⁡B/2sin⁡C , then the triangle is
   
   1.   Isosceles
   2.   None of these
   3.   Equilateral
   4.   Right angled
2. In which of the following instruments is final image erect?
   1.   all of them
   2.   Compound microscope
   3.   Simple microscope
   4.   convex lens
3. How many electrons constitute a current of one microampere?
   1.   6.25×10¹²
   2.   6.25×10¹⁵
   3.   6.25×10⁹
   4.   6.25×10⁶
4. 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.   112 km/s
   2.   24 km/s
   3.   280 km/s
   4.   56.0 km/s
5. Domain of f(x)=sin−1(x−3)/√9−x2 is
   
   1.   [2,3]
   2.   [1,2)
   3.   [2,3)
   4.   [1,2]
6. d/dx(√sec2x+cosec2x)=
   1.   None of these
   2.   −4cosec2x⋅cot2x
   3.   4cosec2x⋅cot2x
   4.   −4cosecx⋅cot2x
7. The IUPAC name of the following organic compound is :
   
   1.   2,4– dichloro 4 – formylbut – 2 – en – 3 – ol
   2.   2,4 – dichloro – 1 – formylbut – 3 – en – 3 – ol
   3.   2,4 – dichloro – 3 – hydroxypent – 2 – en – 4 – al
   4.   2,4 – dichloro – 3 – hydroxypent – 3 – enal
8. In the periodic table, metals usually used as catalyst belongs to
   
   
   1.   d-block
   2.   p-block
   3.   s-block
   4.   f-block
9. 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.   C-½ G½ h ½
   3.   C½ G-½ h ½
   4.   C½ G½ h-½
10. Sulphuric acid reacts with most bases to give the corresponding _________ .
    1.   Sulphide
    2.   Phosphate
    3.   Sulphate
    4.   Sulphurous acid
11. 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.   4×10^6N
    2.   2×10^4N
    3.   4×10^2N
    4.   2×10^6N
12. If 10²¹ molecules are removed from 200 mgof CO2, then the number of moles of CO2 left are
    1.   6.10×10−⁴
    2.   2.28×10−³
    3.   1.36×10−²
    4.   2.8×10-³
13. The O.N. of Co in K[Co(CO)₄ ] is
    
    1.   −1
    2.   +3
    3.   +1
    4.   0
14. The latus rectum of the parabola y²=5x+4y+1 is
    
    1.   5
    2.   10
    3.   5/4
    4.   5/2
15. 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.   A,D
    2.   B,C
    3.   A,C
    4.   B,D
16. 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
17. 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.   0.4%
    2.   0.8%
    3.   0.6%
    4.   1.2%
18. ∫0dx between limit 0 to 1=
    1.   meaningless
    2.   0
    3.   constant
    4.   not determined
19. 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.   13J
    2.   9J
    3.   15J
    4.   6J
20. The largest number of molecules present in :
    1.   56.0 g of carbon monoxide
    2.   54.0 g of nitrogen pentoxide
    3.   3.60 g of water
    4.   46.0 g of ethyl alcohol
21. 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=0
    4.   2x+3y+4z=4
22. 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)^3=(λ1)^2+(λ2)^2
    2.   λ3=λ1+λ2
    3.   λ1+λ2+λ3=0
    4.   λ3=λ1λ2/λ1+λ2
23. The first term of a harmonic progression is 1/7 and the second term is 1/9. The 12th term is
    1.   1/27
    2.   1/29
    3.   1/19
    4.   1/17
24. The foot of the perpendicular drawn from the point (3,2,5) on xy plane is :
    
    1.   (3,0,0)
    2.   (3,4,0)
    3.   (3,0,5)
    4.   (0,2,5)
25. Bayer's reagent is used in the laboratory for:
    
    1.   detection of benzene
    2.   detection of double bond
    3.   reduction process
    4.   detection of glucose
26. 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.   None of these
    3.   160
    4.   156
27. On addition of AgNO₃ to four different test tubes containing different solutions, one of them gave a white precipitate. It may contain:
    1.   KNO₃
    2.   CHCl₃
    3.   CaCl₂
    4.   a parabola
28. 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 circle
    2.   a straight line
    3.   an ellipse
    4.   a parabola
29. Consider the electronic configuration 1s²2s²2px₂²
    ​
    1.   It violates Pauli's exclusion principle.
    2.   It violates Hund's rule
    3.   It violates Aufbau principle.
    4.   It is correct
30. Neutron decay in free space is given as follows
    ₀n¹ -----> ₁H¹+ ₁e⁰ +[ ]
    Then the parenthesis [ ] represents a
    1.   photon
    2.   graviton
    3.   antineutrino
    4.   neutrino