IOE EXAMINATION

                  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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1. If a note x of unknown frequency produces 8 beats/sec, with a source of 250 Hz and 12 beats/sec with a source of 270 Hz, the frequency of unknown source will be:
   1.   262 Hz
   2.   258 Hz
   3.   242 Hz
   4.   282 Hz
2. In how many ways can five examination papers be arranged so that physics and chemistry papers never come together?
   
   1.   60
   2.   48
   3.   31
   4.   72
3. Water rises in a capillary tube when its one end is dipped vertically in it, is 3cm. If the surface tension of water is 75∗10^−3N/m, then the
   
   diameter of capillary will be
   1.   0.5 mm
   2.   2.0 mm
   3.   0.1 mm
   4.   1.0 mm
4. which of the following processes, the number of protons in the nucleus increase?
   1.   α−decay
   2.   k-capture
   3.   (β −) −decay
   4.   (β +)−decay
5. The conjugate of the complex number 2+5i/4−3i is
   
   1.   −7−26i/25
   2.   7−26i/25
   3.   7+26i/25
   4.   −7+26i/25
6. If a,b,c are distinct +ve real numbers and a²+b²+c²=1 then ab+bc+ca is
   
   1.   greater then 1
   2.   less then 1
   3.   any real no.
   4.   equal to 1
7. The amount of water that should be added to 500 ml of 0.5N solution of NaOH to give a concentration of 10 mg per ml is
   1.   250
   2.   100
   3.   200
   4.   500
8. A point (x, y, z) moves parallel to x-axis. Which of the three variable x, y, z remain fixed
   1.   x
   2.   z and x
   3.   y and z
   4.   x and y
9. Number of molecules in 100 ml of each of O2,NH3andCO2 at STP are In the order
   
   1.   NH3=CO2<O2
   2.   NH3<O2<CO2
   3.   The same
   4.   CO2<O2<NH3
10. A rocket of mass 1000 kg is exhaust gases at a rate of 4 kg/s with a velocity 3000 m/s. The thrust developed on the rocket is
    1.   12000 N
    2.   800N
    3.   120N
    4.   200N
11. Hydrogen gas is liberated by the action of aluminium with a concentrated solution of _________.
    1.   none of these
    2.   NaOH
    3.   NaHCO3
    4.   Na2CO3
12. The value of
    limθ→0( (sinθ/4) /θ)
    
    1.   1
    2.   not in existence
    3.   1/4
    4.   0
13. 300 gm of water at 25C is added to 100gm of ice at 0C . Final temperature of the mixture is:
    
    1.   −5°C
    2.   0°C
    3.   −2/5°C
    4.   −3/5 °C
14. An object is placed at 30 cm distance from a concave mirror of focal length 20 cm, then nature, magnification of the image will be:
    1.   Apparent, −2
    2.   Real, +2
    3.   Real, −2
    4.   Apparent, +2
15. We are given b, c and sinB such that B is acute and b<csinB . Then
    
    1.   No triangle is possible
    2.   One triangle is possible
    3.   Two triangles are possible
    4.   A right angled triangle is possible
16. For the reaction PCl3(g)+Cl2(g)=PCl5(g) at 250∘C .
    the value of Kc is 26 , then the value of Kp on the same temperature will be :
    1.   0.57
    2.   0.61
    3.   0.46
    4.   0.83
17. 
    1.   0
    2.   +4
    3.   +2
    4.   +3
18. Br₂gas turns starch iodide paper
    
    1.   Colourless
    2.   Yellow
    3.   Red
    4.   Blue
19. It is possible for a substance to coexist in all three phases in equilibrium, when the substance is at
    1.   Triple point
    2.   Critical temperature
    3.   Boyle temperature
    4.   Dew point
20. Find the derivative of e-^x *cosx
    1.   e^-x *(−xcosx+sinx)
    2.   e^x *cosx sinx
    3.   -e^-x (sinx −cosx)
    4.   e^-x (-sinx -cosx)
21. If A and B are two sets, then A∪B=A∩B if
    1.   A⊆B
    2.   A=B
    3.   B⊆A
    4.   None of these
22. Aufbau principle is not satisfied by
    1.   Cu and Ag
    2.   Cu and Na
    3.   Cr and Cl
    4.   Cr and Mg
23. Which of the following compounds is sparingly soluble in ammonia ?
    1.   AgBr
    2.   AgI
    3.   CuCl₂
    4.   AgCl
24. Find the derivative of the following:
    x−⁴(3−4x−⁵).
    1.   (36x^−5) − 12x^-10
    2.   None of them
    3.   (36x^−10)−12x^−5
    4.   (12x^-10) - 36x^-5
25. First a set of n equal resistors of R each are connected in series to a battery of emf E and internal resistance R. A current (I) is observed to flow. Then the n resistors are connected in parallel to the same battery. It is now observed that the current is increased 10 times. What is n?
    1.   10
    2.   11
    3.   9
    4.   20
26. The potential energy of a body of mass m is given by U=ax+by, where x and y are the position coordinates of the particle.
    The acceleration of the particle is
    
    1.   (a²+b²)½/m
    2.   (a+b)½
    3.   (a+b)½/m
    4.   a+b/m
27. Water is flowing through a horizontal pipe of the non-uniform cross-section. At the extreme narrow portion of the pipe, the water will have
    1.   Both pressure and speed least
    2.   Both pressure and speed maximum
    3.   Maximum pressure and least speed
    4.   Maximum speed and least pressure
28. Sulphuric acid reacts with cupric oxide to give:
    1.   copper sulphate
    2.   cuprous sulphate
    3.   No reaction
    4.   it converts to cuprous oxide.
29. Find the values if sin−1(sin2π/3 )
    1.   π/3
    2.   2π/3
    3.   π/6
    4.   4π/3
30. PCl5 exists but NCl5 does not because
    
    1.   Nitrogen has no vacant orbitals
    2.   Nitrogen atom is much smaller
    3.   NCl5 is unstable
    4.   Nitrogen is highly inert