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. How many number of atomic orbitals associated with M-shell?
   1.   9
   2.   12
   3.   16
   4.   8
2. The locus of the point which is equidistant form the points (1, -1, 3) and (1, -1, -5) is
   1.   x+y+z=-1
   2.   z=1
   3.   x+y+z=3
   4.   z=-1
3. Ethene gas is produced by Kolbe's electrolysis of
   1.   sodium fumeratie
   2.   sodium proponate
   3.   sodium succinate
   4.   sodium acetate
4. The equation r= 1in polar coordinate represents
   1.   parabola
   2.   rectangular hyperbola
   3.   pair of parallel lines
   4.   circle
5. The equation of wave travelling in a string can be written as y = 3 cosπ (100t - x). The wavelength wave is
   1.   πcm
   2.   2cm
   3.   5cm
   4.   100cm
6. A gas formed by reaction FeS with dilute H₂SO₄ gives precipitate with CuSO₄ solution in
   1.   acidified medium
   2.   neutral medium
   3.   alkaline medium
   4.   none
7. Copper and silicon are cooled from 300K to 60K, the specific resistance:
   1.   decreases in silicon but increases in copper
   2.   decreases in copper but increases in silicon
   3.   increases in both
   4.   decreases in both
8. Which of the following is Thomas Slag:
   1.   MnSiO₃
   2.   Mn₃(PO₄)₂
   3.   CaSiO₃
   4.   Ca₃(PO₄)₂
9. If n is odd number, then value of sum ∑n:
   1.   n(n+1)(2n+1)/6
   2.   n(n+1)/2
   3.   7n(n+1)(2n+1)/6
   4.   n²
10. The types of bond present in NH₄Cl is:
    1.   Ionic only
    2.   Ionic, covalent and coordinate covalent
    3.   Covalent and coordinate
    4.   Ionic and covalent
11. An electrical refrigerator abstracts 2000 calories heat from ice trays. The coefficient of performances is 4 then work done by motor in calories is
    1.   4000
    2.   2000
    3.   500
    4.   8000
12. If one side of a square be represented by the vector 3i+4j+5k, then the area of the square is
    1.   25
    2.   13
    3.   12
    4.   50
13. The primary suffix for C ≡ C bond is:
    1.   -ane
    2.   -yne
    3.   -ene
    4.   -Alky
14. The oxidation state of Cl in the compound HClO₅ is
    1.   +7
    2.   +3
    3.   +9
    4.   +5
15. H₂S is more acidic than H₂​O, due to:
    1.   None of these
    2.   O is more electronegative than S
    3.   O−H bond is weaker than S−H bond
    4.   O−H bond is stronger than S−H bond
16. The threshold frequency of a metal is f∘. When light of frequency 4f∘ is incident on the metal, the maximum K.E. of emitted photoelectrons is:
    1.   3hf∘
    2.   hf∘
    3.   2hf∘
    4.   4hf∘
17. The number of unit vectors perpendicular to both a^ and b^ are :
    1.   0
    2.   2
    3.   ∞
    4.   1
18. The area of the triangle formed by the line 2x - 3y + 6 = 0with the coordinate axes is
    1.   2
    2.   12
    3.   3
    4.   6
19. Direction cosines of a line lying on both XZ and XY plane is
    1.   (1,1,1)
    2.   (0,1,0)
    3.   (1,0,0)
    4.   (0,0,1)
20. If the temperature of the sun is triple, the rate of energy received on earth will be increased by a factor:
    1.   27
    2.   3
    3.   81
    4.   9
21. e^x is vaild for
    1.   x ∊ R
    2.   none
    3.   –1≤x≤1
    4.   x>0
22. The eccentricity of the conic section 4(x² −y²)=1 is
    1.   √2
    2.   2
    3.   1
    4.   1/4
23. Above neutral temperature, thermo e.m.f.:
    1.   changes sign
    2.   increases with rise in temperature
    3.   is constant
    4.   decreases with rise in temperature
24. An electric tea kettle has two heating coils. When one of the coils is switched on, the kettle begins to boil in 6 minutes. When the other is switched on, the boiling begins in 8 minutes. In what time will the boiling begin, if both coils are switched simultaeously in series:
    1.   4 min
    2.   8 min
    3.   14 min
    4.   6min
25. if f(x)=2−3x/2x, then f⁻¹(x) equals to
    1.   2y+3/2
    2.   2/3+2x
    3.   2x+3/2
    4.   2/2x+3
26. f(x) = sin(1/x)​; can be made continuous at x = 0
    1.   f(0) =1
    2.   f(0) =-1
    3.   for no values of f(0)
    4.   f(0) =0
27. Which of these is not a metal that can be used to prepare hydrogen?
    1.   Aluminium
    2.   Iron
    3.   Copper
    4.   Zinc
28. Oxygen can show positive oxidation state in its compounds with
    1.   Sulphur
    2.   Hydrogen
    3.   Fluorine
    4.   Nitrogen
29. pH of 0.63% HCl solution is
    1.   2.1
    2.   3.2
    3.   0.77
    4.   2.3
30. Conjugate double bond is present in
    
    
    1.   1,3-Butadiene
    2.   Propylene
    3.   Isobutylene
    4.   Butylene