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