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