| Mathematics |
|
1. The are (in square units) of the trainable formed by the lines x=0, y=0 and 3x+4y=12 is
|
| 1. 3 |
2. 4 |
| 3. 6 |
4. 12 |
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2. A
three digit number n is such that the last two digits of it are equal and
different from the first. The number of such n’s is:
|
| 1. 64 |
2. 72 |
| 3. 81 |
4. 900 |
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3. 
|
| 1. 1 |
2. 2 |
| 3. 0 |
4. 3 |
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4. m[-3 4]+n[4 –3] = [10 –11]  3m+7n
=
|
| 1. 3 |
2. 5 |
| 3. 10 |
4. 1 |
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5. The direction cosines of the line passing through (2,3-1) and the origin are:
|
1.  |
2.  |
3.  |
4.  |
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6. If the range of a random variable X is {0, 1, 2, 3, 4,…….} with P(X=k)=  then a =
|
1.  |
2.  |
3.  |
4.  |
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7. If  respectively
denote the moduli of the complex number –I,  and –1+I, then their increasing order is:
|
| 1. |
2.  |
3.  |
4.  |
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8. 
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| 1. 2e-1 |
2. 2e+1 |
| 3. 6e-1 |
4. 6e+1 |
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9. If x-y+1=0 meets the circle x2+y2+y-1=0 at A and B, then the equation of the circle with AB as diameter is:
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| 1. 2(x2+y2)+3x-y+1=0 |
2. 2(x2+y2)+3x-y+2=0 |
| 3. 2(x2+y2)+3x-y+3=0 |
4. x2+y2+3x-y+1=0 |
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10. A number ‘n’ is chosen at random from  . Let 
Then correct order of their probabilities is:
|
| 1.
P(a)<P(B)<P(C) |
2.
P(A)>P(B)>P(C) |
| 3.
P(B)<P(A)<P(C) |
4.
P(A)>P(C)>P(B) |
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11. If a point P moves such that its distances from the point A(1,1) and the line x+y+2=0 are equal then the locus of P is:
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| 1. A straight line |
2. A pair of straight lines |
| 3. A parabola |
4. An ellipse |
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12. For a binominal variate X with n=6, if P(X=2)=9P(X=4), then its variables is:
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1.  |
2.  |
3.  |
4. 4 |
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13. If PM is the perpendicular from P(2,3) onto the line x+y=3, then the coordinates of M are:
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| 1. (2,1) |
2. (-1, 4) |
| 3. (1,2) |
4. (4,-1) |
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14. 
|
| 1. 110 |
2. 115 |
| 3. 120 |
4. 135 |
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15. 
|
1.  |
2.  |
3.  |
4.  |
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16. The equation of the straight line perpendicular to 5x-2y=7 and passing through the point of intersection of the lines 2x+3y=1 and 3x+4y=6 is:
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| 1. 2x+5y+17=0 |
2. 2x+5y-17=0 |
| 3. 2x-5y+17=0 |
4. 2x-5y=17 |
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17. 
|
1.  |
2.  |
3.  |
4.  |
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18. The Cartesian form of the polar equation  is:
|
| 1. x=2y |
2. y=2x |
| 3. x=4y |
4. y=4x |
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19. 
|
1.  1 |
2. 0 |
| 3. 2 |
4. 4 |
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20. In a 
|
| 1. a |
2. b |
| 3. c |
4. 0 |
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| Chemistry |
|
21. (CH3)2 CH - CH2Cl is
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| 1. A primary alkyl halide |
2. A secondary alkyl halide |
| 3. A tertiary alkyl halide |
4. A halogen derivative of Straight chain alkane |
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22. The elctrolyte used in Castners process of sodium extraction is
|
| 1. Aqueous Na2CO3 |
2. Aqueous NaOH |
| 3. NaCl + CaCl2 |
4. Fusd anhydrous NaOH |
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23. The reagent used for converting benzene to ethyl benzene is
|
| 1. C2H5Cl, anhydrous AlCl3 |
2. C2H5Cl, aqueous AlCl3 |
| 3. C2H5OH, anhydrous AlCl3 |
4. C2H5Cl, SOCl3
|
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24. The compound with lowest boiling temperature is
|
| 1. H2O |
2. H2S |
| 3. H2Te |
4. H2Se |
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25. Which of the following possess acidic hydrogen?
|
| 1. C2H6 |
2. C2H4 |
| 3. C2H2 |
4. CH4 |
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26. Which one of the following series of lines is found in ultraviolet region of the atomic spectrum of hydrogen
|
| 1. Balmer series |
2. Paschen series |
| 3. Brackeet series |
4. Lyman series |
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27. The following equation represents the formation of carbon dioxide
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| 1. CO(g) + 1/2O2(g) -> CO2(g) |
2. C graphite + O2 (g) -> CO2 (g) |
| 3. CaCO3 (s) -> CaO(s)+ CO2(g) |
4. CO(g) + H2O (g) -> CO2 (g)+ H2 (g) |
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28. After longstanding in a sealed vessel, bleaching powder loses its bleaching action due to formation of
|
| 1. CaO,Cl12 |
2. CaCl2,Ca(OCl)2 |
| 3. Ca(ClO3)2, CaCl2 |
4. CaCo3,Cl2 |
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29. The density of an ideal gas is 0.03 g.cm-3 . Its pressure is 106 g.cm-1 . sec-2. What is its RMS velocity I in cm. Sec-1)?
|
| 1. 103 |
2. 3 x 104 |
| 3. 108 |
4. 104 |
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30. The mass of one mole unit cell NaCl is
|
| 1. 58.5g |
2. 117g |
| 3. 234g |
4. 287g |
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31. 39/19 K and 40/20 Ca are
|
| 1. Isotopes |
2. Isobars |
| 3. Isotones |
4. Isodiaphers |
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32. Daltons law of partial pressures is not applicable for a gaseous mixture of
|
| 1. CO2, Cl2 |
2. N2, H2 |
| 3. CH3Cl |
4. CH4 |
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33. The half-life of a radio-isotope is 20 hours. If 14.14g of radio-isotope is taken, the amount of it left undecayed after 10 hours is
|
| 1. 5g |
2. 7.5g |
| 3. 10g |
4. 8g |
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34. pH of the aqueous solution of 0.1 MCH3COONa is
|
| 1. 0 |
2. 7 |
| 3. <7 |
4. >7 |
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35. Two de Broglie waves are present in a stationary state of H – atom. The radius of that stationary state is
|
| 1. 2.12 Ao |
2. 0.53 Ao |
| 3. 4.77 Ao |
4. 8.84 Ao |
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36. Aniline reacts with .. to yield… as the final product.
|
| 1. bromine,2 – bromoaniline |
2. bromine,2,4,6 - tribromoaniline |
| 3. chloroform / KOH, Phenyl cyanide |
4. acetyle chloride, benzanilide |
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37. Which of the following compounds possess zero dipolemoment?
|
| 1. CHCl3 |
2. CH2Cl2 |
| 3. CHCl |
4. CH4 |
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38. Ethanol vapours when passed over heated Cu at 300oC forms
|
| 1. C2H6 |
2. C2H5OC2H5 |
| 3. CH3CHO |
4. CH3COOH |
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39. The functional isomer of ethyl alcohol is
|
| 1. Diethy ether |
2. Dimethyl ether |
| 3. Methyl viny ether |
4. Ethylene oxide |
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40. The Standard reduction potentials of Ag. Cu, Co and Zn are 0.799, 0.337 -- 0.277 and -- 0.762 V respectively. Which of the following cells will have maximum cell e.m.f ?
|
| 1. Zn|Zn2+(1M) ||Cu2(1M)|Cu |
2. Zn|Zn2+(1M)||Ag+ (1M)|Ag |
| 3. Cu|Cu2+(1M)||Ag+ (1M)|Ag |
4. Zn|Zn2+(1M) ||Co2(1M)|Co |
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| Physics |
|
41. The
focal length of an equi-convex lens is greater than the radius of curvature of
any of the surfaces. Then the refractive index of the material of the lens is:
|
| 1. Greater than zero but less tthan 1.5 |
2. Greater than 1.5 but less than 2.0 |
| 3. Greater then 2.0 but less than 2.5 |
4. Greater than but less than 3.0 |
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42. In a
meter bridge a 30  resistance is connected in the left
gap a pair of resistances P and Q in the right gap. Measured from the left, the
balance point is 37.5 cm when P and Q are in series and 7.14 cm when they are
parallel. The value of P and Q (in ) are:
|
| 1. 40,10 |
2. 35,15 |
| 3. 30,20 |
4. 25,25 |
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43. A
thin wire ring of 3 cm radius rests flat on the surface of a liquid. The pull
required to raise the ring before the film breaks is 30.14 X 10-3N
more than it is after. The surface tension of the liquid (in Nm-1)
is:
|
| 1. 80 x 10-3 |
2. 87 x 10-3 |
| 3. 90 x 10-3 |
4. 98 x 10-3 |
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44. Fraunhofer lines are produced by the absorption
of light in:
|
| 1. The chromosphere of the sum |
2. The photosphere of the sun |
| 3. The atmosphere of the earth |
4. The ionosphere of the earth |
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45. The center of mass of three particles of masses ikg, 2kg and 3kg is at (2, 2, 2). The position of the fourth mass of 4 kg to be placed in the system so that the new center of mass is at (0, 0 , 0) is:
|
| 1. (-3,-3,-3) |
2. (-3,3,-3) |
| 3. (2,3,-3) |
4. (2,-2,3) |
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46. Particles and their anti-particles have:
|
| 1. The same and their masses but opposite spins |
2. The same masses but opposite magnetic moments. |
| 3. The same masses and same magnetic moments. |
4. Opposite spins and same magnetic moments. |
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47. A machine gun fires 240 bullets per minute. If the mass of each bullet is 10g and the velocity of the bullets is 600 ms-1, the power (in kW) of the gun is:
|
| 1. 43200 |
2. 432 |
| 3. 72 |
4. 7.2 |
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48. A 6V
cell with 0.5 internal
resistance a 10V cell with 1 internal resistance and a 12 external
resistance are connected parallel. The current (in amperes) through the 10V
cell is :
|
| 1. 0.60 |
2. 2.27 |
| 3. 2.87 |
4. 5.14 |
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49. Assertion
(A):Propagation of light through an optical fibre is due to total internal
reflection taking place at the core-clad interface.
Reason
(R):Refractive index of the material of the core of the optical fibre is greater than that of air.
|
| 1. Both (A) and (R) are true and (R) is the correct explanation of (A) |
2. Both (A) and (R) are true but (R) is not the correct explanation of (A) |
| 3. (A) is true but (R) is false |
4. (A) is false but (R) is true |
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50. A 4  F capacitor is
charged by a 200 V battery. It is then disconnected from the supply and is
connected to another uncharged 2F capacitor. During the process, loss
of energy (in J) is:
|
| 1. Zero |
2. 5.33x10-2 |
| 3. 4x10-2 |
4. 2.67x10-2 |
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51. Degenereate electron pressure will not be sufficient to prevent core collapse of white dwarf if its mass becomes n times of our solar mass. Value of ‘n’ is:
|
| 1. 0.5 |
2. 0.8 |
| 3. 1 |
4. 1.4 |
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52. The
equation of trajectory of a projectile is  .If
we assume g=10 ms-2, the range of projectile (in meters) is:
|
| 1. 36 |
2. 24 |
| 3. 18 |
4. 9 |
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53. At a
given instant of ttime the position vector of a particle moving in a circle
with a velocity  . Its angular velocity at that time is:
|
1.  |
2.  |
3.  |
4.  |
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54. The
minimum force required to move a body up an inclined plan is three times the
minimum force required to prevent it from sliding down the plane. If the
coefficient of frinction between the body and the inclined plane is  , the angle of the inclined plane is:
|
| 1. 60 |
2. 45 |
| 3. 30 |
4. 15 |
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55. A 4 F capacitor is
charged by a 200 V battery. It is then disconnected from the supply and is
connected to another uncharged 2F capacitor. During the process, loss
of energy (in J) is:
|
| 1. Zero |
2. 5.33x10-2 |
| 3. 4x10-2 |
4. 2.67x10-2 |
| |
56. An n-p-n transistor power amplifier in C-E
configuration gives:
|
| 1. Voltage amplification only |
2. Current amplification only |
| 3. Both current and voltage amplifications |
4. Only power gain of unity |
| |
57. If two
identical bar magnets, each of length l pole strength m and magnetic moment
M are placed perpendicular to each other with their unlike poles in contact,
the magnetic moment of the combination is:
|
1.  |
2.  |
3.  |
4. 2M |
| |
58. The
ratio of specific heats of a gas is  . The change in internal energy of
one mole of the gas when the volume changes from V to 2V at constant pressure
‘P’ is:
|
1.  |
2. PV |
3.  |
4.  |
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59. The tyre of a motor car contains air at 150C. if the temperature increases to 350C, the approximate percentage increase in pressure
is (ignore the expansion of tyre)
|
| 1. 7 |
2. 9 |
| 3. 11 |
4. 13 |
| |
60. Consider
the following statements (A) and (B) and indentify the correct answer given
below:
A Peltier
coefficient is numerically equal to the potential difference across the
junctions of the thermocouple through which current is following.
B.According
to Thomson, energy is neither absorbed nor evolved at the junction of a
thermocouple but is observed or evolved only along the lengths of both the conductors.
|
| 1. Both (A) and (B) are true |
2. Both (a) and (B) are false |
| 3. (A) is true but (B) is false |
4. (A) is false but (B) is true |
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