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Question Bank

Qualifying Examination for ITI

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Physics

1. While studying diffraction by one wire, if diameter of wire is increased then fringe width is :(a) Increased (b) Decreased(c) Not changed (d) All of these.

2. On charging a soap bubble, its volume:(a) Increases (b) Decreases(c) Remains the same (d) Nothing can be said

3. `G’ on a planet does not depend on –(a) Its Shape (b) Its mass(c) Its density (d) None of these

4. The Dimensions of surface tension are --(a) M1L1T-2 (b) M1L0T-2

(c) M1L2T-1 (d) M1L2T-2

5. In real gas the internal energy depends on –(a) Temperature (b) Pressure(c) Volume (d) None of these

6. Discovery of positive rays are helpful in experiments of –(a) Proton (b) Isotopes(c) Electrons (d) α –particles

7. if the moment of inertia of hollow sphere & solid sphere is equal then what is ratio between theirradius: –(a) 1 : 2 (b) 3 : 5

(c) 5 : 3 (d) 5 : 48. Lowest wave length of x-rays in continuous spectrum is

(a)hcev (b)

evch

(c)hevc (d)

chev

9. Angle between refraction & reflection is 1800 in --(a) air & glass (b) water & glass(c) air & water (d) water & glass & air

10. The process in which the heat is transferred between neighboring parts of body through molecular

collision, without any flow of matter is known as

(a) convection (b) conduction

(c) radiation (d) none of these.11. The nucleus contains :

(a) only protons (b) only neutrons(c) only protons & neutrons (d) protons, electrons & neutrons

12. A transformer is used :(a) to get suitable DC Voltage (b) to get suitable AC voltage(c) to convert AC into DC (d) to convert DC into AC

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13. X-rays are :(a) a beam of positive particles (b) a beam of negative particles(c) a beam of 4n charged particles (d) none of above.

14. If radius of earth becomes half and the mass remains the same, the time period will be(a) 6 hours (b) 8 hours(c) 12 hours (d) 24 hours

15. If an electron moves towards another electron which is stationary then the potential energy will :(a) remain unchanged (b) decrease(c) increase (d) nothing can be said

16. Frequency of A.C. mains used in India is generally(a) 150 Hz (b) 60 Hz(c) 50 Hz (d) 40 Hz

17. Stethoscopes used by doctors is based on the phenomena of

(a) resource (b) reflection of sound waves

(c) interference of sound waves (d) none of these.18. Kirchoff’s Ist law is based on –

(a) Energy conservation (b) Charge conservation(c) Current conservation (d) None of the above

19. Find out the angle of projection if range is four times of maximum height.(a) 600 (b) 450

(c) 300 (d) 750

20. Energy is not transferred in —(a) Heat waves (b) Matter waves(c) Transfer waves (d) Stationary waves

21. Which bonding is found in electric conductors?(a) ionic (b) metallic(c) covalent (d) Vander Waals

22. What will be same for a photon and an electron of same wave length :(a) angular momentum (b) energy(c) velocity (d) momentum

23. A body cools from 800 C to 700 C in 6 minutes. Then in cooling from 700C to 600C, time taken willbe:(a) Less than 6 minutes (b) 6 minutes(c) more than 6 minutes (d) Insufficient information given

24. There is a rough black spot on a polished surface. It is heated to a temperature of 14000C, then—(a) black spot will be seen more bright (b) polish surface will be seen more bright(c) both will be seen equally bright (d) both will not shine

25. In a step up transformer ratio of number of turns in primary to secondary coil is 1:25. If inputvoltage is 230 volt and load current is 2 amp, then current in primary coil is –(a) 50 amp. (b) 25 amp.(c) 12.5 amp. (d) 6.25 amp.

26. Ratio of gravitational force and electrostatic force between two electrons is—(a) 10-36 (b) 10-39

(c) 10-42 (d) 10-47

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27. In an electric motor back e.m.f. is maximum: –(a) At the start of motor (b) At the stop of motor(c) Motor attained maximum speed (d) Same in all cases

28. Zone plate acts as –(a) Prism (b) Grating(c) Biprism (d) Lens

29. The best absorber of x-ray is –(a) Berillium (b) Copper(c) Gold (d) Lead

30. On a bulb is marked 60v and 10 watt. It is to be run with an A.C. source of 100 volt. Then inductanceof series coil required is –(a) 1.28 H (b) 2.15 H(c) 3.27 H (d) 3.89 H

31. To make P-type semi conductor (extrinsic) impurity used is –(a) Boren (b) Bismith(c) Arsanic (d) Phosphorus

32. Ionisation power of α and β is in the ratio :(a) 100 : 1 (b) 1 : 100(c) 1000 : 1 (d) 1 : 1000

33. The internal resistance of a cell does not depend on –(a) current drawn from cell (b) temperature of electrolyte(c) concentration of electrolyte (d) e.m.f. of the cell

34. The peak value of A.C. is 2 2 amp. Its apparent value (in amp.) is :(a) 1 (b) 2 (c) 4 (d) zero

35. At normal temperature, the degrees of freedom for a diatomic gas are –(a) 7 (b) 6 (c) 5 (d) 4

36. Ozone layer is important for us as this –(a) Prevents cooling of earth during night(b) Protects us from infrared rays coming from space(c) Protects us from meteoroids coming from space(d) Protects us from U.V. rays coming from space

37. The intensity of x-rays is controlled in collidge tube by –(a) Filament current(b) Potential difference between cathode and anti cathode(c) Both (a) & (b)(d) None of these

38. A normally incident ray is reflected at an angle of 900. The value of critical angle is –(a) 450 (b) 900 (c) 650 (d) 43.50

39. Waves used in sonography are –(a) Micro waves (b) Infrared waves(c) Sound waves (d) Ultra sonic waves

40. Increased capacitance can be obtained by connecting the capacitors is

(a) parallel (b) series

(c) series + parallel (d) none of these

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41. A person will get more quantity of matter in 1 kg. weight at –(a) Poles (b) Moon(c) Equator (d) Artificial satellite

42. A body is rolling on a horizontal plane such that its rotational K.E. is same as its translational K.E.the body is a –(a) Disc (b) Sphere(c) Cylinder (d) Ring

43. A liquid is to be heated under gravity conditions in space, the heat transfer takes place in thefollowing form –(a) Conduction (b) Convection(c) Radiations (d) It is not possible to heat liquid in zero gravity condition

44. Positive rays are beam of –(a) Positrons (b) Protons(c) x-particles (d) Positive ions

45. The unit of electric flux is –

(a) ampere (b) volt

(c) Coulomb (d) Joule

46. Which of the following is scalar –(a) electric potential (b) momentum(c) velocity (d) force

47. Dimensions of Torque are :(a) ML2T-1 (b) ML2T-2

(c) MLT-2 (d) ML-1T-1

48. if F = 5i + 3j , r = 2i – j then work done on the system is –(a) -7 Joule (b) 7 Joule(c) 10 Joule (d) -10 Joule

49. The weightlessness in a satellite is equivalent to :(a) zero g (b) no atmosphere(c) gravitylessness (d) free fall

50. The energy emitted by a body depends on :(a) temperature (b) nature of surface(c) area of cross-section (d) all of the above

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Answers1. [b] 11. [c] 21. [b] 31. [a] 41. [c]

2. [a] 12. [b] 22. [d] 32. [b] 42. [d]

3. [d] 13. [a] 23. [c] 33. [d] 43. [d]

4. [b] 14. [a] 24. [a] 34. [b] 44. [d]

5. [a] 15. [c] 25. [a] 35. [c] 45. [c]

6. [b] 16. [c] 26. [c] 36. [d] 46. [a]

7. [b] 17. [b] 27. [c] 37. [a] 47. [a]

8. [c] 18. [b] 28. [d] 38. [b] 48. [b]

9. [b] 19. [b] 29. [d] 39. [d] 49. [d]

10. [b] 20. [d] 30. [a] 40. [a] 50. [d]

Chemistry

1. Nitrous acid forms alcohol on reaction with --(a) Primary amine (b) Secondary amine(c) Tertiary Amine (d) A mide.

2. Thermoplastics are

(a) Polyethylene (b) cellulose

(c) both a & b (d) none of these

3. The compound which have minimum bond angle –(a) NH3 (b) CH4

(c) H2O (d) H2S4. Which element will form nitride –

(a) Li (b) Na(c) K (d) Rb

5. Which solution has maximum density –(a) 11 N Hcl (b) 36 N H2SO4

(c) 16 N HNO3 (d) 16 N CH3 COOH6. The blue colour of the liquid ammonia solution of metal is due to –

(a) Ammoniated cation (b) Ammoniated anion(c) Ammoniated electron (d) (a) & (b)

7. Which gas will formed when chloroform is exposed to air and light –(a) HCO Cl (b) CO Cl2(c) Cl2 (d) HOCl

8. The fertilizer which acidify the soil is :(a) Ammonium sulphate (b) Super phosphate of lime(c) Sodium acetate (d) Calcium nitrate

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9. The dimensions of pressure is equal to :(a) energy (b) force(c) energy per unit volume (d) force per unit volume.

10. Which of the following oxide can not work as reducing agent :(a) CO2 (b) NO2

(c) SO2 (d) ClO2

11. If a piece of metal is heated from one end, the another end also becomes warm, the reason is :(a) atomic mobility in metal(b) the movement of energized electrons to another part.(c) minor change in energy atoms(d) resistance of metal

12. The oxidation of glucose in the living cell is an important reaction. The number of ATP moleculesproduced from one molecule of glucose in cells is :(a) 18 (b) 12(c) 38 (d) 28

13. Mercury is only metal present as liquid at 00 c because of its :(a) High atomic weight(b) Low ionization potential(c) High ionization energy & weak metallic bond(d) High vapour pressure

14. Compound containing both ionic and covalent bond is –(a) H2O (b) SO2

(c) NH4Cl (d) NH3

15. Electropositive character in a period from left to right –(a) Increases (b) Decreases(c) First increases then decreases (d) First decreases then increases

16. Element with atomic number 33 is related to –(a) Third period and IV A group (b) Fourth period & III A group.(c) Fourth Period & V A group (d) Third period & V A group

17. Malachite is the Ore of –(a) Fe (b) Cu(c) Al (d) Ag

18. Most of alloys are made from the following type of elements –(a) S-block (b) p-block(c) d-block (d) f-block

19. Which of the following is insoluble in concentrated Sulphuric acid(a) n-hexane (b) Hexane(c) Benzene (d) Ethanol

20. Ethylene can be prepared by the electrolysis of aqueous solution of –(a) Potassium fumerate (b) Potassium succinate(c) Potassium maleate (d) Potassium formate

21. In the extraction of copper, ore is heated in the presence of air at high temperature. This process iscalled:(a) Smelting (b) Calcination(c) Roasting (d) Distillation

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22. For an electron n = 2 and l = 1, the total magnetic quantum number are –(a) 3 (b) 2(c) 1 (d) zero

23. The aqueous solution of salt is alkaline, salt is made up of –(a) Strong acid & strong base (b) strong acid & weak base(c) Weak acid & Weak base (d) Weak acid & strong base

24. Electronic configuration of Fe is –(a) 2, 8, 14, 2 (b) 2, 8, 8, 6, 2(c) 2, 6, 18 (d) None of these

25. Brass is –(a) An alloy (b) Transition metal(c) A non metal (d) An element

26. Which of the following compounds is colourless & odourless –(a) CH3 NC (b) CHI3

(c) CH Cl3 (d) CF2Cl227. The density of ice is less than that of water because –

(a) Ice floats on water(b) Ice has clusters of molecules and its structure is three dimensional(c) H-bonds are not present in ice(d) water is a polar solvent.

28. The thin layer of which of the following is deposited in the galvanized iron :(a) Aluminium (b) Zinc(c) Tin (d) White Lead

29. Which is the main constituent of valuable stone `Nilam’ –(a) Al2O3 (b) Ag2O(c) Cu2O (d) MnO

30. Fused sodium chloride can conduct electricity because of –(a) Free atoms (b) Free molecules(c) Free ions (d) Free electrons

31. Carbon tetrachloride is used as –(a) An anaesthetic and antiseptic (b) Refrigerant and fire extinguisher(c) Industrial solvent and fire extinguisher (d) Dry cleaner for clothes

32. All are polymers except –(a) Taflon (b) Nylon(c) Orlon (d) Phorone

33. Vinegar is –(a) 6-10% Ethyl alcohol (b) 8-10% Acetic acid(c) 10% Formic acid (d) Glacial acetic acid

34. Water gas is a mixture of –(a) One mole CO + Two moles H2 (b) Two moles CO + one mole H2

(c) One mole CO + one mole water vapour (d) One mole CO + one mole H2

35. The prefix word `alkali’ for alkaline metals shows –(a) Ashes of plants (b) Lustre of silver(c) Melallic nature (d) Active metal

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36. The gas evolved in the fermentation process –(a) O2 (b) CO2 (c) N2 (d) SO2

37. Cu can be displaced from the solution of copper sulphate by the following metal :(a) Fe (b) Ag (c) Au (d) Pt

38. The element which has the highest tendency to give up electrons is –(a) Be (b) B (c) Mg (d) Rb

39. Benzene was discovered by :(a) Faraday (b) Priestley(c) Kekule (d) Hoffman

40. K2MnO4 reacts with O3 forming :(a) KMnO4 (b) Mn (OH)2

(c) MnO2 (d) None41. Bond order in O2 is –

(a) 1 (b) 2 (c) 1.5 (d) 2.542. pH of rainy water is –

(a) 7 (b) 14 (c) 0 (d) 1043. Diluted NaCl is –

(a) Basic (b) Acidic(c) Neutral (d) Strong basic

44. Na conducts electricity because –(a) It releases hydrogen with water (b) It contains mobile electrons(c) It has hydration energy (d) It has combustion energy

45. When CaO is dissolved in water, heat is evolved increasing temperature, solubility will –(a) Increase (b) Unchange(c) Decrease (d) First increases then decreases

46. Presence of oil in boiler water causes(a) priming (b) foaming(c) scale formation (d) none of these

47. Alcohol does not denatured with –(a) Vitamin (b) Amyl alcohol(c) Castrol oil (d) Aneline

48. Purification of organic compounds is justified with –(a) Molecular weight (b) Melting point(c) Density (d) Solubility in water

49. Which of the following metal has highest density –(a) Ir (b) Os (c) Pb (d) Hg

50. Cathode rays are –(a) + ve rays (b) Neutral rays(c) Helium (d) Electron waves

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Answers

1. [a] 11. [b] 21. [c] 31. [c] 41. [b]

2. [a] 12. [c] 22. [a] 32. [d] 42. [a]

3. [c] 13. [c] 23. [d] 33. [b] 43. [c]

4. [a] 14. [c] 24. [a] 34. [d] 44. [b]

5. [b] 15. [b] 25. [a] 35. [a] 45. [b]

6. [c] 16. [c] 26. [d] 36. [b] 46. [b]

7. [b] 17. [b] 27. [b] 37. [a] 47. [a]

8. [a] 18. [c] 28. [b] 38. [d] 48. [a]

9. [c] 19. [a] 29. [a] 39. [a] 49. [a]

10. [a] 20. [b] 30. [c] 40. [a] 50. [d]

Mathematics1. If the base of an equilateral triangle is zyx =+ and vertex is (2, -1), then the length of each side will

be :

(a)32 (b)

23 (c)

23 (d)

32

2. Five digits numbers are formed by using 1, 2, 4, 5, 6 and 8. Then the probability that selectednumbers have even numbers at the extremes is :

(a)73 (b)

72

(c)74 (d) None of these

3. The value of ò -3

0

|)2(| x dx is :

(a)25 (b)

72 (c)

23- (d)

23

4. The value of ò-12xe

dx is :

(a) Sin-1 (ex) + c (b) Cos-1 (ex) + c(c) tan-1 (ex) + c (d) Sec-1 (ex) + c

5. By elementary transformation the rank of a matrix is

(a) Unaltered (b) Altered (c) may or may not alter (d) none of these

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6. Projection of vector kji 232 -+ on Vector kji ++ 2 is:

(a)143 (b)

142 (c)

141 (d) none of these

7. The polar of the focus of the parabola:(a) latus rectum (b) directrix(c) axis (d) none of these

8. Ifcb

a+

,ac

b+

,ba

c+

are in H.P., then a, b, c are in :

(a) G.P. (b) A.P. (c) H.P. (d) none of these

9. If the G.M. lies between 456 and41 then the fourth G.M. will be :

(a) –6 (b) 6 (c) --12 (d) 12

10. The number of words formed by the letters of word `MOBILE’ such that vowels are in the oddplaces is:(a) 30 (b) 36 (c) 20 (d) none of these

11. A bag contains 3 red, 4 white and 5 black balls. Three balls are drawn at random. The probabilitythat they are of different colours is :

(a)112 (b)

118 (c)

113 (d) none of these

12.0

lim®q

( ) qq cotcos is:

(a) -1 (b) 0 (c) 1 (d) none of these

13. The period of xx 22 cossin + is

(a) π (b) 2p (c) 2 π (d) none of these

14. Out of 10 given points 6 are in a straight line the number of possible triangles are –(a) 100 (b) 16 (c) 12 (d) 14

15. If A . B = A . C the difference of B , C and A are --(a) parallel (b) perpendicular(c) Coplanar (d) none of these

16. For what value of m, the ratio of roots of the equation 12x2 + mx + 5 = 0 is 3: 2(a) 10 5 (b) 5 10 (c) 50 (d) 25

17. Image of point (4, -3) in y = x is –(a) (-4, -3) (b) (3, -4)(c) (-3, 4) (d) (-3, -4)

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18. If sum of two unit vector is again a unit vector then angle between them is –

(a)3p (b)

32p (c)

2p (d)

4p

19. Total no. of lines which are equally inclined with the coordinate’s axes is –(a) 1 (b) 2 (c) 3 (d) 4

20. (1 + i)6 + (1 – i)6 equals –(a) 16i (b) 16 (c) 1 (d) 0

21. 15 men in a room shake hands with each other then the total no. of hand shakes are(a) 90 (b) 105 (c) 110 (d) 115

22. In determinant211324412

--

cofactor of the elements of second row are –

(a) 5, 1, 8 (b) 6, 0, -3(c) 5, 6, 4 (d) none of these.

23. If A & B are two invertible matrices, then the inverse of AB is equal to

(a) AB (b) BA (c) A-1 B-1 (d) B-1 A-1

24. If points (1, 2), (-1, x) and (2, 3) are collinear, then the value of x is –(a) 1 (b) 2 (c) 0 (d) -1

25. Which of the following differential equation is linear?

(a) 122

+=+÷øö

çèæ xy

dxdy

(c) xeydydxx =+

(b) xydxdy sin2 =+ (d) 32 -=+ yxy

dydx

26. If A = úû

ùêë

é--

1412

, B úû

ùêë

é2132

, and C= úû

ùêë

é1001

then A+B-C is equal to:

(a) úû

ùêë

é3523

(b) úû

ùêë

é5525

(c) úû

ùêë

é5325

(d) úû

ùêë

é5523

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27. In a plane out of 10 points 4 are collinear, then number of lines which can be formed by these pointsare:(a) 44 (b) 45 (c) 46 (d) 40

28. The probability, that in a leap year 53 Sundays are there, is :

(a)72 (b)

32 (c)

53 (d)

71

29. If vectors a = i + 2j – k and b = 2i + j + k then angle between a and b is :(a) 300 (b) 600 (c) 450 (d) 900

30. Sin 200 Sin 400 Sin 600 Sin 800 is equal to

(a) 163- (b) 163 (c) 165- (d) 165

31. If A = 300, c = 10 in Δ ABC, right angled at C, then b is equal to –(a) 5 (b) 35 (c) 10 (d) none of these

32. If,123

123

1114 2

--=

xx

then value of x is-

(a) 6 (b) 7 (c) 8 (d) 11

33. A line passes through (2, 2) and is perpendicular to the line 3 x + y = 3. Its y intercept is –(a) 31 (b) 32(c) 1 (d) 34

34. for the equation:x + 2y + 3z = 1,2x + y + 3z = 2,5x + 5y + 9z = 4(a) There is no solution (b) there is only one solution(c) There exist infinite solutions (d) none of these

35. The sum of infinity series is..........510

57

541 32 ++++

(a) 3516 (b) 811 (C) 1635 (d) 169

36. The eccentricity of a hyperbola x2-y2 = 4 is(a) 2 (b) 22 (c) 3 (d) 32

37. Ifcbax

+- +

acbx

+- +

bacx

+- =3, then value of x is :

(a) a+b+c (b) abc (c) 1 (d) 0

38. The value of ò +

2

03tan1

p

xdx is:

(a) 0 (b) 1 (c) 4p (d) 2

p

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39. If the sum of first n natural numbers is 1/5 times the sum of their squares, then the value of n is:(a) 5 (b 6 (c) 7 (d) 8

40. If ÷øö

çèæ-+

=xxy

11 then

dxdy is equal to:

(a) 21/ xy - (b) 1/ 2 -xy (c) 1/ 2 -xy (d) None of the above

41. The maximum value of xx cossin + is:

(a) 2 (b) 2 (c) 2/1 (d) 1

42. The point of inflextion for the curve y = x5/3 will be:(a) (0, 0) (b) (1, 0)(c) (0, 1) (d) Does not exit

43. Number of ways a cricket eleven can be selected from 17 players in which 5 players are bowler andteam must have 2 bowlers are :(a) 1100 (b) 2200 (c) 3300 (d) 4400

44. Out of 14 players there are 5 bowlers. Then the total number of ways of selecting a team of 11players of which at least 4 are bowlers are :(a) 265 (b) 263 (c) 264 (d) 275

45. In a G.P. (m+n)th term is a and (m-n)th term is 4 then mth term will be :(a) 6 (b) 1/6(c) -6 (d) none of these

46. The two curves x3-3xy2+2 = 0 and 3x2y-y3-2=0 :(a) cut at right angles (b) touch each other(c) cut at an angle π/3 (d) cut at an angle π/4

47. If (a-b)2, (b-c)2, (c-a)2 are in A.P. thenba -

1 ,cb -

1 ,ac -

1 will be :

(a) in A.P. (b) in G.P. (c) in H.P. (d) none of these

48. A tree is broken by wind; its upper part touches the ground at a point 10 metre from the foot of thetree and makes an angle of 450 with the ground. The entire length of the tree is

(a) 10 (1+ 2 ) metre (b) 10 ÷÷ø

öççè

æ+

231

(c) 15 metre (d) 20 metres

49. ò ++

xxe x

cos1)sin1( dx is equal to –

(a) xe x

21tan (b) xe x cot (c) xtanlog (d) xlogsin

50. If A+B+C = π, then the value of tan A + tan B + tan C is given by:(a) -1 (b) 1(c) cot A cot B cot C (d) tan A tan B tan C

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Answers

1. [a] 11. [c] 21. [b] 31. [b] 41. [b]

2. [b] 12. [c] 22. [b] 32. [a] 42. [d]

3. [a] 13. [b] 23. [d] 33. [d] 43. [b]

4. [b] 14. [a] 24. [c] 34. [b] 44. [c]

5. [a] 15. [b] 25. [d] 35. [c] 45. [a]

6. [b] 16. [b] 26. [a] 36. [a] 46. [a]

7. [b] 17. [c] 27. [d] 37. [a] 47. [a]

8. [b] 18. [b] 28. [a] 38. [c] 48. [a]

9. [d] 19. [d] 29. [b] 39. [c] 49. [a]

10. [b] 20. [d] 30. [b] 40. [a] 50. [d]