MTSE india

8/10/2019 MTSE india

1/6

394 - Rajeev Gandhi Nagar Kota, Ph. No. 0744-2209671, 93141-87482, 93527-21564

IVRS No : 0744-2439051, 0744-2439052, 0744-2439053, www. motioniitjee.com , hr.motioniitjee@gmail. com

CANDIDATES NAME: ______________________________________________

DURATION: 3 HOURS TOTAL QUESTION: 75 MAXIMUM MARKS : 225

1. The paper consists of three sections :- Physics (25 Questions), Chemistry (25 Questions) and

Mathematics (25 Questions).

2. All questions are compulsory and carry three marks each. One mark is deducted for wrong answer.

3. There is only one correct answer, hence mark one choice only.

4. Darken your choice in OMR Sheet with Blue/Black Ball Point Pen.

5. Rough work should be in the blank space provided in the question paper.

6. Return the OMR Sheet to the invigilator at the end of the exam.

M.T.S.E.

EX

AM/

Motion

OpenScholarshipTest

M.T.S.E. EXAM / Motion Open Scholarship Test

QUESTION PAPER

1.A light ray falls on a mirror and deviates by

60 then the angle of reflection will be :

(A) 30 (B) 90

(C) 60 (D) 180

2. Choose the wrong option :

(A) i r

N

(B) i r

N

(C) i r

N

\\\\\\\\\\\\\

(D) ir

N

PHYSICS

3.An object is placed 20 cm from a convex mirror.

Its image is formed 12 cm from the mirror. Find the

focal length of the mirror.

(A) 25 cm (B) 30 cm

(C) 15 cm (D) 60 cm

4. If refractive index of water w.r.t. air is4

3, then

refractive index of air w.r.t. water will be

(A) 4 3 (B)

3

4

(C)4

3(D)

3

4

5. A swimming pool appears to be 2m deep. Its

actual depth is (for water = 1.33):

(A) 2.66 m (B) 2 m

(C) 2.34 m (D) 2.54 m


2/6


IVRS No : 0744-2439051, 0744-2439052, 0744-2439053,www.motioniitjee.com,[email protected]

6. In which figure lateral displacement will be larger

if a ray of light of same wavelength is incident on a

plane glass slab?

(A)

30

t (B)45

t

(C)60

t(D) Same in all cases

7. Which of the following statement is correct

(A) Sun appears reddish at the time of sunrise

and sunset?

(B) More scattering of light takes place during

morning

(C) Atmospheric refraction increases durationof day

(D) All are correct

8. Two lenses of power +5D and 5D are placed in

close contact. The focal length of the combination

is:

(A) Zero

(B)

(C) Zero or

(D) None of these

9. Focal length of coloured goggles (without

number) is

(A) Zero

(B) Infinity

(C) Between zero and infinity

(D) None of these

10. A thin lens is made with a material having

refractive index = 1.5. Both the sides are convex.

It is dipped in water (= 1.33). It will behave like

(A) Convergent lens

(B) A divergent lens

(C) A rectangular slab

(D) A prism

11. White light falls on a glass prism. The least

deviated colour is

(A) Violet (B) Orange

(C) Red (D) Yellow

12.Figure shows, current in a part of electrical circuit,

then the value of current I is -

1.3A

1A

I

2A

2A

(A) 1.7A (B) 3.7A

(C) 13A (D) 1.0A

13. A sure test of electrification is

(A) Attraction (B) Repulsion

(C) Friction (D) Induction

14. Lenzs law is a consequence of the law of

conservation of

(A) Energy (B) Momentum

(C) Angular Momentum(D) Charge and mass

15. Which of the following is not ac?

(A)

l

t (sec)

(amp)(B)

l

t(sec)

(amp)

(C)

l

t(sec)

(amp)(D)

l

t(sec)

(amp)

16. Which of the following is not a characteristic of

displacement ?

(A) It is always positive

(B) It has both magnitude and direction

(C) It can be zero

(D) Its magnitude is less than or equal the actual

path length of the object

17. For the velocity time graph shown in figure,what fraction is the distance covered by the body

in the last two seconds of the total distance covered

in all the seven seconds ?

Velocity(m/s)

Time (s)

70

(A) 1/2 (B) 1/4 (C) 1/3 (D) 2/3


3/6



18. Two Bodies in circular paths of radii 1 : 2 take

same time to complete their circles. The ratio of

their linear speeds is

(A) 1 : 2 (B) 2 : 1

(C) 1 : 3 (D) 3 : 1

19. A field gun of mass 1.5 tonnes fires a shell of

mass 15 kg with a velocity of 150 m/s. Calculate

the velocity of the recoil of the gun (m/s).

(A) 1.5 (B) 2

(C) 3 (D) 4

20. The mass of body is measured to be 12 kg on

the earth. Its mass on moon will be

(a) 12 kg (B) 6 kg

(C) 2 kg (D) 72 kg

21. Relative density of a solid is 0.6. It floats in

water with

(A) Whole of its volume inside water

(B) 60% volume inside water

(C) 60% volume outside water

(D) 40% volume inside water

CHEMISTRY

22. Two solids X and Y float on water X floats with

half of its volume submerged while Y floats with one

third of its volume out of water. The densities of X

and Y are in the ratio of

(A) 4 : 3 (B) 3 : 4

(C) 2 : 3 (D) 1 : 3

23. Two bodies of mass 1 kg and 4 kg possess equal

momentum. The ratio of their K.E. is

(A) 4 : 1 (B) 1 : 4

(C) 2 : 1 (D) 1 : 2

24. A body of mass 5 kg undergoes a change in

speed from 20 m/s to 0.20 m/s. The momentum

(A) increases by 99 kgm/s

(B) decreases by 99 kgm/s

(C) increases by 101 kgm/s

(D) decreases by 101 kgm/s

25. A body moving along circular path may have

(A) A constant speed

(B) A constant velocity

(C) No tangential velocity

(D) No radial acceleration

26. The chemical formula of baking powder is -(A) Na

2SO

4(B) NaHCO

3

(C) Na2CO

3(D) NaHSO

4

27. The processes of loss of water of crystallization

by hydrated salts is known as -

(A) Effervescence (B) Evaporation

(C) Efflorescence (D) Deliquescence

28. Which among the following will from amphoteric

oxide ?

(A) Copper (B) sulphur

(C) Aluminium (D) Silicon

29. Which of the following processes is used for

enrichment of bauxite ore ?

(A) Halls processes

(B) Bayers processes

(C) Magnetic separation

(D) Bessemerisation

30. The processes of protecting iron by coating it

with zinc is called -

(A) Smelting (B) Galvanization

(C) Rusting (D) corrosion

31. Stainless steel is usually made by alloying steel

with-

(A) Fe and Cu (B) Cu and Cr

(C) Cu and Ni (D) Cr and Ni

32. General formula of alkynes is -

(A) CnH

2n(B) C

nH

2n+2

(C) CnH

2n2(D) C

nH

2n+1

33. the chemical formula for Acetone is -

(A) CH3COOH (B) CH

3OH

(C) CH3NH

2(D) CH

3COCH

3


4/6



34. the unwanted material present in the ores mined

from earth is called -

(A) Ores (B) Minerals

(C) Gangue (D) None

35. Brass consists of -(A) Cu and Zn (B) Cu and Tin

(C) Lead and Tin (D) Cu, Ni, Zn

36. Convert 12 g of oxygen gas into moles-

(A) 1.33 moles (B) 0.375 moles

(C) 0.75 moles (D) None

37. When a metal is alloyed with ______, it is called

Amalgam

(A) Copper (B) Zinc

(C) Nickel (D) Mercury

38. Bleaching powder is -

(A) CaCl2

(B) Ca(OH)2

(C) CaOCl2

(D) Ca(NO3)

2

39. The valency of an element X is 1 and that of

oxygen is 2. What will the formula of the compound

formed by the combination of element X with oxygen.

(A) XO2

(B) X2O

(C) XO (D) None

40. Froth floatation method is generally employed

for -

(A) Carbonate ores (B) sulphide ores

(C) oxide ores (D) None

41. The number of valence electrons in a chloride

ion, Clare -

(A) 16 (B) 18

(C) 17 (D) 8

42. These are pleasant fuity smelling compound.

they are formed by the reaction of carboxylic acid

and alcohols.

(A) esters (B) aldehydes

(C) ketone (D) carboxylic acids

43. The IUPAC name of CH3COOC

2H

5is -

(A) Methyl ethanoate

(B) Methyl propanoate

(C) ethyl ethanoate (D) None

44. The IUPAC name of CH3C

CCH3 is -(A) 1-butene (B) 2 butene

(C) 1 butyne (D) 2 butyne

45. The IUPAC name of

CH CH2 2 2 2 3CH CCH CH

CH2

is -

(A) 2 propyl-1-butene

(B) 2 ethyl 1-butene

(C) 3 methyl-1-butene

(D) None

46. A white chemical compound becomes hard on

mixing proper quantity of water. It is also used in

surgery to maintain jointe in a fixed position. Name

the chemical compound.

(A) Plaster of paris (B) Baking powder

(C) Bleaching powder(D) washing soda

47. An element Z form an oxide ZO3what is the

valency of element Z.

(A) 3 (B) 2

(C) 6 (D) 8

48. Naphthalene balls disappear with time without

leaving behind any residue because it undergoes -

(A) Sublimation (B) evaporation

(C) condensation (D) Liquation

49. The molecular mass of C2H

5OH is-

[C = 12 u, H = 1u, O = 16u]

(A) 50 (B) 46

(C) 56 (D) 60

50. An organic compound is a constituent of wire

and beer. Name the compound

(A) ethyl alcohol (B) Methyl alcohol

(C) acetic acid (D) propanone


5/6



MATHEMATICS

51. The largest number which exactly divides

70, 80, 160, 105 is

(A) 7 (B) 5

(C) 10 (D) None

52. When 2256is divided by 17 the remainder would

be

(A) 1 (B) 16

(C) 14 (D) None of these

53. If N is the sum of first 13,986 prime numbers,

then N is always divisible by

(A) 6 (B) 4


54. In order that the number 1 y3 y6 be divisible

by 11, the digit yshould be

(A) 1 (B) 2

(C) 5 (D) 6

55. The number 313 310is divisible by

(A) 2 and 3 (B) 3 and 10

(C) 2, 3 and 10 (D) 2, 3 and 13

56. A positive integer is said to be a prime if it is

not divisible by any positive integer other than itself

and one. Let p be a prime number strictly greater

than 3. Then, when p2+ 17 is divided by 12, the

remainder is

(A) 6 (B) 1

(C) 0 (D) 8

57. If one root of the polynomial 5x2+ 13 x + k is

reciprocal of the other, then the value of k is

(A) 0 (B) 5

(C) 6 (D) 1/6

58. If the expression 16x4 24x3+ 41x2 nx + 16

is a perfect square, then the value of n is

(A) 12 (B) 12

(C) 24 (D) 24

59. If , are the zeroes of the polynomial

f(x) = x2 p (x + 1) C, then (+ 1) (+ 1) is

equal to

(A) 1 + C (B) 1 C

(C) C 1 (D) C

60. x & y are 2 different digits. If the sum of the

two digit numbers formed by using both the digits is

a perfect square, then find x + y.

(A) 10 (B) 11

(C) 12 (D) 13

61. If |x + 3| > 2, then the only values of x are

(A) x > 1 (B) x < 1

(C) x < 5

(D) x > 1 or x < 5

62. a, b, c, (a > c) are the three digits, from left to

right of a three digit number. If the number with

these digits reversed is subtracted from the original

number, the resulting number has the digit 4 in its

units place. The other two digits from left to right

are

(A) 5 and 4 (B) 5 and 9

(C) 4 and 5 (D) 9 and 5

63. If a, b, c R, roots of the equation (x a)

(x b) + (x b) (x c) + (x c) (x a) = 0 are

equal if and only if

(A) a = b = c

(B) a = 0, b = 1, c = 1

(C) a = 1, b = 0, c = 1

(D) a 1, b = 1, c = 0

64. The condition for equation x2 bx + c = 0 to

have two consecutive integers as its roots is

(A) b2 c2= 1 (B) b2 4c = 1

(C) c2 4b2= 1 (D) b = c


6/6



65. What is the condition for the roots of

ax2+ bx + c = 0 to be in the ratio of p : q ?

(A) a2c2(p + q) = p2q2b

(B) ac (p + q)2= pqb2

(C) pq(a + c)2= acb2

(D) p2q2(a + c) = a2c2b

66. If x = 2 + 22/3+ 21/3, then x3 6x2+ 6x =

(A) 3 (B) 2

(C) 1 (D) None

67. If Sn= nP +

2

1n (n 1) Q, where S

ndenotes

the sum of the first n terms of an A.P., then the

common difference is

(A) P + Q (B) 2P + 3Q

(C) 2Q (D) Q

68. Ifnn

1n1n

ba

ba

+

+ ++

be the A.M. of a and b, then n =

(A) 1 (B) 1


69. If a1, a

2, .......... a

n+1are in A.P., then

1nn3221aa1

....aa1

aa1

+

+++ is :

(A)1n1

aa1n

+

(B)

1n1aa1

+

(C) 1n1aa

1n

+

+

(D) 1n1aa

n

+

70. If the ratio of the sum of m terms and n terms

of an AP be m2: n2, then what will be the ratio of its

mthand nthterms ?

(A) (2m 1) : (2n 1)

(B) (2m + 1) : (2n + 1)

(C) (2m 1) : ( 2n + 1)

(D) None of these

71. If b tan = a, the value of+

cosbsina

cosbsina

(A) 22ba

ba

+

(B) 22

ba

ba

+

+

(C) 22

22

ba

ba

+(D) 22

22

ba

ba

+

72. If tan + sin = m and tan sin = n, the

value of m2 n2is equal to

(A) 4 mn (B) mn2

(C) mn4 (D) n/m2

73. If 3 sin + 5 cos = 5, then the value of

| 5 sin 3 cos | is equal to

(A) 5 (B) 3


74. If + =2

and sin =

3

1, then sin is

(A) 32 (B) 322

(C)3

2(D)

4

3

75. If 7 sin = 24 cos ,

Documents

MTSE india