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Transcript of 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
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8/10/2019 MTSE india
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394 - Rajeev Gandhi Nagar Kota, Ph. No. 0744-2209671, 93141-87482, 93527-21564
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
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8/10/2019 MTSE india
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394 - Rajeev Gandhi Nagar Kota, Ph. No. 0744-2209671, 93141-87482, 93527-21564
IVRS No : 0744-2439051, 0744-2439052, 0744-2439053,www.motioniitjee.com,[email protected]
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
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8/10/2019 MTSE india
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394 - Rajeev Gandhi Nagar Kota, Ph. No. 0744-2209671, 93141-87482, 93527-21564
IVRS No : 0744-2439051, 0744-2439052, 0744-2439053,www.motioniitjee.com,[email protected]
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
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8/10/2019 MTSE india
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394 - Rajeev Gandhi Nagar Kota, Ph. No. 0744-2209671, 93141-87482, 93527-21564
IVRS No : 0744-2439051, 0744-2439052, 0744-2439053,www.motioniitjee.com,[email protected]
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
(C) 8 (D) None of these
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
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8/10/2019 MTSE india
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394 - Rajeev Gandhi Nagar Kota, Ph. No. 0744-2209671, 93141-87482, 93527-21564
IVRS No : 0744-2439051, 0744-2439052, 0744-2439053,www.motioniitjee.com,[email protected]
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
(C) 0 (D) None of these
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
(C) 4 (D) None of these
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 ,