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 Page 1


NTSE STAGE – 1 
 
SOLUTION - PHYSICS 
 
1. (A) 
  For super conductors, 
   Resistivity ( ? ) = 0 
  ? Conductivity ( ? ) = 
11
0
? ? ?
?
 
 
2. (B) 
 SI unit of Magnetic field intensity (B) is “Tesla (T)” 
 
3. (A) 
 If Distance = 0; object is at rest 
  So, Displacement = 0 
 
4. (C) 
 Viscous force is fluid friction, it is non-conservative in nature. 
 
5. (C) 
 Escape velocity is given by 
e
V 2gR ? 
  
6
2 9.8 6.4 10 ? ? ? ? 
  = 11.2 km/s 
 
6. (B) When a satellite falls to an orbit of smaller radius, its orbital speed increases. 
 Hence its K.E. will increase. 
 
7. (B) 
  
 Ray bends twice 
 
8. (A) 
Transverse waves can not exist in a gas medium. Hence waves inside gas are always 
longitudinal. 
 
9. (D) 
 Petroleum 
 
10. (A) 
 Moon 
 
11. (D) 
  
 
12. (C) 
 All Jovian planets have rings around them. 
 i.e. Jupiter, Saturn, Uranus, Neptune. 
 
13. (C) 
 1 kWh = (1000 W) × (3600s) = 3.6 × 10
6
 Ws = 3.6 × 10
6
 J   
Page 2


NTSE STAGE – 1 
 
SOLUTION - PHYSICS 
 
1. (A) 
  For super conductors, 
   Resistivity ( ? ) = 0 
  ? Conductivity ( ? ) = 
11
0
? ? ?
?
 
 
2. (B) 
 SI unit of Magnetic field intensity (B) is “Tesla (T)” 
 
3. (A) 
 If Distance = 0; object is at rest 
  So, Displacement = 0 
 
4. (C) 
 Viscous force is fluid friction, it is non-conservative in nature. 
 
5. (C) 
 Escape velocity is given by 
e
V 2gR ? 
  
6
2 9.8 6.4 10 ? ? ? ? 
  = 11.2 km/s 
 
6. (B) When a satellite falls to an orbit of smaller radius, its orbital speed increases. 
 Hence its K.E. will increase. 
 
7. (B) 
  
 Ray bends twice 
 
8. (A) 
Transverse waves can not exist in a gas medium. Hence waves inside gas are always 
longitudinal. 
 
9. (D) 
 Petroleum 
 
10. (A) 
 Moon 
 
11. (D) 
  
 
12. (C) 
 All Jovian planets have rings around them. 
 i.e. Jupiter, Saturn, Uranus, Neptune. 
 
13. (C) 
 1 kWh = (1000 W) × (3600s) = 3.6 × 10
6
 Ws = 3.6 × 10
6
 J   
 
 
SOLUTION – CHEMISTRY 
 
 
14. (B) 
 Milk : Because it is only colloidal solution among them. 
 
15. (D) 
 Soda water : Homogeneous solution of liquid water and CO 2 dissolved in it under pressure 
 
16. (A) 
 MgCl2 : Magnesium chloride 
 
17. (C) 
Isotopes are those chemical species which have same atomic number (i.e. number of 
proton and number of electrons) but different atomic mass. 
 
18. (B) 
 Electronic configuration of Cl
-
 is 2, 8, 8 
 
19. (D) 
 Electronic configuration of Na is 2, 8, 1 as its atomic number is 11 
 
20. (A) & (B) 
 At 0ºC water can exist in both i.e. solid and liquid state so both a and b are correct. 
 (most appropriate answer is (A) among all options) 
 
21. (A) 
 Homogeneous solution 
 
22. (A) 
 Fractional distillation (using difference in boiling point of gases) 
 
23. (B) 
 Cl
-
 chloride anion 
 
24. (A) 
 J.J. Thomson 
 
25. (A) 
 2n
2
 
 
26. (A) 
 Atomic number of C is 6 so its electronic configuration will be 2, 4 
 
 
  
Page 3


NTSE STAGE – 1 
 
SOLUTION - PHYSICS 
 
1. (A) 
  For super conductors, 
   Resistivity ( ? ) = 0 
  ? Conductivity ( ? ) = 
11
0
? ? ?
?
 
 
2. (B) 
 SI unit of Magnetic field intensity (B) is “Tesla (T)” 
 
3. (A) 
 If Distance = 0; object is at rest 
  So, Displacement = 0 
 
4. (C) 
 Viscous force is fluid friction, it is non-conservative in nature. 
 
5. (C) 
 Escape velocity is given by 
e
V 2gR ? 
  
6
2 9.8 6.4 10 ? ? ? ? 
  = 11.2 km/s 
 
6. (B) When a satellite falls to an orbit of smaller radius, its orbital speed increases. 
 Hence its K.E. will increase. 
 
7. (B) 
  
 Ray bends twice 
 
8. (A) 
Transverse waves can not exist in a gas medium. Hence waves inside gas are always 
longitudinal. 
 
9. (D) 
 Petroleum 
 
10. (A) 
 Moon 
 
11. (D) 
  
 
12. (C) 
 All Jovian planets have rings around them. 
 i.e. Jupiter, Saturn, Uranus, Neptune. 
 
13. (C) 
 1 kWh = (1000 W) × (3600s) = 3.6 × 10
6
 Ws = 3.6 × 10
6
 J   
 
 
SOLUTION – CHEMISTRY 
 
 
14. (B) 
 Milk : Because it is only colloidal solution among them. 
 
15. (D) 
 Soda water : Homogeneous solution of liquid water and CO 2 dissolved in it under pressure 
 
16. (A) 
 MgCl2 : Magnesium chloride 
 
17. (C) 
Isotopes are those chemical species which have same atomic number (i.e. number of 
proton and number of electrons) but different atomic mass. 
 
18. (B) 
 Electronic configuration of Cl
-
 is 2, 8, 8 
 
19. (D) 
 Electronic configuration of Na is 2, 8, 1 as its atomic number is 11 
 
20. (A) & (B) 
 At 0ºC water can exist in both i.e. solid and liquid state so both a and b are correct. 
 (most appropriate answer is (A) among all options) 
 
21. (A) 
 Homogeneous solution 
 
22. (A) 
 Fractional distillation (using difference in boiling point of gases) 
 
23. (B) 
 Cl
-
 chloride anion 
 
24. (A) 
 J.J. Thomson 
 
25. (A) 
 2n
2
 
 
26. (A) 
 Atomic number of C is 6 so its electronic configuration will be 2, 4 
 
 
  
SOLUTION – BIOLOGY 
 
27.  D 
28. B 
29. D 
30. B 
31. A 
32. D 
33. B 
34. D 
35. B 
36. D 
37. A 
38. B 
39. C 
40. C 
 
SOLUTION – SST 
 
 
 
 
  
41. B 
42. A 
43. C 
44. D 
45. C 
46. A 
47. A 
48. B 
49. C 
50. D 
51. A 
52. A 
53. C 
54. B 
55. C 
56. D 
57. C 
58. A 
59. B 
60. B 
61. C 
62. A 
63. A 
64. A 
65. D 
66. C 
67. A 
68. A 
69. B 
70. B 
71. B 
72. A 
73. C 
74. D 
75. A 
76. C 
77. B 
78. A 
79. D 
80. B 
Page 4


NTSE STAGE – 1 
 
SOLUTION - PHYSICS 
 
1. (A) 
  For super conductors, 
   Resistivity ( ? ) = 0 
  ? Conductivity ( ? ) = 
11
0
? ? ?
?
 
 
2. (B) 
 SI unit of Magnetic field intensity (B) is “Tesla (T)” 
 
3. (A) 
 If Distance = 0; object is at rest 
  So, Displacement = 0 
 
4. (C) 
 Viscous force is fluid friction, it is non-conservative in nature. 
 
5. (C) 
 Escape velocity is given by 
e
V 2gR ? 
  
6
2 9.8 6.4 10 ? ? ? ? 
  = 11.2 km/s 
 
6. (B) When a satellite falls to an orbit of smaller radius, its orbital speed increases. 
 Hence its K.E. will increase. 
 
7. (B) 
  
 Ray bends twice 
 
8. (A) 
Transverse waves can not exist in a gas medium. Hence waves inside gas are always 
longitudinal. 
 
9. (D) 
 Petroleum 
 
10. (A) 
 Moon 
 
11. (D) 
  
 
12. (C) 
 All Jovian planets have rings around them. 
 i.e. Jupiter, Saturn, Uranus, Neptune. 
 
13. (C) 
 1 kWh = (1000 W) × (3600s) = 3.6 × 10
6
 Ws = 3.6 × 10
6
 J   
 
 
SOLUTION – CHEMISTRY 
 
 
14. (B) 
 Milk : Because it is only colloidal solution among them. 
 
15. (D) 
 Soda water : Homogeneous solution of liquid water and CO 2 dissolved in it under pressure 
 
16. (A) 
 MgCl2 : Magnesium chloride 
 
17. (C) 
Isotopes are those chemical species which have same atomic number (i.e. number of 
proton and number of electrons) but different atomic mass. 
 
18. (B) 
 Electronic configuration of Cl
-
 is 2, 8, 8 
 
19. (D) 
 Electronic configuration of Na is 2, 8, 1 as its atomic number is 11 
 
20. (A) & (B) 
 At 0ºC water can exist in both i.e. solid and liquid state so both a and b are correct. 
 (most appropriate answer is (A) among all options) 
 
21. (A) 
 Homogeneous solution 
 
22. (A) 
 Fractional distillation (using difference in boiling point of gases) 
 
23. (B) 
 Cl
-
 chloride anion 
 
24. (A) 
 J.J. Thomson 
 
25. (A) 
 2n
2
 
 
26. (A) 
 Atomic number of C is 6 so its electronic configuration will be 2, 4 
 
 
  
SOLUTION – BIOLOGY 
 
27.  D 
28. B 
29. D 
30. B 
31. A 
32. D 
33. B 
34. D 
35. B 
36. D 
37. A 
38. B 
39. C 
40. C 
 
SOLUTION – SST 
 
 
 
 
  
41. B 
42. A 
43. C 
44. D 
45. C 
46. A 
47. A 
48. B 
49. C 
50. D 
51. A 
52. A 
53. C 
54. B 
55. C 
56. D 
57. C 
58. A 
59. B 
60. B 
61. C 
62. A 
63. A 
64. A 
65. D 
66. C 
67. A 
68. A 
69. B 
70. B 
71. B 
72. A 
73. C 
74. D 
75. A 
76. C 
77. B 
78. A 
79. D 
80. B 
 
MATHS 
 
 
81. (D) 
 q0 ? 
 
82. (A) 
 p(n) = 2n +1 
  2n + 1 = 0 
  x = -1/2 
 
83. (D) 
 ? 
 
84. (A) 
 P Q R S 9 0 º ? ? ? ? ? ? ? ? 
 PQRS is rectangle 
 
85. (D) 
 V = 15a
3
 = 15 × 3
3
 = 405 
 
86. (B) 
 
87. (C) 
 Mean of 
th th
nn
and 1
22
? ? ? ?
?
? ? ? ?
? ? ? ?
 term 
 
88. (C) 
 
89. (B) 
 
90. (B) 3 
 
91. (A) 
 
x 1 1
y3
?
?  
x1
y 8 4
?
?
 
 3x – 3 = y  4x = y + 8 
 3x – 3 = 4x – 8  
 5 = x   y = 12 
 
92. (A) 
an = a + (n - 1)d 
 99 = 12 + (n - 1)3 
 (n - 1) = 87/3 
 N = 30 
 
93. (B) 
 AB
2
 = AC
2
 
 6
2
 + (y - 5)
2
 = 4
2
 + (y - 3) 
 y = 9 
 So, B (0, 9) 
 
94. sec A(1 sinA)(sec A tanA) ?? 
 (sec A sec A.sinA)(sec A tanA) ?? 
 (sec A tanA)(sec A tanA) ?? 
 
22
sec A tan A 1 ?? 
 
Page 5


NTSE STAGE – 1 
 
SOLUTION - PHYSICS 
 
1. (A) 
  For super conductors, 
   Resistivity ( ? ) = 0 
  ? Conductivity ( ? ) = 
11
0
? ? ?
?
 
 
2. (B) 
 SI unit of Magnetic field intensity (B) is “Tesla (T)” 
 
3. (A) 
 If Distance = 0; object is at rest 
  So, Displacement = 0 
 
4. (C) 
 Viscous force is fluid friction, it is non-conservative in nature. 
 
5. (C) 
 Escape velocity is given by 
e
V 2gR ? 
  
6
2 9.8 6.4 10 ? ? ? ? 
  = 11.2 km/s 
 
6. (B) When a satellite falls to an orbit of smaller radius, its orbital speed increases. 
 Hence its K.E. will increase. 
 
7. (B) 
  
 Ray bends twice 
 
8. (A) 
Transverse waves can not exist in a gas medium. Hence waves inside gas are always 
longitudinal. 
 
9. (D) 
 Petroleum 
 
10. (A) 
 Moon 
 
11. (D) 
  
 
12. (C) 
 All Jovian planets have rings around them. 
 i.e. Jupiter, Saturn, Uranus, Neptune. 
 
13. (C) 
 1 kWh = (1000 W) × (3600s) = 3.6 × 10
6
 Ws = 3.6 × 10
6
 J   
 
 
SOLUTION – CHEMISTRY 
 
 
14. (B) 
 Milk : Because it is only colloidal solution among them. 
 
15. (D) 
 Soda water : Homogeneous solution of liquid water and CO 2 dissolved in it under pressure 
 
16. (A) 
 MgCl2 : Magnesium chloride 
 
17. (C) 
Isotopes are those chemical species which have same atomic number (i.e. number of 
proton and number of electrons) but different atomic mass. 
 
18. (B) 
 Electronic configuration of Cl
-
 is 2, 8, 8 
 
19. (D) 
 Electronic configuration of Na is 2, 8, 1 as its atomic number is 11 
 
20. (A) & (B) 
 At 0ºC water can exist in both i.e. solid and liquid state so both a and b are correct. 
 (most appropriate answer is (A) among all options) 
 
21. (A) 
 Homogeneous solution 
 
22. (A) 
 Fractional distillation (using difference in boiling point of gases) 
 
23. (B) 
 Cl
-
 chloride anion 
 
24. (A) 
 J.J. Thomson 
 
25. (A) 
 2n
2
 
 
26. (A) 
 Atomic number of C is 6 so its electronic configuration will be 2, 4 
 
 
  
SOLUTION – BIOLOGY 
 
27.  D 
28. B 
29. D 
30. B 
31. A 
32. D 
33. B 
34. D 
35. B 
36. D 
37. A 
38. B 
39. C 
40. C 
 
SOLUTION – SST 
 
 
 
 
  
41. B 
42. A 
43. C 
44. D 
45. C 
46. A 
47. A 
48. B 
49. C 
50. D 
51. A 
52. A 
53. C 
54. B 
55. C 
56. D 
57. C 
58. A 
59. B 
60. B 
61. C 
62. A 
63. A 
64. A 
65. D 
66. C 
67. A 
68. A 
69. B 
70. B 
71. B 
72. A 
73. C 
74. D 
75. A 
76. C 
77. B 
78. A 
79. D 
80. B 
 
MATHS 
 
 
81. (D) 
 q0 ? 
 
82. (A) 
 p(n) = 2n +1 
  2n + 1 = 0 
  x = -1/2 
 
83. (D) 
 ? 
 
84. (A) 
 P Q R S 9 0 º ? ? ? ? ? ? ? ? 
 PQRS is rectangle 
 
85. (D) 
 V = 15a
3
 = 15 × 3
3
 = 405 
 
86. (B) 
 
87. (C) 
 Mean of 
th th
nn
and 1
22
? ? ? ?
?
? ? ? ?
? ? ? ?
 term 
 
88. (C) 
 
89. (B) 
 
90. (B) 3 
 
91. (A) 
 
x 1 1
y3
?
?  
x1
y 8 4
?
?
 
 3x – 3 = y  4x = y + 8 
 3x – 3 = 4x – 8  
 5 = x   y = 12 
 
92. (A) 
an = a + (n - 1)d 
 99 = 12 + (n - 1)3 
 (n - 1) = 87/3 
 N = 30 
 
93. (B) 
 AB
2
 = AC
2
 
 6
2
 + (y - 5)
2
 = 4
2
 + (y - 3) 
 y = 9 
 So, B (0, 9) 
 
94. sec A(1 sinA)(sec A tanA) ?? 
 (sec A sec A.sinA)(sec A tanA) ?? 
 (sec A tanA)(sec A tanA) ?? 
 
22
sec A tan A 1 ?? 
 
95. (A) 
 
2
r
A
360
??
? 
 
22 30
14 14
7 360
? ? ? ? 
 
154
3
? 
 
96. (B) 
 
n(n 1)
Sum
2
?
? 
 
n1
Mean
2
?
? 
 
97. (C) 
 
Favourable outcome
P(E)
Total outcome
? = 2/9 
 
98. (C) 
 All Integers are not rational number 
 
99. (C) 
h
tan60
15
? 
 h 15 3 ? 
 
100. (A) 
 an = 3 + 2n 
 a1 = 5 
 a2 = 7  a 24 = 3 + 48 
 a3 = 9  = 51 
  
 S 24 = 
n
(a )
2
? 
 
24
(5 51)
2
?? 
 = 12 × 56 
 = 672fQP_Madhya Pradesh_NTSE_Stg1_2018-19_SATa 
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