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CBSE Class 10  >  Class 10 Notes  >  NTSE  >  Madhya Pradesh: State Level Solutions (Sat & Mat) - 2017-18

Madhya Pradesh: State Level Solutions (Sat & Mat) - 2017-18

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 Page 1


     
 
NTSE STAGE – 1 (2017) 
ANSWERS KEYS (SAT) 
PHYSICS CHEMISTRY BIOLOGY S. SCIENCE MATHEMATICS 
1. C 
2. D 
3. B 
4. C 
5. B 
6. D 
7. A 
8. B 
9. A 
10. A 
11. B 
12. C 
13. C 
14. A 
15. B 
16. B 
17. C 
18. C 
19. D 
20. A 
21. D 
22. B 
23. C 
24. D 
25. B 
26. A 
 
27. A 
28. B 
29. C 
30. B 
31. B 
32. C 
33. C 
34. D 
35. C 
36. C 
37. D 
38. B 
39. B 
40. D 
 
41. B 
42. B 
43. C 
44. B 
45. D 
46. A 
47. C 
48. C 
49. C 
50. A 
51. C 
52. A 
53. D 
54. A 
55. B 
56. A 
57. D 
58. C 
59. C 
60. A 
61. A 
62. C 
63. D 
64. A 
65. B 
66. B OR C 
67. A 
68. C 
69. A 
70. C 
71. A 
72. B 
73. C 
74. D 
75. B 
76. B 
77. A 
78. A 
79. B 
80. C 
81.  D 
82.  B 
83.  C 
84. A 
85.  B 
86.  C 
87. A 
88. B 
89. D 
90. B 
91.  C 
92.  A 
93.  C 
94. B 
95. D 
96. B 
97. C 
98. B 
99. A 
100. B 
 
  
Page 2


     
 
NTSE STAGE – 1 (2017) 
ANSWERS KEYS (SAT) 
PHYSICS CHEMISTRY BIOLOGY S. SCIENCE MATHEMATICS 
1. C 
2. D 
3. B 
4. C 
5. B 
6. D 
7. A 
8. B 
9. A 
10. A 
11. B 
12. C 
13. C 
14. A 
15. B 
16. B 
17. C 
18. C 
19. D 
20. A 
21. D 
22. B 
23. C 
24. D 
25. B 
26. A 
 
27. A 
28. B 
29. C 
30. B 
31. B 
32. C 
33. C 
34. D 
35. C 
36. C 
37. D 
38. B 
39. B 
40. D 
 
41. B 
42. B 
43. C 
44. B 
45. D 
46. A 
47. C 
48. C 
49. C 
50. A 
51. C 
52. A 
53. D 
54. A 
55. B 
56. A 
57. D 
58. C 
59. C 
60. A 
61. A 
62. C 
63. D 
64. A 
65. B 
66. B OR C 
67. A 
68. C 
69. A 
70. C 
71. A 
72. B 
73. C 
74. D 
75. B 
76. B 
77. A 
78. A 
79. B 
80. C 
81.  D 
82.  B 
83.  C 
84. A 
85.  B 
86.  C 
87. A 
88. B 
89. D 
90. B 
91.  C 
92.  A 
93.  C 
94. B 
95. D 
96. B 
97. C 
98. B 
99. A 
100. B 
 
  
  
  
 
HINT & SOLUTIONS (SAT) 
 
PHYSICS 
 
1. (C) 
  
 
 
T= 
AB AC
tt ? 
= 
30 30 1 3 5
h
60 40 2 4 4
? ? ? ? 
= 75 min 
 
2. (D) 
 
22
( 3u) (u) 2( g)( h) ? ? ? ? ? 
 ? 
22
9u u 2gh ?? 
 ?
2
8u 2gh ? 
 ?
2
4u
h
g
??
? ??
??
??
 
 
3. (B) 
Let 
21
v 2v ? 
 ?  
2
1 1 1 1
11
k 1/2m v v
p mv 2
?? 
Now,  
2
2 2 2 1 1 1
2 2 1
k 1/2 mv v 2v v k
22
p mv 2 2 2 p
??
??
? ? ? ? ?
?? ??
??
??
 
 
 
 
Page 3


     
 
NTSE STAGE – 1 (2017) 
ANSWERS KEYS (SAT) 
PHYSICS CHEMISTRY BIOLOGY S. SCIENCE MATHEMATICS 
1. C 
2. D 
3. B 
4. C 
5. B 
6. D 
7. A 
8. B 
9. A 
10. A 
11. B 
12. C 
13. C 
14. A 
15. B 
16. B 
17. C 
18. C 
19. D 
20. A 
21. D 
22. B 
23. C 
24. D 
25. B 
26. A 
 
27. A 
28. B 
29. C 
30. B 
31. B 
32. C 
33. C 
34. D 
35. C 
36. C 
37. D 
38. B 
39. B 
40. D 
 
41. B 
42. B 
43. C 
44. B 
45. D 
46. A 
47. C 
48. C 
49. C 
50. A 
51. C 
52. A 
53. D 
54. A 
55. B 
56. A 
57. D 
58. C 
59. C 
60. A 
61. A 
62. C 
63. D 
64. A 
65. B 
66. B OR C 
67. A 
68. C 
69. A 
70. C 
71. A 
72. B 
73. C 
74. D 
75. B 
76. B 
77. A 
78. A 
79. B 
80. C 
81.  D 
82.  B 
83.  C 
84. A 
85.  B 
86.  C 
87. A 
88. B 
89. D 
90. B 
91.  C 
92.  A 
93.  C 
94. B 
95. D 
96. B 
97. C 
98. B 
99. A 
100. B 
 
  
  
  
 
HINT & SOLUTIONS (SAT) 
 
PHYSICS 
 
1. (C) 
  
 
 
T= 
AB AC
tt ? 
= 
30 30 1 3 5
h
60 40 2 4 4
? ? ? ? 
= 75 min 
 
2. (D) 
 
22
( 3u) (u) 2( g)( h) ? ? ? ? ? 
 ? 
22
9u u 2gh ?? 
 ?
2
8u 2gh ? 
 ?
2
4u
h
g
??
? ??
??
??
 
 
3. (B) 
Let 
21
v 2v ? 
 ?  
2
1 1 1 1
11
k 1/2m v v
p mv 2
?? 
Now,  
2
2 2 2 1 1 1
2 2 1
k 1/2 mv v 2v v k
22
p mv 2 2 2 p
??
??
? ? ? ? ?
?? ??
??
??
 
 
 
 
  
  
 
4. (C) 
  V ? ? ? 
 
8
9
3 10
0.3m 30cm
10
?
? ? ? ? 
  
5. (B) 
  
4
4
F 16
P 0.25 10 Pa
A
8 8 10
?
? ? ? ?
??
 
 ?  
? ?
P 2500Pa ? 
 
6. (D) 
W Fscos ?? 
 when 0º, cos0º 1(maximum) ? ? ? ?  
?  W = Fs  is maximum 
 ?           is correct 
 
7. (A) 
 
 
AB
R? ? 
 
AB
1 1 1 1
R 30 20 40
? ? ? 
 
AB
1 4 6 3 13
R 120 120
??
?? 
 
AB
120
R 9.23
13
? ? ? 
Page 4


     
 
NTSE STAGE – 1 (2017) 
ANSWERS KEYS (SAT) 
PHYSICS CHEMISTRY BIOLOGY S. SCIENCE MATHEMATICS 
1. C 
2. D 
3. B 
4. C 
5. B 
6. D 
7. A 
8. B 
9. A 
10. A 
11. B 
12. C 
13. C 
14. A 
15. B 
16. B 
17. C 
18. C 
19. D 
20. A 
21. D 
22. B 
23. C 
24. D 
25. B 
26. A 
 
27. A 
28. B 
29. C 
30. B 
31. B 
32. C 
33. C 
34. D 
35. C 
36. C 
37. D 
38. B 
39. B 
40. D 
 
41. B 
42. B 
43. C 
44. B 
45. D 
46. A 
47. C 
48. C 
49. C 
50. A 
51. C 
52. A 
53. D 
54. A 
55. B 
56. A 
57. D 
58. C 
59. C 
60. A 
61. A 
62. C 
63. D 
64. A 
65. B 
66. B OR C 
67. A 
68. C 
69. A 
70. C 
71. A 
72. B 
73. C 
74. D 
75. B 
76. B 
77. A 
78. A 
79. B 
80. C 
81.  D 
82.  B 
83.  C 
84. A 
85.  B 
86.  C 
87. A 
88. B 
89. D 
90. B 
91.  C 
92.  A 
93.  C 
94. B 
95. D 
96. B 
97. C 
98. B 
99. A 
100. B 
 
  
  
  
 
HINT & SOLUTIONS (SAT) 
 
PHYSICS 
 
1. (C) 
  
 
 
T= 
AB AC
tt ? 
= 
30 30 1 3 5
h
60 40 2 4 4
? ? ? ? 
= 75 min 
 
2. (D) 
 
22
( 3u) (u) 2( g)( h) ? ? ? ? ? 
 ? 
22
9u u 2gh ?? 
 ?
2
8u 2gh ? 
 ?
2
4u
h
g
??
? ??
??
??
 
 
3. (B) 
Let 
21
v 2v ? 
 ?  
2
1 1 1 1
11
k 1/2m v v
p mv 2
?? 
Now,  
2
2 2 2 1 1 1
2 2 1
k 1/2 mv v 2v v k
22
p mv 2 2 2 p
??
??
? ? ? ? ?
?? ??
??
??
 
 
 
 
  
  
 
4. (C) 
  V ? ? ? 
 
8
9
3 10
0.3m 30cm
10
?
? ? ? ? 
  
5. (B) 
  
4
4
F 16
P 0.25 10 Pa
A
8 8 10
?
? ? ? ?
??
 
 ?  
? ?
P 2500Pa ? 
 
6. (D) 
W Fscos ?? 
 when 0º, cos0º 1(maximum) ? ? ? ?  
?  W = Fs  is maximum 
 ?           is correct 
 
7. (A) 
 
 
AB
R? ? 
 
AB
1 1 1 1
R 30 20 40
? ? ? 
 
AB
1 4 6 3 13
R 120 120
??
?? 
 
AB
120
R 9.23
13
? ? ? 
  
  
 
8. (B) 
1
L
R
4A
?
? ….. (1) 
 
2
2L
R
A
??
? …….(2) 
 
1
2
R LA
R 4A 2L
?
??
??
 
 
1
2
R 1
1: 8
R8
?? 
 
9. (A) 
On increasing the length of the conductor by stretching, the new resistance is given by  - 
2
R' (n) R ?  Where n is  no. of times of stretching 
 
2
R' (3) R [n 3] ?? 
 R' 9R ? 
 
10. (A) 
Our solar system lies in  “Milky way” Galaxy 
 
11. (B) 
“Presbyopia” Occurs in old age. ‘Presbyopia’ is natural part of the ageing process. It 
happens due to hardening of the lens of eye to focus light behind rather than on the retina 
when looking at closer objects.  
 
12. (C) 
by lens makers’ formula 
 ? ?
12
1 1 1
n1
f R R
??
? ? ?
??
??
 ; where n is refractive index of lens. 
In case – 1 
? ?
1
1 1 1
n1
f R R
??
??
? ? ? ?
??
??
??
??
 
1
R
f
2(n 1 )
?
?
 
In Case – 2 
? ?
2
1 1 1
n1
fR
??
? ? ?
??
?? ?
 
 
? ?
2
R
f
n1
?
?
 
Page 5


     
 
NTSE STAGE – 1 (2017) 
ANSWERS KEYS (SAT) 
PHYSICS CHEMISTRY BIOLOGY S. SCIENCE MATHEMATICS 
1. C 
2. D 
3. B 
4. C 
5. B 
6. D 
7. A 
8. B 
9. A 
10. A 
11. B 
12. C 
13. C 
14. A 
15. B 
16. B 
17. C 
18. C 
19. D 
20. A 
21. D 
22. B 
23. C 
24. D 
25. B 
26. A 
 
27. A 
28. B 
29. C 
30. B 
31. B 
32. C 
33. C 
34. D 
35. C 
36. C 
37. D 
38. B 
39. B 
40. D 
 
41. B 
42. B 
43. C 
44. B 
45. D 
46. A 
47. C 
48. C 
49. C 
50. A 
51. C 
52. A 
53. D 
54. A 
55. B 
56. A 
57. D 
58. C 
59. C 
60. A 
61. A 
62. C 
63. D 
64. A 
65. B 
66. B OR C 
67. A 
68. C 
69. A 
70. C 
71. A 
72. B 
73. C 
74. D 
75. B 
76. B 
77. A 
78. A 
79. B 
80. C 
81.  D 
82.  B 
83.  C 
84. A 
85.  B 
86.  C 
87. A 
88. B 
89. D 
90. B 
91.  C 
92.  A 
93.  C 
94. B 
95. D 
96. B 
97. C 
98. B 
99. A 
100. B 
 
  
  
  
 
HINT & SOLUTIONS (SAT) 
 
PHYSICS 
 
1. (C) 
  
 
 
T= 
AB AC
tt ? 
= 
30 30 1 3 5
h
60 40 2 4 4
? ? ? ? 
= 75 min 
 
2. (D) 
 
22
( 3u) (u) 2( g)( h) ? ? ? ? ? 
 ? 
22
9u u 2gh ?? 
 ?
2
8u 2gh ? 
 ?
2
4u
h
g
??
? ??
??
??
 
 
3. (B) 
Let 
21
v 2v ? 
 ?  
2
1 1 1 1
11
k 1/2m v v
p mv 2
?? 
Now,  
2
2 2 2 1 1 1
2 2 1
k 1/2 mv v 2v v k
22
p mv 2 2 2 p
??
??
? ? ? ? ?
?? ??
??
??
 
 
 
 
  
  
 
4. (C) 
  V ? ? ? 
 
8
9
3 10
0.3m 30cm
10
?
? ? ? ? 
  
5. (B) 
  
4
4
F 16
P 0.25 10 Pa
A
8 8 10
?
? ? ? ?
??
 
 ?  
? ?
P 2500Pa ? 
 
6. (D) 
W Fscos ?? 
 when 0º, cos0º 1(maximum) ? ? ? ?  
?  W = Fs  is maximum 
 ?           is correct 
 
7. (A) 
 
 
AB
R? ? 
 
AB
1 1 1 1
R 30 20 40
? ? ? 
 
AB
1 4 6 3 13
R 120 120
??
?? 
 
AB
120
R 9.23
13
? ? ? 
  
  
 
8. (B) 
1
L
R
4A
?
? ….. (1) 
 
2
2L
R
A
??
? …….(2) 
 
1
2
R LA
R 4A 2L
?
??
??
 
 
1
2
R 1
1: 8
R8
?? 
 
9. (A) 
On increasing the length of the conductor by stretching, the new resistance is given by  - 
2
R' (n) R ?  Where n is  no. of times of stretching 
 
2
R' (3) R [n 3] ?? 
 R' 9R ? 
 
10. (A) 
Our solar system lies in  “Milky way” Galaxy 
 
11. (B) 
“Presbyopia” Occurs in old age. ‘Presbyopia’ is natural part of the ageing process. It 
happens due to hardening of the lens of eye to focus light behind rather than on the retina 
when looking at closer objects.  
 
12. (C) 
by lens makers’ formula 
 ? ?
12
1 1 1
n1
f R R
??
? ? ?
??
??
 ; where n is refractive index of lens. 
In case – 1 
? ?
1
1 1 1
n1
f R R
??
??
? ? ? ?
??
??
??
??
 
1
R
f
2(n 1 )
?
?
 
In Case – 2 
? ?
2
1 1 1
n1
fR
??
? ? ?
??
?? ?
 
 
? ?
2
R
f
n1
?
?
 
  
  
? 
21
f 2f 2f ?? 
 
13. (C) 
12
pp ? 
 
1 1 2 2
2m K 2m K ? 
 
1 1 2 2
mK m K ? 
 if 
12
mm ? 
 so, 
12
21
mK
mK
? so, if 
1
mm ? then –  
 
21
KK ? 
 
CHEMISTRY  
 
14. Electron is discovered by J.J. Thomson 
15. Gypsum is CaSO
4
.2H
2
O 
16. The process in which the red hot cast iron is cooled immediately in cold water is known as 
quenching 
17. 
2 2 6
2
8
Na 1s 2s 2p
?
? 
18. SO
2
 
 x + (-2) × 2 = 0 
 x = 4 
19.  
 
C H
3
CH CH
3
CH
3
2-methylpropane
 
20. Stainless steel contains Fe, Ni, Cr 
21. Number of proton = 1 
 Number of electron = 11 
 Number of Neutron = 12 
22. General electronic configuration of III group is ns
2
 np
1
 
23. 
2 4 4 2
Zn(s) HSO (aq) ZnSO (aq) H ? ? ? ? ? ? 
24.  
 
C H
3
C
O
O H
 
 Carboxylic acid 
25.  
 
C C
H
H H
H
 
 Double covalent bond 
26.  
 
CH
2
CH
Cl
 
 Poly vinyl chloride (PVC) 
  
 
MATHEMATICS
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