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Page 1
NTSE STAGE – 1 (2016) (STATE OF M.P.)
SENT – 10
ANSWERS KEYS
PART-I MENTAL ABILITY(MAT)
1.(D) 2. (C) 3. (D) 4. (D) 5. (A) 6. (D) 7. (D) 8. (A) 9. (B) 10. (D) 11. (C) 12. (D)
13. (B) 14. (A) 15. (B) 16. (D) 17. (D) 18. (B) 19. (B) 20. (C) 21.(D) 22. (C) 23. (A) 24.(C)
25. (D) 26. (D) 27. (C) 28. (C) 29. (B) 30. (D) 31. (A) 32. (C) 33. (B) 34. (A) 35. (B) 36. (B)
37. (A,D) 38. (A) 39. (C) 40. (C) 41. (D) 42. (C) 43. (D) 44. (C) 45. (A) 46. (A) 47. (D) 48. (C)
49. (D) 50. (C)
PART-II (SAT)
PHYSICS
1. (A) 2. (B) 3. (A) 4. (NO OPTION IS MATCHING) 5. (A) 6. (B) 7. (B) 8. (D) 9. (C)
10. (D) 11. (B) 12. (A) 13. (C)
CHEMISTRY
14. (A) 15. (C) 16. (C) 17. (B) 18. (C) 19. (A) 20. (D) 21. (A) 22. (C) 23. (B) 24. (A)
25. (B) 26. (A)
BIOLOGY
27. (A) 28. (C) 29. (A) 30. (B) 31. (D) 32. (B) 33. (C) 34. (C) 35. (A) 36. (A) 37. (C)
38. (A) 39. (C) 40. (B)
HISTORY
41. (B) 42. (B) 43. (B) 44. (C) 45. (B) 46. (A) 47. (A) 48. (D) 49. (C) 50. (C) 51. (B)
52. (D) 53. (C) 54. (A) 55. (C)
GEOGRAPHY
56. (D) 57. (B) 58. (A) 59. (B) 60. (A) 61. (A) 62. (B) 63. (A) 64. (B) 65. (B) 66. (D)
67. (B) 68. (D) 69. (B) 70. (C)
CIVICS
71. (C) 72. (B) 73. (B) 74. (A) 75. (C)
ECONOMICS
76. (D) 77. (C) 78. (C) 79. (B) 80. (D)
MATHEMATICS
81. (B) 82. (B) 83. (C) 84. (No option matching/bonus) 85. (A) 86. (C) 87. (A) 88. (D) 89. (D) 90. (D)
91. (C) 92. (B) 93. (C)
94. (A,C) 95. (A) 96. (B) 97. (C) 98. (D) 99. (D) 100. (B)
Page 2
NTSE STAGE – 1 (2016) (STATE OF M.P.)
SENT – 10
ANSWERS KEYS
PART-I MENTAL ABILITY(MAT)
1.(D) 2. (C) 3. (D) 4. (D) 5. (A) 6. (D) 7. (D) 8. (A) 9. (B) 10. (D) 11. (C) 12. (D)
13. (B) 14. (A) 15. (B) 16. (D) 17. (D) 18. (B) 19. (B) 20. (C) 21.(D) 22. (C) 23. (A) 24.(C)
25. (D) 26. (D) 27. (C) 28. (C) 29. (B) 30. (D) 31. (A) 32. (C) 33. (B) 34. (A) 35. (B) 36. (B)
37. (A,D) 38. (A) 39. (C) 40. (C) 41. (D) 42. (C) 43. (D) 44. (C) 45. (A) 46. (A) 47. (D) 48. (C)
49. (D) 50. (C)
PART-II (SAT)
PHYSICS
1. (A) 2. (B) 3. (A) 4. (NO OPTION IS MATCHING) 5. (A) 6. (B) 7. (B) 8. (D) 9. (C)
10. (D) 11. (B) 12. (A) 13. (C)
CHEMISTRY
14. (A) 15. (C) 16. (C) 17. (B) 18. (C) 19. (A) 20. (D) 21. (A) 22. (C) 23. (B) 24. (A)
25. (B) 26. (A)
BIOLOGY
27. (A) 28. (C) 29. (A) 30. (B) 31. (D) 32. (B) 33. (C) 34. (C) 35. (A) 36. (A) 37. (C)
38. (A) 39. (C) 40. (B)
HISTORY
41. (B) 42. (B) 43. (B) 44. (C) 45. (B) 46. (A) 47. (A) 48. (D) 49. (C) 50. (C) 51. (B)
52. (D) 53. (C) 54. (A) 55. (C)
GEOGRAPHY
56. (D) 57. (B) 58. (A) 59. (B) 60. (A) 61. (A) 62. (B) 63. (A) 64. (B) 65. (B) 66. (D)
67. (B) 68. (D) 69. (B) 70. (C)
CIVICS
71. (C) 72. (B) 73. (B) 74. (A) 75. (C)
ECONOMICS
76. (D) 77. (C) 78. (C) 79. (B) 80. (D)
MATHEMATICS
81. (B) 82. (B) 83. (C) 84. (No option matching/bonus) 85. (A) 86. (C) 87. (A) 88. (D) 89. (D) 90. (D)
91. (C) 92. (B) 93. (C)
94. (A,C) 95. (A) 96. (B) 97. (C) 98. (D) 99. (D) 100. (B)
SOLUTIONS
MAT :
1. 36, 30, 24, 18, 12
Hint : Difference of -6 in each step.
2. 1, 1, 4, 8, 9, 27, 16, 64, 25, 125
Hint : Alternate series.
3. 3, 5, 8, 13, 21, 34, 55
3 + 5 = 8
8 + 13 = 21
13 + 21 = 34
4. 80, 78, 75, 71, 66
Hint : Successive difference of -2, -3, -4, -5
5. 2, 7, 17, 32, 52, 77
Hint : Difference in each step of 5, 10, 15, 20, 25
6. B E G K : A D F J : :
Hint : Difference in each letter is one.
7. A B C D : N P R T
+13 +14 +15 +16
8. Opposite Letters
9. a C E : b d F :: f h J : ?
+1 +1 +1
19. 90/7 (reminder = 6 so it will be Saturday)
23.
24.
33.
69 15
F I O ?
?
So
5 13 18
E M R ?
?
34. 9 + 2
2
= 13
13 + 3
2
= 22
22 + 4
2
= 38
35. 4 9 2 3 6 ? ? ? ?
16 25 4 5 20 ? ? ? ?
Page 3
NTSE STAGE – 1 (2016) (STATE OF M.P.)
SENT – 10
ANSWERS KEYS
PART-I MENTAL ABILITY(MAT)
1.(D) 2. (C) 3. (D) 4. (D) 5. (A) 6. (D) 7. (D) 8. (A) 9. (B) 10. (D) 11. (C) 12. (D)
13. (B) 14. (A) 15. (B) 16. (D) 17. (D) 18. (B) 19. (B) 20. (C) 21.(D) 22. (C) 23. (A) 24.(C)
25. (D) 26. (D) 27. (C) 28. (C) 29. (B) 30. (D) 31. (A) 32. (C) 33. (B) 34. (A) 35. (B) 36. (B)
37. (A,D) 38. (A) 39. (C) 40. (C) 41. (D) 42. (C) 43. (D) 44. (C) 45. (A) 46. (A) 47. (D) 48. (C)
49. (D) 50. (C)
PART-II (SAT)
PHYSICS
1. (A) 2. (B) 3. (A) 4. (NO OPTION IS MATCHING) 5. (A) 6. (B) 7. (B) 8. (D) 9. (C)
10. (D) 11. (B) 12. (A) 13. (C)
CHEMISTRY
14. (A) 15. (C) 16. (C) 17. (B) 18. (C) 19. (A) 20. (D) 21. (A) 22. (C) 23. (B) 24. (A)
25. (B) 26. (A)
BIOLOGY
27. (A) 28. (C) 29. (A) 30. (B) 31. (D) 32. (B) 33. (C) 34. (C) 35. (A) 36. (A) 37. (C)
38. (A) 39. (C) 40. (B)
HISTORY
41. (B) 42. (B) 43. (B) 44. (C) 45. (B) 46. (A) 47. (A) 48. (D) 49. (C) 50. (C) 51. (B)
52. (D) 53. (C) 54. (A) 55. (C)
GEOGRAPHY
56. (D) 57. (B) 58. (A) 59. (B) 60. (A) 61. (A) 62. (B) 63. (A) 64. (B) 65. (B) 66. (D)
67. (B) 68. (D) 69. (B) 70. (C)
CIVICS
71. (C) 72. (B) 73. (B) 74. (A) 75. (C)
ECONOMICS
76. (D) 77. (C) 78. (C) 79. (B) 80. (D)
MATHEMATICS
81. (B) 82. (B) 83. (C) 84. (No option matching/bonus) 85. (A) 86. (C) 87. (A) 88. (D) 89. (D) 90. (D)
91. (C) 92. (B) 93. (C)
94. (A,C) 95. (A) 96. (B) 97. (C) 98. (D) 99. (D) 100. (B)
SOLUTIONS
MAT :
1. 36, 30, 24, 18, 12
Hint : Difference of -6 in each step.
2. 1, 1, 4, 8, 9, 27, 16, 64, 25, 125
Hint : Alternate series.
3. 3, 5, 8, 13, 21, 34, 55
3 + 5 = 8
8 + 13 = 21
13 + 21 = 34
4. 80, 78, 75, 71, 66
Hint : Successive difference of -2, -3, -4, -5
5. 2, 7, 17, 32, 52, 77
Hint : Difference in each step of 5, 10, 15, 20, 25
6. B E G K : A D F J : :
Hint : Difference in each letter is one.
7. A B C D : N P R T
+13 +14 +15 +16
8. Opposite Letters
9. a C E : b d F :: f h J : ?
+1 +1 +1
19. 90/7 (reminder = 6 so it will be Saturday)
23.
24.
33.
69 15
F I O ?
?
So
5 13 18
E M R ?
?
34. 9 + 2
2
= 13
13 + 3
2
= 22
22 + 4
2
= 38
35. 4 9 2 3 6 ? ? ? ?
16 25 4 5 20 ? ? ? ?
40. Difference of 1, 2, 3, 4, 5, 6, 7
41. Difference of 10, 20, 40, 80, 160
43. 2
2
= 4
3
2
= 9
4
2
= 16
5
2
= 25
44.
1 1 2
3 3 6
3 3 3 9
2 6 9 17
?
?
?
??
??
? ? ?
? ? ?
45. 26 12 312
312
104in
3
104 8f 8in
??
?
?
46.
47.
48.
50.
PHYSICS :
1. A
22
Req
22
?
??
?
Req 1 ? ? ?
2. B
3. A
10 VSD 8MSD ?
8
1VSD MSD 0.8MSD
10
? ? ?
LC 1MSD 1VSD ? ? ? ?
1 0.8 0.2mm ? ? ?
4.
th
n
a
S u (2n 1)
2
? ? ?
Page 4
NTSE STAGE – 1 (2016) (STATE OF M.P.)
SENT – 10
ANSWERS KEYS
PART-I MENTAL ABILITY(MAT)
1.(D) 2. (C) 3. (D) 4. (D) 5. (A) 6. (D) 7. (D) 8. (A) 9. (B) 10. (D) 11. (C) 12. (D)
13. (B) 14. (A) 15. (B) 16. (D) 17. (D) 18. (B) 19. (B) 20. (C) 21.(D) 22. (C) 23. (A) 24.(C)
25. (D) 26. (D) 27. (C) 28. (C) 29. (B) 30. (D) 31. (A) 32. (C) 33. (B) 34. (A) 35. (B) 36. (B)
37. (A,D) 38. (A) 39. (C) 40. (C) 41. (D) 42. (C) 43. (D) 44. (C) 45. (A) 46. (A) 47. (D) 48. (C)
49. (D) 50. (C)
PART-II (SAT)
PHYSICS
1. (A) 2. (B) 3. (A) 4. (NO OPTION IS MATCHING) 5. (A) 6. (B) 7. (B) 8. (D) 9. (C)
10. (D) 11. (B) 12. (A) 13. (C)
CHEMISTRY
14. (A) 15. (C) 16. (C) 17. (B) 18. (C) 19. (A) 20. (D) 21. (A) 22. (C) 23. (B) 24. (A)
25. (B) 26. (A)
BIOLOGY
27. (A) 28. (C) 29. (A) 30. (B) 31. (D) 32. (B) 33. (C) 34. (C) 35. (A) 36. (A) 37. (C)
38. (A) 39. (C) 40. (B)
HISTORY
41. (B) 42. (B) 43. (B) 44. (C) 45. (B) 46. (A) 47. (A) 48. (D) 49. (C) 50. (C) 51. (B)
52. (D) 53. (C) 54. (A) 55. (C)
GEOGRAPHY
56. (D) 57. (B) 58. (A) 59. (B) 60. (A) 61. (A) 62. (B) 63. (A) 64. (B) 65. (B) 66. (D)
67. (B) 68. (D) 69. (B) 70. (C)
CIVICS
71. (C) 72. (B) 73. (B) 74. (A) 75. (C)
ECONOMICS
76. (D) 77. (C) 78. (C) 79. (B) 80. (D)
MATHEMATICS
81. (B) 82. (B) 83. (C) 84. (No option matching/bonus) 85. (A) 86. (C) 87. (A) 88. (D) 89. (D) 90. (D)
91. (C) 92. (B) 93. (C)
94. (A,C) 95. (A) 96. (B) 97. (C) 98. (D) 99. (D) 100. (B)
SOLUTIONS
MAT :
1. 36, 30, 24, 18, 12
Hint : Difference of -6 in each step.
2. 1, 1, 4, 8, 9, 27, 16, 64, 25, 125
Hint : Alternate series.
3. 3, 5, 8, 13, 21, 34, 55
3 + 5 = 8
8 + 13 = 21
13 + 21 = 34
4. 80, 78, 75, 71, 66
Hint : Successive difference of -2, -3, -4, -5
5. 2, 7, 17, 32, 52, 77
Hint : Difference in each step of 5, 10, 15, 20, 25
6. B E G K : A D F J : :
Hint : Difference in each letter is one.
7. A B C D : N P R T
+13 +14 +15 +16
8. Opposite Letters
9. a C E : b d F :: f h J : ?
+1 +1 +1
19. 90/7 (reminder = 6 so it will be Saturday)
23.
24.
33.
69 15
F I O ?
?
So
5 13 18
E M R ?
?
34. 9 + 2
2
= 13
13 + 3
2
= 22
22 + 4
2
= 38
35. 4 9 2 3 6 ? ? ? ?
16 25 4 5 20 ? ? ? ?
40. Difference of 1, 2, 3, 4, 5, 6, 7
41. Difference of 10, 20, 40, 80, 160
43. 2
2
= 4
3
2
= 9
4
2
= 16
5
2
= 25
44.
1 1 2
3 3 6
3 3 3 9
2 6 9 17
?
?
?
??
??
? ? ?
? ? ?
45. 26 12 312
312
104in
3
104 8f 8in
??
?
?
46.
47.
48.
50.
PHYSICS :
1. A
22
Req
22
?
??
?
Req 1 ? ? ?
2. B
3. A
10 VSD 8MSD ?
8
1VSD MSD 0.8MSD
10
? ? ?
LC 1MSD 1VSD ? ? ? ?
1 0.8 0.2mm ? ? ?
4.
th
n
a
S u (2n 1)
2
? ? ?
5.
c F 32
59
?
?
x x 32
59
?
??
9x 5x 160 ? ? ?
x 40 ? ? ?
6. Total distance = x + x = 2x
Total time = t1 + t2
xx
50 150
??
Total distance 2x
Av. Speed
xx
Total time
50 150
? ? ?
?
= 75 km/h
7. Lattitude of that place
8. Rs > R1 and RP + R3
9. Mars – Jupiter
10. D
11. B
12. A
High resistance low melting point
13. C
CHEMISTRY :
14. Elements of same group have similar valence shell configuration
15. Elements of zero group are inert gases and these are
2 10 18 36 54 86
H, N, Ar, Kr, Xe, Rn
16. Covalent compounds are generally bad conductor of electricity
17. B
18.
2
CH O HCHO ? = Formaldehyde
CH3COOH = Acetic acid
C6H12O6 = Glucose/Fructose
C12H22O11 = Sucrose
19. A
20. D
21. A
22. C
23. B
24. A
25. B
26. A
MATHS
81. cot a = 9/40
Cosec A = 41/40
82. sin c = 5/13
83. (sec tan )(1 sin ) ? ? ? ? ?
Page 5
NTSE STAGE – 1 (2016) (STATE OF M.P.)
SENT – 10
ANSWERS KEYS
PART-I MENTAL ABILITY(MAT)
1.(D) 2. (C) 3. (D) 4. (D) 5. (A) 6. (D) 7. (D) 8. (A) 9. (B) 10. (D) 11. (C) 12. (D)
13. (B) 14. (A) 15. (B) 16. (D) 17. (D) 18. (B) 19. (B) 20. (C) 21.(D) 22. (C) 23. (A) 24.(C)
25. (D) 26. (D) 27. (C) 28. (C) 29. (B) 30. (D) 31. (A) 32. (C) 33. (B) 34. (A) 35. (B) 36. (B)
37. (A,D) 38. (A) 39. (C) 40. (C) 41. (D) 42. (C) 43. (D) 44. (C) 45. (A) 46. (A) 47. (D) 48. (C)
49. (D) 50. (C)
PART-II (SAT)
PHYSICS
1. (A) 2. (B) 3. (A) 4. (NO OPTION IS MATCHING) 5. (A) 6. (B) 7. (B) 8. (D) 9. (C)
10. (D) 11. (B) 12. (A) 13. (C)
CHEMISTRY
14. (A) 15. (C) 16. (C) 17. (B) 18. (C) 19. (A) 20. (D) 21. (A) 22. (C) 23. (B) 24. (A)
25. (B) 26. (A)
BIOLOGY
27. (A) 28. (C) 29. (A) 30. (B) 31. (D) 32. (B) 33. (C) 34. (C) 35. (A) 36. (A) 37. (C)
38. (A) 39. (C) 40. (B)
HISTORY
41. (B) 42. (B) 43. (B) 44. (C) 45. (B) 46. (A) 47. (A) 48. (D) 49. (C) 50. (C) 51. (B)
52. (D) 53. (C) 54. (A) 55. (C)
GEOGRAPHY
56. (D) 57. (B) 58. (A) 59. (B) 60. (A) 61. (A) 62. (B) 63. (A) 64. (B) 65. (B) 66. (D)
67. (B) 68. (D) 69. (B) 70. (C)
CIVICS
71. (C) 72. (B) 73. (B) 74. (A) 75. (C)
ECONOMICS
76. (D) 77. (C) 78. (C) 79. (B) 80. (D)
MATHEMATICS
81. (B) 82. (B) 83. (C) 84. (No option matching/bonus) 85. (A) 86. (C) 87. (A) 88. (D) 89. (D) 90. (D)
91. (C) 92. (B) 93. (C)
94. (A,C) 95. (A) 96. (B) 97. (C) 98. (D) 99. (D) 100. (B)
SOLUTIONS
MAT :
1. 36, 30, 24, 18, 12
Hint : Difference of -6 in each step.
2. 1, 1, 4, 8, 9, 27, 16, 64, 25, 125
Hint : Alternate series.
3. 3, 5, 8, 13, 21, 34, 55
3 + 5 = 8
8 + 13 = 21
13 + 21 = 34
4. 80, 78, 75, 71, 66
Hint : Successive difference of -2, -3, -4, -5
5. 2, 7, 17, 32, 52, 77
Hint : Difference in each step of 5, 10, 15, 20, 25
6. B E G K : A D F J : :
Hint : Difference in each letter is one.
7. A B C D : N P R T
+13 +14 +15 +16
8. Opposite Letters
9. a C E : b d F :: f h J : ?
+1 +1 +1
19. 90/7 (reminder = 6 so it will be Saturday)
23.
24.
33.
69 15
F I O ?
?
So
5 13 18
E M R ?
?
34. 9 + 2
2
= 13
13 + 3
2
= 22
22 + 4
2
= 38
35. 4 9 2 3 6 ? ? ? ?
16 25 4 5 20 ? ? ? ?
40. Difference of 1, 2, 3, 4, 5, 6, 7
41. Difference of 10, 20, 40, 80, 160
43. 2
2
= 4
3
2
= 9
4
2
= 16
5
2
= 25
44.
1 1 2
3 3 6
3 3 3 9
2 6 9 17
?
?
?
??
??
? ? ?
? ? ?
45. 26 12 312
312
104in
3
104 8f 8in
??
?
?
46.
47.
48.
50.
PHYSICS :
1. A
22
Req
22
?
??
?
Req 1 ? ? ?
2. B
3. A
10 VSD 8MSD ?
8
1VSD MSD 0.8MSD
10
? ? ?
LC 1MSD 1VSD ? ? ? ?
1 0.8 0.2mm ? ? ?
4.
th
n
a
S u (2n 1)
2
? ? ?
5.
c F 32
59
?
?
x x 32
59
?
??
9x 5x 160 ? ? ?
x 40 ? ? ?
6. Total distance = x + x = 2x
Total time = t1 + t2
xx
50 150
??
Total distance 2x
Av. Speed
xx
Total time
50 150
? ? ?
?
= 75 km/h
7. Lattitude of that place
8. Rs > R1 and RP + R3
9. Mars – Jupiter
10. D
11. B
12. A
High resistance low melting point
13. C
CHEMISTRY :
14. Elements of same group have similar valence shell configuration
15. Elements of zero group are inert gases and these are
2 10 18 36 54 86
H, N, Ar, Kr, Xe, Rn
16. Covalent compounds are generally bad conductor of electricity
17. B
18.
2
CH O HCHO ? = Formaldehyde
CH3COOH = Acetic acid
C6H12O6 = Glucose/Fructose
C12H22O11 = Sucrose
19. A
20. D
21. A
22. C
23. B
24. A
25. B
26. A
MATHS
81. cot a = 9/40
Cosec A = 41/40
82. sin c = 5/13
83. (sec tan )(1 sin ) ? ? ? ? ?
1 sin
(1 sin )
cos
?? ??
? ? ?
??
?? ?
2
1 sin
cos
??
?
?
= cos ?
84.
1
tan
3
??
22
22
4
4
cosex sec
3
4
cosec sec
4
3
?
? ? ?
?
? ? ?
?
=
1
2
(Hence Bonus because NO option Matched)
85.
2
3x 2x K 0 ? ? ?
D0 ?
4 12K 0 ??
12K 4 ? ? ?
1
K
3
?
86. (x 5)(x 8) 30 ? ? ?
2
x 8x 5x 40 30 0 ? ? ? ? ?
2
x 3x 70 0 ? ? ?
2
x 10x 7x 70 0 ? ? ? ?
(x 10)(x 7) 0 ? ? ?
X = 7
87.
1
3x x 96
2
? ? ?
2
x 64 ?
x = 8
3x = 24
88.
2
P(E)
7
?
89. N(s) 52 ?
For event =
12
1
C = 12
12 4
P(E)
52 13
??
90. Breadth = x
Length = x + 23
2(x + 23) + 2x = 206
4x = 160
x = 40
Breadth = 40
Length = 63
Area = 2520
91.
2
6a 864 ?
2
a 144 ?
a = 12
Volume = a
3
= 1728
92. Longest Pole = Diagonal Length
222
a b c 289 17 ? ? ? ? ?
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