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CBSE Class 10  >  Class 10 Notes  >  NTSE  >  Haryana: State Level Answer Key (MAT) - 2019-20

Haryana: State Level Answer Key (MAT) - 2019-20

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 Page 1


 
   
 
 
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
MATHEMATICAL APTITUDE TEST (MAT) 
 
 ANSWER KEYS (SET – C) 
 
1. 4  2. 4  3. 3  4. 2 
5. 4  6. 3  7. ?  8. 1   
9. 1  10. 3  11. 4  12. 3   
13. 4  14. 2  15. 1  16. 3   
17. 3  18. 1  19. 1  20. 3   
21. 1  22. 1  23. 1 or 3  24. 3   
25. 2  26. 3  27. 1  28. 2   
29. 2  30. 1  31. 3  32. ? 
33. 4  34. 2  35. 4  36. 2   
37. 3  38. 1  39. 1  40. 4   
41. 1  42. 3  43. 1  44. 4   
45. 3  46. 2  47. 4  48. 1   
49. ?  50. 3  51. 2  52. 4   
53. ?  54. 4  55. 3  56. 2   
57. ?  58. 2  59. 3  60. 4   
61. 4  62. 1  63. 3  64. 4   
65. 4  66. 2  67. 1  68. ?  
 69. 3  70. 2  71. 2  72. ? 
73. 1  74. 1  75. 2  76. 4 
77. 3  78. 2  79. 2  80. 1 
81. 1  82. 1  83. 2  84. 1 
85. 3  86. 4  87. 2  88. 3    
89. 3  90. 2  91. 1  92. 2 
93. 3  94. 1  95. 2  96. 1 
97. 4  98. 1  99. ?  100. 3 
* No option is correct 
 
 
 
Page 2


 
   
 
 
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
MATHEMATICAL APTITUDE TEST (MAT) 
 
 ANSWER KEYS (SET – C) 
 
1. 4  2. 4  3. 3  4. 2 
5. 4  6. 3  7. ?  8. 1   
9. 1  10. 3  11. 4  12. 3   
13. 4  14. 2  15. 1  16. 3   
17. 3  18. 1  19. 1  20. 3   
21. 1  22. 1  23. 1 or 3  24. 3   
25. 2  26. 3  27. 1  28. 2   
29. 2  30. 1  31. 3  32. ? 
33. 4  34. 2  35. 4  36. 2   
37. 3  38. 1  39. 1  40. 4   
41. 1  42. 3  43. 1  44. 4   
45. 3  46. 2  47. 4  48. 1   
49. ?  50. 3  51. 2  52. 4   
53. ?  54. 4  55. 3  56. 2   
57. ?  58. 2  59. 3  60. 4   
61. 4  62. 1  63. 3  64. 4   
65. 4  66. 2  67. 1  68. ?  
 69. 3  70. 2  71. 2  72. ? 
73. 1  74. 1  75. 2  76. 4 
77. 3  78. 2  79. 2  80. 1 
81. 1  82. 1  83. 2  84. 1 
85. 3  86. 4  87. 2  88. 3    
89. 3  90. 2  91. 1  92. 2 
93. 3  94. 1  95. 2  96. 1 
97. 4  98. 1  99. ?  100. 3 
* No option is correct 
 
 
 
 
   
 
 
 
MATHEMATICAL APTITUDE TEST (MAT) 
 HINTS & SOLUTIONS (SET – C) 
 
1. 4 
1. B U S H ? 2 + 21 + 19 + 8 = 50 
 2 21 19 8  
 
 C A M P ? 3 + 1 + 13 + 16 = 33 
 3 1 13 16 
 
 Similarly L I K E ? 12 + 9 + 11 + 5 = 37 
  12 9 11 5  
 
2. 4 
2. B U R N ? 2 + 21 + 18 + 14 = 55 
 2 21 18 14  
 
 C U R T ? 3 + 21 + 18 + 20 = 62 
 3 21 18 20  
 
 D U C K ? 4 + 21 + 3 + 11 = 39 
 4 21 3 11  
 
 B U O Y ? 2 + 21 + 15 + 25 = 63 
 2 21 15 25  
 
3. 3 
3. K I N G : C A S T 
 11 9 14 7  3 1 19 20  
  41   ?  43 
 
 B U R Y : S U R E 
 2 21 18 25  19 21 18 5  
  66   ?  63 
 
 R I C H : B O A T 
 18 9 3 8  2 15 1 20  
  38   =  38 
 
 B L U E : C A N T 
 2 12 21 5  3 1 14 20  
  40   ?  38 
 
4. 2 
4. X + Y = 24 + 25 = 49 ? 50 
 Z – T = 26 – 20 = 6 = 6 
 B ? V = 2 ? 22 = 44 ? 41 
 R ? I = 18 ? 9 = 2 ? 5 
 
5. 4 
5. M O N K E Y ? 13 + 15 + 14 + 11 + 5 + 25 = 83 
 13 15 14 11 5 25 
 
 D O G  J A C K Y ?  4 + 15 + 7 + 10 + 1 + 3 + 11 + 25 = 76 
Page 3


 
   
 
 
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
MATHEMATICAL APTITUDE TEST (MAT) 
 
 ANSWER KEYS (SET – C) 
 
1. 4  2. 4  3. 3  4. 2 
5. 4  6. 3  7. ?  8. 1   
9. 1  10. 3  11. 4  12. 3   
13. 4  14. 2  15. 1  16. 3   
17. 3  18. 1  19. 1  20. 3   
21. 1  22. 1  23. 1 or 3  24. 3   
25. 2  26. 3  27. 1  28. 2   
29. 2  30. 1  31. 3  32. ? 
33. 4  34. 2  35. 4  36. 2   
37. 3  38. 1  39. 1  40. 4   
41. 1  42. 3  43. 1  44. 4   
45. 3  46. 2  47. 4  48. 1   
49. ?  50. 3  51. 2  52. 4   
53. ?  54. 4  55. 3  56. 2   
57. ?  58. 2  59. 3  60. 4   
61. 4  62. 1  63. 3  64. 4   
65. 4  66. 2  67. 1  68. ?  
 69. 3  70. 2  71. 2  72. ? 
73. 1  74. 1  75. 2  76. 4 
77. 3  78. 2  79. 2  80. 1 
81. 1  82. 1  83. 2  84. 1 
85. 3  86. 4  87. 2  88. 3    
89. 3  90. 2  91. 1  92. 2 
93. 3  94. 1  95. 2  96. 1 
97. 4  98. 1  99. ?  100. 3 
* No option is correct 
 
 
 
 
   
 
 
 
MATHEMATICAL APTITUDE TEST (MAT) 
 HINTS & SOLUTIONS (SET – C) 
 
1. 4 
1. B U S H ? 2 + 21 + 19 + 8 = 50 
 2 21 19 8  
 
 C A M P ? 3 + 1 + 13 + 16 = 33 
 3 1 13 16 
 
 Similarly L I K E ? 12 + 9 + 11 + 5 = 37 
  12 9 11 5  
 
2. 4 
2. B U R N ? 2 + 21 + 18 + 14 = 55 
 2 21 18 14  
 
 C U R T ? 3 + 21 + 18 + 20 = 62 
 3 21 18 20  
 
 D U C K ? 4 + 21 + 3 + 11 = 39 
 4 21 3 11  
 
 B U O Y ? 2 + 21 + 15 + 25 = 63 
 2 21 15 25  
 
3. 3 
3. K I N G : C A S T 
 11 9 14 7  3 1 19 20  
  41   ?  43 
 
 B U R Y : S U R E 
 2 21 18 25  19 21 18 5  
  66   ?  63 
 
 R I C H : B O A T 
 18 9 3 8  2 15 1 20  
  38   =  38 
 
 B L U E : C A N T 
 2 12 21 5  3 1 14 20  
  40   ?  38 
 
4. 2 
4. X + Y = 24 + 25 = 49 ? 50 
 Z – T = 26 – 20 = 6 = 6 
 B ? V = 2 ? 22 = 44 ? 41 
 R ? I = 18 ? 9 = 2 ? 5 
 
5. 4 
5. M O N K E Y ? 13 + 15 + 14 + 11 + 5 + 25 = 83 
 13 15 14 11 5 25 
 
 D O G  J A C K Y ?  4 + 15 + 7 + 10 + 1 + 3 + 11 + 25 = 76 
 
   
 
 
 4 15 7  10 1 3 11 25 
 
 H A I  H A P P Y ?  8 + 1 + 9 + 8 + 1 + 16 + 16 + 25 = 84 
 8 1 9  8 1 16 16 25 
  
 S O   L U C K Y ?  19 + 15 + 12 + 21 + 3 + 11 + 25 = 106 
 19 15   12 21 3 11 25 
 
6. 3 
6. T +  E  = Y   
 20 + 5   = 25  
 
 O +  K  = Z   
 15 + 11 = 26 
  
 Similarly 
 
 R + G = Y   
 18 + 7  = 25 
 
7. ? No option is correct 
7. In every 2 hours, hour hand & min. hand will be 4 times at right angles i.e. in 24 hours 48 
times, but between 2:00 (am/pm) & 4:00 (am/pm) and between 8:00 (am/pm) & 10:00 
(am/pm) they form right angle only 3 times.  
 ? In 24 hours right angle between hands will be formed 44 times. 
 
8. 1 
8. Speed = 92.7 km/h = 
5
92.7 m / sec
18
? ? 25.75 m/sec 
 
 Time = 17 min  = 17 ? 60 = 1020 sec 
? Distance  = Speed ? Time 
    = 25.75 ? 1020 ? 26265 m  
 
9. 1 
 
9. Mie  pie  =  blue light 
  
 Mie  tie  =  blue berry 
 
 aie  tie  =  rasp berry 
 
 Clearly, light fly = pie zie  
 
 
Page 4


 
   
 
 
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
MATHEMATICAL APTITUDE TEST (MAT) 
 
 ANSWER KEYS (SET – C) 
 
1. 4  2. 4  3. 3  4. 2 
5. 4  6. 3  7. ?  8. 1   
9. 1  10. 3  11. 4  12. 3   
13. 4  14. 2  15. 1  16. 3   
17. 3  18. 1  19. 1  20. 3   
21. 1  22. 1  23. 1 or 3  24. 3   
25. 2  26. 3  27. 1  28. 2   
29. 2  30. 1  31. 3  32. ? 
33. 4  34. 2  35. 4  36. 2   
37. 3  38. 1  39. 1  40. 4   
41. 1  42. 3  43. 1  44. 4   
45. 3  46. 2  47. 4  48. 1   
49. ?  50. 3  51. 2  52. 4   
53. ?  54. 4  55. 3  56. 2   
57. ?  58. 2  59. 3  60. 4   
61. 4  62. 1  63. 3  64. 4   
65. 4  66. 2  67. 1  68. ?  
 69. 3  70. 2  71. 2  72. ? 
73. 1  74. 1  75. 2  76. 4 
77. 3  78. 2  79. 2  80. 1 
81. 1  82. 1  83. 2  84. 1 
85. 3  86. 4  87. 2  88. 3    
89. 3  90. 2  91. 1  92. 2 
93. 3  94. 1  95. 2  96. 1 
97. 4  98. 1  99. ?  100. 3 
* No option is correct 
 
 
 
 
   
 
 
 
MATHEMATICAL APTITUDE TEST (MAT) 
 HINTS & SOLUTIONS (SET – C) 
 
1. 4 
1. B U S H ? 2 + 21 + 19 + 8 = 50 
 2 21 19 8  
 
 C A M P ? 3 + 1 + 13 + 16 = 33 
 3 1 13 16 
 
 Similarly L I K E ? 12 + 9 + 11 + 5 = 37 
  12 9 11 5  
 
2. 4 
2. B U R N ? 2 + 21 + 18 + 14 = 55 
 2 21 18 14  
 
 C U R T ? 3 + 21 + 18 + 20 = 62 
 3 21 18 20  
 
 D U C K ? 4 + 21 + 3 + 11 = 39 
 4 21 3 11  
 
 B U O Y ? 2 + 21 + 15 + 25 = 63 
 2 21 15 25  
 
3. 3 
3. K I N G : C A S T 
 11 9 14 7  3 1 19 20  
  41   ?  43 
 
 B U R Y : S U R E 
 2 21 18 25  19 21 18 5  
  66   ?  63 
 
 R I C H : B O A T 
 18 9 3 8  2 15 1 20  
  38   =  38 
 
 B L U E : C A N T 
 2 12 21 5  3 1 14 20  
  40   ?  38 
 
4. 2 
4. X + Y = 24 + 25 = 49 ? 50 
 Z – T = 26 – 20 = 6 = 6 
 B ? V = 2 ? 22 = 44 ? 41 
 R ? I = 18 ? 9 = 2 ? 5 
 
5. 4 
5. M O N K E Y ? 13 + 15 + 14 + 11 + 5 + 25 = 83 
 13 15 14 11 5 25 
 
 D O G  J A C K Y ?  4 + 15 + 7 + 10 + 1 + 3 + 11 + 25 = 76 
 
   
 
 
 4 15 7  10 1 3 11 25 
 
 H A I  H A P P Y ?  8 + 1 + 9 + 8 + 1 + 16 + 16 + 25 = 84 
 8 1 9  8 1 16 16 25 
  
 S O   L U C K Y ?  19 + 15 + 12 + 21 + 3 + 11 + 25 = 106 
 19 15   12 21 3 11 25 
 
6. 3 
6. T +  E  = Y   
 20 + 5   = 25  
 
 O +  K  = Z   
 15 + 11 = 26 
  
 Similarly 
 
 R + G = Y   
 18 + 7  = 25 
 
7. ? No option is correct 
7. In every 2 hours, hour hand & min. hand will be 4 times at right angles i.e. in 24 hours 48 
times, but between 2:00 (am/pm) & 4:00 (am/pm) and between 8:00 (am/pm) & 10:00 
(am/pm) they form right angle only 3 times.  
 ? In 24 hours right angle between hands will be formed 44 times. 
 
8. 1 
8. Speed = 92.7 km/h = 
5
92.7 m / sec
18
? ? 25.75 m/sec 
 
 Time = 17 min  = 17 ? 60 = 1020 sec 
? Distance  = Speed ? Time 
    = 25.75 ? 1020 ? 26265 m  
 
9. 1 
 
9. Mie  pie  =  blue light 
  
 Mie  tie  =  blue berry 
 
 aie  tie  =  rasp berry 
 
 Clearly, light fly = pie zie  
 
 
 
   
 
 
10. 3 
10. S T U D E N T  
 –1 –1 –1 +1 –1 –1 –1 
 R S T E D M S  
 
 Similarly 
 
 T E A C H E R  
 –1 –1 –1 +1 –1 –1 –1 
 S D Z D G D Q  
  
11. 4 
11. C H A I R   
 +3 +3 +3 +3 +3  
 F K D L U  
 
  Similarly, 
 
 R A I D   
 +3 +3 +3 +3   
 U D L G  
 
12. 3 
12. H N D T   
  l  l  l  l  
 3 6 9 4 
 Similarly, 
 T H D    
  l  l  l  (Direct letter coding)   
 4 3 9  
 
13. 4  
13. Written in reverse order: 
 
I N K P O T
I N K P O T
 
 
14. 2 
14. Athletes among youth who are not footballers are represented the letter which common to 
rectangle & circle but not triangle i.e. ‘g’. 
 
15. 1 
15. 
clock
Alarm
Birds
cuckoo
clock
Alarm
Birds
cuckoo
Or
 
Page 5


 
   
 
 
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
MATHEMATICAL APTITUDE TEST (MAT) 
 
 ANSWER KEYS (SET – C) 
 
1. 4  2. 4  3. 3  4. 2 
5. 4  6. 3  7. ?  8. 1   
9. 1  10. 3  11. 4  12. 3   
13. 4  14. 2  15. 1  16. 3   
17. 3  18. 1  19. 1  20. 3   
21. 1  22. 1  23. 1 or 3  24. 3   
25. 2  26. 3  27. 1  28. 2   
29. 2  30. 1  31. 3  32. ? 
33. 4  34. 2  35. 4  36. 2   
37. 3  38. 1  39. 1  40. 4   
41. 1  42. 3  43. 1  44. 4   
45. 3  46. 2  47. 4  48. 1   
49. ?  50. 3  51. 2  52. 4   
53. ?  54. 4  55. 3  56. 2   
57. ?  58. 2  59. 3  60. 4   
61. 4  62. 1  63. 3  64. 4   
65. 4  66. 2  67. 1  68. ?  
 69. 3  70. 2  71. 2  72. ? 
73. 1  74. 1  75. 2  76. 4 
77. 3  78. 2  79. 2  80. 1 
81. 1  82. 1  83. 2  84. 1 
85. 3  86. 4  87. 2  88. 3    
89. 3  90. 2  91. 1  92. 2 
93. 3  94. 1  95. 2  96. 1 
97. 4  98. 1  99. ?  100. 3 
* No option is correct 
 
 
 
 
   
 
 
 
MATHEMATICAL APTITUDE TEST (MAT) 
 HINTS & SOLUTIONS (SET – C) 
 
1. 4 
1. B U S H ? 2 + 21 + 19 + 8 = 50 
 2 21 19 8  
 
 C A M P ? 3 + 1 + 13 + 16 = 33 
 3 1 13 16 
 
 Similarly L I K E ? 12 + 9 + 11 + 5 = 37 
  12 9 11 5  
 
2. 4 
2. B U R N ? 2 + 21 + 18 + 14 = 55 
 2 21 18 14  
 
 C U R T ? 3 + 21 + 18 + 20 = 62 
 3 21 18 20  
 
 D U C K ? 4 + 21 + 3 + 11 = 39 
 4 21 3 11  
 
 B U O Y ? 2 + 21 + 15 + 25 = 63 
 2 21 15 25  
 
3. 3 
3. K I N G : C A S T 
 11 9 14 7  3 1 19 20  
  41   ?  43 
 
 B U R Y : S U R E 
 2 21 18 25  19 21 18 5  
  66   ?  63 
 
 R I C H : B O A T 
 18 9 3 8  2 15 1 20  
  38   =  38 
 
 B L U E : C A N T 
 2 12 21 5  3 1 14 20  
  40   ?  38 
 
4. 2 
4. X + Y = 24 + 25 = 49 ? 50 
 Z – T = 26 – 20 = 6 = 6 
 B ? V = 2 ? 22 = 44 ? 41 
 R ? I = 18 ? 9 = 2 ? 5 
 
5. 4 
5. M O N K E Y ? 13 + 15 + 14 + 11 + 5 + 25 = 83 
 13 15 14 11 5 25 
 
 D O G  J A C K Y ?  4 + 15 + 7 + 10 + 1 + 3 + 11 + 25 = 76 
 
   
 
 
 4 15 7  10 1 3 11 25 
 
 H A I  H A P P Y ?  8 + 1 + 9 + 8 + 1 + 16 + 16 + 25 = 84 
 8 1 9  8 1 16 16 25 
  
 S O   L U C K Y ?  19 + 15 + 12 + 21 + 3 + 11 + 25 = 106 
 19 15   12 21 3 11 25 
 
6. 3 
6. T +  E  = Y   
 20 + 5   = 25  
 
 O +  K  = Z   
 15 + 11 = 26 
  
 Similarly 
 
 R + G = Y   
 18 + 7  = 25 
 
7. ? No option is correct 
7. In every 2 hours, hour hand & min. hand will be 4 times at right angles i.e. in 24 hours 48 
times, but between 2:00 (am/pm) & 4:00 (am/pm) and between 8:00 (am/pm) & 10:00 
(am/pm) they form right angle only 3 times.  
 ? In 24 hours right angle between hands will be formed 44 times. 
 
8. 1 
8. Speed = 92.7 km/h = 
5
92.7 m / sec
18
? ? 25.75 m/sec 
 
 Time = 17 min  = 17 ? 60 = 1020 sec 
? Distance  = Speed ? Time 
    = 25.75 ? 1020 ? 26265 m  
 
9. 1 
 
9. Mie  pie  =  blue light 
  
 Mie  tie  =  blue berry 
 
 aie  tie  =  rasp berry 
 
 Clearly, light fly = pie zie  
 
 
 
   
 
 
10. 3 
10. S T U D E N T  
 –1 –1 –1 +1 –1 –1 –1 
 R S T E D M S  
 
 Similarly 
 
 T E A C H E R  
 –1 –1 –1 +1 –1 –1 –1 
 S D Z D G D Q  
  
11. 4 
11. C H A I R   
 +3 +3 +3 +3 +3  
 F K D L U  
 
  Similarly, 
 
 R A I D   
 +3 +3 +3 +3   
 U D L G  
 
12. 3 
12. H N D T   
  l  l  l  l  
 3 6 9 4 
 Similarly, 
 T H D    
  l  l  l  (Direct letter coding)   
 4 3 9  
 
13. 4  
13. Written in reverse order: 
 
I N K P O T
I N K P O T
 
 
14. 2 
14. Athletes among youth who are not footballers are represented the letter which common to 
rectangle & circle but not triangle i.e. ‘g’. 
 
15. 1 
15. 
clock
Alarm
Birds
cuckoo
clock
Alarm
Birds
cuckoo
Or
 
 
   
 
 
 
16. 3 
16. 12
2 
+ 5
2
 = 13
2
 
 15
2
 + 8
2
 = 17
2
 
Similarly, 
 40
2
 + 9
2
 = 41
2
 
 
17. 3 
17. As per observation 
  
18. 1  
18. As per observation 
 
19. 1  
19. As per observation 
 
20. 3  
20. As per observation 
 
21. 1 
21. As per observation. 
 
22. 1 
22. As per observation. 
 
23. 1 or 3 
23. If we consider option 1 then size of lines is short, and if we consider option 3 then proper 
circle is not formed. 
 
24. 3 
24. As per observation. 
 
25. 2 
25. As per observation 
 
26. 3 
26. As per observation. 
 
27. 1 
27. As per observation. 
 
28. 2 
28. As per observation 
 
29. 2 
29. CI, AJ, ED, FB, JD, IB, CF, AE, AC, GH, BD, AB, CD. 
 
30. 1 
30. 
 
E F 
B A 
G 
O 
C 
H 
D 
J I 
L
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