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NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
SET - C 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. By observation. 
 
2. 1 
2. 1
st
 figure + 3
rd
 figure = 2
nd
 figure  
 
3. 3 
3. The pattern is bcab / bcab / bcab / bcab / bcab 
 
4. 4 
4. The time taken will be 
30 60 5
5
55 11 11
? ? min. 
 So, required time is 7: 
5
5
11
 
 
5. 4 
5. Number of quadrilaterals = 13 
 
 
c 
b 
a 
e 
f 
g
?
d 
 
 Quadrilaterals are: d, e, ab, ef, de, bd, abc, abd, bcde, defg, abcde, bcdefg, abcdefg. 
 
6. 4 
6. As per observation 
 
7. 1 
7. F is the wife of M who is the father of K. 
 F3M5K 
 
8. 4 
8. The possible venn diagram are 
 
 
Keys  Staplers  
Pens 
Stickers 
OR 
Keys  
Staplers  
Stickers 
Pens 
 
 
 So, I and IV follows and either II or III follow. 
  
 
9. 3 or 4 
9. Two options are possible with the following logic: 
Page 2


 
  
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
SET - C 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. By observation. 
 
2. 1 
2. 1
st
 figure + 3
rd
 figure = 2
nd
 figure  
 
3. 3 
3. The pattern is bcab / bcab / bcab / bcab / bcab 
 
4. 4 
4. The time taken will be 
30 60 5
5
55 11 11
? ? min. 
 So, required time is 7: 
5
5
11
 
 
5. 4 
5. Number of quadrilaterals = 13 
 
 
c 
b 
a 
e 
f 
g
?
d 
 
 Quadrilaterals are: d, e, ab, ef, de, bd, abc, abd, bcde, defg, abcde, bcdefg, abcdefg. 
 
6. 4 
6. As per observation 
 
7. 1 
7. F is the wife of M who is the father of K. 
 F3M5K 
 
8. 4 
8. The possible venn diagram are 
 
 
Keys  Staplers  
Pens 
Stickers 
OR 
Keys  
Staplers  
Stickers 
Pens 
 
 
 So, I and IV follows and either II or III follow. 
  
 
9. 3 or 4 
9. Two options are possible with the following logic: 
 
  
 ? ?
2
2 2
123 11 2 13 11 2 and ? ? ? ?  
 ? ?
2
2 2
235 15 10 15 10 25 answer ? ? ? ? ? ? 
 Also,  
 ? ?
2
123 13 ? means (first digit / last digit) second digit 
 Similarly 235 will means ? ?
3
25 
 
 
10. 3 
10.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
11. 4 
11.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
12. 2 
12.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
13. 1 
13.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
14. 1 
14. The numbers are 4, 24, 40, 44, 48 
 
15. 1 
15. 1, 3, 9,; 2, 5, 6,; 4, 7, 8 
 
16. 3 
16. Mirror image will be formed on each fold, so by observation we can say 3
rd
 image will be 
formed. 
 
17. 4 
17. Z = 26 
 ACT = 2 + 6 + 40 = 48 
 BAT = 4 + 2 + 40 = 46 
 
18. 1 
18. Correct order is Torque, Torrid, Torso, Tortoise, Tortuous  
 
19. 3 
19. By observation. 
 
20. 4 
Page 3


 
  
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
SET - C 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. By observation. 
 
2. 1 
2. 1
st
 figure + 3
rd
 figure = 2
nd
 figure  
 
3. 3 
3. The pattern is bcab / bcab / bcab / bcab / bcab 
 
4. 4 
4. The time taken will be 
30 60 5
5
55 11 11
? ? min. 
 So, required time is 7: 
5
5
11
 
 
5. 4 
5. Number of quadrilaterals = 13 
 
 
c 
b 
a 
e 
f 
g
?
d 
 
 Quadrilaterals are: d, e, ab, ef, de, bd, abc, abd, bcde, defg, abcde, bcdefg, abcdefg. 
 
6. 4 
6. As per observation 
 
7. 1 
7. F is the wife of M who is the father of K. 
 F3M5K 
 
8. 4 
8. The possible venn diagram are 
 
 
Keys  Staplers  
Pens 
Stickers 
OR 
Keys  
Staplers  
Stickers 
Pens 
 
 
 So, I and IV follows and either II or III follow. 
  
 
9. 3 or 4 
9. Two options are possible with the following logic: 
 
  
 ? ?
2
2 2
123 11 2 13 11 2 and ? ? ? ?  
 ? ?
2
2 2
235 15 10 15 10 25 answer ? ? ? ? ? ? 
 Also,  
 ? ?
2
123 13 ? means (first digit / last digit) second digit 
 Similarly 235 will means ? ?
3
25 
 
 
10. 3 
10.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
11. 4 
11.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
12. 2 
12.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
13. 1 
13.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
14. 1 
14. The numbers are 4, 24, 40, 44, 48 
 
15. 1 
15. 1, 3, 9,; 2, 5, 6,; 4, 7, 8 
 
16. 3 
16. Mirror image will be formed on each fold, so by observation we can say 3
rd
 image will be 
formed. 
 
17. 4 
17. Z = 26 
 ACT = 2 + 6 + 40 = 48 
 BAT = 4 + 2 + 40 = 46 
 
18. 1 
18. Correct order is Torque, Torrid, Torso, Tortoise, Tortuous  
 
19. 3 
19. By observation. 
 
20. 4 
 
  
20. Rapid and slow are antonyms whereas the other pairs of words are either very similar or 
almost same in intensity. 
 
21. 2 
21. By observation. 
 
22. 4 
22. 
 
128 160 
216 
40 56 
16 
24 
Math / 224 Science / 240 
Sports /336 
 
 Total – 880 
 Who participates – 880 – (128 + 160 + 216 + 24 + 16 + 56 + 40) 
 880 – 640 = 240 
 Not participate – 240 
 
240
100 27 27
880
. ? ? 
 
 
23. 3 
23. Who choose only one subject = (128 + 160 + 216) = 504 
 
504
100 57 27
880
. ? ? < 60 
 
24. 1 
24. Total hours ? (24 x 3) + 17 = 89 hrs 
 = 
44
23
60
? hrs of faulty time =  24 hrs of true time 
 = 
356
24
15
hrs hrs ? 
 1 hr ? 
24 15
356
?
 
 89 hrs ? 
24 15
89 90
356
hrs
?
? ? 
 So, true time is 1 hrs more than faulty time 10 pm  + 1 hr = 11 pm 
 
25. 2 
25. By observation 
 
26. 4 
26. In first row 4 + 2 = 6 ? 2 = 3 
 In second row 5 + 3 + 1 + 1 = 10 ? 2 = 5 
 In third row 6 + 1 + 2 + 3 + 3 + 1 = 16 ? 2 = 8 
Page 4


 
  
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
SET - C 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. By observation. 
 
2. 1 
2. 1
st
 figure + 3
rd
 figure = 2
nd
 figure  
 
3. 3 
3. The pattern is bcab / bcab / bcab / bcab / bcab 
 
4. 4 
4. The time taken will be 
30 60 5
5
55 11 11
? ? min. 
 So, required time is 7: 
5
5
11
 
 
5. 4 
5. Number of quadrilaterals = 13 
 
 
c 
b 
a 
e 
f 
g
?
d 
 
 Quadrilaterals are: d, e, ab, ef, de, bd, abc, abd, bcde, defg, abcde, bcdefg, abcdefg. 
 
6. 4 
6. As per observation 
 
7. 1 
7. F is the wife of M who is the father of K. 
 F3M5K 
 
8. 4 
8. The possible venn diagram are 
 
 
Keys  Staplers  
Pens 
Stickers 
OR 
Keys  
Staplers  
Stickers 
Pens 
 
 
 So, I and IV follows and either II or III follow. 
  
 
9. 3 or 4 
9. Two options are possible with the following logic: 
 
  
 ? ?
2
2 2
123 11 2 13 11 2 and ? ? ? ?  
 ? ?
2
2 2
235 15 10 15 10 25 answer ? ? ? ? ? ? 
 Also,  
 ? ?
2
123 13 ? means (first digit / last digit) second digit 
 Similarly 235 will means ? ?
3
25 
 
 
10. 3 
10.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
11. 4 
11.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
12. 2 
12.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
13. 1 
13.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
14. 1 
14. The numbers are 4, 24, 40, 44, 48 
 
15. 1 
15. 1, 3, 9,; 2, 5, 6,; 4, 7, 8 
 
16. 3 
16. Mirror image will be formed on each fold, so by observation we can say 3
rd
 image will be 
formed. 
 
17. 4 
17. Z = 26 
 ACT = 2 + 6 + 40 = 48 
 BAT = 4 + 2 + 40 = 46 
 
18. 1 
18. Correct order is Torque, Torrid, Torso, Tortoise, Tortuous  
 
19. 3 
19. By observation. 
 
20. 4 
 
  
20. Rapid and slow are antonyms whereas the other pairs of words are either very similar or 
almost same in intensity. 
 
21. 2 
21. By observation. 
 
22. 4 
22. 
 
128 160 
216 
40 56 
16 
24 
Math / 224 Science / 240 
Sports /336 
 
 Total – 880 
 Who participates – 880 – (128 + 160 + 216 + 24 + 16 + 56 + 40) 
 880 – 640 = 240 
 Not participate – 240 
 
240
100 27 27
880
. ? ? 
 
 
23. 3 
23. Who choose only one subject = (128 + 160 + 216) = 504 
 
504
100 57 27
880
. ? ? < 60 
 
24. 1 
24. Total hours ? (24 x 3) + 17 = 89 hrs 
 = 
44
23
60
? hrs of faulty time =  24 hrs of true time 
 = 
356
24
15
hrs hrs ? 
 1 hr ? 
24 15
356
?
 
 89 hrs ? 
24 15
89 90
356
hrs
?
? ? 
 So, true time is 1 hrs more than faulty time 10 pm  + 1 hr = 11 pm 
 
25. 2 
25. By observation 
 
26. 4 
26. In first row 4 + 2 = 6 ? 2 = 3 
 In second row 5 + 3 + 1 + 1 = 10 ? 2 = 5 
 In third row 6 + 1 + 2 + 3 + 3 + 1 = 16 ? 2 = 8 
 
  
 In fourth row 7 + 2 + 4 + 3 = 16 ? 2 = 8 
 So, 9 + 3 = 12 ? 2 = 6  
 
27. 3 
27. By observation  
 
28. 3 
28. Advertisement ? Application ? Interview ? Selection ? Appointment ? Probation  
 
29. 3 
29. Malaria is a disease in a same way spear is a weapon. 
 
30. 2 
30. 
 
Tennis Rugby 
Soccer 
 
 
31. 3 
31. 
 
F 
E 
B C 
Granddaughter  
 
 
32. 4 
32. ? ? O O, ? ? O O O  
 So, ? ? ? O O O O  
 
33. 4 
33. By observation  
 
34. No option correct 
34. By observation  
 
35. 3 
35. By observation  
 
36. 3 
36. By observation  
 
37. 3 
37. By observation. 
 
38. 4 
38. Let sons age 10 years age be x. 
 Fathers age 10 year ago = 3x 
Page 5


 
  
NTSE STAGE – I (HARYANA STATE) 
 (For Class – X) 
SET - C 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. By observation. 
 
2. 1 
2. 1
st
 figure + 3
rd
 figure = 2
nd
 figure  
 
3. 3 
3. The pattern is bcab / bcab / bcab / bcab / bcab 
 
4. 4 
4. The time taken will be 
30 60 5
5
55 11 11
? ? min. 
 So, required time is 7: 
5
5
11
 
 
5. 4 
5. Number of quadrilaterals = 13 
 
 
c 
b 
a 
e 
f 
g
?
d 
 
 Quadrilaterals are: d, e, ab, ef, de, bd, abc, abd, bcde, defg, abcde, bcdefg, abcdefg. 
 
6. 4 
6. As per observation 
 
7. 1 
7. F is the wife of M who is the father of K. 
 F3M5K 
 
8. 4 
8. The possible venn diagram are 
 
 
Keys  Staplers  
Pens 
Stickers 
OR 
Keys  
Staplers  
Stickers 
Pens 
 
 
 So, I and IV follows and either II or III follow. 
  
 
9. 3 or 4 
9. Two options are possible with the following logic: 
 
  
 ? ?
2
2 2
123 11 2 13 11 2 and ? ? ? ?  
 ? ?
2
2 2
235 15 10 15 10 25 answer ? ? ? ? ? ? 
 Also,  
 ? ?
2
123 13 ? means (first digit / last digit) second digit 
 Similarly 235 will means ? ?
3
25 
 
 
10. 3 
10.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
11. 4 
11.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
12. 2 
12.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
13. 1 
13.  
8      7       6       5       4        3       2      1 
A      B      D      F       E       C       G     H 
Ground Top 
 
 
14. 1 
14. The numbers are 4, 24, 40, 44, 48 
 
15. 1 
15. 1, 3, 9,; 2, 5, 6,; 4, 7, 8 
 
16. 3 
16. Mirror image will be formed on each fold, so by observation we can say 3
rd
 image will be 
formed. 
 
17. 4 
17. Z = 26 
 ACT = 2 + 6 + 40 = 48 
 BAT = 4 + 2 + 40 = 46 
 
18. 1 
18. Correct order is Torque, Torrid, Torso, Tortoise, Tortuous  
 
19. 3 
19. By observation. 
 
20. 4 
 
  
20. Rapid and slow are antonyms whereas the other pairs of words are either very similar or 
almost same in intensity. 
 
21. 2 
21. By observation. 
 
22. 4 
22. 
 
128 160 
216 
40 56 
16 
24 
Math / 224 Science / 240 
Sports /336 
 
 Total – 880 
 Who participates – 880 – (128 + 160 + 216 + 24 + 16 + 56 + 40) 
 880 – 640 = 240 
 Not participate – 240 
 
240
100 27 27
880
. ? ? 
 
 
23. 3 
23. Who choose only one subject = (128 + 160 + 216) = 504 
 
504
100 57 27
880
. ? ? < 60 
 
24. 1 
24. Total hours ? (24 x 3) + 17 = 89 hrs 
 = 
44
23
60
? hrs of faulty time =  24 hrs of true time 
 = 
356
24
15
hrs hrs ? 
 1 hr ? 
24 15
356
?
 
 89 hrs ? 
24 15
89 90
356
hrs
?
? ? 
 So, true time is 1 hrs more than faulty time 10 pm  + 1 hr = 11 pm 
 
25. 2 
25. By observation 
 
26. 4 
26. In first row 4 + 2 = 6 ? 2 = 3 
 In second row 5 + 3 + 1 + 1 = 10 ? 2 = 5 
 In third row 6 + 1 + 2 + 3 + 3 + 1 = 16 ? 2 = 8 
 
  
 In fourth row 7 + 2 + 4 + 3 = 16 ? 2 = 8 
 So, 9 + 3 = 12 ? 2 = 6  
 
27. 3 
27. By observation  
 
28. 3 
28. Advertisement ? Application ? Interview ? Selection ? Appointment ? Probation  
 
29. 3 
29. Malaria is a disease in a same way spear is a weapon. 
 
30. 2 
30. 
 
Tennis Rugby 
Soccer 
 
 
31. 3 
31. 
 
F 
E 
B C 
Granddaughter  
 
 
32. 4 
32. ? ? O O, ? ? O O O  
 So, ? ? ? O O O O  
 
33. 4 
33. By observation  
 
34. No option correct 
34. By observation  
 
35. 3 
35. By observation  
 
36. 3 
36. By observation  
 
37. 3 
37. By observation. 
 
38. 4 
38. Let sons age 10 years age be x. 
 Fathers age 10 year ago = 3x 
 
  
 ? ? ? ? 2 20 3 20 x x ? ? ? 
 x = 20 
 10 year ago father’s age = 60 years and son’s age = 20 years 
 Ratio of their present age = 70 : 30 = 7:3 
39. 1 or 4 
39. 
  
 
 
40. 3 
40. In a single carom tournament, there is only one winner so 79 students should be eliminated 
by 79 matches. 
 
41. 2 
41. In 1hr it climbs 5 m 
 ? in 8 hrs it climbs 40  m 
 ? in 9
th
 hr it will first touch 50 cm 
 
42. 3 
42. 
 
Bus  Traveller Train 
 
43. 1 
43. 
 
Blue  
Red  
Orange  
Black 
White Yellow 
 
 
44. 3 
44. 
 
4,          5,             8,       17,               44,          125 
+1 +3 +9 +27 +81 
 
 
45. 3 
45. 5 x 8 = 40 
 6 x 8 = 48 
 9 x 8 = 72 
 
46. 2 
46. x ? + 
 < ? –  
 + ? ?

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