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Maharashtra: State Level Solutions (MAT) - 2017-18

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NATIONAL TALENT SEARCH EXAMINATION, 2017-18 
 
MENTAL ABILITY ANSWER KEY 
 
QUE. 1 2 3 4 5 6 7 8 9 10 
ANS.  1 4 1 4 2 4 3 1 4 1 
  
          
QUE. 11 12 13 14 15 16 17 18 19 20 
ANS.  2 2 1 3 2 2 4 3 4 3 
  
          
QUE. 21 22 23 24 25 26 27 28 29 30 
ANS.  3 1 3 2  2  3 1 3 2 4 
  
          
QUE. 31 32 33 34 35 36 37 38 39 40 
ANS.  3 1 3 2 3 4 2 3 1 1 
  
          
QUE. 41 42 43 44 45 46 47 48 49 50 
ANS.  2 1 4 2,4 2 1 1 3 4 3 
 
MENTAL ABILITY SOLUTIONS 
 
1. (1) FN 
Logic B J D L H P P   X F   N 
 2 10 4 12 8 16 16 24 32 40 
 32 = 26 + 6 = F 
 40 = 26 + 14 = N 
 
2. (4) 
+4 +4 +4 +4 
AYCD EUGH IQKL MZBC 
 MZBC 
 (3
rd 
placed – 1) will give 2
nd
 place and opposite like B – 1 = A opposite Z. 
 
3. (1) 
 Only 141 is not a prime no. 
 
4. (4) 
 Sum of all number 
 6 + 1 + 3 + 1 = 11 
 2 + 1 + 9 + 1 ? 13 
 3 + 3 + 1 + 2 ? 9 
 3 + 1 + 6 + 4 ? 14 (14 is even) 
 
5. (2)  
4 8 12 16 
D H L P 
6 14 21 28 
F N U B 
11 22 33 44 
K V G R 
Page 2


     
  
 
  
 
 
NATIONAL TALENT SEARCH EXAMINATION, 2017-18 
 
MENTAL ABILITY ANSWER KEY 
 
QUE. 1 2 3 4 5 6 7 8 9 10 
ANS.  1 4 1 4 2 4 3 1 4 1 
  
          
QUE. 11 12 13 14 15 16 17 18 19 20 
ANS.  2 2 1 3 2 2 4 3 4 3 
  
          
QUE. 21 22 23 24 25 26 27 28 29 30 
ANS.  3 1 3 2  2  3 1 3 2 4 
  
          
QUE. 31 32 33 34 35 36 37 38 39 40 
ANS.  3 1 3 2 3 4 2 3 1 1 
  
          
QUE. 41 42 43 44 45 46 47 48 49 50 
ANS.  2 1 4 2,4 2 1 1 3 4 3 
 
MENTAL ABILITY SOLUTIONS 
 
1. (1) FN 
Logic B J D L H P P   X F   N 
 2 10 4 12 8 16 16 24 32 40 
 32 = 26 + 6 = F 
 40 = 26 + 14 = N 
 
2. (4) 
+4 +4 +4 +4 
AYCD EUGH IQKL MZBC 
 MZBC 
 (3
rd 
placed – 1) will give 2
nd
 place and opposite like B – 1 = A opposite Z. 
 
3. (1) 
 Only 141 is not a prime no. 
 
4. (4) 
 Sum of all number 
 6 + 1 + 3 + 1 = 11 
 2 + 1 + 9 + 1 ? 13 
 3 + 3 + 1 + 2 ? 9 
 3 + 1 + 6 + 4 ? 14 (14 is even) 
 
5. (2)  
4 8 12 16 
D H L P 
6 14 21 28 
F N U B 
11 22 33 44 
K V G R 
    
  
 
  
 G 33 ? 26 + 7 
 R 26 + 18 ? R 
 
6. (4) 
  
 
 
 
 
 
 
 
7. (3) 
 155 by BODMAS 
 
200
25 20 5 10
5
? ? ? ?  
 
8. (1) 
 4 side divided into 4 
 10 side divided into 10 
 
9. (4) 
 Mirror image + Centre rotating 
 
10. (1) 
  
 
 
 
 
11. (2) 
 
1 6 5
1 3 1
2 3 4
? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ?
 difference 
 Similarly 
5 3 3
2 6 2
7 9 1
  
 
12. (2) 
 Logical 
 
13. (1) 
 
B E A T
28
2 5 1 20 2 5 1 20 7
4
? ? ? ? ? ?  
 Logic ? Sum of all place then divide by 4. 
 
14. (3) 
 Logic Pattern N K M L J O Q P K 
 
15. (2) 
 Logical 
 
16. (2) 
 
S O L V E
0 1 2 3 4 logic
S P N Y I
? ? ? ? ?  
 
17. (4) 
 
L A R G E
1 1 1 1 1
K Z Q F D
? ? ? ? ?  
 
18. (3) 
 Logical 
 
M T K A S N 
3 4 1  ,  5 7 2  ,  7 8 1  ,  9 9 0 
+2 +2 +2 
3 + 1 = 4 
5 + 2 = 7 
7 + 1 = 8 
9 + 0 = 9 
Page 3


     
  
 
  
 
 
NATIONAL TALENT SEARCH EXAMINATION, 2017-18 
 
MENTAL ABILITY ANSWER KEY 
 
QUE. 1 2 3 4 5 6 7 8 9 10 
ANS.  1 4 1 4 2 4 3 1 4 1 
  
          
QUE. 11 12 13 14 15 16 17 18 19 20 
ANS.  2 2 1 3 2 2 4 3 4 3 
  
          
QUE. 21 22 23 24 25 26 27 28 29 30 
ANS.  3 1 3 2  2  3 1 3 2 4 
  
          
QUE. 31 32 33 34 35 36 37 38 39 40 
ANS.  3 1 3 2 3 4 2 3 1 1 
  
          
QUE. 41 42 43 44 45 46 47 48 49 50 
ANS.  2 1 4 2,4 2 1 1 3 4 3 
 
MENTAL ABILITY SOLUTIONS 
 
1. (1) FN 
Logic B J D L H P P   X F   N 
 2 10 4 12 8 16 16 24 32 40 
 32 = 26 + 6 = F 
 40 = 26 + 14 = N 
 
2. (4) 
+4 +4 +4 +4 
AYCD EUGH IQKL MZBC 
 MZBC 
 (3
rd 
placed – 1) will give 2
nd
 place and opposite like B – 1 = A opposite Z. 
 
3. (1) 
 Only 141 is not a prime no. 
 
4. (4) 
 Sum of all number 
 6 + 1 + 3 + 1 = 11 
 2 + 1 + 9 + 1 ? 13 
 3 + 3 + 1 + 2 ? 9 
 3 + 1 + 6 + 4 ? 14 (14 is even) 
 
5. (2)  
4 8 12 16 
D H L P 
6 14 21 28 
F N U B 
11 22 33 44 
K V G R 
    
  
 
  
 G 33 ? 26 + 7 
 R 26 + 18 ? R 
 
6. (4) 
  
 
 
 
 
 
 
 
7. (3) 
 155 by BODMAS 
 
200
25 20 5 10
5
? ? ? ?  
 
8. (1) 
 4 side divided into 4 
 10 side divided into 10 
 
9. (4) 
 Mirror image + Centre rotating 
 
10. (1) 
  
 
 
 
 
11. (2) 
 
1 6 5
1 3 1
2 3 4
? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ?
 difference 
 Similarly 
5 3 3
2 6 2
7 9 1
  
 
12. (2) 
 Logical 
 
13. (1) 
 
B E A T
28
2 5 1 20 2 5 1 20 7
4
? ? ? ? ? ?  
 Logic ? Sum of all place then divide by 4. 
 
14. (3) 
 Logic Pattern N K M L J O Q P K 
 
15. (2) 
 Logical 
 
16. (2) 
 
S O L V E
0 1 2 3 4 logic
S P N Y I
? ? ? ? ?  
 
17. (4) 
 
L A R G E
1 1 1 1 1
K Z Q F D
? ? ? ? ?  
 
18. (3) 
 Logical 
 
M T K A S N 
3 4 1  ,  5 7 2  ,  7 8 1  ,  9 9 0 
+2 +2 +2 
3 + 1 = 4 
5 + 2 = 7 
7 + 1 = 8 
9 + 0 = 9 
    
  
 
  
19. (4) 
 Logical 
 
20. (3) 
 8 
 
21. (3) 
 
9 10 34 35
57 58 66 67
61 44 48 63
  
 
22. (1) 
 See the logic of the numbers from pattern. 
 
23. (3) 
 27 ? 2 ? 5 + 2 ? 2 ? 3 + 1 ? 5 
 
24. (2) 
 13 
 
25. (2) 
   
26. (3) 
 N
2
 – 8 
 
27. (1) 
 Logic pattern 
 
28. (3) 
 2 ? 2 + 2 ? 6 
 6 ? 3 + 3 ? 21 
 21 ? 4 + 4 ? 88 
 88 ? 5 + 5 ? 445 
 
29. (2) 
 2
2
 + 2 ? 6 
 3
3
 + 3 ? 30 
 4
2
 + 2 ? 18 
 5
3
 + 3 ? 128 
 6
2
 + 2 ? 38 
 
30. (4) 
 02, 13, 34, 56 
 Check row and column. 
 
31. (3) 
 11, 13, 67, 69 
 Check row and column. 
 
32. (1) 
 1 October was Monday So, 4 November will be Sunday 
 
33. (3) 
 All boxes shifting one down the column. 
 
34. (2) 
 Logical 
 
35. (3) 
 
A M K
18 , 3 , 1
S P J
?
?
? ? ?
?
?
?
  
 Similarly, 
K N M
18 , 3 , 1
C Q L
?
?
? ? ?
?
?
?
 
 
36. (4) 
Page 4


     
  
 
  
 
 
NATIONAL TALENT SEARCH EXAMINATION, 2017-18 
 
MENTAL ABILITY ANSWER KEY 
 
QUE. 1 2 3 4 5 6 7 8 9 10 
ANS.  1 4 1 4 2 4 3 1 4 1 
  
          
QUE. 11 12 13 14 15 16 17 18 19 20 
ANS.  2 2 1 3 2 2 4 3 4 3 
  
          
QUE. 21 22 23 24 25 26 27 28 29 30 
ANS.  3 1 3 2  2  3 1 3 2 4 
  
          
QUE. 31 32 33 34 35 36 37 38 39 40 
ANS.  3 1 3 2 3 4 2 3 1 1 
  
          
QUE. 41 42 43 44 45 46 47 48 49 50 
ANS.  2 1 4 2,4 2 1 1 3 4 3 
 
MENTAL ABILITY SOLUTIONS 
 
1. (1) FN 
Logic B J D L H P P   X F   N 
 2 10 4 12 8 16 16 24 32 40 
 32 = 26 + 6 = F 
 40 = 26 + 14 = N 
 
2. (4) 
+4 +4 +4 +4 
AYCD EUGH IQKL MZBC 
 MZBC 
 (3
rd 
placed – 1) will give 2
nd
 place and opposite like B – 1 = A opposite Z. 
 
3. (1) 
 Only 141 is not a prime no. 
 
4. (4) 
 Sum of all number 
 6 + 1 + 3 + 1 = 11 
 2 + 1 + 9 + 1 ? 13 
 3 + 3 + 1 + 2 ? 9 
 3 + 1 + 6 + 4 ? 14 (14 is even) 
 
5. (2)  
4 8 12 16 
D H L P 
6 14 21 28 
F N U B 
11 22 33 44 
K V G R 
    
  
 
  
 G 33 ? 26 + 7 
 R 26 + 18 ? R 
 
6. (4) 
  
 
 
 
 
 
 
 
7. (3) 
 155 by BODMAS 
 
200
25 20 5 10
5
? ? ? ?  
 
8. (1) 
 4 side divided into 4 
 10 side divided into 10 
 
9. (4) 
 Mirror image + Centre rotating 
 
10. (1) 
  
 
 
 
 
11. (2) 
 
1 6 5
1 3 1
2 3 4
? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ?
 difference 
 Similarly 
5 3 3
2 6 2
7 9 1
  
 
12. (2) 
 Logical 
 
13. (1) 
 
B E A T
28
2 5 1 20 2 5 1 20 7
4
? ? ? ? ? ?  
 Logic ? Sum of all place then divide by 4. 
 
14. (3) 
 Logic Pattern N K M L J O Q P K 
 
15. (2) 
 Logical 
 
16. (2) 
 
S O L V E
0 1 2 3 4 logic
S P N Y I
? ? ? ? ?  
 
17. (4) 
 
L A R G E
1 1 1 1 1
K Z Q F D
? ? ? ? ?  
 
18. (3) 
 Logical 
 
M T K A S N 
3 4 1  ,  5 7 2  ,  7 8 1  ,  9 9 0 
+2 +2 +2 
3 + 1 = 4 
5 + 2 = 7 
7 + 1 = 8 
9 + 0 = 9 
    
  
 
  
19. (4) 
 Logical 
 
20. (3) 
 8 
 
21. (3) 
 
9 10 34 35
57 58 66 67
61 44 48 63
  
 
22. (1) 
 See the logic of the numbers from pattern. 
 
23. (3) 
 27 ? 2 ? 5 + 2 ? 2 ? 3 + 1 ? 5 
 
24. (2) 
 13 
 
25. (2) 
   
26. (3) 
 N
2
 – 8 
 
27. (1) 
 Logic pattern 
 
28. (3) 
 2 ? 2 + 2 ? 6 
 6 ? 3 + 3 ? 21 
 21 ? 4 + 4 ? 88 
 88 ? 5 + 5 ? 445 
 
29. (2) 
 2
2
 + 2 ? 6 
 3
3
 + 3 ? 30 
 4
2
 + 2 ? 18 
 5
3
 + 3 ? 128 
 6
2
 + 2 ? 38 
 
30. (4) 
 02, 13, 34, 56 
 Check row and column. 
 
31. (3) 
 11, 13, 67, 69 
 Check row and column. 
 
32. (1) 
 1 October was Monday So, 4 November will be Sunday 
 
33. (3) 
 All boxes shifting one down the column. 
 
34. (2) 
 Logical 
 
35. (3) 
 
A M K
18 , 3 , 1
S P J
?
?
? ? ?
?
?
?
  
 Similarly, 
K N M
18 , 3 , 1
C Q L
?
?
? ? ?
?
?
?
 
 
36. (4) 
    
  
 
  
 
N 9 M
2 , 2 , 4
P 11 Q
?
?
? ? ?
?
?
?
  
 Similarly, 
K N M
2 , 12 , 4
C Q L
?
?
? ?
?
?
?
 
 
37. (2) 
 6 km (Direction sense test question) 
 
38. (3) 
Logic 0001 0011 0111 1111 
 
39. (1) 
PLAYERS Foot Ball Base Ball Cricket Volley Ball Hockey 
Hemant ? ? ? ? ? 
Madhav ? ? ? ? ? 
Govind ? ? ? ? ? 
Ramesh ? ? ? ? ? 
Anant ? ? ? ? ? 
 
40. (1)  
PLAYERS Foot Ball Base Ball Cricket Volley Ball Hockey 
Hemant ? ? ? ? ? 
Madhav ? ? ? ? ? 
Govind ? ? ? ? ? 
Ramesh ? ? ? ? ? 
Anant ? ? ? ? ? 
 
41. (2) 
 Logical 
 
42. (1) 
 Logical 
 
43. (4) 
 Folding logic 
 
44. (2) & (4) both option are correct 
 
45. (2) 
 
13 1 3 4
So, 10 4 6
19 1 9 10
? ? ? ?
? ?
?
? ? ?
?
  
 Similarly, 
31 3 1 4
So, 10 4 6
37 3 7 10
? ? ? ?
? ?
?
? ? ?
?
 
 
46. (1) 
 
2
3
8 64
7 343
?
?
  
 
2
3
7 49
6 216
?
?
  
 Similarly, 
2
3
6 36
8 512
?
?
  
 
47. (1) 
 Logic unfolding 
 
48. (3) 
 Logical 
 
49. (4) 
 Logical Venn Diagram 
Page 5


     
  
 
  
 
 
NATIONAL TALENT SEARCH EXAMINATION, 2017-18 
 
MENTAL ABILITY ANSWER KEY 
 
QUE. 1 2 3 4 5 6 7 8 9 10 
ANS.  1 4 1 4 2 4 3 1 4 1 
  
          
QUE. 11 12 13 14 15 16 17 18 19 20 
ANS.  2 2 1 3 2 2 4 3 4 3 
  
          
QUE. 21 22 23 24 25 26 27 28 29 30 
ANS.  3 1 3 2  2  3 1 3 2 4 
  
          
QUE. 31 32 33 34 35 36 37 38 39 40 
ANS.  3 1 3 2 3 4 2 3 1 1 
  
          
QUE. 41 42 43 44 45 46 47 48 49 50 
ANS.  2 1 4 2,4 2 1 1 3 4 3 
 
MENTAL ABILITY SOLUTIONS 
 
1. (1) FN 
Logic B J D L H P P   X F   N 
 2 10 4 12 8 16 16 24 32 40 
 32 = 26 + 6 = F 
 40 = 26 + 14 = N 
 
2. (4) 
+4 +4 +4 +4 
AYCD EUGH IQKL MZBC 
 MZBC 
 (3
rd 
placed – 1) will give 2
nd
 place and opposite like B – 1 = A opposite Z. 
 
3. (1) 
 Only 141 is not a prime no. 
 
4. (4) 
 Sum of all number 
 6 + 1 + 3 + 1 = 11 
 2 + 1 + 9 + 1 ? 13 
 3 + 3 + 1 + 2 ? 9 
 3 + 1 + 6 + 4 ? 14 (14 is even) 
 
5. (2)  
4 8 12 16 
D H L P 
6 14 21 28 
F N U B 
11 22 33 44 
K V G R 
    
  
 
  
 G 33 ? 26 + 7 
 R 26 + 18 ? R 
 
6. (4) 
  
 
 
 
 
 
 
 
7. (3) 
 155 by BODMAS 
 
200
25 20 5 10
5
? ? ? ?  
 
8. (1) 
 4 side divided into 4 
 10 side divided into 10 
 
9. (4) 
 Mirror image + Centre rotating 
 
10. (1) 
  
 
 
 
 
11. (2) 
 
1 6 5
1 3 1
2 3 4
? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ?
 difference 
 Similarly 
5 3 3
2 6 2
7 9 1
  
 
12. (2) 
 Logical 
 
13. (1) 
 
B E A T
28
2 5 1 20 2 5 1 20 7
4
? ? ? ? ? ?  
 Logic ? Sum of all place then divide by 4. 
 
14. (3) 
 Logic Pattern N K M L J O Q P K 
 
15. (2) 
 Logical 
 
16. (2) 
 
S O L V E
0 1 2 3 4 logic
S P N Y I
? ? ? ? ?  
 
17. (4) 
 
L A R G E
1 1 1 1 1
K Z Q F D
? ? ? ? ?  
 
18. (3) 
 Logical 
 
M T K A S N 
3 4 1  ,  5 7 2  ,  7 8 1  ,  9 9 0 
+2 +2 +2 
3 + 1 = 4 
5 + 2 = 7 
7 + 1 = 8 
9 + 0 = 9 
    
  
 
  
19. (4) 
 Logical 
 
20. (3) 
 8 
 
21. (3) 
 
9 10 34 35
57 58 66 67
61 44 48 63
  
 
22. (1) 
 See the logic of the numbers from pattern. 
 
23. (3) 
 27 ? 2 ? 5 + 2 ? 2 ? 3 + 1 ? 5 
 
24. (2) 
 13 
 
25. (2) 
   
26. (3) 
 N
2
 – 8 
 
27. (1) 
 Logic pattern 
 
28. (3) 
 2 ? 2 + 2 ? 6 
 6 ? 3 + 3 ? 21 
 21 ? 4 + 4 ? 88 
 88 ? 5 + 5 ? 445 
 
29. (2) 
 2
2
 + 2 ? 6 
 3
3
 + 3 ? 30 
 4
2
 + 2 ? 18 
 5
3
 + 3 ? 128 
 6
2
 + 2 ? 38 
 
30. (4) 
 02, 13, 34, 56 
 Check row and column. 
 
31. (3) 
 11, 13, 67, 69 
 Check row and column. 
 
32. (1) 
 1 October was Monday So, 4 November will be Sunday 
 
33. (3) 
 All boxes shifting one down the column. 
 
34. (2) 
 Logical 
 
35. (3) 
 
A M K
18 , 3 , 1
S P J
?
?
? ? ?
?
?
?
  
 Similarly, 
K N M
18 , 3 , 1
C Q L
?
?
? ? ?
?
?
?
 
 
36. (4) 
    
  
 
  
 
N 9 M
2 , 2 , 4
P 11 Q
?
?
? ? ?
?
?
?
  
 Similarly, 
K N M
2 , 12 , 4
C Q L
?
?
? ?
?
?
?
 
 
37. (2) 
 6 km (Direction sense test question) 
 
38. (3) 
Logic 0001 0011 0111 1111 
 
39. (1) 
PLAYERS Foot Ball Base Ball Cricket Volley Ball Hockey 
Hemant ? ? ? ? ? 
Madhav ? ? ? ? ? 
Govind ? ? ? ? ? 
Ramesh ? ? ? ? ? 
Anant ? ? ? ? ? 
 
40. (1)  
PLAYERS Foot Ball Base Ball Cricket Volley Ball Hockey 
Hemant ? ? ? ? ? 
Madhav ? ? ? ? ? 
Govind ? ? ? ? ? 
Ramesh ? ? ? ? ? 
Anant ? ? ? ? ? 
 
41. (2) 
 Logical 
 
42. (1) 
 Logical 
 
43. (4) 
 Folding logic 
 
44. (2) & (4) both option are correct 
 
45. (2) 
 
13 1 3 4
So, 10 4 6
19 1 9 10
? ? ? ?
? ?
?
? ? ?
?
  
 Similarly, 
31 3 1 4
So, 10 4 6
37 3 7 10
? ? ? ?
? ?
?
? ? ?
?
 
 
46. (1) 
 
2
3
8 64
7 343
?
?
  
 
2
3
7 49
6 216
?
?
  
 Similarly, 
2
3
6 36
8 512
?
?
  
 
47. (1) 
 Logic unfolding 
 
48. (3) 
 Logical 
 
49. (4) 
 Logical Venn Diagram 
    
  
 
  
 
50. (3) 
 Logical Venn Diagram 
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