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Page 1
NTSE STAGE II
CODE: 13 – 15
MAT
HINTS & SOLUTIONS
1. 3
2. 3
Sol. 0.8 ? (0.8)
3
= 0.512
0.04 ? (0.04)
3
= 0.000064
3. 2
Sol.
D
C
B
E
A
G
F
H
F is sitting third to the left of G.
4. 3
Sol.
D
C
B
E
A
G
F
H
H and F are sitting next to each other.
5. 2
Sol.
D
C
B
E
A
G
F
H
ECHFBDG are sitting to the right of A in the same order.
Sol.
3Y 104
D
G J M P 9 U 91 27 Q 78 8I M 65 243 I 52
+3 +3 +3 +3
– 13 – 13 – 13 – 13
– 4 – 4 – 4 – 4
Page 2
NTSE STAGE II
CODE: 13 – 15
MAT
HINTS & SOLUTIONS
1. 3
2. 3
Sol. 0.8 ? (0.8)
3
= 0.512
0.04 ? (0.04)
3
= 0.000064
3. 2
Sol.
D
C
B
E
A
G
F
H
F is sitting third to the left of G.
4. 3
Sol.
D
C
B
E
A
G
F
H
H and F are sitting next to each other.
5. 2
Sol.
D
C
B
E
A
G
F
H
ECHFBDG are sitting to the right of A in the same order.
Sol.
3Y 104
D
G J M P 9 U 91 27 Q 78 8I M 65 243 I 52
+3 +3 +3 +3
– 13 – 13 – 13 – 13
– 4 – 4 – 4 – 4
6. 1
Sol.
5
A B C
3
3
5
Clearly, B, C are to the east of A.
7. 4
Sol.
P
T
M
D
P
T
M
D
(or)
P – Professors
T – Teachers
M – Male
D – Designers
Here, from conclusions we can verify that either I or II and III are the possible conclusions,
which is nothing but either I and III follows, or II and III follows.
8. 3
Sol. By observation.
9. 2
Sol. From options we can verify that I represents male trainers who play cricket.
10. 1
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
C teachers Hindi in 2
nd
period.
11. 2
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
Sanskrit – 4 – E is the correct sequence.
12. 4
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
Page 3
NTSE STAGE II
CODE: 13 – 15
MAT
HINTS & SOLUTIONS
1. 3
2. 3
Sol. 0.8 ? (0.8)
3
= 0.512
0.04 ? (0.04)
3
= 0.000064
3. 2
Sol.
D
C
B
E
A
G
F
H
F is sitting third to the left of G.
4. 3
Sol.
D
C
B
E
A
G
F
H
H and F are sitting next to each other.
5. 2
Sol.
D
C
B
E
A
G
F
H
ECHFBDG are sitting to the right of A in the same order.
Sol.
3Y 104
D
G J M P 9 U 91 27 Q 78 8I M 65 243 I 52
+3 +3 +3 +3
– 13 – 13 – 13 – 13
– 4 – 4 – 4 – 4
6. 1
Sol.
5
A B C
3
3
5
Clearly, B, C are to the east of A.
7. 4
Sol.
P
T
M
D
P
T
M
D
(or)
P – Professors
T – Teachers
M – Male
D – Designers
Here, from conclusions we can verify that either I or II and III are the possible conclusions,
which is nothing but either I and III follows, or II and III follows.
8. 3
Sol. By observation.
9. 2
Sol. From options we can verify that I represents male trainers who play cricket.
10. 1
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
C teachers Hindi in 2
nd
period.
11. 2
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
Sanskrit – 4 – E is the correct sequence.
12. 4
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
Mathematics, Science, Hindi, English, Sanskrit is the correct order.
13. 3
Sol. By observation.
14. 3
Sol. After interchanging symbols the expression will be:
– 33 + 11 – 9 + 28 ? 4 x 5 = 4
15. 1
Sol. R E A S O N
-2 +2 -2 +2 -2 +2
P G Y U M P
Similarly, DIRECT is coded as BKPGAV.
16. 2
Sol. Given, Age of C = 12
So, age of Husband = 65
Hence, Age of Ram = 50
17. 3
Sol. Anu Joy Pritam Zeba
Mon (1) Tues (1) Wed (1) Thurs (1)
Fri (1) Mon (2) Tues (2) Wed (2)
Thurs(2) Fri (2) Mon (3) Tues(3)
Wed (3) Thurs(3) Fri(3)
Least number of days = Zeba, 3 days.
18. 1
Sol. Anu Joy Pritam Zeba
Mon (1) Tues (1) Wed (1) Thurs (1)
Fri (1) Mon (2) Tues (2) Wed (2)
Thurs(2) Fri (2) Mon (3) Tues(3)
Wed (3) Thurs(3) Fri(3)
Pritam, Zeba and Anu is the required order.
19. 4
Sol. Required price = (0.6) (0.4) (1000) = Rs 240.
20. 2
Sol. ? ? ? ? 4 5 2 5 13 ? ? ? ?
? ? ? ? 6 4 7 2 15 ? ? ? ?
Similarly, ? ? ? ? 8 3 4 6 14 ? ? ? ?
21. 2
Sol.
Men
Teachers
Teachers
Father
22. 4
Page 4
NTSE STAGE II
CODE: 13 – 15
MAT
HINTS & SOLUTIONS
1. 3
2. 3
Sol. 0.8 ? (0.8)
3
= 0.512
0.04 ? (0.04)
3
= 0.000064
3. 2
Sol.
D
C
B
E
A
G
F
H
F is sitting third to the left of G.
4. 3
Sol.
D
C
B
E
A
G
F
H
H and F are sitting next to each other.
5. 2
Sol.
D
C
B
E
A
G
F
H
ECHFBDG are sitting to the right of A in the same order.
Sol.
3Y 104
D
G J M P 9 U 91 27 Q 78 8I M 65 243 I 52
+3 +3 +3 +3
– 13 – 13 – 13 – 13
– 4 – 4 – 4 – 4
6. 1
Sol.
5
A B C
3
3
5
Clearly, B, C are to the east of A.
7. 4
Sol.
P
T
M
D
P
T
M
D
(or)
P – Professors
T – Teachers
M – Male
D – Designers
Here, from conclusions we can verify that either I or II and III are the possible conclusions,
which is nothing but either I and III follows, or II and III follows.
8. 3
Sol. By observation.
9. 2
Sol. From options we can verify that I represents male trainers who play cricket.
10. 1
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
C teachers Hindi in 2
nd
period.
11. 2
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
Sanskrit – 4 – E is the correct sequence.
12. 4
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
Mathematics, Science, Hindi, English, Sanskrit is the correct order.
13. 3
Sol. By observation.
14. 3
Sol. After interchanging symbols the expression will be:
– 33 + 11 – 9 + 28 ? 4 x 5 = 4
15. 1
Sol. R E A S O N
-2 +2 -2 +2 -2 +2
P G Y U M P
Similarly, DIRECT is coded as BKPGAV.
16. 2
Sol. Given, Age of C = 12
So, age of Husband = 65
Hence, Age of Ram = 50
17. 3
Sol. Anu Joy Pritam Zeba
Mon (1) Tues (1) Wed (1) Thurs (1)
Fri (1) Mon (2) Tues (2) Wed (2)
Thurs(2) Fri (2) Mon (3) Tues(3)
Wed (3) Thurs(3) Fri(3)
Least number of days = Zeba, 3 days.
18. 1
Sol. Anu Joy Pritam Zeba
Mon (1) Tues (1) Wed (1) Thurs (1)
Fri (1) Mon (2) Tues (2) Wed (2)
Thurs(2) Fri (2) Mon (3) Tues(3)
Wed (3) Thurs(3) Fri(3)
Pritam, Zeba and Anu is the required order.
19. 4
Sol. Required price = (0.6) (0.4) (1000) = Rs 240.
20. 2
Sol. ? ? ? ? 4 5 2 5 13 ? ? ? ?
? ? ? ? 6 4 7 2 15 ? ? ? ?
Similarly, ? ? ? ? 8 3 4 6 14 ? ? ? ?
21. 2
Sol.
Men
Teachers
Teachers
Father
22. 4
Sol. From Guitar comes music as knowledge comes from book.
23. 2
Sol. Given, Reena = (2 + Rita) = (5 + Zoha)
Reena + Zoha = 3 (Rita – 5)
After solving we get ? Rita = 14.
24. 3
Sol. Butter scotch + Vanila = 8 cubes
Chocolate + Butter scotch = 4 cubes
Hence, total 12 cubes are there.
25. 2
Sol. 8 cubes are there with only butter scotch on them.
26. 3
Sol. Cube with chocolate coating = 8
Required, answer = 24 – 8 = 16
27. 1
Sol. From the question, it was clear that Monica’s shadow was to the right of Tanya. Hence,
Tanya was facing south. So Monica was facing north.
28. 3
Sol. By using 2 given statements we get the sequence as:
B/D, A/C, E, A/C, B/D
So, E is sitting between A and C.
29. 2
Sol. From each race, we are selecting 2 ? eliminating 2.
We need to eliminate 14. Hence, 7 races are required.
30. 2
Sol. b c e g k m q s
2 3 5 7 11 13 17 19
31. None
Sol.. Required answer must be
Hence, none of the options is correct.
32. 4
Sol. From the given dices we can observe that:
3 is opposite to 4.
2 is opposite to 6.
5 is opposite to 1
Hence, option 4.
33. 2
Sol. 2 10 30 68 130 222
? ? ? ? ? ?
Page 5
NTSE STAGE II
CODE: 13 – 15
MAT
HINTS & SOLUTIONS
1. 3
2. 3
Sol. 0.8 ? (0.8)
3
= 0.512
0.04 ? (0.04)
3
= 0.000064
3. 2
Sol.
D
C
B
E
A
G
F
H
F is sitting third to the left of G.
4. 3
Sol.
D
C
B
E
A
G
F
H
H and F are sitting next to each other.
5. 2
Sol.
D
C
B
E
A
G
F
H
ECHFBDG are sitting to the right of A in the same order.
Sol.
3Y 104
D
G J M P 9 U 91 27 Q 78 8I M 65 243 I 52
+3 +3 +3 +3
– 13 – 13 – 13 – 13
– 4 – 4 – 4 – 4
6. 1
Sol.
5
A B C
3
3
5
Clearly, B, C are to the east of A.
7. 4
Sol.
P
T
M
D
P
T
M
D
(or)
P – Professors
T – Teachers
M – Male
D – Designers
Here, from conclusions we can verify that either I or II and III are the possible conclusions,
which is nothing but either I and III follows, or II and III follows.
8. 3
Sol. By observation.
9. 2
Sol. From options we can verify that I represents male trainers who play cricket.
10. 1
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
C teachers Hindi in 2
nd
period.
11. 2
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
Sanskrit – 4 – E is the correct sequence.
12. 4
Sol. Hindi – C – 2
English – D – 5
Science – B – 1
Maths – A – 3
Sanskrit – E – 4
Mathematics, Science, Hindi, English, Sanskrit is the correct order.
13. 3
Sol. By observation.
14. 3
Sol. After interchanging symbols the expression will be:
– 33 + 11 – 9 + 28 ? 4 x 5 = 4
15. 1
Sol. R E A S O N
-2 +2 -2 +2 -2 +2
P G Y U M P
Similarly, DIRECT is coded as BKPGAV.
16. 2
Sol. Given, Age of C = 12
So, age of Husband = 65
Hence, Age of Ram = 50
17. 3
Sol. Anu Joy Pritam Zeba
Mon (1) Tues (1) Wed (1) Thurs (1)
Fri (1) Mon (2) Tues (2) Wed (2)
Thurs(2) Fri (2) Mon (3) Tues(3)
Wed (3) Thurs(3) Fri(3)
Least number of days = Zeba, 3 days.
18. 1
Sol. Anu Joy Pritam Zeba
Mon (1) Tues (1) Wed (1) Thurs (1)
Fri (1) Mon (2) Tues (2) Wed (2)
Thurs(2) Fri (2) Mon (3) Tues(3)
Wed (3) Thurs(3) Fri(3)
Pritam, Zeba and Anu is the required order.
19. 4
Sol. Required price = (0.6) (0.4) (1000) = Rs 240.
20. 2
Sol. ? ? ? ? 4 5 2 5 13 ? ? ? ?
? ? ? ? 6 4 7 2 15 ? ? ? ?
Similarly, ? ? ? ? 8 3 4 6 14 ? ? ? ?
21. 2
Sol.
Men
Teachers
Teachers
Father
22. 4
Sol. From Guitar comes music as knowledge comes from book.
23. 2
Sol. Given, Reena = (2 + Rita) = (5 + Zoha)
Reena + Zoha = 3 (Rita – 5)
After solving we get ? Rita = 14.
24. 3
Sol. Butter scotch + Vanila = 8 cubes
Chocolate + Butter scotch = 4 cubes
Hence, total 12 cubes are there.
25. 2
Sol. 8 cubes are there with only butter scotch on them.
26. 3
Sol. Cube with chocolate coating = 8
Required, answer = 24 – 8 = 16
27. 1
Sol. From the question, it was clear that Monica’s shadow was to the right of Tanya. Hence,
Tanya was facing south. So Monica was facing north.
28. 3
Sol. By using 2 given statements we get the sequence as:
B/D, A/C, E, A/C, B/D
So, E is sitting between A and C.
29. 2
Sol. From each race, we are selecting 2 ? eliminating 2.
We need to eliminate 14. Hence, 7 races are required.
30. 2
Sol. b c e g k m q s
2 3 5 7 11 13 17 19
31. None
Sol.. Required answer must be
Hence, none of the options is correct.
32. 4
Sol. From the given dices we can observe that:
3 is opposite to 4.
2 is opposite to 6.
5 is opposite to 1
Hence, option 4.
33. 2
Sol. 2 10 30 68 130 222
? ? ? ? ? ?
1
3
+1 2
3
+2 3
3
+3 4
3
+4 5
3
+5 6
3
+6
34. 3
Sol. We have,
T is the wife of S
S is the son of B
B is the wife of M
Hence, option ‘3’ is the answer.
35. 1
Sol.
(oo)
S – Snakes
F – Frogs
B – Birds
A – Apples
S
F
B
A
S
F
B
A
So, either I or II follows and III follows.
36. None
Sol. 9
+14
, 23
+28
, 51
+56
, 107
+112
, 219
+224
, 443
106
Here, 107 has to be there in the place of 106.
Note: In the question it was given 643 but it must be 443.
37. 4
Sol. By observation
38. 4
Sol. Shree, Amilia > Parul > Ronald > Veena
Hence, Option 4.
39. 3
Sol.
222
1 5 7 75 ? ? ?
222
9 7 8 194 ? ? ?
Similarly,
2 2 2
8 3 4 89 ? ? ?
40. 1
Sol. By observation.
41. 2
Sol. Let ‘x’ seconds be the gap between two consecutive chimes.
So, 7x = 8
? x = 8/7 seconds.
Required answer, 10x = 80/7 = 11.43 seconds
42. 3
Sol. ABCD, ABDF, ABDH, ABDE
AFED, FAGD, FACD, AHDG
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