Rajasthan: State Level Solutions (SAT) - 2016-17

 Page 1


 
  
 
 
 
NTSE-2017 (Stage-I) 
SOLUTIONS 
 
SAT 
 
1. (2) 
  a  = –8 m/s
2
 
  v = u + at 
  o = u – 8 × 3 
  u = 24 m/sec 
  s = 
2
1
ut at
2
? 
  s = 
1
24 3 – 8 9
2
? ? ? 
  s = 72 – 36 
  s = 36 m  
 
2. (1) 
  Pi = Pt 
  
10
100 10
1000
?? = 
10
1V
1000
??
?
??
??
 
  t = (1.01) V 
  v ~  1 m/sec. 
   
 
3. (3) 
 Density of liquid  
 
4. (1) 
  1 unit = 1 kwh = 3.6 × 10
6
 J 
  200 unit = 200 × 3.6 × 10
6
 J 
   = 72 × 10
7
 J 
   = 7.2 × 10
8
 J 
 
5. (1) 
 Speed of sound will be maximum in solids. So speed is maximum in glass. 
 
6. (1) 
  w = 
wg
6
 
   = 
9.8
15
6
? 
  w = 24.5 N   
 
Page 2


 
  
 
 
 
NTSE-2017 (Stage-I) 
SOLUTIONS 
 
SAT 
 
1. (2) 
  a  = –8 m/s
2
 
  v = u + at 
  o = u – 8 × 3 
  u = 24 m/sec 
  s = 
2
1
ut at
2
? 
  s = 
1
24 3 – 8 9
2
? ? ? 
  s = 72 – 36 
  s = 36 m  
 
2. (1) 
  Pi = Pt 
  
10
100 10
1000
?? = 
10
1V
1000
??
?
??
??
 
  t = (1.01) V 
  v ~  1 m/sec. 
   
 
3. (3) 
 Density of liquid  
 
4. (1) 
  1 unit = 1 kwh = 3.6 × 10
6
 J 
  200 unit = 200 × 3.6 × 10
6
 J 
   = 72 × 10
7
 J 
   = 7.2 × 10
8
 J 
 
5. (1) 
 Speed of sound will be maximum in solids. So speed is maximum in glass. 
 
6. (1) 
  w = 
wg
6
 
   = 
9.8
15
6
? 
  w = 24.5 N   
 
 
  
7. (4) 
  w = 
22
11
mv – mu
22
 
  u = 
5
18 5m/ s
18
?? 
  v = 
5
72 20m/ s
18
?? 
  w = 
1
2(400 – 25) 375J
2
?? 
 
8. (2) 
 Between the principle focus & centre of curvature.  
 
9. (3) 
 For maximum angle of Refraction, speed is maximum. 
 
10. (3) 
 Tyndall effect.  
 
11. (3) 
 By fleming's left hand Rule.  
 
12.   (3) 
  Req = 
6
2
3
?? 
  i = 
15
7.5A
2
? 
  i = 
i 7.5
2.5A
33
?? 
6
6
6
15 V
 
 
13. (2) 
 10
6
 K 
 
14. (3) 
  
B
B
AW
W
100
W
?
? = 
30
100 12%
250
?? 
 
15. (1) 
 Cheese is an example of Gel. 
 
16. (2) 
 Fractional Distillation. 
 
17. (4) 
 Mg12  2, 8, 2 
 
18. (3) 
  
23
4
6.02 10
16
?? = 
23
1.505 10 ?  
 
19. (4) 
 No of e
–
 in Al
3+
 and F
–
 is same  
 Al
3+
 ? 13 – 3 = 10 
 F
–
 ? 9 + 1 = 10 
 
20. (4) 
 10.2 pH > 7 for basic solution  
 
Page 3


 
  
 
 
 
NTSE-2017 (Stage-I) 
SOLUTIONS 
 
SAT 
 
1. (2) 
  a  = –8 m/s
2
 
  v = u + at 
  o = u – 8 × 3 
  u = 24 m/sec 
  s = 
2
1
ut at
2
? 
  s = 
1
24 3 – 8 9
2
? ? ? 
  s = 72 – 36 
  s = 36 m  
 
2. (1) 
  Pi = Pt 
  
10
100 10
1000
?? = 
10
1V
1000
??
?
??
??
 
  t = (1.01) V 
  v ~  1 m/sec. 
   
 
3. (3) 
 Density of liquid  
 
4. (1) 
  1 unit = 1 kwh = 3.6 × 10
6
 J 
  200 unit = 200 × 3.6 × 10
6
 J 
   = 72 × 10
7
 J 
   = 7.2 × 10
8
 J 
 
5. (1) 
 Speed of sound will be maximum in solids. So speed is maximum in glass. 
 
6. (1) 
  w = 
wg
6
 
   = 
9.8
15
6
? 
  w = 24.5 N   
 
 
  
7. (4) 
  w = 
22
11
mv – mu
22
 
  u = 
5
18 5m/ s
18
?? 
  v = 
5
72 20m/ s
18
?? 
  w = 
1
2(400 – 25) 375J
2
?? 
 
8. (2) 
 Between the principle focus & centre of curvature.  
 
9. (3) 
 For maximum angle of Refraction, speed is maximum. 
 
10. (3) 
 Tyndall effect.  
 
11. (3) 
 By fleming's left hand Rule.  
 
12.   (3) 
  Req = 
6
2
3
?? 
  i = 
15
7.5A
2
? 
  i = 
i 7.5
2.5A
33
?? 
6
6
6
15 V
 
 
13. (2) 
 10
6
 K 
 
14. (3) 
  
B
B
AW
W
100
W
?
? = 
30
100 12%
250
?? 
 
15. (1) 
 Cheese is an example of Gel. 
 
16. (2) 
 Fractional Distillation. 
 
17. (4) 
 Mg12  2, 8, 2 
 
18. (3) 
  
23
4
6.02 10
16
?? = 
23
1.505 10 ?  
 
19. (4) 
 No of e
–
 in Al
3+
 and F
–
 is same  
 Al
3+
 ? 13 – 3 = 10 
 F
–
 ? 9 + 1 = 10 
 
20. (4) 
 10.2 pH > 7 for basic solution  
 
 
  
21. (3) 
 Ay does not react with O2 at high temperature. 
 
22. (2) 
 Aqua – Regia 
 2Au + 3HNO3 + 11HCl ?? 2HAucl4 + 3NOCl + 6H2O 
 
23. (3) 
 Potassium. 
 
24. (3) 
 
24
Hot,Conc.
3 2 2 2 2
H SO
CH – CH – OH CH CH H O ? ? ? ? ? ? ? ? 
 
25. (1) 
 Both Na and K have same electronic configuration of valance shell.  
 
26. (3) 
 Methanol is added to ethanol to make it unfit for drinking.  
 
27. (4) 
 Besides nucleus, mitochordria and chloroplast have DNA. 
 
28. (3) 
 Bryophytes are considered as Amphibians of plant kingdom. 
 
29. (4) 
 Sclerenchyma tissue provide mechanical support to plant. 
 
30. (4) 
 Cytokinin induces cell division. 
 
31. (3) 
 In PTC undifferentiated mass of cell are called callus. 
 
32. (1) 
 Amrita devi Vishnoi was involved in chipko movement in Khejarli in Marwar, Rajasthan in 1730 it was 
related to plant conservation movement. 
 
33. (1) 
 Ultraviolet radiations causes more harm to ozone layer. 
 
34. (3) 
 Lysosomes are called suicidal bags. 
 
35. (4) 
 Stratified squamous epithelium present on lining of oesophagus. 
 
36. (3) 
 Only Ascaris belong to Aschelminthes with triploblastic and pseudocoelomate, while others are 
platyhelminthes with triploblastic and acoelomates.  
 
37. (4) 
 Echidna platypus is only oviparous mammal. 
 
38. (2) 
 Normal blood pressure in Human is 120/80 mm of Hg. 
 
39. (1) 
 Brain and spinal form central Nervous system. 
 
40. (4) 
 Raja Saurus is an example of dinosaur genus of carnivorous Abelisaurian theropod with an unusual head 
crest.  
Page 4


 
  
 
 
 
NTSE-2017 (Stage-I) 
SOLUTIONS 
 
SAT 
 
1. (2) 
  a  = –8 m/s
2
 
  v = u + at 
  o = u – 8 × 3 
  u = 24 m/sec 
  s = 
2
1
ut at
2
? 
  s = 
1
24 3 – 8 9
2
? ? ? 
  s = 72 – 36 
  s = 36 m  
 
2. (1) 
  Pi = Pt 
  
10
100 10
1000
?? = 
10
1V
1000
??
?
??
??
 
  t = (1.01) V 
  v ~  1 m/sec. 
   
 
3. (3) 
 Density of liquid  
 
4. (1) 
  1 unit = 1 kwh = 3.6 × 10
6
 J 
  200 unit = 200 × 3.6 × 10
6
 J 
   = 72 × 10
7
 J 
   = 7.2 × 10
8
 J 
 
5. (1) 
 Speed of sound will be maximum in solids. So speed is maximum in glass. 
 
6. (1) 
  w = 
wg
6
 
   = 
9.8
15
6
? 
  w = 24.5 N   
 
 
  
7. (4) 
  w = 
22
11
mv – mu
22
 
  u = 
5
18 5m/ s
18
?? 
  v = 
5
72 20m/ s
18
?? 
  w = 
1
2(400 – 25) 375J
2
?? 
 
8. (2) 
 Between the principle focus & centre of curvature.  
 
9. (3) 
 For maximum angle of Refraction, speed is maximum. 
 
10. (3) 
 Tyndall effect.  
 
11. (3) 
 By fleming's left hand Rule.  
 
12.   (3) 
  Req = 
6
2
3
?? 
  i = 
15
7.5A
2
? 
  i = 
i 7.5
2.5A
33
?? 
6
6
6
15 V
 
 
13. (2) 
 10
6
 K 
 
14. (3) 
  
B
B
AW
W
100
W
?
? = 
30
100 12%
250
?? 
 
15. (1) 
 Cheese is an example of Gel. 
 
16. (2) 
 Fractional Distillation. 
 
17. (4) 
 Mg12  2, 8, 2 
 
18. (3) 
  
23
4
6.02 10
16
?? = 
23
1.505 10 ?  
 
19. (4) 
 No of e
–
 in Al
3+
 and F
–
 is same  
 Al
3+
 ? 13 – 3 = 10 
 F
–
 ? 9 + 1 = 10 
 
20. (4) 
 10.2 pH > 7 for basic solution  
 
 
  
21. (3) 
 Ay does not react with O2 at high temperature. 
 
22. (2) 
 Aqua – Regia 
 2Au + 3HNO3 + 11HCl ?? 2HAucl4 + 3NOCl + 6H2O 
 
23. (3) 
 Potassium. 
 
24. (3) 
 
24
Hot,Conc.
3 2 2 2 2
H SO
CH – CH – OH CH CH H O ? ? ? ? ? ? ? ? 
 
25. (1) 
 Both Na and K have same electronic configuration of valance shell.  
 
26. (3) 
 Methanol is added to ethanol to make it unfit for drinking.  
 
27. (4) 
 Besides nucleus, mitochordria and chloroplast have DNA. 
 
28. (3) 
 Bryophytes are considered as Amphibians of plant kingdom. 
 
29. (4) 
 Sclerenchyma tissue provide mechanical support to plant. 
 
30. (4) 
 Cytokinin induces cell division. 
 
31. (3) 
 In PTC undifferentiated mass of cell are called callus. 
 
32. (1) 
 Amrita devi Vishnoi was involved in chipko movement in Khejarli in Marwar, Rajasthan in 1730 it was 
related to plant conservation movement. 
 
33. (1) 
 Ultraviolet radiations causes more harm to ozone layer. 
 
34. (3) 
 Lysosomes are called suicidal bags. 
 
35. (4) 
 Stratified squamous epithelium present on lining of oesophagus. 
 
36. (3) 
 Only Ascaris belong to Aschelminthes with triploblastic and pseudocoelomate, while others are 
platyhelminthes with triploblastic and acoelomates.  
 
37. (4) 
 Echidna platypus is only oviparous mammal. 
 
38. (2) 
 Normal blood pressure in Human is 120/80 mm of Hg. 
 
39. (1) 
 Brain and spinal form central Nervous system. 
 
40. (4) 
 Raja Saurus is an example of dinosaur genus of carnivorous Abelisaurian theropod with an unusual head 
crest.  
 
  
41. (2) 
 x + y + 3x
1/3
y
1/3
 (x
1/3
 + y
1/3
) 
 ? (x
1/3
 + y
1/3
)
3
    
 So, cube root is (x
1/3
 + y
1/3
) 
 
42. (2) 
 0.23 0.23 ? 
 ? 0.23232323 ………….. + 0.2333333 
 ? 0.465656565 ………  
 ? 0.465  
 
43. (1) 
  x = –2 
 so
2
K(– 2) – ( 2)(– 2) 1 ? = 0 
  2K + 2 + 1  = 0 
  2K + 3 = 0 
  K = –3/2  
 
44. (3) 
  3x + 2y = 13 xy 
  4x – 5y = 2 xy 
   
  12x + 8y = 52xy 
  12x 15y ? = –6xy 
 
  23 y = 46 xy   ? y = 0 or x = 
1
2
 
 for y = 0  ?  x = 0 
 for x = 
1
2
 ? y = 
1
3
 point are (0, 0) and 
11
,
23
??
??
??
   
  
45.   (1) 
  tan ? = 
h
9
 
h
tan(90 – )
16
? ? ? 
  tan ? = 
h
– (1)
9
 
h
cot – (11)
16
?? 
 (1) × (11) 
? 
2
h
1
16 9
?
?
 
 h
2
 = 16 × 9 
 h = 4 × 3 = 12  
7 m 9 m
h
 
 
46. (4) 
  sin ? = p  
  cos ? = q ? 
3
3
p – 2p
2q – q
 
 ? 
2
2
p(1– 2p )
q(2q – 1)
 = 
2
2
sin (1– 2sin )
cos (2cos –1 )
??
??
 
   = tan ? 
 
47.  (4)  
  2Q + 2 ? = 180°  
  Q + ? = 90° 
So,  ?APB = 90°  
D
A B
C
P
Q
Q
?
?
 
Page 5


 
  
 
 
 
NTSE-2017 (Stage-I) 
SOLUTIONS 
 
SAT 
 
1. (2) 
  a  = –8 m/s
2
 
  v = u + at 
  o = u – 8 × 3 
  u = 24 m/sec 
  s = 
2
1
ut at
2
? 
  s = 
1
24 3 – 8 9
2
? ? ? 
  s = 72 – 36 
  s = 36 m  
 
2. (1) 
  Pi = Pt 
  
10
100 10
1000
?? = 
10
1V
1000
??
?
??
??
 
  t = (1.01) V 
  v ~  1 m/sec. 
   
 
3. (3) 
 Density of liquid  
 
4. (1) 
  1 unit = 1 kwh = 3.6 × 10
6
 J 
  200 unit = 200 × 3.6 × 10
6
 J 
   = 72 × 10
7
 J 
   = 7.2 × 10
8
 J 
 
5. (1) 
 Speed of sound will be maximum in solids. So speed is maximum in glass. 
 
6. (1) 
  w = 
wg
6
 
   = 
9.8
15
6
? 
  w = 24.5 N   
 
 
  
7. (4) 
  w = 
22
11
mv – mu
22
 
  u = 
5
18 5m/ s
18
?? 
  v = 
5
72 20m/ s
18
?? 
  w = 
1
2(400 – 25) 375J
2
?? 
 
8. (2) 
 Between the principle focus & centre of curvature.  
 
9. (3) 
 For maximum angle of Refraction, speed is maximum. 
 
10. (3) 
 Tyndall effect.  
 
11. (3) 
 By fleming's left hand Rule.  
 
12.   (3) 
  Req = 
6
2
3
?? 
  i = 
15
7.5A
2
? 
  i = 
i 7.5
2.5A
33
?? 
6
6
6
15 V
 
 
13. (2) 
 10
6
 K 
 
14. (3) 
  
B
B
AW
W
100
W
?
? = 
30
100 12%
250
?? 
 
15. (1) 
 Cheese is an example of Gel. 
 
16. (2) 
 Fractional Distillation. 
 
17. (4) 
 Mg12  2, 8, 2 
 
18. (3) 
  
23
4
6.02 10
16
?? = 
23
1.505 10 ?  
 
19. (4) 
 No of e
–
 in Al
3+
 and F
–
 is same  
 Al
3+
 ? 13 – 3 = 10 
 F
–
 ? 9 + 1 = 10 
 
20. (4) 
 10.2 pH > 7 for basic solution  
 
 
  
21. (3) 
 Ay does not react with O2 at high temperature. 
 
22. (2) 
 Aqua – Regia 
 2Au + 3HNO3 + 11HCl ?? 2HAucl4 + 3NOCl + 6H2O 
 
23. (3) 
 Potassium. 
 
24. (3) 
 
24
Hot,Conc.
3 2 2 2 2
H SO
CH – CH – OH CH CH H O ? ? ? ? ? ? ? ? 
 
25. (1) 
 Both Na and K have same electronic configuration of valance shell.  
 
26. (3) 
 Methanol is added to ethanol to make it unfit for drinking.  
 
27. (4) 
 Besides nucleus, mitochordria and chloroplast have DNA. 
 
28. (3) 
 Bryophytes are considered as Amphibians of plant kingdom. 
 
29. (4) 
 Sclerenchyma tissue provide mechanical support to plant. 
 
30. (4) 
 Cytokinin induces cell division. 
 
31. (3) 
 In PTC undifferentiated mass of cell are called callus. 
 
32. (1) 
 Amrita devi Vishnoi was involved in chipko movement in Khejarli in Marwar, Rajasthan in 1730 it was 
related to plant conservation movement. 
 
33. (1) 
 Ultraviolet radiations causes more harm to ozone layer. 
 
34. (3) 
 Lysosomes are called suicidal bags. 
 
35. (4) 
 Stratified squamous epithelium present on lining of oesophagus. 
 
36. (3) 
 Only Ascaris belong to Aschelminthes with triploblastic and pseudocoelomate, while others are 
platyhelminthes with triploblastic and acoelomates.  
 
37. (4) 
 Echidna platypus is only oviparous mammal. 
 
38. (2) 
 Normal blood pressure in Human is 120/80 mm of Hg. 
 
39. (1) 
 Brain and spinal form central Nervous system. 
 
40. (4) 
 Raja Saurus is an example of dinosaur genus of carnivorous Abelisaurian theropod with an unusual head 
crest.  
 
  
41. (2) 
 x + y + 3x
1/3
y
1/3
 (x
1/3
 + y
1/3
) 
 ? (x
1/3
 + y
1/3
)
3
    
 So, cube root is (x
1/3
 + y
1/3
) 
 
42. (2) 
 0.23 0.23 ? 
 ? 0.23232323 ………….. + 0.2333333 
 ? 0.465656565 ………  
 ? 0.465  
 
43. (1) 
  x = –2 
 so
2
K(– 2) – ( 2)(– 2) 1 ? = 0 
  2K + 2 + 1  = 0 
  2K + 3 = 0 
  K = –3/2  
 
44. (3) 
  3x + 2y = 13 xy 
  4x – 5y = 2 xy 
   
  12x + 8y = 52xy 
  12x 15y ? = –6xy 
 
  23 y = 46 xy   ? y = 0 or x = 
1
2
 
 for y = 0  ?  x = 0 
 for x = 
1
2
 ? y = 
1
3
 point are (0, 0) and 
11
,
23
??
??
??
   
  
45.   (1) 
  tan ? = 
h
9
 
h
tan(90 – )
16
? ? ? 
  tan ? = 
h
– (1)
9
 
h
cot – (11)
16
?? 
 (1) × (11) 
? 
2
h
1
16 9
?
?
 
 h
2
 = 16 × 9 
 h = 4 × 3 = 12  
7 m 9 m
h
 
 
46. (4) 
  sin ? = p  
  cos ? = q ? 
3
3
p – 2p
2q – q
 
 ? 
2
2
p(1– 2p )
q(2q – 1)
 = 
2
2
sin (1– 2sin )
cos (2cos –1 )
??
??
 
   = tan ? 
 
47.  (4)  
  2Q + 2 ? = 180°  
  Q + ? = 90° 
So,  ?APB = 90°  
D
A B
C
P
Q
Q
?
?
 
 
  
 
48.  (1) 
  ?OAB’ = ?OBA = y° 
  ?AOB = 2 ?ACB = 2x° 
  2x + 2y = 180° 
  x + y = 90°  
y° y°
x°
O
 
 
49.  (1)  
  ?C = ?D 
  ?B = ?B 
  ?A = ?BCD 
So  ?CBA ~ DBC 
  
BC AB
BD BC
? = 
AC
DC
 
  
BC
9
 = 
13
BC
 
So  BC
2
 = 13 × 9 
Similarly 
  ?A = ?A  
  ?C = ?D 
  ?B = ?ACD 
  ?ACB ~ ?ADC 
  
AC
AD
 = 
BC AB
DC AC
? 
  
AC
4
 = 
13
AC
 
?  AC
2
 = 13 × 4 
  
2
2
BC
AC
 = 
13 9 3
13 4 2
?
?
?
 
  
BC
AC
 = 
3
2
 
4
A B
C
D
 
 
50.  (3) 
  x
2
 + (x – 1)
2
 = x
2
 + 1 + 2x 
  x
2
 + x
2
 + 1 – 2x = x
2
 + 1 + 2x 
  x
2
 – 4x = 0 
  x = 4cm 
Sides are 4, 5, 3 
So perimeter = 12  
x
x – 1
x + 1
 
 
51. (4) 
  2x
2
 + 3kx + 8 = 0 
 Roots are equal so 
  b
2
 – 4ac = 0 
 ? 9k
2
 – 4(2)(8) = 0 
 ? 9k
2
 = 64 
 ? k
2 
= 
64
9
 
 ? k = ±8/3   
 
52. (1) 
  a + b + c = x – y + y – 2 + z – x = 0 
 so, a
3
 + b
3
 + c
3
 = 3(x – y) (y – z)(z – x)