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Sat Sol: 
 
1. 
19
q 3 x 1.6 x 10 C , V 10V, W ?
?
? ? ? 
 
19
18
W qV
W 3 x 1.6 x 10 x 10
W 4.8 x 10 J
?
?
?
?
?
 
 In moving one Lithium Nucleas, work done is 10 J 
 So in moving 10 nucleus 
 
17
W ' 10W
4.8 x 10 J
?
?
?
 
 
2. Direction of Magnetic field produced near a current carrying wire is given by right hand thumb rule (direction only) 
and was discovered by Hans Oerested. 
 Direction of electric current is generated in a conductor moving in a magnetic field can be find out by using 
Fleming’s Right hand rule and was discovered by Michael Faraday 
 
3. M.R.I is Magnetic Resonance Imaging and is based on the magnetic effect of electric current. 
 
4. As we know 
 
diamod rock salt water air
? ? ? ? ? ? ? 
 So speed of light 
 
diamond rock salt water air
3 1 2
V V V V
V V V V
? ? ?
? ? ?
 
 
5.  
  
 Form figure we can see that deviation in violet is maximum in both cases, as violet remains near the normal in 
both cases. 
 
6. The order of the parts of eyes are cornea, iris, pupil, lens, retina. 
 
7. By analysing the graph 
 For March 
 300 x 3.50 1050 Rs ? 
 For April  
 500 x 4.50 2250Rs ? 
 For May  
 500 x 4.50 2250 Rs ? 
 For June 
 300 x 2.50 750 Rs ? 
 Total = 1050 2250 2250 750 6300Rs ? ? ? ? 
 
8. When object is placed at focus, it gives maximum magnification as the image is formed at infinity. 
 
9. 
12
h 3cm, f 15cm, h 15cm,u ?, v ? ? ? ? ? ? ? ? 
 We know that 
Page 2


Sat Sol: 
 
1. 
19
q 3 x 1.6 x 10 C , V 10V, W ?
?
? ? ? 
 
19
18
W qV
W 3 x 1.6 x 10 x 10
W 4.8 x 10 J
?
?
?
?
?
 
 In moving one Lithium Nucleas, work done is 10 J 
 So in moving 10 nucleus 
 
17
W ' 10W
4.8 x 10 J
?
?
?
 
 
2. Direction of Magnetic field produced near a current carrying wire is given by right hand thumb rule (direction only) 
and was discovered by Hans Oerested. 
 Direction of electric current is generated in a conductor moving in a magnetic field can be find out by using 
Fleming’s Right hand rule and was discovered by Michael Faraday 
 
3. M.R.I is Magnetic Resonance Imaging and is based on the magnetic effect of electric current. 
 
4. As we know 
 
diamod rock salt water air
? ? ? ? ? ? ? 
 So speed of light 
 
diamond rock salt water air
3 1 2
V V V V
V V V V
? ? ?
? ? ?
 
 
5.  
  
 Form figure we can see that deviation in violet is maximum in both cases, as violet remains near the normal in 
both cases. 
 
6. The order of the parts of eyes are cornea, iris, pupil, lens, retina. 
 
7. By analysing the graph 
 For March 
 300 x 3.50 1050 Rs ? 
 For April  
 500 x 4.50 2250Rs ? 
 For May  
 500 x 4.50 2250 Rs ? 
 For June 
 300 x 2.50 750 Rs ? 
 Total = 1050 2250 2250 750 6300Rs ? ? ? ? 
 
8. When object is placed at focus, it gives maximum magnification as the image is formed at infinity. 
 
9. 
12
h 3cm, f 15cm, h 15cm,u ?, v ? ? ? ? ? ? ? ? 
 We know that 
 
2
1
h v
m
hu
15 v
3u
5u v
1 1 1 1 1 1
v u f 5u u 15
1 5 1
u 18cm
5u 15
v 90cm
??
?
?
??
? ? ? ? ? ?
?
??
? ? ? ?
? ? ?
 
 
10. From n to n1 light passes without deviation. So it means  n= n1 and this concave lens behaves as converging lens 
(opposite behaviour) in this case so, 
 
21
n n n ?? 
 
11. 
? ?
th
1
Sn u a 2n 1
2
? ? ? 
 So it depends on initial velocity (Most appropriate answer) 
 
 
12. K.E is maximum at mean position means at A. 
 Acceleration is maximum at extreme position means B and C 
 
13. P = 300 W, time per day = 1.5 hrs. 
 Rupees per unit = 3.50, time in days = 30 days 
 Cost for one day  
 = P x t x Ruppes 
 
0.3 x 1.5 KW / hr x 3.50
4.5 x 3.50 Rs
?
?
 
 Cost for 30 days 
 
0.45 x 3.50x 30
47.25 Rs
?
?
 
  
14. A, C and D are halogens. 
 
15. On moving left to right in periodic table, electro negativity increases. 
 
16. 
2
HS is reducing agent as it is undergoing in oxidation 
2
SO is oxidising agent as it is undergoing in reduction. 
 
17. Fact 
 
18. ? ? ? ?
? ? 2 2 4 4 g
CuCl H SO aq CuSO aq HCl ? ? ? ? 
 
19. (a) tomato juice, pH 3 ? to 4  
 (b) Vinegar pH = 2 to 3 
 (c) Washing soda pH above 7 
 (d) human blood pH > 7 
 
20. According to reactivity series 
 
 
 
 
21.  
  
 
 
 
22. 3, Propanoic Acid 
 
23. 
2 4 2
C H O is ethamoic acid 
 
3 3 3 2 2
effervescence
CH COOH NaHCO CH COONa H O CO ? ? ? ? ? 
Page 3


Sat Sol: 
 
1. 
19
q 3 x 1.6 x 10 C , V 10V, W ?
?
? ? ? 
 
19
18
W qV
W 3 x 1.6 x 10 x 10
W 4.8 x 10 J
?
?
?
?
?
 
 In moving one Lithium Nucleas, work done is 10 J 
 So in moving 10 nucleus 
 
17
W ' 10W
4.8 x 10 J
?
?
?
 
 
2. Direction of Magnetic field produced near a current carrying wire is given by right hand thumb rule (direction only) 
and was discovered by Hans Oerested. 
 Direction of electric current is generated in a conductor moving in a magnetic field can be find out by using 
Fleming’s Right hand rule and was discovered by Michael Faraday 
 
3. M.R.I is Magnetic Resonance Imaging and is based on the magnetic effect of electric current. 
 
4. As we know 
 
diamod rock salt water air
? ? ? ? ? ? ? 
 So speed of light 
 
diamond rock salt water air
3 1 2
V V V V
V V V V
? ? ?
? ? ?
 
 
5.  
  
 Form figure we can see that deviation in violet is maximum in both cases, as violet remains near the normal in 
both cases. 
 
6. The order of the parts of eyes are cornea, iris, pupil, lens, retina. 
 
7. By analysing the graph 
 For March 
 300 x 3.50 1050 Rs ? 
 For April  
 500 x 4.50 2250Rs ? 
 For May  
 500 x 4.50 2250 Rs ? 
 For June 
 300 x 2.50 750 Rs ? 
 Total = 1050 2250 2250 750 6300Rs ? ? ? ? 
 
8. When object is placed at focus, it gives maximum magnification as the image is formed at infinity. 
 
9. 
12
h 3cm, f 15cm, h 15cm,u ?, v ? ? ? ? ? ? ? ? 
 We know that 
 
2
1
h v
m
hu
15 v
3u
5u v
1 1 1 1 1 1
v u f 5u u 15
1 5 1
u 18cm
5u 15
v 90cm
??
?
?
??
? ? ? ? ? ?
?
??
? ? ? ?
? ? ?
 
 
10. From n to n1 light passes without deviation. So it means  n= n1 and this concave lens behaves as converging lens 
(opposite behaviour) in this case so, 
 
21
n n n ?? 
 
11. 
? ?
th
1
Sn u a 2n 1
2
? ? ? 
 So it depends on initial velocity (Most appropriate answer) 
 
 
12. K.E is maximum at mean position means at A. 
 Acceleration is maximum at extreme position means B and C 
 
13. P = 300 W, time per day = 1.5 hrs. 
 Rupees per unit = 3.50, time in days = 30 days 
 Cost for one day  
 = P x t x Ruppes 
 
0.3 x 1.5 KW / hr x 3.50
4.5 x 3.50 Rs
?
?
 
 Cost for 30 days 
 
0.45 x 3.50x 30
47.25 Rs
?
?
 
  
14. A, C and D are halogens. 
 
15. On moving left to right in periodic table, electro negativity increases. 
 
16. 
2
HS is reducing agent as it is undergoing in oxidation 
2
SO is oxidising agent as it is undergoing in reduction. 
 
17. Fact 
 
18. ? ? ? ?
? ? 2 2 4 4 g
CuCl H SO aq CuSO aq HCl ? ? ? ? 
 
19. (a) tomato juice, pH 3 ? to 4  
 (b) Vinegar pH = 2 to 3 
 (c) Washing soda pH above 7 
 (d) human blood pH > 7 
 
20. According to reactivity series 
 
 
 
 
21.  
  
 
 
 
22. 3, Propanoic Acid 
 
23. 
2 4 2
C H O is ethamoic acid 
 
3 3 3 2 2
effervescence
CH COOH NaHCO CH COONa H O CO ? ? ? ? ? 
 
24. Fact 
 
25. Fact 
 
26. 
K L M N
2 8 8 2
 
27. urea, uric acid and ammonia are harmful products of biochemical reaction but lymph is not produced by 
biochemical reaction 
 
28. (1) (D) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (2)  (C) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (3) (A)  
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (4)  (B) Lotus flower open in the morning and petals fall in the afternoon. 
 
29. Humans show Holozoic mode of nutrition which follows option (1) 
 
30. The label (A) is dendrite where the environmental information is picked in the neuron. 
 
31. Cytokinins 
 
32. Hydra reproduces by budding, fragmentation 
 
Page 4


Sat Sol: 
 
1. 
19
q 3 x 1.6 x 10 C , V 10V, W ?
?
? ? ? 
 
19
18
W qV
W 3 x 1.6 x 10 x 10
W 4.8 x 10 J
?
?
?
?
?
 
 In moving one Lithium Nucleas, work done is 10 J 
 So in moving 10 nucleus 
 
17
W ' 10W
4.8 x 10 J
?
?
?
 
 
2. Direction of Magnetic field produced near a current carrying wire is given by right hand thumb rule (direction only) 
and was discovered by Hans Oerested. 
 Direction of electric current is generated in a conductor moving in a magnetic field can be find out by using 
Fleming’s Right hand rule and was discovered by Michael Faraday 
 
3. M.R.I is Magnetic Resonance Imaging and is based on the magnetic effect of electric current. 
 
4. As we know 
 
diamod rock salt water air
? ? ? ? ? ? ? 
 So speed of light 
 
diamond rock salt water air
3 1 2
V V V V
V V V V
? ? ?
? ? ?
 
 
5.  
  
 Form figure we can see that deviation in violet is maximum in both cases, as violet remains near the normal in 
both cases. 
 
6. The order of the parts of eyes are cornea, iris, pupil, lens, retina. 
 
7. By analysing the graph 
 For March 
 300 x 3.50 1050 Rs ? 
 For April  
 500 x 4.50 2250Rs ? 
 For May  
 500 x 4.50 2250 Rs ? 
 For June 
 300 x 2.50 750 Rs ? 
 Total = 1050 2250 2250 750 6300Rs ? ? ? ? 
 
8. When object is placed at focus, it gives maximum magnification as the image is formed at infinity. 
 
9. 
12
h 3cm, f 15cm, h 15cm,u ?, v ? ? ? ? ? ? ? ? 
 We know that 
 
2
1
h v
m
hu
15 v
3u
5u v
1 1 1 1 1 1
v u f 5u u 15
1 5 1
u 18cm
5u 15
v 90cm
??
?
?
??
? ? ? ? ? ?
?
??
? ? ? ?
? ? ?
 
 
10. From n to n1 light passes without deviation. So it means  n= n1 and this concave lens behaves as converging lens 
(opposite behaviour) in this case so, 
 
21
n n n ?? 
 
11. 
? ?
th
1
Sn u a 2n 1
2
? ? ? 
 So it depends on initial velocity (Most appropriate answer) 
 
 
12. K.E is maximum at mean position means at A. 
 Acceleration is maximum at extreme position means B and C 
 
13. P = 300 W, time per day = 1.5 hrs. 
 Rupees per unit = 3.50, time in days = 30 days 
 Cost for one day  
 = P x t x Ruppes 
 
0.3 x 1.5 KW / hr x 3.50
4.5 x 3.50 Rs
?
?
 
 Cost for 30 days 
 
0.45 x 3.50x 30
47.25 Rs
?
?
 
  
14. A, C and D are halogens. 
 
15. On moving left to right in periodic table, electro negativity increases. 
 
16. 
2
HS is reducing agent as it is undergoing in oxidation 
2
SO is oxidising agent as it is undergoing in reduction. 
 
17. Fact 
 
18. ? ? ? ?
? ? 2 2 4 4 g
CuCl H SO aq CuSO aq HCl ? ? ? ? 
 
19. (a) tomato juice, pH 3 ? to 4  
 (b) Vinegar pH = 2 to 3 
 (c) Washing soda pH above 7 
 (d) human blood pH > 7 
 
20. According to reactivity series 
 
 
 
 
21.  
  
 
 
 
22. 3, Propanoic Acid 
 
23. 
2 4 2
C H O is ethamoic acid 
 
3 3 3 2 2
effervescence
CH COOH NaHCO CH COONa H O CO ? ? ? ? ? 
 
24. Fact 
 
25. Fact 
 
26. 
K L M N
2 8 8 2
 
27. urea, uric acid and ammonia are harmful products of biochemical reaction but lymph is not produced by 
biochemical reaction 
 
28. (1) (D) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (2)  (C) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (3) (A)  
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (4)  (B) Lotus flower open in the morning and petals fall in the afternoon. 
 
29. Humans show Holozoic mode of nutrition which follows option (1) 
 
30. The label (A) is dendrite where the environmental information is picked in the neuron. 
 
31. Cytokinins 
 
32. Hydra reproduces by budding, fragmentation 
 
33. 2 male gametes in angiosperms are required for the formation of seed (1 male gamete fuses with the egg to form 
the zygote and the second male gamete fuses with the two polar nucleus to form the triploid endosperm). 
Therefore 25 seeds 50 male gametes are involved 
 
34. The basis process in reproduction is a creation of DNA copy, because DNA is the genetic material 
 
35. Lungfish is a connecting link between Pisces and amphibian 
 
36. The F2 ratio is 9 : 3 : 3 : 1. The 9/16 of 320 = 180, shows yellow and round phenotype 
 
37. The burning of rice straw produces green house gases like CO2, CH4, SO2 etc., 
 
38. The biomedical waste like syringes is not handle properly can transmit disease like AIDS 
 
39. Family is the category the lies between genus and order  
 
40. Earthworm belongs to Annelida Phylum. 
 
81. 
2
Sum 5x 5n ?? 
 
2
11
a S 5(1) 5(1) 0 ? ? ? ? 
 
2 2 1
a S S 10 0 10 ? ? ? ? ? 
 
2
3 3 2
a S S 5(3) 5(3) 10 20 ? ? ? ? ? ? 
 
21
d a a 10 ? ? ? ? 
 
10
a a 9d 90 ? ? ? ? 
 Option (2) is correct 
   
82. 
a b c
k
x y y z z x
? ? ?
? ? ?
 
 a k(x y) ??  
 c k(z x) ??  
 a c k(y z) b ? ? ? ? 
 So, option (4) is correct 
 
83. 2 ? ? ? ? 
 
33
98 ? ? ? ? 
 
33
(2 ) 98 ? ? ? ? ? ? 
 
33
8 6 ( 2) 98 ? ? ? ? ? ? ? ? ? ? ?? 
 6 ( 2) 90 ? ? ? ? ? 
 
2
2 15 ? ? ? ? ? 
 
2 4 ( 60)
2
? ? ? ?
? ? ? 
 
2 64
2
??
? 
 
28
2
??
?? 
 
2 8 2 8
or 5
22
? ? ? ?
? ? ? ? ? ? 
 3 or 5 ? ? ? 
 3, 3 2 5 ? ? ? ? ? ? ? 
 5, 5 2 3 ? ? ? ? ? ? ? ? ? ? 
 
2
x ( )x ? ? ? ? ? ? ? ? 
 
2
(3,5) x 8x 15 ? ? ? 
 
2
2
2
( 3, 5) x ( )x 0
x ( 8)x 15 0
x 8x 15 0
? ? ? ? ? ? ? ? ? ? ?
? ? ? ? ?
? ? ? ?
 
 So, option (1) is correct 
 
Page 5


Sat Sol: 
 
1. 
19
q 3 x 1.6 x 10 C , V 10V, W ?
?
? ? ? 
 
19
18
W qV
W 3 x 1.6 x 10 x 10
W 4.8 x 10 J
?
?
?
?
?
 
 In moving one Lithium Nucleas, work done is 10 J 
 So in moving 10 nucleus 
 
17
W ' 10W
4.8 x 10 J
?
?
?
 
 
2. Direction of Magnetic field produced near a current carrying wire is given by right hand thumb rule (direction only) 
and was discovered by Hans Oerested. 
 Direction of electric current is generated in a conductor moving in a magnetic field can be find out by using 
Fleming’s Right hand rule and was discovered by Michael Faraday 
 
3. M.R.I is Magnetic Resonance Imaging and is based on the magnetic effect of electric current. 
 
4. As we know 
 
diamod rock salt water air
? ? ? ? ? ? ? 
 So speed of light 
 
diamond rock salt water air
3 1 2
V V V V
V V V V
? ? ?
? ? ?
 
 
5.  
  
 Form figure we can see that deviation in violet is maximum in both cases, as violet remains near the normal in 
both cases. 
 
6. The order of the parts of eyes are cornea, iris, pupil, lens, retina. 
 
7. By analysing the graph 
 For March 
 300 x 3.50 1050 Rs ? 
 For April  
 500 x 4.50 2250Rs ? 
 For May  
 500 x 4.50 2250 Rs ? 
 For June 
 300 x 2.50 750 Rs ? 
 Total = 1050 2250 2250 750 6300Rs ? ? ? ? 
 
8. When object is placed at focus, it gives maximum magnification as the image is formed at infinity. 
 
9. 
12
h 3cm, f 15cm, h 15cm,u ?, v ? ? ? ? ? ? ? ? 
 We know that 
 
2
1
h v
m
hu
15 v
3u
5u v
1 1 1 1 1 1
v u f 5u u 15
1 5 1
u 18cm
5u 15
v 90cm
??
?
?
??
? ? ? ? ? ?
?
??
? ? ? ?
? ? ?
 
 
10. From n to n1 light passes without deviation. So it means  n= n1 and this concave lens behaves as converging lens 
(opposite behaviour) in this case so, 
 
21
n n n ?? 
 
11. 
? ?
th
1
Sn u a 2n 1
2
? ? ? 
 So it depends on initial velocity (Most appropriate answer) 
 
 
12. K.E is maximum at mean position means at A. 
 Acceleration is maximum at extreme position means B and C 
 
13. P = 300 W, time per day = 1.5 hrs. 
 Rupees per unit = 3.50, time in days = 30 days 
 Cost for one day  
 = P x t x Ruppes 
 
0.3 x 1.5 KW / hr x 3.50
4.5 x 3.50 Rs
?
?
 
 Cost for 30 days 
 
0.45 x 3.50x 30
47.25 Rs
?
?
 
  
14. A, C and D are halogens. 
 
15. On moving left to right in periodic table, electro negativity increases. 
 
16. 
2
HS is reducing agent as it is undergoing in oxidation 
2
SO is oxidising agent as it is undergoing in reduction. 
 
17. Fact 
 
18. ? ? ? ?
? ? 2 2 4 4 g
CuCl H SO aq CuSO aq HCl ? ? ? ? 
 
19. (a) tomato juice, pH 3 ? to 4  
 (b) Vinegar pH = 2 to 3 
 (c) Washing soda pH above 7 
 (d) human blood pH > 7 
 
20. According to reactivity series 
 
 
 
 
21.  
  
 
 
 
22. 3, Propanoic Acid 
 
23. 
2 4 2
C H O is ethamoic acid 
 
3 3 3 2 2
effervescence
CH COOH NaHCO CH COONa H O CO ? ? ? ? ? 
 
24. Fact 
 
25. Fact 
 
26. 
K L M N
2 8 8 2
 
27. urea, uric acid and ammonia are harmful products of biochemical reaction but lymph is not produced by 
biochemical reaction 
 
28. (1) (D) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (2)  (C) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (3) (A)  
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (4)  (B) Lotus flower open in the morning and petals fall in the afternoon. 
 
29. Humans show Holozoic mode of nutrition which follows option (1) 
 
30. The label (A) is dendrite where the environmental information is picked in the neuron. 
 
31. Cytokinins 
 
32. Hydra reproduces by budding, fragmentation 
 
33. 2 male gametes in angiosperms are required for the formation of seed (1 male gamete fuses with the egg to form 
the zygote and the second male gamete fuses with the two polar nucleus to form the triploid endosperm). 
Therefore 25 seeds 50 male gametes are involved 
 
34. The basis process in reproduction is a creation of DNA copy, because DNA is the genetic material 
 
35. Lungfish is a connecting link between Pisces and amphibian 
 
36. The F2 ratio is 9 : 3 : 3 : 1. The 9/16 of 320 = 180, shows yellow and round phenotype 
 
37. The burning of rice straw produces green house gases like CO2, CH4, SO2 etc., 
 
38. The biomedical waste like syringes is not handle properly can transmit disease like AIDS 
 
39. Family is the category the lies between genus and order  
 
40. Earthworm belongs to Annelida Phylum. 
 
81. 
2
Sum 5x 5n ?? 
 
2
11
a S 5(1) 5(1) 0 ? ? ? ? 
 
2 2 1
a S S 10 0 10 ? ? ? ? ? 
 
2
3 3 2
a S S 5(3) 5(3) 10 20 ? ? ? ? ? ? 
 
21
d a a 10 ? ? ? ? 
 
10
a a 9d 90 ? ? ? ? 
 Option (2) is correct 
   
82. 
a b c
k
x y y z z x
? ? ?
? ? ?
 
 a k(x y) ??  
 c k(z x) ??  
 a c k(y z) b ? ? ? ? 
 So, option (4) is correct 
 
83. 2 ? ? ? ? 
 
33
98 ? ? ? ? 
 
33
(2 ) 98 ? ? ? ? ? ? 
 
33
8 6 ( 2) 98 ? ? ? ? ? ? ? ? ? ? ?? 
 6 ( 2) 90 ? ? ? ? ? 
 
2
2 15 ? ? ? ? ? 
 
2 4 ( 60)
2
? ? ? ?
? ? ? 
 
2 64
2
??
? 
 
28
2
??
?? 
 
2 8 2 8
or 5
22
? ? ? ?
? ? ? ? ? ? 
 3 or 5 ? ? ? 
 3, 3 2 5 ? ? ? ? ? ? ? 
 5, 5 2 3 ? ? ? ? ? ? ? ? ? ? 
 
2
x ( )x ? ? ? ? ? ? ? ? 
 
2
(3,5) x 8x 15 ? ? ? 
 
2
2
2
( 3, 5) x ( )x 0
x ( 8)x 15 0
x 8x 15 0
? ? ? ? ? ? ? ? ? ? ?
? ? ? ? ?
? ? ? ?
 
 So, option (1) is correct 
 
84. No. of heart cards = 13 
 Total cards = 52 
 But face club are removed 
 So, total cards remained = 52 – 3 = 49. 
 Probability that the card drawn is a Heart card 
13
49
? 
 So, option (2) is correct 
 
85. Let speed of boat in still water = x km/hr 
 Let speed of stream = y km/h 
 Net speed of Boat for upstream = (x – y) km/hr 
 Net speed of Boat for downstream =(x + y) km/hr 
 
30 28
7 .....(1)
x y x y
??
??
 
 
21 21
5 ....(2)
x y x y
??
??
 
 Equation :  
 
2 1 1
28 7
x y x y x y
??
? ? ?
??
? ? ?
??
 
 
25
28 7
x y 21
? ? ?
?
 
 
2 140
7
x y 21
x y 6 .....(3)
? ? ?
?
? ? ?
 
 Put x y 6 ?? in (1) equation 
 x y 14 ....(4) ? ? ? 
 From (3) & (4) 
 
2x 20
x 10km / hr
??
?
 
 So, option (1) is correct 
 
86. Total Marks = 600 
 Marks in Maths = 60 
 Let marks scored by a students in the exam = x  
 
60
x 60
360
?
?
?? 
 
x
60
6
?? 
 x 360 ?? 
 
360
%of marks 100 60%
600
? ? ? 
 So, option (1) is correct 
 
87. 
63 4 4 2 2 2 2 k
m n m n m n (mn) ? ? ? 
 
2 1/3 2/3 k
(mn) (mn) (mn) (mn) ? ? ? ? 
 
3k
(mn) (mn) ??  
 k3 ?? 
 So, option (2) is correct 
 
88. Let’s cost of guavas = Rs x. 
 Let’s cost of apples = Rs y. 
 
20x 5y 12x 7y
8x 2y
y 4x
? ? ?
??
??
 
 So, option (3) is correct 
 
89. Let’s total students = x. 
    < 20 = 10% of total students 
 20  - 40 = 20% of total students 
 40 – 60 = 35% of total students 
 60 – 80 = 20% of total students 
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