Upload
others
View
0
Download
0
Embed Size (px)
Citation preview
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 Head Office: Plot No. A-51 [A], IPIA, Near Resonance CG Tower Contact : 8824078330
®
Website :www.pccp.resonance.ac.in | E-mail : [email protected] SAT
NTSE STAGE-I-2017-18 PAGE-1
NATIONAL TALENT SEARCH EXAMINATION-2017-18, JHARKHAND SCHOLASTIC APTITUDE TEST (SAT)_HINTS & SOLUTIONS
1. Sol. (3) 2. Sol. (4)
3. Sol. 1 1 2R r r
1 22
1 2
r rRr r
1 1 21 2
2 1 2
R (r r ) (r r )R r r
2
1 2
1 2
(r r )r r
4. Sol. (3) e–
IB
B
= out of the paper
using fleming left hand Rule, Force experienced by electron will be, upwards. 5. Sol. (1) 6. Sol. X-ray is an electromagnetic wave.
7. Sol. (1)
Dispersive power will be gretest for Red light for a medium. 8. Sol. (1) 9. Sol. (3)
10. Sol. 2
ratedrated
VPR
rated220 220R
100
2
rated
(110)PR
= 25 W
11. Sol. (3) u
v = 80 cm
f = ?
1 1 1v u f
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-2
100 1 180
Pf
100 1 2580
P .
And lens is concave lens
12. Sol. Range sin2
sine is maximum when angle is 90°.
2 9045
13. Sol. (1) 14. Sol. (3)
Pb(NO3)2 + 2HCl PbCl2 + 2 HNO3
White ppt 15. Sol. (4)
Isomers of C4H8 = 4
i.e (i) 1- Butene, (ii) 2- Butene, (iii) 2- methyl -1- propene (iv)Cyclo butane
16. Sol. (3)
C-C bond length= 1.54 AO
17. Sol. (4) Only Terminal Alkynes give red precipitate with ammonical CuCl (i.e. 1- Butyne)
18. Sol. (2)
Among given options strongest reducing agent is LiAlH4.
Propionic acid Reduction 1- Propanol
19. Sol. (3) Oxidation of secondary alcohols give Ketones in one step.
20. Sol. (2) R-O-R (ether) is a Lewis base.
21. Sol. (2)
2NaNO2 + Dil. H2SO4 Na2SO4 + + NO2 + NO + H2O
NO2 & NO gases will not turn lime water milky.
22. Sol. (2)
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-3
23. Sol. (1) F.P. depression is the process in which adding is solute to a solvent decreases the f.p. of the
solvent when we add solid particles in a liquid than it hinders the inter particle attraction so that f.p.
decreases.
24. Sol. (4) Alpha particle is He nuclei.
25. Sol. (1) Blue Zone.
26. Sol. (1) Base
27. Ans. 4 28. Ans. 2 29. Ans. 2 30. Ans. 3 31. Ans. 2 32. Ans. 2 33. Ans. 2 34. Ans. 4 35. Ans. 4 36. Ans. 2
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-4
37. Ans. 3 38. Ans. 4 39. Ans. 4 40. Ans. 3 41. (3) Sol. Let n = 9M + 7
3n – 1 = 3 (9m + 7) = 27m + 21
= 27m + 18 + 3
= 9 ( 3m + 2) + 3 27 m + 21 then Remainder is 3
= (27m + 18 ) + 3
42. (4) Sol. 3 23 1x x x
So 33 1
1a – d a a d a
1a d .a. a d
2 2 1a a d
2 21 1a d
21 1d
2d
So a + d = 1 2
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-5
43. (2)
Sol. 3 1 12 1 1 2 1k k k
2 1 1k k
2k
3 1 2 1k k
3 3 2 1k k
K = 3 –1 K =2
44. (2) Sol. k , k : 1 k , k :1
bka
bk 1a
qkp
qk 1p
cka
rkp
2 cka
2b ck
a(k 1) a
2 rk
p
2q rk
p(k 1) p
2
2 2kb c
aa (k 1)
2
2 2k q r
pp (k 1)
2
2 2k c a
a(k 1) b
2
2 2k r p
p(k 1) q
2
2 2k ca
(k 1) b a
2 2
k pr(k 1) q
= 2
cab
2 2ca prb q
2222 2
12
22 22 2
pr4ca b 1 4b 1 qD b 4ac bD q 4pr pr prq 1 q 1 4
q q
2
2bq
45. (1) Sol.
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-6
tan P2
+ tan Q b2 a
P Q Ctan tan2 2 a
P + Q = 2
P Q
2 4
P Qtan tan2 2 4
P Qtan tan2 2 1P Q1 tan tan
2 2
ba 1c1a
b c1a a
c b 1a a c b a c = a + b
46. (1)
Sol.
1 11
22 2
2 1 3 1325 212 1
2
n a n ds nns na n d
1 1
2 2
122 3 13
5 21122
na dnnna d
So 1 232
n
So n = 47
1 1
2 2
23 3 47 13 123 5 47 21 2
a da d
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-7
47. (2)
Sol.
6030
60 30vt c 2v
DB
A
200 3
ABD
200 3302
tan ºvt v
1 200 323 vt v
2 200 3 600vt v
ABC
200 360tan ºvt
Vt = 200 By eq (1) & (2)
2 600vt v
200 2 600v
2v = 400
V = 200 m/minut
Or 200 6060
meterVminut
12000 12
60V k / hr
48. (2)
Sol.
sin x y a bsin x y a b
Apply C & D
sin x y sin x ysin x y sin x y
a b a ba b a b
So
2 22 2
sin xcos y acos xsin y b
tan x coty = a/b
of tan x atan y b
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-8
49. (1) Sol. Total out comes = 62 = 36 Favoulable out comes = (4,5) (5,4) (5,5) (6,3) (3,6) (6,4) (4,6) (5,6) (6,5) (6,6)
So 10 536 18
P
50. (3)
Sol.
1 23 2 5 2m m2 5 6 5
13
3m1
2m 3
m1m2 = –1 BAC 90
equation of line passing though A(5, 2) is :
2x + y – 12 = 0
2(5) + 2 – 12
10 + 2 – 12 = 0 This is the only equation with satisfies (5, 2) 51. (4)
Sol.
2 2(x 4) (y 0) 25
2 2x y 8x 16 25 0 2 2x y 8x 9 0
52. (2) Sol. a, b, c, d, e, f, g First (a + b + c + d) 4 x 8 = 32 Last (d + e+ f + g) 4 x 16 = 64 32 + 64 = 96 96 – (7 x 10) = 26
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-9
53. (4) Sol. r2 = 10 m r1 = 5 m
Area increase 2 22 1r r–
4 4
3.14 100 – 254
= 58.875 m2 54. (4)
Sol.
2 212 3 5l .
144 12 25l .
12 5l . cm
2r 2 r
22 7 22 7 712.5 27 2 7 2 2
11 x 12.5 + 77
= 214.5 cm2
55. (1)
Sol. Volume of hollow sphere 3 34 R – r3
4 22 64 – 83 7
4 22 456 22 83 7 3
Now making cone so 21 4r h 22 83 3
1 22 44 4 h 22 83 7 3
4 22 8 7h 14 cm22 1 16
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-10
56. Sol. (4)
352.5
5352.5
2rl rh
22 2252 3 53 2 52 5 37 7
. .
Solving = 9735 m2
57. Sol. (2)
30P (OB = OP = radius)
So 120BOP º
and 90OPT º (tangent)
Now Q + 120OPT º (Exterior angle property)
30º
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-11
58. (3) Sol. Here OP2 – PR2 = OR2
So OR = 3 cm
OPR OTP (By AA criteria)
OP OR 5 3OT OP 5 VT 5
10VT3
So TP2 = TV x TM
2 10 40TP3 3
20TP cm3
59. Sol. (2)
A
B
Q
r
r
rPO Q
Let APO & 90OAP º
So Sin 12 2rr
30
So 60APB º
& PA = PB (tengent)
So its a Equailateral triangle
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-12
60. Sol. (3)
x (90º –x)
(90º –x)x
DA B
C
So BDC CDA
BD DCCD DA
So 2CD BD AD
NATIONAL TALENT SEARCH EXAMINATION-2017-18, RAJASTHAN|05-11-2017| ®
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 PCCP Head Office: J-2, Jawahar Nagar, Main Road, Kota (Rajasthan)-324005 Contact : 1-0744-2434727, 8824078330
Website :www.pccp.resonance.ac.in | E-mail : [email protected]
®
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
SAT (SOLUTION) NTSE STAGE-I-2016-17
PAGE-13