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1. (B)2. (B)
3. (D)
4. (A)
5. (C)
6. (C)
7. (C)
8. (A)
9. (D)
10. (C)
11. (B)12. (B)
13. (C)
14. (A)
15. (B)
16. (D)
17. (C)
18. (A)
19. (B)
20. (A)
21. (A)22. (A)
23. (A)
24. (B)
25. (D)
26. (D)27. (B)
28. (D)
29. (B)
30. (D)
31. (C)
32. (B)
33. (B)
34. (C)
35. (A)
36. (A)37. (D)
38. (C)
39. (B)
40. (A)
41. (D)
42. (B)
43. (A)
44. (*)
45. (B)
46. (C)47. (C)
48. (A)
49. (C)
50. (D)
51. (D)52. (B)
53. (*)
54. (C)
55. (B)
56. (B)
57. (C)
58. (B)
59. (A)
60. (B)
61. (A)62. (B)
63. (C)
64. (C)
65. (A)
66. (A)
67. (C)
68. (C)
69. (B)
70. (B)
71. (C)72. (B)
73. (A)
74. (C)
75. (B)
76. (D)
77. (B)
78. (B)
79. (C)
80. (*)
81. (B)
82. (B)
83. (B)
84. (C)
85. (C)
86. (C)87. (D)
88. (B)
89. (B)
90. (B)
91. (B)
92. (A)
93. (C)
94. (C)
95. (A)
96. (A)97. (C)
98. (A)
99. (B)
100. (C)
CGL TIER 2 M7
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1.(B) H ; = 4, ;
= 3 & . ; = 20S, 20 ;
S20
=20
2 2 (4) + (201) 3 = 10 8 + 57 = 650
2.(B) G , 10 + = 7 ( +
), 3 6 = 0
= 2 N, 3,
, 10( + 3) + ( + 3) = 6 ( +3 +
+3) +6 4 5 9
, 8 5 = 9 . () = 3 &
= 6
T 63.3.(D) G = 325 (1 + 3 + 32 + 33 )
= 325 40 = (324 3) (4 10) = (324
4) (3 10)
304.(A) LCM 6, 9 12 = 36
N 36 + 4S, 300
400S, 328 ( = 9)
364 ( = 10)R = 328 + 364 = 692
5.(C) A = 3.78 5.25 = 378 525 = 198450
198450 = 21 21 450450 21 21
6. (C) 1 = 4, 2 = 4 1
2= 2,
3 = 2 1
2= 1
T S = 4 +2 +1 +1
2+
1
4 ....
GP
= 4, =1
2
N, < 1
S, S; S =1
=
4
11
2
= 4
1
2
= 8
7.(C)
3 3 3
2 2 2
3
S,3 3 3
2 2 2
(1.5) (4.7) (3.8) 3 1.5 4.7 3.8
(1.5) (4.7) (3.8) 1.5 4.7 4.7 38 3.8 1.5
= 1.5 + 4.7+ 3.8 =10
8.(A)7
8 7 4 5
2
8 1
7 52
1
8 7 52
158 5
2
8 15
2 + = 5
1
2+ = 5
9.(D) 23 + 43 + 63 + ..... + 203
= (2 1)3 + (2 2)3 + (2 3)3 +....+ (2 10)3
= 813 + 8 23 + 8 33 +....+ 8 103
= 8 13 + 23 +33 + 43 +....+103= 8 3025 =
24200
10.(C) R = 9 9 8 7 6 5 4 3 2 1= 9 9!
11.(B) I I 2000=
1.20
I I 2000
= ( 50000) 1.20
P = 20 + 6 = 26%I 2001 = (
50000) (1.00+0.26)
T, 1.26 ( 50000) = 1.20
= 105000012.(B) T
= 15 N
N =
7
8
N = 7 8 N = 25% 7
=25
100 7 = 1.75
N = 20% 8
=20
100 8 = 1.6
N = 8 1.6 = 6.4
6.4 = 235200
=235200
6.4 = 36750
T = 15 36750 = 551250
13.(C) G, = 20%, = 30%, = 10%, A
= 100.80
R
=100 100 100
(100 )(100 )(100 )
=100.80 100 100 100
80 70 90
CGL TIER 2 M7
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=100800
8 7 9 = 200
14. (A) L I = 3 , 5 7A (3 45600) : 5 : (7 + 337600)=
24 : 59:167
3 45600 245 59
= 47200
A = 47200 3 = R.141600
15.(B) G,14
15
35
24
35
24
(
)
N
14 3515 24
2
2
49
36
7
6
7
6
16. (D) 15% (A + B) = 25% (A B)
15
100 (A+B) =
25
100 (AB)
15 (A + B) = 25 (A B)
15 A+ 15B = 25A 25B 10A = 40B A = 4B
N % B A
100
B = A = 4B
= 400%17. (C) L
A.T.Q.,
F =20
100 =
5
& S =50
100
=2
R
=100
5
2
=
2100
5
= 40%
18.(A) L, A 11 =
T = 11 . 26 26 + 3 = 29 . .
T 9 = 11 (26+ 29) = (11 55) .
N, ATQ,
11 55
9
= 1
, 11 55 = 9 9 = 2 = 44 = 22
19.(B) S 3 = 22C 3 = 66C
S 3 = 24 C 3
= 72C
S = 23.5C 7
= 164.5C
T = (164.5 66 72)C = 26.5C
20. (A) L
(45 ) .
T, ( 5) (45 5) = 4
( 5)
2 + 41 180 = 0
= 36
T 36 & 9 . .
21.(A) L
3 : 5.
S, A.T.Q.,
40 3
60 5
200 5 = 180 3 2 =
20
= 10 .22.(A) L 3150
, , .
2 3 4 12 =
T = 2, = 3 , = 4 = 12
A + + + = 3150
(2 + 3 +4 +12) = 3150 21 = 3150 =
150 H 300, 450, 600, 1800
S, 1800
23.(A) L
A B R. 2 R.3
3 & 4.
G A' = 1/5 = 2 /5
2 3 =1
5 (2 )
4
5 (2) = 3 =
8
15
P
B = 3 4 = 3 48
15 =
13
15
H
2
5
:13
15
= 6:13
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24.(B) M : =1 2
:3 3
= 4 : 8
M: =1 3
:4 4
= 3 : 9
M = 4 + 3 = 7 = 8 + 9 = 17
R = 7 :17
25.(D) T = 2 0.9 + 5 0.8 +
9 0.7= 12.1
M
=12.1
1002 5 9
= 75.625%
= 100 75.625% = 24.735%
M : =75625
24735 = 121: 39
26. (D) L ' =
G, 18 + 82
60 =1700
22 =1760
22
M S =1760
22 30 = 2400
27.(B) A 3 .
S' 3 = 31
6 =
1
2
S, S R.1
3202 = 160
M' 3 = 3 1
8 =
3
8
S, M 3
3208
= 120
R = 320 (160 + 120)
= 320 280 = 40
28.(D) L
.
12 1
100
+
10 1
100
= 130
12 + 10 = 13000 ()
12 1
100
+
10 1
100
= 134
12 + 10 = 13400 ()O E. () (),
= 500 = 700
29.(B) L = P,
A = 2P SI = P = 8 .
R =100
=100
8
% =1
12 %2
30. (D) C =
=
7
100
8
100
8
7
ATQ,
9100
10100
=1
8
7
9
100
10
=1
18
175
10
= 1
36 35
350
=1
= 350
31.(C) C = 10
11
S = 11
10
P =11
10
10
11=
121 100
110
=
21
100
P =
21100
11010
11
=
2100
110
11
10 =21%
32.(B)L / . =( +2)/
= ( 2) /S, A.T.Q.,
20 20 110
2 2 60
20( 2 2) 11
( 2)( 2) 6
11 2 44 = 240 (
22)(11 + 2) = 0
, 22 = 0 = 22/
33. (B) D = D S
D
= 165 155
15 = 1705
34. (C) S =20 50 18
60 5
= 60/
35. (A) S 7
11
, 11
7
.L .
T ,11
7 = 22
=22 7
11
= 14
T = 22 14 = 8 36.(A) P = 9000, =
10%
= 3
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S, A = 9000
310
1100
= 90009
10
9
100
9
10 = 6561
37.(D) H, R1 = 8%, R
2 = 10%, R
3= 12%
P = 6000 =
1 +
2+
3= 3.
1 =
2 =
3 =
60008
1100
101
100
121
100
= 108 110 112
6000100 100 100
= 27 11 28
600025 10 25
= 7983.366
C I = 7983.366 6000= R. 1983.366
38. (C)T / /.N,
. R = ( ) /
=100 80
18
=10
S + =100 80
9
= 20
B E. () E. (), = 15/ = 5/
S = 15 /.
39.(B) I BCD,
BD2 = BC2 + CD2 = 2 + 2
BD = 2
BD = AE = 2
OE = OA + AE = 2 . + 2 . 2
2 BA = DE =
I ODE,OD2 = OE2 + DE2
M
OD =2
22 2. = 2 28 = 3
40. (A) 5.5 = 2.25
60 =2.25
605.5
=1350
55
A
60.
=1350
55 12 =
690
55
92
55
690 92 =
22
3
R =77
22
3
=231
22 = 10.5/
41.(D) L = A.T.Q.,
Q
1 =20
Q 1
= 120
A ,
20 30
= 120 240
10 15
3 2
30
= 240
30
= 240
= 240 30 = 7200 42.(B) A' 3 .
= ( 250000 3 + 100000 2 + 100000 1)
= 1005000
B' 3
= 350000 2 = 700000
C' 3 . = 350000 1
= 350000
R A : B: C= 1005000 : 700000 : 350000 = 3: 2 :1
B' =2
3 2 1 1500000
= 500000
43.(A) / ,
, , .
S, 8 = 6 = 12
3
4 =
2
9 6
6 / .
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=9 6 6 = 324 12 , 12 12
1 = 8/
= (12 + 12 + 12 ) 8
=
312 12 12
4 2
8 = 216
D =324
216
= 11
2
44. (*) 1 ' ' =1
100
1 ' ' = 3
50
10 ' ' =3
5
R
2
5 15 6 .
15 6 5
2
= 15
O 225
45.(B) I
CP =)(100)(100
)(100 T
=
720 119
85 119
=720 119
204
= 420
46.(C) C = 250 +2500
150
=800
3
L = 320
SP = 320 5% 320 = 304
P =
800304
3800
3
100
=112
3
3
800 100 = 14%
47.(C)5
16
S
= 1 15
T S= 1 15 6
= 7 30
48.(A) A 45 16 220
1 1
= 220 45 16
32
24 =220 45 16
33 24
= 200
N = 220 200 = 20
49.(C) T A 1
=2
5 6 =
1
15
T B 1
B =1 1
3 10 30
T A B
1 =1
15 +
1
30=
3
30=
1
10
4
5
A B
1 =4
5
1
10
=4 10
5
= 8
50.(D) : : = (16000 3 + 11000 9 : 12000
3 + 17000 9 : 21000 6)
= 7 : 9 : 6
(' ' )
= 9 6
26400 2640022 22
= (10800 7200) = 3600
51.(D) S = /
S = /
T,
=1
3
= 2
: = 2 : 152.(B) G = 2 + 4 48 = 6
48
= 408
H = (7 24 + 2 ) = 170 .
C =408
170 = 2.4 /
I 2 120 120
2.4 . = 50
C 2 T
53. (*) ,,
3 3 5 2 11 3
=3
)5(=
3
5
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=3
11
=3
)3( =
3
3 = 1
N,
3333 = ( )
222
3333 = ( )
( )2
222
13333
=
(3
3
5
3
5 2
=
3
113
9
25
3
5
=
11
9
25
3
5
=
9
9925
3
5
333 = 34
124
3
5
= 327
620
=27
81620 =
27
701
54. (C) = 2 =
2
2 4 3 3 3 2 + 6
2
)2( )2(
2 4 3 3 3 2 + 6
2
( 2 2) 2 4 3 3
3 2 + 6 2N,
O = 2 2 3 + 1
2 2 3 + 1 = 0
2 2 2 + 1 = 0
2 ( 1) 1( 1) = 0
(2 1) ( 1) = 0
=2
1, 1
55. (B) , , +
3 3 2 + + 1
=1
)3( = 3
+ + +
= 33 = 3 = 1
P =1
1
( ) ( ) ( + ) = 1
(1 ) (1) (1 + ) = 1 1 2= 1 2 =
2
= 2H, = 1, = 2
56. (B) ( 1) 4 3 +
3 2 4 +
R P(1) = 0 4(1)3 + 3(1)2 4 1 +
= 0
4 + 3 4 + = 0 = 3
57. (C) V = 12 2 + 8 20 =
4 3 2 + 2 5= 4 3 2 +
5 3 5= 4 (3 + 5)
1(3 + 5)= (4 )( 1)(3 +
5)
3 = 3 + 558. (B) L J = .
= T 5
J = 5 = 5
5 = 7( 5) 7 + 30
= 0 .... (1)
F J = + 5 = + 5
+ 5 = 3( + 5) .... (2)O . (1) &
(2)
= 40, = 10H = 40 & 10
59. (A) T .
2
1
=
2
1
2
1
12
3
=
1
1
12
1
3 3 = 2 1
= 2
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60. (B) L A & B .
A + 100 = 2(B 100)A 2B = 300 .... (1)
B + 10 = 6(A 10)
6A B = 70 .... (2)
O . (1) & (2), A = R. 40 & B = R. 170
61. (A) L 2 = 3 =
6 =
2 = 1)( , 3 =
1
)( , 6 = 1
)(
N, 2 3 = 6
1)( .
1
)( = 1
)(
11 =
1
H
1+
1 +
1 = 0
62.(B) 4 = 3 =3
4
=
1
1
=1
1
=
31
4
314
=
1
47
4
=1
7
63.(C) A, 3 43 = 3 S, 3 15 4 3 15 = 3 (15)= 45
=1
2
64.(C) T +
2 2 &, = 1 , = 1
S, M = 1 1 = 2
65.(A) ( + ) = 21 ( ) = 161
25 =
19
25 =
3
5
( )= 21 ( ) = 25
1169
= 144
169 =
12
13
( + )=( )
( )
=
3 5
5 4
=3
4
( )=( )
( )
=
5 13
13 12 =
5
12
(2 )=
( ) ( )
1 ( )( )
3 5564 12
3 5 3314 12
66. (A) 3A = (A 30)
(90 3A) = (A 30) (90 3A) = A 30 120 = 4A
A = 30
N 2A = 2 30
= 60 = 3
67. (C) L P.
I OMP,
PO
MO= 2
PO
= 2
PO = 2
N,I ONP
=PO
ON =
2
ON
ON = 2
T
= 2
68. (C) L 'A'
' ' ' '
I ABN
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=AB
BN N BN = BC + NC
= + + =
( + 2 )
=
2
AB = ( + 2 )
I , =
MC = NC
+ = NC
F (1) & (2),
( + 2 )
( ) = 2
=
2
H = +
=2
=2
=
=
69. (B) L T 1 & T
2 .
I ABT 2
30 =AB
A T 2
3
1 =
310
A T 2
T 2A =
3
310= 10
70. (B) L 1 &
2
6 & 2
L AC =
1P =
2Q = AC =
QP = 4
I BP1
60 =P
BP
1
3 = P4BQ
1
BQ + 4 = 3 1P = 3
BQ = 3 4
I BQ2
30 = Q
BQ
2
3
1=
43
= 3 34
2 = 34
= 32H = BQ
= 43
= 4323 = 6 4 = 2H
= 2 + 4 + 2 = 8 71.(C) L .
T, AC = 2 AO = OC =
2
H, AM =
2
LM =
2
2 OM =
2
I OML
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2
=
22
2
=
2 1
21
2
= 2 1
= 22 2
1 2
=2 2 1
1 (2 1 2 2)
=2 2 1
1 3 2 2
=
2 2 1
2 2 2
=1
72.(B) F O OL AB OM CD & OA OC
AL =1
2, AB = 5 , OA = 13
OL 2 = OA2 AL 2 = (13)2 (5)2
= (169 25) = 144
OL = 144 = 12
N, CM =1
2CD = 12 OC = 13
OM2 = OC2 CM2 = (13)2 (12)2
= (169 144) = 25
OL = 25 = 5
ML = OM + OL = (5 + 12) = 17
73.(A) I ABC
A =1
2 =
1
2 AC
AC =2A
U P ,
AC2 + AB2 = BC2
BC =2
2
2
4A
A ABC, A =1
2 BC AD
AD = 2 42
2A
4A
= 2 4
2A
4A
74. (C) AC,
B & BAC ( AA .)
BAC .
( B) = (. CA) =2
1( BAC)
)BAC(
)B(
= 2
2
BA
B
)B(2
)B(
= 2
2
BA
B
2
1 = 2
2
BA
B
BA
B =
2
1
1 BA
B = 1
2
1
BA
BA =
2
12
AB
A=
2
12 =
2 2
2
75. (B)
)COD(
)AOB(
= 2
2
CD
AB = 2
2
CD
)CD2(
AB = 2CD
( AOB) : ( COD) = 4 : 1
76. (D)
4BL 2 = 4BA2 + AC2 (1)
A, CM2 = CA2 +
2
AB2
1
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= CA2 +4
1AB2
4CM2 = 4CA2 + AB2 (2)A (1) &
(2)(4BL 2 + CM2) = 4(BA2 + CA2) + AC2 + AB2
4(BL 2 + CM2) = 5AB2 + 5AC2
= 5AB2 + AC2= 5 BC2
P
77. (B) I ACB & DCE
A = CEB ()
ACB = DCE () B AA ,
ACB DCE
DE
AB =
DC
CB =
9 =
1078
=15
109 = 6
78. (B) QT & RT PQR
& PRS .
TRS =2
1 PQR + QTR (1)
(E. )A,
PRS = PQR + QPR
2
1 PRS =
2
1 PQR +
2
1 QPR (2)
TRS =2
1 PQR +
2
1 QPR
F (1) & (2)
2
1 PQR + QTR =
2
1 PQR +
2
1 QPR
QTR =2
1 QPR
79. (C) ( ABCD) & ( ABMN) &
.
( ABCD) = ( ABMN) ( ABCD) = 80 .
A, APN & (ABMN) & .
( APN) =2
1( ABMN)
=2
1 80 .
= 40 .
80. (*)
I
BME 1 = 180 2 = 180
CEB = 180 ( 1 + 2) CEB = 180 180 + 180
= + 180 = +
81. (B) S (4, 6) AB K : 1
B
4 =1
6 13
4K 4 = 3K 6 7K = 2
=7
2
R = 2 : 7
82. (B)
C AC= C . BD.
2
62,
2
1 =
2
5,
2
43
2
1 =
2
7&
2
62 =
2
5
= 6 = 3
83.(B) C = =22
7 14 50
= 22002
C = 2200 0.80 = 1760
84.(C) L
A.T.Q,3
3
27
64
=
3
3
(3)
(4)
=3
4
N,
= 6 ()2
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R =2
2
6
6
=2
2
6 3
6 4
=9
16 = 9: 16
85.(C) L ED = N, AC = 2 28 6 =10
I AED,AE2 = AD2 2 = 36 2 ()
A CFD,CF2 = (8)2 (10 )2 ()
F E. () (), 36 2 = 64 (10 )2 (AE = FC)
36 2 = 64 (100 + 2 20 )
20 = 72
=18
5
F E. ()AE2 = 36
218
5
AE2
= 36
324
25 =
900 324
25
A ABCD
A AEFC =
8 6
2410
5
=1
86.(C)
C = V
=
3
2 + 2 + R
=22
7
24
3 (15)2 + 52 + 15 53
=22
7 8 225 + 25 + 753 =
176
7 (325)3
= 8171.433
87. (D) S = 31684
= 178 P = 4 178
= 712 L = 105% 712
= 1.05 712
= 747.6
T = 4 747.6
= 2990.4
88. (B) T
= 2 ( + )
= 222 2.1(4.5 2.1)7
= 2 22 0.3 6.6
= 87.12 2
12
1
12
11
.
12
11 = 87.12
T =11
1212.87 = 95.042
89. (B) S = 2 /
=60
10002/
L 1
=6
200
V =
= 3406
200 = 4000 3
90. (B)
AOB OMN
OM
OA =
MN
AB
24
12=
7
AB
AB =7
2
V = 3
1 2
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= 122
7
2
7
7
22
3
1 = 154 2
91. (B) F F F
1 = 9 = 4
2 = 4 = 10
= 12
A
= +
= (1 +
2) + 2
=7
22(9 + 4) 13 + 2 4 10
=7
22169 + 80
=7
22 249
= 782.57 2
92. (A)
=3
8 +
3
16 =
3
24 = 8 3
V = 2= 2 2 4= 16 3
R = 16 8 = 8 3
= 25.12 3
93.(C) S A 1991
= 35% 91.9
=35
100 91.9
= 32.165 = 32
94.(C) D = 21% 25.5 10% 29.2
=22
100 25.5
10
100 29.2
= 5.355 2.920 = 2.435
95.(A) H 38%. I
B.
96.(A) C B 12%.
S % T
B 8
12 100 = 67% .
97.(C) H
=18
100 413 = 7.43 = 8 (.)
98.(A) I
P H =
17+18 = 35%
99.(B) O 4 %
2% =2
100 4 = 0.08
P P =
0.08
17 100 = 0.5
100.(C) P P = 0.5%
I =0.5
100 413 = 0.20
