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Centres at:
==================================================================================
Ph: 011-27607854, (M) 8860-333-333 1
�MUKHERJEE NAGAR �MUNIRKA �UTTAM NAGAR� DILSHAD GARDEN �ROHINI�BADARPUR BORDER
SSC (Tier-II) - 2013 (Mock Test Paper - 1) [SOLUTION]
1. (A) ∵ Ratio of diameters of the cylinders
= 3 : 2
⇒ Ratio of radii of the cylinders
= 3 : 2
So, Let the radii of the two cylinders are 3rand 2r
and, Let the heights of the two cylinders are h
1 and h
2.
Now,
Volume of first cylinder
= volume of second cylinder
i.e. 12)3( hrπ = 2
2)2( hrπ
⇒ 2
1
h
h= 2
2
9
4
r
r
×π
×π=
9
4⇒ 4 : 9
2. (B) Difference in votes of candidates
= (100% – 46%) – 46% of the total votes polled
= 8% of the total votes polled
= 3680 votes
So,
Total votes polled (i.e. 100%)
= 1008
3680× = 46000
3. (C)Let C.P. = x
⇒ M.P. = 1.4x
⇒ S.P. = 0.75 × 1.4x = 1.05 x
⇒ % Profit = %100)05.1(×
−
x
xx
= 5%
4. (D)To keep the expenditure (Rs. 608) constant,
If % discount in initial cost of sugar = 5%
⇒ % increases in initial consumption
= %1005100
5×
−
= %19
100= 2 kg
⇒ Initial consumption (i.e. 100%)
= (2 × 19) kg
= 38 kg
So, Inititial S.P. of sugar
= kg38
608.Rs = Rs. 16/kg
5. (B) Ratio of the two numbers = 3 : 4
[L.C.M. = 12]
L.C.M. of the two numbers = 48
= 412
48
So, the two numbers are (3 × 4) & (4 × 4)
(∵ 3 & 4 are co-prime numbers)
i.e. 12 & 16
and so, sum of the two numbers
= 12 + 16
= 28
6. (C) 2A = 3B = 4C = k (let)
So, A : B : C
=2
k:
3
k:
4
k
= 122×
k: 12
3×
k: 12
4×
k
= 6k : 4k : 3k
= 6 : 4 : 3
7. (A) 43.5 : 25
= (22)3.5 : 25= 27 : 25
= = 22 : 1
= 4 : 1
8. (D) Required average price
= )812(
)408()3012(
+
×+×
= Rs.34/ kg
9. (A)
15cm
30cm
∵ Perimeter of square = 120 cm
⇒ Each side of the square
= 4
120cm = 30 cm
⇒ Radius of the inscribed greatest possible
circle = 2
30cm = 15 cm
⇒ Area of the circle = 22cm)15(×π
= 22 cm)15(
7
22×
10. (D)Now,
Required ratio =
T.S.A. of one small cubes : T.S.A. of the big cube
= 6 × (1)2 : 6 × (5)2
= 1 : 25
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Ph: 011-27607854, (M) 8860-333-333 2
�MUKHERJEE NAGAR �MUNIRKA �UTTAM NAGAR� DILSHAD GARDEN �ROHINI�BADARPUR BORDER
11. (D) From both the conditions, we have relation
2.5 km/hr × (t + 6) min
= 3.5 km/hr × (t – 6) min
(where t = actual time in minute)
⇒5.2
5.3
6t
6t=
−
+ ⇒ t = 36 minutes
So,
Required distance
= 2.5 km/hr × (36 + 6) minutes
[or, = 3.5 km/hr × (36 – 6) minutes]
= 4
31 km
12. (C) As distance is the same,
So, the required distance (from one side)
= 2
timetotalSpeedverage ×Α
= 2
hr60
348hr/km
425
4252
×
+
××
= 2
40km = 20 km
13. (D) Volume of cone = hr 2
3
1π
After increment,
New vol. = )h2.1()r2.1(3
1 2π
= 728.13
1 2 ×π hr
So, Required % increase
= %1001
1728.1×
−
= 0.728 × 100%
= 72.8%
14. (C) % (Fail in Hindi U Fail in English)
= % (Fail in Hindi + % (Fail in English – % (Fail in both Hindi & English)
= 52% + 42% – 17%
= 77%
So,
% (Passed in both the subjects)
= 100% – 77%
= 23%
15. (A) 5mainderRe:9
6709=
⇒ The required least number = 5
16. (C) 13.103.103.10
13.103.103.10
+−×
+××
r + 20%
1.2hh + 20%
1.2r
= 22
33
1)13.10()3.10(
1)3.10(
+×−
+
+=
+−
+∴ ba
baba
ba22
33
= (10.3 +1)
= 11.3
17. (D) Required no. = H.C.F. of (122 – 2) & (243 –3)
= H.C.F. of 120 + 240
= 120
18. (B) Money left = 100% – (80% + 6% of 20%)
= 100% – 81.2%
= 18.8% of total pocket money
And,
ATQ.
18.8% of total pocket money
= 47 paise
= Rs. 100
47
So, Total pocket money
(i.e. 100%)= Rs. 8.18
100
100
47×
= Rs. 2.5
19. (C) Let, r = radius of the circular field
Land portion of the circular field
= Total area of the circular field – Area of
the rectangular tank
⇒ 40000m2 = 22 m)120180(r ×−π
⇒ 2rπ = 61600 m2
⇒ r = 22
761600×m
= 19600 m
= 140 m
20. (B) Total C.I. in 2 years @ 12.5% p.a.
= (12.5%) + (12.5% + 12.5% of 12.5%) of sum
= sumof%8
5.12%25 +
= sumof%8
5.212
= Rs. 510
So,
Total S.I. in 2 years @ 12.5% p.a.
= (2 × 12.5%) of the sum
= 25% of the sum
= 255.212
8510×
×
= 480
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�MUKHERJEE NAGAR �MUNIRKA �UTTAM NAGAR� DILSHAD GARDEN �ROHINI�BADARPUR BORDER
21. (C)
1st condition
2nd condition
x 20% 1oss 0.8x
x 5% profit 0.8 x + 100= 1.05x
Let initial C.P. of the article.x =
C.P. S.P.
⇒ 1.05 x = 0.8x + 100
⇒ x = 25.0
100= 400
22. (D) Total S.I. = (3 ×12)% of the principal amount
= 36% of the principal amount
= Rs. 5400
So, The principle amount (i.e. 100%)
= Rs. 10036
5400×
= Rs. 15000
23. (C) S.I. in 4 years – S.I. in 2.5 years
= S.I. in 1.5 years
⇒ S.I. in 1.5 yrs = Rs. (1067.20 – 1020)
= Rs. 55.2
⇒ S.I. per year = Rs. 5.1
2.55= Rs. 36.8
So,
Principle money = Rs. 1067.2 – Rs. (36.8 × 4)= Rs. 1067.2 – Rs. 147.2
= Rs. 920
So,
Rate of interest per annum
= %100920
8.36×
= 4%
24. (C) 5012832 +−
= 252642162 ×+×−×
= 252824 +−
= 2 = 1.414
25. (C) Required distance
= 2
TimeTotalSpeedAverage ×
= 2
1)15()15(
)15)(15(2×
−++
−+×
km
= 2
8.4km = 2.4 km
26. (A) Total % discount on M.P.
= %404
120
4
10
2
1
×+×+×
= (0 + 5 + 10)%
= 15%
Now,
If C.P. = x
then, M.P. = 20% above C.P.
= 1.2x
⇒ M.P. after discount = 8.5% of 1.2x
= 0.85 × 1.2x
= 1.02x
So,
Total gain % = %10002.1
×−
x
xx
⇒ = 0.02 × 100%
= 2%
27. (?) Money spent on article
= 25% of total amount
Money spent on cloths
= 10% of remaining (75%) amount
= 7.5% of total amount
⇒ (25% + 7.5%) of total amount + Rs. 531.25
= Total amount – Rs. 8000
⇒ Total (100%) amount – 32.5% of totalamount = Rs. 8000 + 531.25
= Rs. 8531.25
⇒ 67.5% of the total amount = Rs. 8531.25
So,
Money spent on clothes
i.e. 7.5% of the total amount
= 5.75.67
25.8531×
= Rs. 948
28. (D) Required time = 4060
4060
−
× minutes
= 20
2400minutes
= 120 minutes
29. (A) Average Speed= 6040
60402
+
××km/hr
= 100
4800 km/hr
= 48 km/hr
30. (B)
Total distance covered
= 12 km + 12 km
= 24 km12 km
down warddown ward
up ward
12 km
Total time taken = 3 hours
⇒ Average Speed = 3
24= 8 km/hr
Now,
⇒updown
updown
SS
SS2
+
××
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�MUKHERJEE NAGAR �MUNIRKA �UTTAM NAGAR� DILSHAD GARDEN �ROHINI�BADARPUR BORDER
⇒)3()3(
)3)(3(2
−++
−+×
BB
BB
SS
SS
⇒ SB = 9 km/hr
(we can find it out from options also)
31. (B) B
C
A
B
A = 1.6B ...(i)
B = 0.8C ...(ii)
+60%
–20%
From (i) & (ii),
A = 1.6 B = 1.6 × 0.8C
⇒ A = 1.28C
⇒ A : C
1.28 : 1
128 : 100
32 : 25
32. (B) ATQ,
1352 = x × (1.04)2 (where x → sum)
⇒ x = 2)04.1(
1352
= 0816.1
1352
= Rs. 1250
33. (A) 33
22
yx
xyyx
−
++=
yx −
1
[ ))(()( 2233 xyyxyxyx ++−=−∴ ]
= 11
1
1819
1==
−
34. (C) Sum of first 25 natural numbers
i.e. 1 + 2 + 3 + 4 + ...... + 25
=2
2625×
= 25 × 13
⇒ Required factor = 13
35. (C)
2
2
12
+ =
2
122
2
1)2(
2
2 ××+
+
= 22
12 ++
= 2
14
36. (B) i.e. 22 + 24 + 26 + ....... + 50
= no. of terms × average
=
+×
+
−
2
50221
2
2250
= 15 × 36 = 540
37. (D) 3.276.5 −
= 9
32
99
765 − =
9
21
99
571−
= 99
231571−=
99
340= 43.3
38. (A) (0.5 × 5 + 0.25 × 0.5 + 0.5 × 4 + 0.5 × 0.75)
= 2.5 + 0.125 + 2 + 0.375
= 5
39. (D) A : B : C
1 : 2 : 3 [Average = 3
321 ++=2]
∵ Average = 600 ⇒ 2 ≅ 600
So,
A : B : C
1 : 2 : 3
300 600 900
Now,
A
B
Average
+10%300 + 30 = 330 (new value of A)
600 – 120 = 480 (new value of B)
600 + 30 = 630 (new average)
–20%
+5%
Now,
3
Cofvaluenew480330 ++= 630
⇒ new value of C (630 × 3) – (330 + 480) = 1080
⇒ Increase in C = 1080 – 900 = 180
40. (C) Weight of new person = (80 – 6 × 3) kg
= (80 – 18) kg
= 62 kg
41. (A) D – A = 3(5000 – 4000)
or, D – A = 3 × 1000 = Rs. 3000
⇒ D – 2750 = Rs. 3000
⇒ D = Rs. (3000 + 2750)
= Rs. 5750
42. (B) Required % decrease = %10010100
10×
+
= %100110
10×
= %11
19
43. (D)
S.P.
0.8 = Rs. 24x
List pricex
+20% discount
(–20%)
S.P. after 20% discount i.e. 0.8x = 24
So,
S.P. after 30% discount i.e. 0.7x = 7.08.0
24×
= Rs. 21
44. (B) Required single discount
= (1 – 0.7 × 0.8 × 0.9) × 100%
= (1 – 0.504) × 100%
= 0.496 × 100%
= 49.60%
45. (A) Let x = original number of workers
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�MUKHERJEE NAGAR �MUNIRKA �UTTAM NAGAR� DILSHAD GARDEN �ROHINI�BADARPUR BORDER
So, ATQ, 22x = 24(x – 3)
or, 22x = 24x – 72
⇒ x = 36
46. (B) The number of days taken by A, B and C tocomplete the work while working together
=
×
++
2
36
.M.C.L
24
.M.C.L
18
.M.C.L
36&24,18of.M.C.L days
=
×
++
2
36
72
24
72
18
72
72days
=
×++
2)234(
72days
= 9
272× days
= 16 days
47. (B)
16 m
20 m 20 m
12 m
In the given figure,
width of the street
= (x + y)
= 2222 12201620 −+−
= 256144 +
= 12 + 16
= 28 m
48. (B) Cost price of each marble @ 20 per rupee
= Rs. 20
1
Cost price of each marble @ 30 per rupee
= Rs. 30
1
⇒ Average cost price of each marble
= Rs. 2
30
1
20
1+
[∴ no. of marbles are equal]
= Rs. 24
1
ATQ,
Selling price of each marble @ 25 per rupee
= Rs. 25
1
⇒<< loss.P.C.P.Sin
24
1
25
1∵
So, % loss = 100.P.C
.P.C.P.S×
−
= %100
24
124
1
25
1
×−
= %100600
24)2524(×
×−
= – 4%
⇒ 4% loss
49. (B) Loss of 20% on one and gain of 20% on other.
⇒ there will be a loss
and loss % = %100
)20( 2
= 4% loss (on total C.P.)
⇒ C.P.(100%)
S.P.–4%
(96%)=12,000 ×2 = 24000
S.P. (i.e. 96%) = 24000
So, loss in transaction (i.e. 4%)
= 496
24000× = 1000
⇒ loss of Rs. 1000
50. (D)
116 – 92 = 24 Let x = profit when S.P. = 92i.e. 3 x – x = 24 So, 3 x = profit when S.P. = 116 ⇒ x = 12
⇒ When S.P. = 92, Profit = Rs. 12
So, C.P. = 92 – 12 = Rs. 80
51. (C) C.P. of each article = Rs. 73
5110= Rs. 70
S.P. of each article = Rs. 89
5607= Rs. 63
Here,
S.P. < C.P. ⇒ loss
and % loss = %100.P.C
.P.C.P.S×
−
= %10070
7063×
−
= –10%
= 10% loss
52. (D) C.P.(100%)
S.P.–5%
(95%) = Rs. 665
S.P. at 5% loss i.e. 95% of C.P. = Rs. 665
So,
SP at 12% profit i.e. 112% of C.P.
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= Rs. 11295
665×
= Rs. 784
53.(C) Less by %100
)10( 2
= i.e. less by 1%
54. (B) 32
32
−
+=
32
32
32
32
+
+×
−
+= 22
2
)3(2
)32(
−
+
= 34
3434
−
++=
1
732.147 ×+
= 7 + 6.928 = 13.928
55. (C) 10272 −+
= )2)(5(2)2()5(2 22 −++
= 2)25(2 −+
= 252 −+ = 5
56. (B) Required number + 0.01 = 1.1
⇒ Required number = 1.1 – 0.01 = 1.09
57. (B) n7
1n
2
1n
3
2n +++ = 97
or,
+++
42
6212842n = 97
⇒ n = 97
4297×
⇒ n = 42
58. (D)
h b
h s
rb
rs
Volume of small cone = 27
conebigof.vol
i.e. )h()r(3
1s
2sπ =
27
)h()r(3
1b
2bπ
or, (rs)2(h
s) =
27
)h()r( b2
b
⇒
2b b
2s s
(r ) (h )
(r ) (h ) = 27
or,111
333
××
××=
××
××
sss
bbb
hrr
hrr
or,1
3
h
h
s
b = ⇒ hs =
3
hb=
3
30= 10 cm
⇒ The required height above the base
= (30 – 10) cm
= 20 cm
59. (A) (8.5% + 6.25%) of C.P. = Rs. 590
i.e. 14.75% of C.P. = Rs. 590
So, C.P. (i.e. 100%) = Rs. 10075.14
590×
= Rs. 4000
60. (A) Let C.P. = x
So, M.P. = 25% of x
= x100
125
and S.P. = Price after discount of 12.5% on M.P.
= x100
125
100
5.87×
= x4
5
8
7× = x
32
35
So, % profit = %10032
35
×−
x
xx
= %8
75 = %
8
39
61. (C)
C.P.100
S.P. M.P.+20%+20
–4% discount
120 = 96% of MP
96% of M.P. = 120
So, M.P. (i.e. 100%) = 10096
120× = 125
62. (B)
3m
Circumference of wheel = dπ
=
×3
7
22m
⇒ Distance covered in 1 minute
= m37
2228 ××
= 264 m
So, Time taken by wheel to cover a distanceof 5.280 km (or, 5280 m)
= 264
5280minute = 20 minutes
=
s
b
s
b
h
h
r
r∵
here,
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63. (C)
B
A
CE
F
D
E
4cm
2cm2cm
3cm
2cm
1.5cm1.5cm
1.5cm
2.5cm
2.5cm
5cm
Sides are 3, 4 and 5 cm
⇒ Triangle ABC is a right angled triangle
where º90B =∠ .
Now, D, E and F are mid points of the sides AB, BC and CA respectively.
Here,
FE || AB and DF ||BC
Also, In º90F,DEF =∠∆
⇒ DEF∆ is a right angled triangle.
So, also, from mid point theorem,
FE = 2
1AB = 1.5 cm
& DF = 2
1 BC = 2 cm
So, Area of 5.122
1DEF ××=∆ =
2
3cm2
64. (C)
Externally
Internally
l
3.3 m330 m
320 m
b
2.6 m260 cm
250 cm
h
1.1 m110 cm
Volume
9438000 cm3
8000000 cm3
⇒ Internal height = 2
3
cm)250320(
cm8000000
×
= 2
2
cm80000
cm8000000
= 100 cm
⇒ thickeness of the bottom
= (110 – 100) cm
= 10 cm
= 1 dm
65. (A) 50412833228 +−+
= 25246423162242 ×+×−×+×
= 2202242822 +−+
= 26 = 6 × 1.414
= 8.484
66. (C)
11.2cm
21cmVolume of metal
= External vol. of cylindrical tube – Internal vol. of cylindrical tube
=
})(){()()( 2222inexinex rrhhrhr −π=π−π
=
−
π
22
2
2.11
2
12h
= )36.3136(217
22−××
= 22 × 3 × 4.64
= 306.24 cm3.
67. (B) 1 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 2)}]
=
+÷+÷+÷
2
1111111
=
×+÷+÷
3
211111
=
÷+÷3
5111
=
+÷
5
311
=5
81÷
=8
5
8
51 =×
68. (C) x – y = 3
x2 + y2 = 369
(y + 3)2 + y2 = 369
y2 + 6y + 9 + y2 = 369
2y2 + 6y – 360 = 0
y2 + 3y – 180 = 0
y2 + 15y – 12y – 180 = 0
(y + 15)(y – 12) = 0
y = 12, – 15
x = 15
Sum of numbers = 12 + 15 = 27
69. (B) L.C.M. for 4, 6, 10 & 15 = 60
N will be in form of N = 60n + 2
Now,
least six digit number of form 60 n
(i.e. divisible by 60)
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= 100020
So,
⇒ least six digit number of form N
= 100020 + 2
= 100022
⇒ Sum of digits of N = 1 + 0 + 0 + 0 + 2 + 2
= 5
70. (D) Given fractions are proper.
Diff. beetween N & D of every fraction = 1
∴ The fraction with greatest N or D islargest.
Ans : 8
7
71. (?) 4
3of
4
3
7
5
4
1
3
1
8
7
6
51
4
32
÷+
+×÷
= 4
3
4
3
7
5
12
7
8
7
6
114
11
×÷+×÷
= 9
16
7
5
12
7
7
8
4
6×+××
= 63
143
63
801 =+
72. (A) x = 13
13
−
+=
2
)13( 2+=
2
3213 ++= 32 +
y = 13
)13( 2
−
−=
2
3213 −+= 32 −
x2 + y2 = 22 )32()32( −++
= 14]34[2])3(2[2 22 =+=+
73. (C) H.C.F. × L.C.M. = 7 × 140
= 980
= 1st no. × 2nd no.
(between 20 & 45)
= 28 × 35
So,
Sum of the numbers = 28 + 35
= 63
74. (A) Present age of son = x yrs.
Present age of father = 3x + 3 yrs
After 3 years, son = x + 3 yrs
Father = 3x + 3 + 3
= 3x + 6 yrs
ATQ,
3x + 6 = 2(x + 3) + 10
3x + 6 = 2x + 6 + 10
3x – 2x = 10
x = 10
Father's present age = 3 × 10 + 3
= 33 yrs
75. (C) A B C Let the three co-prime numbers
ATQ, A × B = 551 and B × C = 1073
And ∵ 19 × 29 = 551 and 29 × 37 = 1073
⇒ A = 19, B = 29 and C = 37
⇒ Sum of three nos. = 19 + 29 + 37 = 85
76. (A) No. of boys = x
Constribution by each= Rs. 4
x
Total contribution = 4
xx ×
4
xx × = 400
x2 = 1600
x = 40
77. (C) 21 22 rr π−π = 132
(r1 – r
2) =
π2
132
= 222
7132
×
× = 21 m
Width of the path = (r1 – r
2) = 21 m
78. (B) Side of the rhombus = 10 m
Height = 5 m
Area = b × h = 105 = 50 sq. m.
79. (C) D. of the circle = 21 cm
Rad. = 2
21cm
Area of the biggest circle =
2
2
1
2×π
2
21
2
21
7
22×× =
4
1386 = 346.5 sq. cm
80. (?) )(2 bl
l
+=
16
5
10l + 10b = 16l
10b = 6l
b
l=
6
10 =
3
5
l : b = 5 : 3
81. (C)
Alloy 'A'
Gold : Copper5 : 3
Total (5 + 3 = 8)or, (5 × 2) + (3 × 2) = 16
Alloy 'B'
Gold : Copper5 : 11
Total (5 + 1 = 16)
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to equalise
[L.C.M. of 8 & 16 = 16 unit of each alloy]
The ratio of gold and copper in the alloy C
= 11)23(
5)25(
+×
+×=
17
15
⇒ 15 : 17
82. (C) A = B + 120 = C – 120
A = x (say)
B = x – 120
C = x + 120
A + B + C = 561
x + (x – 120) + (x + 120) = 561
3x = 561
x = 3
561= 187
B's share = 187 – 120 = 67
83. (A)
In 17 kg 500 gm of Alloy
Copper Zinc5
× 17500 gm,12500 gm, 5000 gm
× 17500 gm
: 25 2
7 7
Now,
When 1.250 kg (or 1250 gm) of zinc is
mixed in 17 kg 500 gm of alloy.
then, in the new mixed,
amount of zinc = (5000 + 1250) gm
= 6250 gm
So, In new mixture, ratio of copper & zinc
= 12500 gm : 6250 gm
= 2 : 1
84. (A)
Respective values
So, Respective no. of coins
Re 1 50 p 25 p
13 (13 × 1)
: 11 (11 × 2): 7
(7 × 4)
Total no. of coins in 1 set = 13 + 22 + 28
= 63 coins
Total no. of sets of coins = 63
378coins
= 6 set
⇒ No. of 50 paise coins = 22 × 6
= 132 coins
85. (C)
Rate of InterestS.I. after 4 years
Rs. 500 Required Sum
12%480
10%480
S.I. is same
⇒ SumquiredRe
500.Rs =
%12
%10
⇒SumquiredRe
500.Rs =
6
5
⇒ Required sum = Rs. 65
500× = Rs. 600
86. (C) Decrease in rate of interest
= 8% – 4
37 %
= 8% – 4
31% =
4
1%
Now, ATQ,
4
1% of capital = Rs. 61.50
⇒ Total capital (i.e. 100%)
= Rs. 61.50 × 4 × 100
= Rs. 24600
87. (B) Total ages of 40 students = 40 × 15
= 600 yrs
Let the average age of 10 new students = x yrs.
50
10600 x+= 15.2
600 + 10x = 15.2 × 50
600 + 10x = 760
x = 10
600760 −
= 10
160 = 16 yrs.
88. (B) T1 =
6
24= 4 hrs, T
2 =
8
24 = 3 hrs,
T3 =
12
24 = 2 hrs.
Average speed = 234
242424
++
++
= 9
72 = 8 km/h
89. (C) Let the average of 8 innings = x
Total runs = 8x
9
1008 +x= x + 9
9x + 81 = 8x + 100
x = 19
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New average = x + 9 = 19 + 9 = 28
90. (B) Radius of the shot put ball = 7 cm
Height of the cylinder = 3
7cm
Volume of the shot put = Volume of the
cylinder
373
4×π =
3
72 ××π R
R2 = π
××π7
37
3
4 3
R = 274× = 2 × 7
= 14 cm
d = 2R = 2 × 14
= 28 cm
91. (B) Let the initial area of the rectangle = xy sq. unit
New area = yx100
110
100
90×
= xy100
99 sq. unit
Change in area = xyxy100
99−
= 100
xy
% change in area = 100100 ×xy
xy
= 1%
92. (D) h = 100
251+ m =
4
5m
Total area of the wet surface
= Area of the cistern without top
= 2[lb + bh + lh] – lb
= 244
56
4
54462 −
×+×+×
= 244
305242 −
++
= 244
304292 −
+×
= 244
1462 −×
= 73 – 24
= 49 m2.
93. (D) Total no. of late arrivals of trains
= 114 + 31 + 5
= 150
94. (C) Total no. of late departures of trains
= 82 + 5 + 3
= 90
95. (C) Required % = %1001400
)531114(×
++
= %1001400
150× = 10.7%
96. (B) Required punctuality = %10014901400
14001250×
+
+
= %1002890
2650×
= 91.7%
97. (C) x – y = w + z + 6 x + y = w – z – 3
2 x = 2 w + 3
2x – 2w = 3
x – w = 2
3= 1.5
98. (A)
−
−
−
−
n
11....
4
11
3
11
2
11
n
n 1......
4
3
3
2
2
1 −×××
= n
1
99. (C) })5.2(75.8)5.3){(5.25.3( 2332333 +−+
= 3333 )5.2()5.3( +
[by using (a + b)(a2 – ab + b2) = a3 + b3]
= 3.5 + 2.5
= 6
100. (A) Total CP = CP + repairing charge
= 1200 + 200
= Rs. 1400
SP = Rs. 1680
% of profit = CP
100)14001680( ×−
= 1400
100280× = 20%
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SSC (Tier-II) - 2013 (Mock Test Paper - 1) (ANSWER SHEET)
1. (A)2. (B)3. (C)4. (D)5. (B)6. (C)7. (A)8. (D)9. (A)10. (D)11. (D)12. (C)13. (D)14. (C)15. (A)16. (C)17. (D)18. (B)19. (C)20. (B)
21. (C)22. (D)23. (C)24. (C)25. (C)26. (A)27. *28. (D)29. (A)30. (B)31. (B)32. (B)33. (A)34. (C)35. (C)36. (B)37. (D)38. (A)39. (D)40. (C)
41. (A)42. (B)43. (D)44. (B)45. (A)46. (B)47. (B)48. (B)49. (B)50. (D)51. (C)52. (D)53. (C)54. (B)55. (C)56. (B)57. (B)58. (D)59. (A)60. (A)
61. (C)62. (B)63. (C)64. (C)65. (A)66. (C)67. (B)68. (C)69. (B)70. (D)71. (*)72. (A)73. (C)74. (A)75. (C)76. (A)77. (C)78. (B)79. (C)80. (D)
81. (C)82. (C)83. (A)84. (A)85. (C)86. (C)87. (B)88. (B)89. (C)90. (B)91. (B)92. (D)93. (D)94. (C)95. (C)96. (B)97. (C)98. (A)99. (C)100. (A)