SSC CGL (27 AUG 2016)-SHIFT-1
1.
है । राम 20
A clock gains 15 minutes per day. If it is set
right at 12 noon, the time it shows at 4 AM is
15
उसे दोपहर 12
, तो
4
2.
6.64
(A)
4.20
(C)
4.02
7.
?
:
:
(B)
4.30
(D)
4.10
:
:
A home theatre set is Rs. 4950. If two
successive discounts of 20% and 15% are
given, then its selling price is
Rs. 4950
8.
20% और 15%
3.
?
(A) 3366
(B)
6633
(C) 3636
(D)
6363
If 15% of x is three times of 10% of y, then
x:y =
x का 15% , y के 10%
, तो x : y
9.
?
4.
(A) 1:2
(B)
2:1
(C) 3:2
(D)
2:3
A bookseller bought 500 text books for Rs
20,000. He wanted to sell them at a profit so
that he get 50 books free. At what profit
percent should he sell them?
500
20000
उसे 50
(A) 10
(B)
20
(C) 15
(D)
10.5
20% of a man's salary is paid as rent, 60%
are his living expenses and 10% are his
savings. If he spends remaining Rs 30 on the
education of his children, find his salary
20%
12.
होता है , 60% भाग जीवन10%
6.
30
,
(A) 300
(B)
900
(C) 3000
(D)
9000
A gun is fired at a distance of 6.64 km away
from Ram. He hears the sound 20 seconds
later. Then the speed of sound is
Vikalp Test Series Institute
(
) सुनता
?
(A) 664 m/s
(B)
664 km/h
(C) 332 m/s
(D)
332 km/h
The simple interest on Rs. 2000 for 2 years at
Rs. 75 per thousand per annum will be
Rs. 2000 पर Rs. 75
2
?
(A) 150
(B)
300
(C) 600
(D)
400
If x = 1 + √2 + √3, then the value of x 2 - 2x 4 is
x = 1 + √2 + √3 हो, तो x2 - 2x - 4 का मान
बताएं
(A) √6
(B)
2√3
(C) 3√2
(D)
2√6

a  b 2
 , then the value of (a-b) is
If
1
ab
a  b   2 हो तो (a-b)
होगा ?
1
ab
(A) 1
(B)
0
(C) -1
(D)
2
If ΔABC is an equilateral triangle of side 16
cm, then the length of altitude is
ΔABC 16 से.मी.
, तो
?
11.
?
5.
10.
.मी.
13.
(A)
2√3 cm
(B)
4√3 cm.
(C)
8√3 cm
(D)
5√3 cm.
O is the circumcentre of ΔABC. If AO = 8 cm,
then the length of BO is
ΔABC का O
AO = 8 से.मी. हो, तो
BO
?
(A) 12 cm
(B)
3 cm
(C) 6 cm
(D)
8 cm
Given that tan(θ + 15°) = √3. Then the value
of θ is?
tan(θ + 15°) = √3, तो θ का
मान बताएं ?
(A) 15°
(B)
75°
(C) 45°
(D)
65°
The least number of square tiles of side 41
cms required to pave the ceiling of a room of
size 15m 17cm long and 9m 2 cm broad is:
9415647104, 9807716674
15 मीटर 17 से.मी.
14.
9 मीटर 2 से.मी. चौड़े
41 से.मी.
?
(A) 902
(B)
656
(C) 738
(D)
814
The average of fruits offered in a temple in a
week was 75. The average of fruits offered in
six days excluding Tuesday was 72. How
many fruits were offered on Tuesday?
75 फल चढाए
गए। मंगलवार को छोड़ कर शेष 6


 is
60° है ।
,
?
20.
21.

(A) 40√3cm
(B)
40√3 cm
(C) 40√3 m
(D)
40√2 m
The radius of a sphere and hemisphere are
same. The ratio of their total surface area is
न है ।
(A) 3:1
(B)
2:1
(C) 3:2
(D)
4:3
Two equal arcs of two circles subtend angle
of 60° and 75° at the centre. The ratio of the
radii of the two circles is
,
60° और 75°
?
x
2
1
x x
6
x2/y
a2/y
 
is,,
1
x x
6
2
x
 
, एक
40
x
y
a
3
3
a
हो
then the value of
हो तो
x
y
a
3
3
,
1 3
y
x
1 3

From a point, 40 m apart from the foot of a
tower, the angle of elevation of its top is 60°.
The height of the tower is
?
93
92
a
,
1 3
y
18.


72
then
(B)
(D)
,
5
17.

1 x
x

x



,
5
If
1 x
x
बराबर होगा।
(A) y2/x
(C) a2/x
16.

3
/
1
y
3
/

1
x
a
equal to

(B)
(D)
1 3

3
/
1
y
3
/
If
1
x
15.
a
गए
(A) 90
(C) 72
19.
का मान बताइए ?
(A) 5/4
(B)
3/2
(C) 4/5
(D)
2/3
Direction : - (22-25)Study the following graph
carefully and answer the questions
: (22-25)
, और
(A) 1
(B)
2
(C) 3
(D)
4
If a > b > 0, AB = a - b cm, BC = 2√ab cm,
then ∠ABC is
a>b>0, AB = a - b से.मी., BC = 2√ab
से.मी.हो, तो ∠ABC
?
(A) 45°
(B)
60°
(C) 90°
(D)
120°
PR is a tangent to a circle with centre O and
radius 4 cm at point Q. If ∠POR = 90°, OR =
5 cm and OP = 20/3 cm, then the length of
PR is:
PR, O
Q
4 से0मी0
∠POR = 90°, OR =
5 से.मी. और OP = 20/3 से.मी. हो तो PR
?
(A)
(C)
3 cm
23/3 cm
Vikalp Test Series Institute
(B)
(D)
16/3 cm
25/3 cm
22.
Which state has the maximum percentage of
electrified villages?
?
(A) B
(B)
C
(C) D
(D)
F
9415647104, 9807716674
23.
If the Central Government desires to give aid for
speedy electrification starting from states with
least electrification, which state will get fourth
rank in order of priority?
(A)
25.
five
24.
(B)
(D)
C
B
How many States have at least 60% or more
electrified villages?
60%
गॉ ं
D
-
F
E
three
(C) four
(D)
two
Which state has twice the percentage of
villages electrified in comparison to state D?
,
(A)
(C)
(B)
?
(A)
(C)
A
F
(B)
(D)
E
C
?
1
2
3
4
5
D
A
B
A
A
6
7
8
9
10
ANSWER KEY -27 AUS SHIFT-1
C
11
D
16
B
12
C
17
D
13
D
18
B
14
B
19
C
15
A
20
A
C
D
C
D
21
22
23
24
25
HINTS & SOLUTION
1.(D)
24 घंटे मे भागे होती है =15 min
1...................................= 15/24
सुबह 4 बजे तक = 12+4= 16
16h.................... = 16 
2.(A)
S.P. = M.P.
15
 10 min
24
100  0
100
80 85
4950

S.P =
100 100
 3366
3.(B)
15
10
 3 y 
100
100
5 x  10 y
x 2

y 1
x : y  2 :1
x
Vikalp Test Series Institute
4.(A)
500CP = 20000
1 Cp = 40
p= 50  40  2000
Sp 2  2000
P% 
2000
 100  10
20000
5.(A)
Total income =100 Let
= 20%
जीवन = 60%
बचत = 10%
10%.....30Rs.
30
100........
 100  300
10
6.(C)
d=6.64km = 6640m
t=20sec
चाल =
/ समय
चाल = 6640/20= 332 m/s
9415647104, 9807716674
A
B
A
B
D
मंगलवार = 515-432=93
16.(A)
7.(B)
PRT
75
SI =
 2000 
 2  300
100
1000
1
6x
 5, 2
?
x
x 1 x
6x
6
x

1
1
5 1
x  1
x
x
8.(D)
X 1 2  3
X 1 2  3
X 2  1  2X  2  3  2 6
18.(D)
X 2  2X  4  2 6
9.(B)
a  b  2 ab
a  b  2 ab  0

a b

2
0
a b
ab
ab0
PR 2  OP 2  OR 2  400 / 9  25
PR 2  625 / 9
PR  25 / 3
10.(C)
h=
19.(C)
3
a
2
3
a
2
3
h
 16  8 3
2
h
12.(C)
tan   15º   3
tan   15º   tan 60º
  15º   60º
  45º
tan 60º  h / 40
3  h / 40
h  40 3
13.(D)
20.(D)
= 15cm+17cm
=1500cm+17cm=1517cm
चौड़ाई = 9m+2cm=900cm+2cm=902cm
1517, 902 का HCF= 41
=
०
n
902  1517
 814
41  41
14.(B)
7
6
= 757= 515
ग = 672=432
Vikalp Test Series Institute
r1  r2
4r1 : 3r2
2
2
4:3
०/एक टाइल का
21.(A)
2
2 
2
r1 : 2 r1
360
360
2
60r1 : 75r2
2
2
 r1 
75
  
 5/ 4
60
 r2 
r1 5

r2 4
9415647104, 9807716674
SC CGL (27 AUG 2016)-SHIFT-3
1.
7.
A and B can together do a piece of work in 6
days and A alone can do it in 9 days. The
number of days B will take to do it alone is
A और B
6
A अकेला उसे 9
.A man can row upstream at 12 km/hr and
downstream at 18 km/hr. The man's rowing
speed in stillwater is
12 .मी./घंटा
B
?
?
10.
11.
A का शेयर B के शेयर से आधा है । और C
5.
6.
तो उसे 10% का लाभ होता ।
(A)
(B)
400
200
(C)
(D)
164
464
There are 1400 students in a school, 25% of
those wear spectacles and 2/7 of those
wearing spectacles are boys. How many girls
in the school wear spectacles?
1400
,
25%
2/7
?
(A)
(C)
250
200
Vikalp Test Series Institute
(B)
(D)
100
300
a2+b2+3ab
(A)
115
(C)
125
The value of (ds+t÷ ds)
(ds+t÷ ds)÷ dt
(A)
d2(s+t)
(C)
0
Possible measures of three angles of a triangle are
?
(A)
(B)
33°, 42°, 115°
40°, 70°, 80°
(C)
(D)
30°, 60°, 100°
50°, 60°, 70°
BD and CE are two medians of the triangle
ABC. If EO = 7 cm, then the length of CE is
BD और CE
ABC
EO = 7
28 cm
21 cm
2
If sec +tan2 =
(A)
(C)
12.
sec 4   tan 4  is
sec2+tan2 =
13.
हो तो
होगा ?
(B)
121
(D)
127
÷ dt would be
?
(B)
1
(D)
ds-t
से.मी. हो तो CE
के शेयर से तीन गुना है । C का शे
?
(A)
(B)
49
147
(C)
(D)
294
245
A dealer sold an article at 6% loss. Had he
sold it for Rs. 64 more, he would have made a
profit of 10%. Then the cost of the article is
6%
को Rs. 64



then the value of
5 4
2
एकल छूट के बराबर है ?
(A)
(B)
48%
49%
(C)
(D)
50%
51%
Rs. 490 is divided among A, B and C such
that A's share is half that of B's and thrice
that of C's. What is C's share?
Rs.490 को A, B और C
9.


5 km/h
10 km/h
5 4
2
मीटर
?
(A)
(B)
360
260
(C)
(D)
240
180
A discount series of 15%, 20% and 25% is
equal to the single discount of?
15%, 20% और 25%
%





2
ab=21 और
10


2
4.
a2+b2+3ab is


2
3.
If ab = 21 and
(B)
(D)
2
16 मीटर और 20
8.
15 km/h
3 km/h
b b
a a
(A)
(B)
18 day
24 day
(C)
(D)
9 day
12 day
The length of the two parallel sides of a
trapezium are 16 m and 20 m respectively. If
its height is 10 m, its area in square metres is
(A)
(C)
b b
a a
2.
.मी./
18
?
14 cm
35 cm
3 , then the value of
(B)
(D)
3 हो तो sec 4   tan 4  का
?
1
(A)
(B)
1
/√3
(C)
(D)
0
√3
The greatest perfect square number of 6
digits is
6
?
(A)
(B)
999001
998001
(C)
(D)
998009
998101
9415647104, 9807716674
14.
The average height of 30 boys out of a class
of 50 is 160 cm. If the average height of the
remaining boys is 165 cm, the average
height of the whole class (in cm) is:
50
30
annum is Rs. 93. The sum (in Rs.) is:
10%
3
(
) के बीच अंतर Rs. 93
160 से.मी.
165 से.मी. है ,
15.
(से.मी. )
?
(A)
(B)
161
162
(C)
(D)
163
164
Given a - b = 2, a3- b3=26 then (a + b)2 is
a - b = 2, a3 - b3 = 26 हो तो (a + b)2 का
21.
(Rs. ) है ?
(A)
(B)
30000
30300
(C)
(D)
3000
3030
The angles of elevation of top and bottom of
a flag kept on a flagpost from 30 metres
distance, are 45o and 30o respectively.
Height of the flag is [taking √3 = 1.732]
30 मीटर
450 और 300
?
(A)
(C)
16.
9
16
(B)
(D)
4
12
If X + Y + Z = 9 then the value of (X - 4)3 + (Y 2)3 + (Z - 3)3 - 3 (X - 4) (Y - Z) (Z - 3) is
X + Y + Z = 9 हो तो (X - 4)3 + (Y - 2)3 + (Z 3)3 - 3 (X - 4) (Y - Z) (Z - 3)
17.
(A)
6
(B)
9
(C)
0
(D)
1
Three medians AD, BE and CF of ∆ABC
intersect at G; Area of ∆ABC is 36 sq cm.
Then the area of ∆CGE is
∆ABC
AD, BE और CF एक दूसरे को
G पर काटते है ,
18.
?
∆ABC
36 से.मी. हो
2
? (माना √3 = 1.732)
(A)
(B)
12 √3 mitre
15 mitre
(C)
(D)
14.32 mitre
12.68 mitre
Direction : - (22-25)Study the following bardiagram carefully and answer the questions. The
bar graph given below shows the foreign
exchange reserves of a country (in million US $)
from 1991 - 1992 to 1998 - 1999.
: (22-25)
1991
- 1992 से 1998 - 1999
(
तो ∆CGE
?
2
(A)
(B)
12 cm
6 cm2
2
(C)
(D)
9 cm
18 cm2
A chord of a circle is equal to its radius. A
tangent is drawn to the circle at an
extremity of the chord. The angle between
the tangent and the chord is
.एस. $)
?
(B)
45°
(D)
75°
 then the value of
1
θ
s
o
c
π
,
1
θ
n
i
s
π
30°
60°
is
होगा ?
 होतो






}
1

20.
22.
θ
2 3
n
a
t
3
{



1
θ
s
o
c
π
,
1
θ
n
i
s
π



}
1

θ
2 3
n
a
t
3
{
19.
(A)
(C)
If
(A)
1
(B)
√3
1
(C)
2
(D)
/√3
The difference between simple and
compound interest (compounded annually)
on a sum of money for 3 years at 10% per
Vikalp Test Series Institute
The ratio of the number of years, in which
the foreign exchange reserves are above the
average reserves, to those in which the
reserves are below the average reserves is
,
होगा
(A)
(C)
2:6
3:5
,
(B)
(D)
3:4
4:4
9415647104, 9807716674
The foreign exchange reserves in 1996-97
were approximately what percent of the
average foreign exchange reserves over the
period under review?
1996 - 1997
, औसत
23.
24.
(A)
(B)
95%
110%
(C)
(D)
115%
124%
The percentage increase in the foreign
exchange reserves in 1997-98 over 1993-94 is
1997-98
1993-94
1
2
3
4
5
A
D
B
A
A
6
7
8
9
10
25.
(A)
(B)
100
150
(C)
(D)
200
120
Ratio of the sum of foreign exchange during
the years 1991-92, 1992-93, 1993-94 to that
during the years 1995-96, 1996-97, 1997-98 is
1991-92, 1992-93, 1993-94 के फॉरे न
1995-96, 1996योग का
97, 1997-98
?
(A)
(C)
31: 35
37:52
35:31
52:37
(B)
(D)
ANSWER KEY -27 AUG SHIFT-3
A
11
C
16
C
A
12
C
17
B
B
13
B
18
A
B
14
B
19
C
D
15
C
20
C
21
22
23
24
25
D
C
D
A
C
HINTS & SOLUTION
1.(A) A और B
म = 1/6
A
= 1/9
B
= 1/6 - 1/9= 1/12
B को पूरा काम करने मे लगा समय = 12
2. (D Area of trapezium =
AB DCEC  201610 3610180
2
2
2
3. (B 15+20- 15  20
100
35-3=32%
32+25-
32  25
100
57-8= 49%
4. (A) A
B
x=2x = x/3
3x = 6x = x
3:6:1
C का शेयर = 490 
5. (A)
CP =x
x
x  64

100  6 100  10
x x  64

 x  376
94
110
100  6
94
SP  CP 
 376  CP 
100
100
CP  400
6. (A) कु
= 1400
25
= 1400 
 350
100
2
लगाने वाले लड़के = 350   100
7
= 350-100= 250
C
7. (A)
, B-R = 12.............1
, B+R = 18.................2
1
 49
10
Vikalp Test Series Institute
Eqn 1 +2
2B =30
B = 15km/h
9415647104, 9807716674
8. (B)
17. (B)
ABC =36
area of  CGE =ABC/ 6 = 36/6=6
18. (A)
OA=OB=AB
O=B=A
OAD=90º
BAD = OAD-OAB
=90-60 = 30º
ab
25

ab
4
ab 5

ab 2
7b  3a
a 7

b 3
a 2  b 2  3ab  ?
a  b 2  ab
2
 3  7   21
19. (C)
 sin   1,  cos   1
divided by
 sin  1

 cos  1
tan   1
  45º
 121
d sd t
 d t 1
ds
10. (D) 50+60+70 = 180º
11. (C)
9. (B)
CO 2

OE 1
CO : OE  2 : 1
20. (C)
CO 2 x CO


OE 1x
7
CO  14
CE  CO  OE
 14  7  21
12. (C)
sec 2   tan 2   3
sec
2
PR 2 300  R 
100 3
P * 10 2 300  10 
93 
100 3
P * 100 * 310
93 
100 * 100 * 100
P * 31
93 
1000
P  3000
CI  SI 

  tan 2  sec 2   tan 2 

 1 3  3
14. (B)
30 लड़को का औसत = 16030= 4800
20 लड़को का औसत = 16520= 3300
Total = 8100/50= 162cm
15. (C)
a-b=2, a 3  b 3  26
a  b 3  a 3  b 3  3aba  b 
8  26  3ab * 2
6ab  26  8
ab  3
a  b 2  ?
a  b 2  a 2  b 2  2ab
21. (D)
x
1

30
3
x  10 3
 10 * 1.732
 17.32
h = 30-x= 30-17.32
=12.68
22. (C)
1991 to 98 then Total = 27840
Total average = 27840/8 = 3480
Number of above the avrg/ number of below
the averg = 3/5
4  a2  b2  2 * 3
10  a 2  b 2
a  b 2  a 2  b 2  2ab
 10  2 * 3  16
Vikalp Test Series Institute
9415647104, 9807716674
SSC CGL (28 AUG 2016)-SHIFT-1
1.
6.
An eletric pump can fill a tank in 2 hours. Because of
a tank, it was taking 2
1
hours to fill the tank. The
2
(A)
(C)
7.
2.
3.
9
(B)
(D)
1
7 %
2
(A)
9000
(B)
8556.25
(C)
10000
(D)
9943.75
A certain amount of money is divided between A and
B in the ratio of 5:6. If B gets Rs. 360, the amount is
A और B के बीच 5 :6 के अनुपात मे
B
(A)
(C)
4.
?
10
1
1
11
2
2
Find the marked price if the selling price is Rs. 9250
1
and discount is 7 %
2
9250 हो और उस पर
10
थी ?
660
680
(B)
(D)
(C)
8.
9.
10.
० मे कोई
(A)
20%
(B)
25%
(C)
30%
(D)
40%
A car takes 5 hours to cover 100 kms distance at a
particular speed whereas another car takes 3 hours
to reach a paricular distance at the same speed. Find
the distance.
5 घंटे मे 100
न पर 3
(A)
40km
(C)
70km
Vikalp Test Series Institute
(B)
(D)
60km
80km
(B)
x3  3x2  3x  2
(D)
x3  2x2  3x  x2
x3  3x2  3x  7
2
a
b2
a b

  1, then the value of
is
b
a
b a
a 2 b2
a b

  1, हो तो
का मान बताइए?
b
a
b a
(A)
1
(B)
-1
(C)
0
(D)
2
The line segment AB intersects the straight line CD
at B; AB will be smallest when ABD is
AB सरल रे खा CD को B
पर काटती
है AB सबसे छोटा तब होगा जब ABD
(A)
30º
(B)
60º
(C)
90º
(D)
45º
When of the following is not true for a rhombus ?
(A)
?
All sides are congruent
(B)
Opposite sides are parallel
(C)
Diagonals are equal
(D)
Diagonals bisect each othe at right angles
The length of a rectangle is increased by 25%. To maintain
the same area, the breadth has to be decreased by
?
x3  y3  3x  3 y
If
25%
5.
(A)
6%
(B)
8%
(C)
2%
(D)
4%
Among below experssions which one can be
expressed as the differnce of two cubic expressions?
जक को दो घनीय
है ?
(A)
360
560
580
मे लौटाया जाना है ।
5
leak can drain all the water off the tank in how many
hours?
2 घंटे मे भर सकता
1
2
2
A sum of Rs1200 is lent to be paid back in 5 equal
annual instalments of Rs 264 each.The rate of
interest per annum is
1200
264
11.
र है
If sec=cosec  with 0º<,<90º, then the value of
sin(+) is
sec=cosec  और 0º<,<90º,तो sin(+) का
(A)
(C)
1
2
(B)
(D)
0
4
9415647104, 9807716674
12.
The ratio between the vertical angle and a base angle of
an isosceles triangels is 4:3. The value of any one base
angle is
17.
कोण के बीच 4:3
13.
14.
कोण का मान बताइए ?
(A)
18º
(B)
54º
(C)
72º
(D)
10º
In ABC, B=90º and BC = 3 AB. Find the
measurement of A
ABC, मेB=90º और BC = 3 AB है । कोणA का
एक A
(A)
45º
(B)
90º
(C)
30º
(D)
60º
a and b are irrational numbers such that a+b=q is a
rational number; then a-b is
a और b ऐ
एं है िजसमे a+b=q
(A)
हो तो a-b
always rational
होगा ?
(B)
sometimes rational
(C)
always irrational
(D)
18.
The height of a right circular cylinder is twice its
radius of the base. If its height be 6 times its radius
of the base, then the volume of the cylinder will be
539 cm3 more. Assuming = 22/7, the height of the
cylinder is
15
Vikalp Test Series Institute
16
1
2
40
If 9 x  2  240  9 x , then value of 8 x  is
x
x
9 x  2  240  9 x , तो 8 x  का मान बताइए।
(A)
1
(B)
-1
(C)
0
(D)
2
Two circles with centres P and Q touch each other
externally. A straight line drawn through the point
of contact intersects the circle with centre P at A and
the circle with centre Q at B. Then, which of the
following is true ?
P और Q है बाहर से एक दूसरे
बताइये।
(A)
AP=BQ
= 22/7,
15
A
none of the above
P
को काटती है और B
से 6 गुना हो तो बेलन का आयतन 539 सेमी
24
(B)
(D)
से होकर खींची जाती है , A
3
16.
30,500
B पर उसने 20% लाभ रखते
ना तो A और ना B
some times
irrational
ऊंचाई बताइए।
(A)
5cm
(B)
7cm
(C)
9cm
(D)
11cm
The average age of 40 students of a class is 16 years.
1
If the average age of 24 students is 15 years and
2
1
that of the 15 students is 16 years, then the age of
2
40the students is
40
16
25,000
र पर हु आ
(A)
B
(C)
A nor B
19.
15.
(A)
17
(B)
16
(C)
16.5
(D)
18
A contractor has got two orders A and B. On one A
he spend Rs. 25,000 and makes a bill of Rs. 30,500.
On the other B he makes a bill keeping a profit of
20% . Which of the two orders is more profitable to
him ?
A और B
1
2
21.
र
AP =2BQ
AP = 1/2 BQ
AP ║ BQ
(D)
1
If a 2  2  7, and V1 and V2 are the minimum and
a
1
the maximum values of a 3  3 , the V2-V1 is equal
a
to ?
1
1
नतम
a 2  2  7, तथा V1 व V2 a 3  3 का
a
a
V2-V1
(C)
20.
(B)
Q वाले
?
(A)
-36
(B)
36
(C)
72
(D)
-18
A 25m long ladder is rested on a wall. The foot of the
ladder is 7m away from the wall. If the end of the
ladder (resting on the wall) slides down 4m, then
how far will its foot move away?
9415647104, 9807716674
एक 25
7
भाग (
22.
) 4
आ
23.
24.
?
(A)
5m
(B)
8m
(C)
9m
(D)
10m
Instead of multiplying by 25, a student
multiplies that number by 52 and gets 324
more than correct answer. Then that number
is
को 25 से गुणा करने के
बजाय 52
र से 324
वह 54 हो जाती है । उसे 72 बनाने के
बढाना होगा ?
B
C
A
A
B
6
7
8
9
10
है , 6
ए,
तना
न काम करने के प
त 6
हो जाते है । शेष काम समा
र
है ?
(A)
(B)
15
12
(C)
(D)
25
32
If a number is decreased by 10%, it
becomes 54. To make it 72, it should be
increased by
को 10% कम कर या जाये तो
1
2
3
4
5
(B)
21%
18%
(D)
20%
200
%
9
74.12 men complete a work in 9 days. After
they have worked for 6 days, 6 more men
join them. How many days will they take to
complete the remaining
work? 12
सी काम को 9
मे पूरा करते
(A)
(C)
25.
करने मे
और शा
मना
A
A
B है
गोपाल और
राम के पास
रा
(A)
(C)
है
के बीच का अनुपात 7:17 है । य
490 हो तो कृ
2890
2330
(B)
(D)
ANSWER KEY 28 AUG SHIFT-1
C
11
A
16
D
12
B
17
C
13
D
18
C
14
A
19
C
15
B
20
2. (C)
1 घंटे मे भरा भाग = 1/2
1/2- B = 2/5
मू०
= AB = 2/5
-B = 2/5 - 1/2
B= 1/10
10
Vikalp Test Series Institute
का
समय लगेगा ?
(A)
2
(B)
3
(C)
4
(D)
5
The ratio of money with Ram and Gopal is
7:17 and with Gopal and Krishan is 7:17. If
Ram has Rs 490, Krishan has
राम और गोपाल के बीच धन का अनुपात 7:17 है और
D
B
D
C
B
के पास
तनी धन
2680
1190
21
22
23
24
25
HINTS & SOLUTION
1.(B)
ल
100  7.5
 9250
100
मू०= 10000
3. (A)
A : B = 5 :6
B
x = 60
= 6x = 360
= 11x= 660
9415647104, 9807716674
B
B
D
A
A
माना AB= AC
4. (A)
xy 

0x  y 
%
100 

25 y
0  25  y 
100
 5y
 25 
4
y  20%
5. (B)
= 100/5 = 20 km/h
A = 4x
B=C=3x
A+B+C=180º
10x= 180º
x=18º
आधार कोण =3x = 54º
13. (D)
= 203= 60 km
7. (D)
x 3  3x 2 3x  7
 x 3  3xx  1  7  1  1
 x  1  8
3
 x  1  2 3
3
8. (C)
a b
  1
b a
a 2  b 2   ab
a 2  b 2  ab  0
BC =
a3  b3  0
then
BC
3

AB
1
BC
3x 
tan A 

AB
x
a  b a 2  b 2  ab   0
a 2 b2 a3  b3


0
b
a
ab
3 AB
tan A  3
9. (C)
A  60º
15. (B)
=x
ऊंचाई = 2x
x 2  6 x  x 2  2 x  539
22
4 x 3  539
7
x 7/2
ऊंचाई = 2x = 2  7/2 =7cm
 
ABD का मान 90º होगा तब AB
ACD
11. (A)
sec   cos ec
    90º
sin      sin 90º  1
12. (B)
16. (D)
40
=
31
50 

40  16   24   15  
2
3 

 640  12  31  250 
 640  622  18 year
17. (B)
A
A पर लाभ =
Vikalp Test Series Institute
5500
 100  22%
25000
9415647104, 9807716674
18. (D)
9
9
21.(B)
x2
 240  9 x
x2
 9 x  240
9 x 81  1  240
9x  3
3 2 x  31
x  1/ 2
8 x x 
8
1
2
2
19. (C)
M है
PAM=QBM
APM=BQM
AMP=BMP
Then
APMBQM
AP║BQ
20.(B)
a2 
x  90/100 = 54
x = 60
72
%
1
7
a2
2
1
 v2
a3
3
1
 3
a
min value of a 3 
= 12
12
 100  20%
60
M 1D1  M 2 D 2
12  9  6  12  18  X
X  2days
1  
1
1


v2   a 3  3    a    3 a  
a
a
a  


v2  27  9  18
let a 
=
24. (A)
माना शेषकाम x
1

a    9
a

1
a   3
a
1
let a   3
a
max value of a 3 
समकोण PBQ
PB = 24-4 = 20 m
PQ =25
then
252-202+(x+7)2
x= 8 m
22. (B)
=x
52x-25x=324
27x = 324
x= 12
23. (D)
माना
=x
1
 v1
a3
होता है
25. (A)
राम
:
गोपाल :
7
:
17
:
17
7
7
17
................................................................
49
:
119
:
289
राम के पास धन = 49x = 490
x =10
के पास धन = 289x = 2890
3
1  
1
1


v1   a 3  3    a    3 a  
a
a
a

 


v1  27  9  18
v2  v1  18   18  36
Vikalp Test Series Institute
9415647104, 9807716674
SSC CGL (28 AUG 2016)-SHIFT-3
1.
2.
returns home with Rs. 2 only. His initial
money was
75%
,
The sum of three consecutive natural
numbers each divisible by 5, is 225. The
largest among them is
5
ओं का योग
225
कौन-सी है ?
(A)
(B)
85
75
(C)
(D)
70
80
A can do a piece of work in 18 days.
He worked at it for 12 days and B finished
the remaining work in 8 days. B alone can do
the whole work in
A
18
12
75%
75%
Rs. 2 लेकर अपने घर पहु ँ चा।
7.
?
(A)
(B)
Rs. 64
Rs. 128
(C)
(D)
Rs. 256
Rs. 512
The time taken by a train 160 m long,
running at 72 km/hr, in crossing an electric
pole is
72
.मी./
160 मी.
B ने 8
?
is

2
1 x
9
हो तो
2

2
12.

1x
9
11.
then
x
9
950
है ?
(A)
(B)
Rs. 960
Rs. 1000
(C)
(D)
Rs. 955
Rs. 945
A person loses 75% of his money in the first
bet, 75% of the remaining in the second and
75% of the remaining in the third bet and
Vikalp Test Series Institute
10.
9 sec
4 sec
2
x
9
6.
9.
(B)
(D)
,
4
5.
?
(A)
(B)
Rs.870
Rs.690
(C)
(D)
Rs.980
Rs.780
An article was sold at Rs. 950 allowing 5%
discount on the marked price. The marked
price of the article is
पर 5%
Rs.


य
आय Rs.8710 हो,

1x
9
और बचत का अनुपात 61:6
If
x
4.
है ?
(A)
(B)
Rs. 640
Rs. 648
(C)
(D)
Rs. 540
Rs. 548
A man spends a part of his monthly income
and saves the rest. The ratio of his
expenditure to the saving is 61 : 6. If his
monthly income is Rs.8710, the amount of
his monthly savings is
8.
8 sec
6 sec
1x
9
और 10%
(A)
(C)
x
3.
सकता था ?
(A)
(B)
16 day
24 day
(C)
(D)
28 day
29 day
The list price of an article is Rs. 900. It
is available at two successive discounts of
20% and 10% . The selling price of the
article is:
Rs. 900 है | यह 20%
,
4
B
का
है ?
(A)
(B)
140
142
(C)
(D)
144
146
If a = 2 , b = -3 then the value of 27 a3 54a2b + 36 ab2 - 8b3 is
a = 2 , b = -3 हो तो 27 a3 - 54a2b + 36
ab2 - 8b3
होगा ?
(A)
(B)
1562
1616
(C)
(D)
1676
1728
Possible length of the three sides of a
triangle are :-
होगी ?
(A) 2 cm, 3 cm, 6 cm (B) 3 cm, 4 cm, 5 cm
(C) 2.5 cm,3.5 cm,6 cm (D)
4 cm, 4 cm, 9 cm
AD is the Median of Δ ABC. If O is the
centroid and AO = 10 cm then OD is
AD एक Δ ABC
O
क हो और
AO = 10 से.मी. हो तो OD
होगी ?
(A)
(B)
5 cm
20 cm
(C)
(D)
10 cm
30 cm
If in a triangle ABC, Sin A = Cos B then the
value of Cos C is
ABC
Sin A = Cos B हो तोCos C
?
(A)
(C)
(B)
1
0
(D)
9415647104, 9807716674
13.
14.
∠ACB = 70° हो तो ∠AIC
?
(A)
(B)
115°
100°
(C)
(D)
110°
135°
The length of the two adjacent sides of a
rectangle inscribed in a circle are 5 cm and
12 cm respectively. Then the radius of the
circle will be
: 5
से.मी. और 12 से.मी.
होगी ?
15.
16.
होगा जहॉ 0°<θ< 90°
(A)
(B)
0
√2
(C)
(D)
2
1
The mean of 100 observations was
calculated as 40. It was found later on that
one of the observations was misread as 83
instead of 53. The correct mean is:
100
40
53 के बजाय
20.
?
(A)
5
(B)
10
(C)
20
(D)
22
The difference between compound interest
and simple interest on a certain sum of
money for 2 years at 5% per annum is Rs.
41. What is the sum of money?
5%
2
ज के बीच अंतर Rs.41 है । तो
21.
?
(A)
(B)
Rs.7200
Rs.9600
(C)
(D)
Rs.16400
Rs.8400
A man standing on the bank of river
observes that the angle subtended by a tree
on the opposite bank is 60o. When he retires
36 m from the bank, he finds that the angle
is 30o. The breadth of the river is
60° है । जब
36 मी. पीछे आता है तो वह दे खता है
1
2
a
30°
?
(A)
(B)
15 mitre
18 mitre
(C)
(D)
16 mitre
11 mitre
Direction : - (22-25)Study the bar-graph given
below which shows the % distribution of total
expenditures of a company under various expense
and answer the questions.
: (22-25)
-
a
is(a is +ve)
1
2
a
a

)
का
2
1 x
2
x
है )
(B)
2
(D)
4
है
(A)
(B)
(C)
(D)
2
1 x
2
x
,
3 x
2 x



will be
    then the value





का मान होगा ?
    हो तो


3
x
19.
 हो तो
,
3 x
If
2 x
3
x
18.
2
3
a

?(जहां a
(A)
1
(C)
3

 then value of
3
1 a

2
3
1 a
3
a
If
39.7
42.7
(B)
(D)
है ?
के
(से.मी.
है ,
(A)
(B)
6 cm
6 . 5 cm
(C)
(D)
8 cm
8 .5 cm
If sinθ x cosθ = ½ . The value of sinθ - cosθ
is where 0°< θ< 90°
sinθ x cosθ = ½ हो तो sinθ - cosθ का मान
गलती से 83
(A)
39
(C)
40.3
17.
5 से.मी.
Incentre of Δ ABC is I. ∠ABC = 90° and
∠ACB = 70°. ∠AIC is
Δ ABC
I है तथा ∠ABC = 90° और
A sphere of radius 5 cm is melted to form a
cone with base of same radius. The height
(in cm) of the cone is
Vikalp Test Series Institute
22.
The expenditures on the interest on loans is
more than the expenditures on transport by
,
?
9415647104, 9807716674
23.
24.
(A)
(B)
5%
10%
(C)
(D)
40%
30%
If the interest on loans amounted to Rs 2.45
crores, then the total amount of expenditure
on advertisement, taxes and research &
development is:
2.45 करोड़ है ,
,
है ?
(A)
(B)
5:4
8:7
(C)
(D)
9:7
13:11
If the total expenditure of the company is
Rs. 20 crores, then the ratio of expenditure
on transport to that on salary is
Rs. 20 करोड़ है , तो वाहन
25.
(A)
(B)
7 crore
4.2 crore
(C)
(D)
5.4 crore
3 crore
The ratio of the total expenditure on
infrastructure and transport to the total
expenditure on taxes and interest on loans is:
1
2
3
4
5
D
B
B
D
B
5:4
5:8
(A)
(C)
(B)
(D)
ANSWER KEY -28 AUG SHIFT-3
B
11
A
16
A
12
B
17
B
13
D
18
D
14
B
19
B
15
A
20
6
7
8
9
10
B
B
D
C
C
है ?
4:5
8:5
21
22
23
24
25
B
C
B
D
C
HINTS & SOLUTION
4.(D)
1.(D)
= x
x  x  5  x  10  225  3x  15  225
3x  15  225  3x  210
x  70
70, 75, 80 Ans
कुल आय = 61x + 6x
67x = 8710
x=130
बचत = 6  x
= 780 Rs.
5.(B)
=
= 80
2.(B) A
= 1/18
12 2


18 3
A का 12
2 1

3 3
B का 1/3भाग काम करने मे लगा समय =8
=24
कुल समय  24
3.(B)
 900 
=
80
90

 81  8
100 100
 648
Vikalp Test Series Institute
x=
950 = x
बचा 1 
B
य : बचत = 61 : 6
100  Discount 
100
(100- छूट) / 100
95
100
950  100
 x  x  1000
95
6.(B) .
= x
=
.
100  x1 100  x 2 100  x 2 
25 25 25


100 100 100
2  100  100  100
X
 128
25  25  25
.
= 128
2 x
9415647104, 9807716674
OD = x
2x = 10
x = 5 तो OD = 5
12.(B)
7.(A)
चाल =
/ समय
160  18
 8 Sec
72  5
1
x
4
8.(B)
3 से गुणा करने पर,
9x
2
1
1
2

3x 
 12   3 x    12
3x
3
x


1
2
9 x  2  2  144
9x
1
9 x 2  x 2  142
9
3
9.(D) 3a  2b 
27a3 और 8b3
समय =
अत:
तो  º  45º
तो A  B  45º
Value put करने पर
a2
अत: A  B  C  180º
45º 45º  C  180º
b  3
3  2  2   3
 6  6 3
3
 1728
10.(B)
बडा होता है ।
3  4  5,
से
4  5  3, 5  3  4
sin A  cos B
C  90º
 cos C  0
13.(D)
A  20
 I ?
B
2
90
 90 
2
 90  45
BIC  90 
 135º
14.(B)
स AC = 5 2  12 2  13cm
समकोण
AB  3
= 6.5 cm
1
तो x  45º लेने पर
2
तो x  45º रखने पर
15.(A) sin x cos x 
BC  4
AC  5
11.(A)
six  cos x
1
1

0
2
2
1
1
1
1
sin x cos x  


2
2
2 2
1 1

2 2
LHS  RHS
अत:
AD = 3x
तो AO = 10
2:1
माना AD = 2x
Vikalp Test Series Institute
16.(B)
100
100  40  4000
= 40
100  40  83  52
3969
 39.69  39.7
नया औसत =
100
9415647104, 9807716674
17.(B) a 3 
1
a
3
21.(B)
 2 यहां a = 1 लेने पर
a 1
?
a
1
a ?
a
a = 1 लेने पर
2
तो
1
?
a
1
1  2
1
18.(D)
माना BC
BC = x
D  hcot x  cot y 
a
2 3
1
2x 3

x 3    , x 2  2  ?  3 x 

x x
x
x x

3
1 2
3x   2  x  
x
x 3
करने पर
1
1
4
1
4
 2   x   x2  2  2 
2
x
x
9
x
9
1 4
1 22
x2  2   2  x2  2 
x
9
x
9
1
4
x2  2  2
x
9
x2 

1 

36  h 3 
3

 31

36  h
 3 
h 2
36 
3
36 3
h
2
h  18 3
अत:
tan 60º 
19.(C)
= 5,
=5
=?
गोले का आयतन = शंकु का आयतन
4
1
 5 5 5    5 5 h
3
3
h  20
20.(C)
र = 41
र =(
h
2
18 3
x
x  18
3
= 18
22.(C)
=
17.5  12.5
 100%  40%
12.5
23.(B)
17.5 % = 2.45 करोड़
,
ज) मूलधन / 10000
2
5 5
41 
P
10000
41  10000
 16400  P
5 5
मू. = 16400
Vikalp Test Series Institute
= 30% तो 30% 
24.(D)
2.45
 30  4.2Cr .
17.5
अनुपात  20  12.5  : 10  17.5 
= 13:11
25.(C)
वाहन पर
:
 12.5 : 20
= 5:8
9415647104, 9807716674