SSC CGL Tier 2 April 12, 2015 Question Paper | SSC CGL Tier II Mock Test Series 2024 PDF Download

 Page 1


        
 
 
 
 
 
1.  The principal which gives ? 1 interest per day 
at a rate of 5% simple interest per annum is 
 A. ? 5000  B. ? 7300 
 C. ? 36500  D. ? 3650 
2.  When principal=? s, rate of interest= 
2r%p.a. then a person will get after 3 years 
at compound interest  
 A. ?
100
6sr
  B. ?
??
??
?
??
100
s1
r
3
 
 C. ?
??
??
?
??
50
s1
r
3
 D. ?
??
??
?
??
100
3s 1
r
3
 
3.  The sum of money which becomes ?2420 at 
10% rate of compound interest after two 
years is 
 A. ?2000  B. ?1000 
 C. ?2500  D. ?1500 
4.  From a solid right circular cylinder of length 
4 cm and diameter 6 cm, a conical cavity of 
the same height and base is hollowed out. 
The whole surface of the remaining solid (in 
square cm.) is  
 A. 48 ?  B. 15 ? 
 C. 63 ?  D. 24 
5.  A spherical ball of radius 1 cm is dropped into 
a conical vessel of radius 3 cm and slant 
height 6 cm. The volume of water (in cm
3
), 
that can just immerse the ball, is 
 A. 
?
3
5
  B. 
?
3
 
 C. ? 3  D. 
?
3
4
 
6.  The in-radius of a triangle is 6 cm, and the 
sum of the lengths of its sides is 50 cm. The 
area of the triangle (in square cm.) 
 A. 150  B. 50  
 C. 300  D. 56  
7.  One of the angles of a right angled triangle is 
15
0
, and the hypotenuse is 1metre. The area 
of the triangle (in square cm.) is  
 A. 1220  B. 1200 
 C. 1250  D. 1215 
8.  Assume that a drop of water is spherical and 
its diameter is one-tenth of a cm. A conical 
glass has a height equal to the diameter of 
its rim. If 32000 drops of water fill the glass 
completely, then the height of the glass (in 
cm.) is  
 A. 3  B. 1  
 C. 4  D. 2 
9.  If the height of a cylinder is 4 times its 
circumference, the volume of the cylinder in 
terms of its circumference, c is  
 A. 
?
2c
3
  B. ? 4c
3
 
 C. 
?
c
3
  D. ? 2c
3
 
10.  If the ratio of the angles of a quadrilateral is 
2:7:2:7, then it is a  
 A. trapezium  B. parallelogram  
 C. square D. rhombus 
11.  If for an isosceles triangle the length of each 
equal side is ‘a’ units and that of the third 
side is ‘b’ units, then its area will be 
 A. ?
4
4b a
a
22
square units 
 B. ?
2
2a b
a
22
square units 
 C. ?
4
4a b
b
22
square units 
 D. ?
2
a 2b
b
22
square units 
12.  The outer and inner diameter of a circular 
path be 728 metre and 700 metre 
respectively. The breadth of the path is 
 A. 7 metre  B. 28 metre  
 C. 14 metre  D. 20 metre 
13.  A piece of wire when bent to form a circle will 
have a radius of 84 cm. If the wire is bent to 
form a square, the length of a side of the 
square is 
 A. 152 cm  B. 132 cm 
 C. 168 cm  D. 225 cm 
14.  If radius of a circle is increased by 5%, then 
the increase in its area is 
 A. 10.25%  B. 10% 
 C. 5.75%  D. 5% 
15.  The area of the parallelogram whose length 
is 30 cm, width is 20 cm and one diagonal is 
40 cm is 
 A. 200 15
 cm
2  B. 100 15
cm
2  
 C. 300 15
cm
2  D. 150 15
cm
2 
16.  On increasing each side of a square by 50%, 
the ratio of the area of new square formed 
and the given square will be 
 A. 9:5  B. 9:35 
 C. 9:7  D. 9:4 
17.  The area of a circle is 324 ? square cm. The 
length of its longest chord (in cm.) is 
 A. 36  B. 28 
 C. 38  D. 32 
SSC CGL 2014 TIER 2 APRIL 12, 2015  QUANTITATIVE ABILITIES QUESTION PAPER
Page 2


        
 
 
 
 
 
1.  The principal which gives ? 1 interest per day 
at a rate of 5% simple interest per annum is 
 A. ? 5000  B. ? 7300 
 C. ? 36500  D. ? 3650 
2.  When principal=? s, rate of interest= 
2r%p.a. then a person will get after 3 years 
at compound interest  
 A. ?
100
6sr
  B. ?
??
??
?
??
100
s1
r
3
 
 C. ?
??
??
?
??
50
s1
r
3
 D. ?
??
??
?
??
100
3s 1
r
3
 
3.  The sum of money which becomes ?2420 at 
10% rate of compound interest after two 
years is 
 A. ?2000  B. ?1000 
 C. ?2500  D. ?1500 
4.  From a solid right circular cylinder of length 
4 cm and diameter 6 cm, a conical cavity of 
the same height and base is hollowed out. 
The whole surface of the remaining solid (in 
square cm.) is  
 A. 48 ?  B. 15 ? 
 C. 63 ?  D. 24 
5.  A spherical ball of radius 1 cm is dropped into 
a conical vessel of radius 3 cm and slant 
height 6 cm. The volume of water (in cm
3
), 
that can just immerse the ball, is 
 A. 
?
3
5
  B. 
?
3
 
 C. ? 3  D. 
?
3
4
 
6.  The in-radius of a triangle is 6 cm, and the 
sum of the lengths of its sides is 50 cm. The 
area of the triangle (in square cm.) 
 A. 150  B. 50  
 C. 300  D. 56  
7.  One of the angles of a right angled triangle is 
15
0
, and the hypotenuse is 1metre. The area 
of the triangle (in square cm.) is  
 A. 1220  B. 1200 
 C. 1250  D. 1215 
8.  Assume that a drop of water is spherical and 
its diameter is one-tenth of a cm. A conical 
glass has a height equal to the diameter of 
its rim. If 32000 drops of water fill the glass 
completely, then the height of the glass (in 
cm.) is  
 A. 3  B. 1  
 C. 4  D. 2 
9.  If the height of a cylinder is 4 times its 
circumference, the volume of the cylinder in 
terms of its circumference, c is  
 A. 
?
2c
3
  B. ? 4c
3
 
 C. 
?
c
3
  D. ? 2c
3
 
10.  If the ratio of the angles of a quadrilateral is 
2:7:2:7, then it is a  
 A. trapezium  B. parallelogram  
 C. square D. rhombus 
11.  If for an isosceles triangle the length of each 
equal side is ‘a’ units and that of the third 
side is ‘b’ units, then its area will be 
 A. ?
4
4b a
a
22
square units 
 B. ?
2
2a b
a
22
square units 
 C. ?
4
4a b
b
22
square units 
 D. ?
2
a 2b
b
22
square units 
12.  The outer and inner diameter of a circular 
path be 728 metre and 700 metre 
respectively. The breadth of the path is 
 A. 7 metre  B. 28 metre  
 C. 14 metre  D. 20 metre 
13.  A piece of wire when bent to form a circle will 
have a radius of 84 cm. If the wire is bent to 
form a square, the length of a side of the 
square is 
 A. 152 cm  B. 132 cm 
 C. 168 cm  D. 225 cm 
14.  If radius of a circle is increased by 5%, then 
the increase in its area is 
 A. 10.25%  B. 10% 
 C. 5.75%  D. 5% 
15.  The area of the parallelogram whose length 
is 30 cm, width is 20 cm and one diagonal is 
40 cm is 
 A. 200 15
 cm
2  B. 100 15
cm
2  
 C. 300 15
cm
2  D. 150 15
cm
2 
16.  On increasing each side of a square by 50%, 
the ratio of the area of new square formed 
and the given square will be 
 A. 9:5  B. 9:35 
 C. 9:7  D. 9:4 
17.  The area of a circle is 324 ? square cm. The 
length of its longest chord (in cm.) is 
 A. 36  B. 28 
 C. 38  D. 32 
SSC CGL 2014 TIER 2 APRIL 12, 2015  QUANTITATIVE ABILITIES QUESTION PAPER
        
 
 
 
 
 
18.  The area of a rhombus is 256 square cm. and 
one of its diagonals is twice the other in 
length. The length of its larger diagonal is 
 A. 32cm  B. 16 
 C. 38cm  D. 24cm 
19. If m= ??? 5 5 5 ......... and n=
??? 5 5 5 ......... then among the following 
the relation between m and n holds is 
 A. m-n+1=0 B. m+ n-1=0 
 C. m+ n+1=0 D. m- n- 1=0 
20.  If ??
???
2x 2y 2z
3 5x 3 5y 3 5z
 = 0, the value of 
??
x y z
2 2 2
 is  
 A. 20  B. 5  
 C. 10  D. 15 
21.  The distance between 2 places R and S is 42 
km. Anita starts from R with a uniform speed 
of 4 km/h towards S and at the same time 
Romita starts from S towards R also with 
some uniform speed. They meet each other 
after 6 hours. The speed of Romita is 
 A. 18 km/hour B. 6 km/hour 
 C. 20 km/hour D. 3 km/hour 
22.  If the side of a square is ? x1
2
1
? ? units and its 
diagonal is 
?
2
3x
 units, then the length of the 
side of the square would be 
 A. 
3
4
 units  B. 
2
1
unit  
 C. 1 unit  D. 2 units 
23.  If 2s= a + b+ c, then the value of s(s-c) + 
(s-a) (s-b) is 
 A. ab  B. abc 
 C. 0  D. 
??
2
a b c
 
24.  If p + m = 6 and p
3
 + m
3
 = 72, then the 
value of pm is 
 A. 6  B. 12 
 C. 9  D. 8 
25.  When x
m 
is multiplied by x
n
 ,product is 1. The 
relation between m and n is 
 A. mn = 1  B. m=n 
 C. m+n=1  D. m= - n 
26.  The area (in square units) of the triangle 
formed by the graphs of the equations x=4, 
y=3and 3x+4y= 12;is 
 A. 24  B. 12 
 C. 6  D. 3  
27.  If 
p 2p 1 4
2p 1
2
??
? , then the value of 
p
p
1
??
??
?
??
 
is 
 A. 7  B. 2 
 C. 1  D. 10 
28.  If the ordinate and abscissa of the point (k, 
2k-1) be equal, then the value of k is 
 A. 0  B. -1  
 C. 1  D. 1/2 
29.  ABC is a triangle in which DE ll BC and AD:DB 
= 5:4. Then DE:BC is 
 A. 4:5  B. 4:9 
 C. 9:5  D. 5:9 
30.  The radii of two concentric circles are 17 cm 
and 25 cm. A straight line PQRS intersects 
the larger circle at the points the larger circle 
at the points P and S and intersects the 
smaller circle at the points Q and R. If QR = 
16 cm, then the length (in cm.)is  
 A. 41  B. 32  
 C. 33  D. 40 
31.  AB is a diameter of a circle with centre O. The 
tangents at C meets AB produced at Q. If ?
CAB = 34
0
, then measure of ? CBA is 
 A. 56
0
  B. 34
0
 
 C. 68
0
  D. 124
0
 
32.  For an equilateral triangle, the ratio of the in-
radius and the ex-radius is 
 A. 1:2  B. 1: 2 
 C. 1:3  D. 1: 3 
33.  If a and b are the lengths of the sides of a 
right triangle whose hypotenuse is 10 and 
whose area is 20, then the value of (a+b)
2
 is 
 A. 140  B. 180  
 C. 120  D. 160 
34.  The circumference of a triangle is 24 cm and 
the circumference of its in-circle is 44 cm. 
Then the area of the triangle is (taking ?
=22/7) 
 A. 56 square cm.  B. 84 square cm. 
 C. 48 square cm. D. 68 square cm. 
35.  If the length of each of two equal sides of an 
isosceles triangle is 10 cm. and the adjacent 
angle is 45
0
, then the area of triangle of the 
triangle is 
 A. 20 2 square cm.  
 B. 12 2 square cm.  
 C. 25 2 square cm. 
 D. 15 2 square cm. 
Page 3


        
 
 
 
 
 
1.  The principal which gives ? 1 interest per day 
at a rate of 5% simple interest per annum is 
 A. ? 5000  B. ? 7300 
 C. ? 36500  D. ? 3650 
2.  When principal=? s, rate of interest= 
2r%p.a. then a person will get after 3 years 
at compound interest  
 A. ?
100
6sr
  B. ?
??
??
?
??
100
s1
r
3
 
 C. ?
??
??
?
??
50
s1
r
3
 D. ?
??
??
?
??
100
3s 1
r
3
 
3.  The sum of money which becomes ?2420 at 
10% rate of compound interest after two 
years is 
 A. ?2000  B. ?1000 
 C. ?2500  D. ?1500 
4.  From a solid right circular cylinder of length 
4 cm and diameter 6 cm, a conical cavity of 
the same height and base is hollowed out. 
The whole surface of the remaining solid (in 
square cm.) is  
 A. 48 ?  B. 15 ? 
 C. 63 ?  D. 24 
5.  A spherical ball of radius 1 cm is dropped into 
a conical vessel of radius 3 cm and slant 
height 6 cm. The volume of water (in cm
3
), 
that can just immerse the ball, is 
 A. 
?
3
5
  B. 
?
3
 
 C. ? 3  D. 
?
3
4
 
6.  The in-radius of a triangle is 6 cm, and the 
sum of the lengths of its sides is 50 cm. The 
area of the triangle (in square cm.) 
 A. 150  B. 50  
 C. 300  D. 56  
7.  One of the angles of a right angled triangle is 
15
0
, and the hypotenuse is 1metre. The area 
of the triangle (in square cm.) is  
 A. 1220  B. 1200 
 C. 1250  D. 1215 
8.  Assume that a drop of water is spherical and 
its diameter is one-tenth of a cm. A conical 
glass has a height equal to the diameter of 
its rim. If 32000 drops of water fill the glass 
completely, then the height of the glass (in 
cm.) is  
 A. 3  B. 1  
 C. 4  D. 2 
9.  If the height of a cylinder is 4 times its 
circumference, the volume of the cylinder in 
terms of its circumference, c is  
 A. 
?
2c
3
  B. ? 4c
3
 
 C. 
?
c
3
  D. ? 2c
3
 
10.  If the ratio of the angles of a quadrilateral is 
2:7:2:7, then it is a  
 A. trapezium  B. parallelogram  
 C. square D. rhombus 
11.  If for an isosceles triangle the length of each 
equal side is ‘a’ units and that of the third 
side is ‘b’ units, then its area will be 
 A. ?
4
4b a
a
22
square units 
 B. ?
2
2a b
a
22
square units 
 C. ?
4
4a b
b
22
square units 
 D. ?
2
a 2b
b
22
square units 
12.  The outer and inner diameter of a circular 
path be 728 metre and 700 metre 
respectively. The breadth of the path is 
 A. 7 metre  B. 28 metre  
 C. 14 metre  D. 20 metre 
13.  A piece of wire when bent to form a circle will 
have a radius of 84 cm. If the wire is bent to 
form a square, the length of a side of the 
square is 
 A. 152 cm  B. 132 cm 
 C. 168 cm  D. 225 cm 
14.  If radius of a circle is increased by 5%, then 
the increase in its area is 
 A. 10.25%  B. 10% 
 C. 5.75%  D. 5% 
15.  The area of the parallelogram whose length 
is 30 cm, width is 20 cm and one diagonal is 
40 cm is 
 A. 200 15
 cm
2  B. 100 15
cm
2  
 C. 300 15
cm
2  D. 150 15
cm
2 
16.  On increasing each side of a square by 50%, 
the ratio of the area of new square formed 
and the given square will be 
 A. 9:5  B. 9:35 
 C. 9:7  D. 9:4 
17.  The area of a circle is 324 ? square cm. The 
length of its longest chord (in cm.) is 
 A. 36  B. 28 
 C. 38  D. 32 
SSC CGL 2014 TIER 2 APRIL 12, 2015  QUANTITATIVE ABILITIES QUESTION PAPER
        
 
 
 
 
 
18.  The area of a rhombus is 256 square cm. and 
one of its diagonals is twice the other in 
length. The length of its larger diagonal is 
 A. 32cm  B. 16 
 C. 38cm  D. 24cm 
19. If m= ??? 5 5 5 ......... and n=
??? 5 5 5 ......... then among the following 
the relation between m and n holds is 
 A. m-n+1=0 B. m+ n-1=0 
 C. m+ n+1=0 D. m- n- 1=0 
20.  If ??
???
2x 2y 2z
3 5x 3 5y 3 5z
 = 0, the value of 
??
x y z
2 2 2
 is  
 A. 20  B. 5  
 C. 10  D. 15 
21.  The distance between 2 places R and S is 42 
km. Anita starts from R with a uniform speed 
of 4 km/h towards S and at the same time 
Romita starts from S towards R also with 
some uniform speed. They meet each other 
after 6 hours. The speed of Romita is 
 A. 18 km/hour B. 6 km/hour 
 C. 20 km/hour D. 3 km/hour 
22.  If the side of a square is ? x1
2
1
? ? units and its 
diagonal is 
?
2
3x
 units, then the length of the 
side of the square would be 
 A. 
3
4
 units  B. 
2
1
unit  
 C. 1 unit  D. 2 units 
23.  If 2s= a + b+ c, then the value of s(s-c) + 
(s-a) (s-b) is 
 A. ab  B. abc 
 C. 0  D. 
??
2
a b c
 
24.  If p + m = 6 and p
3
 + m
3
 = 72, then the 
value of pm is 
 A. 6  B. 12 
 C. 9  D. 8 
25.  When x
m 
is multiplied by x
n
 ,product is 1. The 
relation between m and n is 
 A. mn = 1  B. m=n 
 C. m+n=1  D. m= - n 
26.  The area (in square units) of the triangle 
formed by the graphs of the equations x=4, 
y=3and 3x+4y= 12;is 
 A. 24  B. 12 
 C. 6  D. 3  
27.  If 
p 2p 1 4
2p 1
2
??
? , then the value of 
p
p
1
??
??
?
??
 
is 
 A. 7  B. 2 
 C. 1  D. 10 
28.  If the ordinate and abscissa of the point (k, 
2k-1) be equal, then the value of k is 
 A. 0  B. -1  
 C. 1  D. 1/2 
29.  ABC is a triangle in which DE ll BC and AD:DB 
= 5:4. Then DE:BC is 
 A. 4:5  B. 4:9 
 C. 9:5  D. 5:9 
30.  The radii of two concentric circles are 17 cm 
and 25 cm. A straight line PQRS intersects 
the larger circle at the points the larger circle 
at the points P and S and intersects the 
smaller circle at the points Q and R. If QR = 
16 cm, then the length (in cm.)is  
 A. 41  B. 32  
 C. 33  D. 40 
31.  AB is a diameter of a circle with centre O. The 
tangents at C meets AB produced at Q. If ?
CAB = 34
0
, then measure of ? CBA is 
 A. 56
0
  B. 34
0
 
 C. 68
0
  D. 124
0
 
32.  For an equilateral triangle, the ratio of the in-
radius and the ex-radius is 
 A. 1:2  B. 1: 2 
 C. 1:3  D. 1: 3 
33.  If a and b are the lengths of the sides of a 
right triangle whose hypotenuse is 10 and 
whose area is 20, then the value of (a+b)
2
 is 
 A. 140  B. 180  
 C. 120  D. 160 
34.  The circumference of a triangle is 24 cm and 
the circumference of its in-circle is 44 cm. 
Then the area of the triangle is (taking ?
=22/7) 
 A. 56 square cm.  B. 84 square cm. 
 C. 48 square cm. D. 68 square cm. 
35.  If the length of each of two equal sides of an 
isosceles triangle is 10 cm. and the adjacent 
angle is 45
0
, then the area of triangle of the 
triangle is 
 A. 20 2 square cm.  
 B. 12 2 square cm.  
 C. 25 2 square cm. 
 D. 15 2 square cm. 
        
 
 
 
 
 
36.  Let P and Q be two points on circle with 
centre O. If two tangents of the circle 
through P and Q meet at A with ? APQ =48
0
, 
then ? APQ is 
 A. 96
0
  B. 48
0
 
 C. 66
0
  D. 60
0 
37.  The length of the diagonal of rectangle with 
sides 4 m and 3 m would be 
 A. 12 m  B. 7 m 
 C. 5 m  D. 14 m 
38.  If the sides of a triangle are in the ratio, then 
the triangle is 
 A. Right triangle 
 B. Obtuse triangle 
 C. Equiangular triangle 
 D. Acute triangle 
39.  The value of satisfying is 
 A. 600  B. 300  
 C. 900  D. 450 
40.  a, b, c, are the lengths of three sides of a 
triangle ABC. If a, b, c, are related by the 
relation a2 + b2 + c2 = ab + bc + ca. then 
the value of is 
 A. 
4
3
  B. 
2
33
  
 C. 
2
3
  D. 
4
9
 
41.  If asin bcos c ? ? ? ? a, then acos bsin ? ? ? is 
equal to 
 A. a b c ? ? ?  B. a b c
2 2 2
? ? ? 
 C. a b c
2 2 2
? ? ?  D. c a b
2 2 2
? ? ? 
42.  If sin cos 2 ? ? ? ? ? ? sin(90 )
0
 
, then the 
value of cot ? is 
 A. 21 ??  B. 
3
7
1
 
 C. 21 ?  D. 21 ?? 
43.  If ? is a positive acute angle and 3(sin
2
 + 
tan
2
) = 5, then the value of 2 ? is 
 A. 
2
1
  B. 
2
1
  
 C. 
2
3
  D. 1 
44.  If xcos
2
30
0
.sin 60
0
 = 
cosec60
tan 450 .sec60
0
2 0 0
 then 
the value of x is 
 A. 
3
1
  B. 
2
1
  
 C. 
3
2
2
  D. 
2
1
  
45.  If ?? tan 2 , then the value of  
 
? ? ?
? ? ?
cosec sec
cosec sec
22
22
 is 
 A. ?
9
15
  B. ?
5
3
 
 C. 
5
3
  D. 
5
17
 
46.  If ? ? ?
12
sin( 30 )
3
0
, then the value of 
? cos
2
 is  
 A. 
4
1
  B. 
2
3
  
 C. 
4
3
  D. 
2
1
 
 47. In a right angled triangle ?PQR , PR is the 
hypotenuse of length 20 cm. ?? PRQ 30
0
 , 
the area of the triangle is 
 A. 50 3 cm
2
  
 B. cm 100 3
2
  
 C. cm 25 3
2
 
  D. cm
3
100
2
 
48.  If ?? ? 0 90
0
 and  
 ? ? ? ?? 4cos 4 3cos 3 0
2
, then the value 
of ? is 
 A. 30
0
  B. 45
0
 
 C. 90
0
  D. 60
0
 
49.  If x : y = 3 : 2, then the value of is 
 A. 5 : 1  B. 1 : 3 
 C. 1 : 5  D. 3 : 1 
50.  If 50% of x = 30% y, then x:y is 
 A. 2 : 3  B. 5 : 3 
 C. 3 : 2  D. 3 : 5 
51.  The value of 
12
1
?
+
23
1
?
+
34
1
?
+
45
1
?
+
56
1
?
+
67
1
?
+
78
1
?
+
89
1
?
 is 
 A. 2  B. 0 
 C. 4  D. 1 
Page 4


        
 
 
 
 
 
1.  The principal which gives ? 1 interest per day 
at a rate of 5% simple interest per annum is 
 A. ? 5000  B. ? 7300 
 C. ? 36500  D. ? 3650 
2.  When principal=? s, rate of interest= 
2r%p.a. then a person will get after 3 years 
at compound interest  
 A. ?
100
6sr
  B. ?
??
??
?
??
100
s1
r
3
 
 C. ?
??
??
?
??
50
s1
r
3
 D. ?
??
??
?
??
100
3s 1
r
3
 
3.  The sum of money which becomes ?2420 at 
10% rate of compound interest after two 
years is 
 A. ?2000  B. ?1000 
 C. ?2500  D. ?1500 
4.  From a solid right circular cylinder of length 
4 cm and diameter 6 cm, a conical cavity of 
the same height and base is hollowed out. 
The whole surface of the remaining solid (in 
square cm.) is  
 A. 48 ?  B. 15 ? 
 C. 63 ?  D. 24 
5.  A spherical ball of radius 1 cm is dropped into 
a conical vessel of radius 3 cm and slant 
height 6 cm. The volume of water (in cm
3
), 
that can just immerse the ball, is 
 A. 
?
3
5
  B. 
?
3
 
 C. ? 3  D. 
?
3
4
 
6.  The in-radius of a triangle is 6 cm, and the 
sum of the lengths of its sides is 50 cm. The 
area of the triangle (in square cm.) 
 A. 150  B. 50  
 C. 300  D. 56  
7.  One of the angles of a right angled triangle is 
15
0
, and the hypotenuse is 1metre. The area 
of the triangle (in square cm.) is  
 A. 1220  B. 1200 
 C. 1250  D. 1215 
8.  Assume that a drop of water is spherical and 
its diameter is one-tenth of a cm. A conical 
glass has a height equal to the diameter of 
its rim. If 32000 drops of water fill the glass 
completely, then the height of the glass (in 
cm.) is  
 A. 3  B. 1  
 C. 4  D. 2 
9.  If the height of a cylinder is 4 times its 
circumference, the volume of the cylinder in 
terms of its circumference, c is  
 A. 
?
2c
3
  B. ? 4c
3
 
 C. 
?
c
3
  D. ? 2c
3
 
10.  If the ratio of the angles of a quadrilateral is 
2:7:2:7, then it is a  
 A. trapezium  B. parallelogram  
 C. square D. rhombus 
11.  If for an isosceles triangle the length of each 
equal side is ‘a’ units and that of the third 
side is ‘b’ units, then its area will be 
 A. ?
4
4b a
a
22
square units 
 B. ?
2
2a b
a
22
square units 
 C. ?
4
4a b
b
22
square units 
 D. ?
2
a 2b
b
22
square units 
12.  The outer and inner diameter of a circular 
path be 728 metre and 700 metre 
respectively. The breadth of the path is 
 A. 7 metre  B. 28 metre  
 C. 14 metre  D. 20 metre 
13.  A piece of wire when bent to form a circle will 
have a radius of 84 cm. If the wire is bent to 
form a square, the length of a side of the 
square is 
 A. 152 cm  B. 132 cm 
 C. 168 cm  D. 225 cm 
14.  If radius of a circle is increased by 5%, then 
the increase in its area is 
 A. 10.25%  B. 10% 
 C. 5.75%  D. 5% 
15.  The area of the parallelogram whose length 
is 30 cm, width is 20 cm and one diagonal is 
40 cm is 
 A. 200 15
 cm
2  B. 100 15
cm
2  
 C. 300 15
cm
2  D. 150 15
cm
2 
16.  On increasing each side of a square by 50%, 
the ratio of the area of new square formed 
and the given square will be 
 A. 9:5  B. 9:35 
 C. 9:7  D. 9:4 
17.  The area of a circle is 324 ? square cm. The 
length of its longest chord (in cm.) is 
 A. 36  B. 28 
 C. 38  D. 32 
SSC CGL 2014 TIER 2 APRIL 12, 2015  QUANTITATIVE ABILITIES QUESTION PAPER
        
 
 
 
 
 
18.  The area of a rhombus is 256 square cm. and 
one of its diagonals is twice the other in 
length. The length of its larger diagonal is 
 A. 32cm  B. 16 
 C. 38cm  D. 24cm 
19. If m= ??? 5 5 5 ......... and n=
??? 5 5 5 ......... then among the following 
the relation between m and n holds is 
 A. m-n+1=0 B. m+ n-1=0 
 C. m+ n+1=0 D. m- n- 1=0 
20.  If ??
???
2x 2y 2z
3 5x 3 5y 3 5z
 = 0, the value of 
??
x y z
2 2 2
 is  
 A. 20  B. 5  
 C. 10  D. 15 
21.  The distance between 2 places R and S is 42 
km. Anita starts from R with a uniform speed 
of 4 km/h towards S and at the same time 
Romita starts from S towards R also with 
some uniform speed. They meet each other 
after 6 hours. The speed of Romita is 
 A. 18 km/hour B. 6 km/hour 
 C. 20 km/hour D. 3 km/hour 
22.  If the side of a square is ? x1
2
1
? ? units and its 
diagonal is 
?
2
3x
 units, then the length of the 
side of the square would be 
 A. 
3
4
 units  B. 
2
1
unit  
 C. 1 unit  D. 2 units 
23.  If 2s= a + b+ c, then the value of s(s-c) + 
(s-a) (s-b) is 
 A. ab  B. abc 
 C. 0  D. 
??
2
a b c
 
24.  If p + m = 6 and p
3
 + m
3
 = 72, then the 
value of pm is 
 A. 6  B. 12 
 C. 9  D. 8 
25.  When x
m 
is multiplied by x
n
 ,product is 1. The 
relation between m and n is 
 A. mn = 1  B. m=n 
 C. m+n=1  D. m= - n 
26.  The area (in square units) of the triangle 
formed by the graphs of the equations x=4, 
y=3and 3x+4y= 12;is 
 A. 24  B. 12 
 C. 6  D. 3  
27.  If 
p 2p 1 4
2p 1
2
??
? , then the value of 
p
p
1
??
??
?
??
 
is 
 A. 7  B. 2 
 C. 1  D. 10 
28.  If the ordinate and abscissa of the point (k, 
2k-1) be equal, then the value of k is 
 A. 0  B. -1  
 C. 1  D. 1/2 
29.  ABC is a triangle in which DE ll BC and AD:DB 
= 5:4. Then DE:BC is 
 A. 4:5  B. 4:9 
 C. 9:5  D. 5:9 
30.  The radii of two concentric circles are 17 cm 
and 25 cm. A straight line PQRS intersects 
the larger circle at the points the larger circle 
at the points P and S and intersects the 
smaller circle at the points Q and R. If QR = 
16 cm, then the length (in cm.)is  
 A. 41  B. 32  
 C. 33  D. 40 
31.  AB is a diameter of a circle with centre O. The 
tangents at C meets AB produced at Q. If ?
CAB = 34
0
, then measure of ? CBA is 
 A. 56
0
  B. 34
0
 
 C. 68
0
  D. 124
0
 
32.  For an equilateral triangle, the ratio of the in-
radius and the ex-radius is 
 A. 1:2  B. 1: 2 
 C. 1:3  D. 1: 3 
33.  If a and b are the lengths of the sides of a 
right triangle whose hypotenuse is 10 and 
whose area is 20, then the value of (a+b)
2
 is 
 A. 140  B. 180  
 C. 120  D. 160 
34.  The circumference of a triangle is 24 cm and 
the circumference of its in-circle is 44 cm. 
Then the area of the triangle is (taking ?
=22/7) 
 A. 56 square cm.  B. 84 square cm. 
 C. 48 square cm. D. 68 square cm. 
35.  If the length of each of two equal sides of an 
isosceles triangle is 10 cm. and the adjacent 
angle is 45
0
, then the area of triangle of the 
triangle is 
 A. 20 2 square cm.  
 B. 12 2 square cm.  
 C. 25 2 square cm. 
 D. 15 2 square cm. 
        
 
 
 
 
 
36.  Let P and Q be two points on circle with 
centre O. If two tangents of the circle 
through P and Q meet at A with ? APQ =48
0
, 
then ? APQ is 
 A. 96
0
  B. 48
0
 
 C. 66
0
  D. 60
0 
37.  The length of the diagonal of rectangle with 
sides 4 m and 3 m would be 
 A. 12 m  B. 7 m 
 C. 5 m  D. 14 m 
38.  If the sides of a triangle are in the ratio, then 
the triangle is 
 A. Right triangle 
 B. Obtuse triangle 
 C. Equiangular triangle 
 D. Acute triangle 
39.  The value of satisfying is 
 A. 600  B. 300  
 C. 900  D. 450 
40.  a, b, c, are the lengths of three sides of a 
triangle ABC. If a, b, c, are related by the 
relation a2 + b2 + c2 = ab + bc + ca. then 
the value of is 
 A. 
4
3
  B. 
2
33
  
 C. 
2
3
  D. 
4
9
 
41.  If asin bcos c ? ? ? ? a, then acos bsin ? ? ? is 
equal to 
 A. a b c ? ? ?  B. a b c
2 2 2
? ? ? 
 C. a b c
2 2 2
? ? ?  D. c a b
2 2 2
? ? ? 
42.  If sin cos 2 ? ? ? ? ? ? sin(90 )
0
 
, then the 
value of cot ? is 
 A. 21 ??  B. 
3
7
1
 
 C. 21 ?  D. 21 ?? 
43.  If ? is a positive acute angle and 3(sin
2
 + 
tan
2
) = 5, then the value of 2 ? is 
 A. 
2
1
  B. 
2
1
  
 C. 
2
3
  D. 1 
44.  If xcos
2
30
0
.sin 60
0
 = 
cosec60
tan 450 .sec60
0
2 0 0
 then 
the value of x is 
 A. 
3
1
  B. 
2
1
  
 C. 
3
2
2
  D. 
2
1
  
45.  If ?? tan 2 , then the value of  
 
? ? ?
? ? ?
cosec sec
cosec sec
22
22
 is 
 A. ?
9
15
  B. ?
5
3
 
 C. 
5
3
  D. 
5
17
 
46.  If ? ? ?
12
sin( 30 )
3
0
, then the value of 
? cos
2
 is  
 A. 
4
1
  B. 
2
3
  
 C. 
4
3
  D. 
2
1
 
 47. In a right angled triangle ?PQR , PR is the 
hypotenuse of length 20 cm. ?? PRQ 30
0
 , 
the area of the triangle is 
 A. 50 3 cm
2
  
 B. cm 100 3
2
  
 C. cm 25 3
2
 
  D. cm
3
100
2
 
48.  If ?? ? 0 90
0
 and  
 ? ? ? ?? 4cos 4 3cos 3 0
2
, then the value 
of ? is 
 A. 30
0
  B. 45
0
 
 C. 90
0
  D. 60
0
 
49.  If x : y = 3 : 2, then the value of is 
 A. 5 : 1  B. 1 : 3 
 C. 1 : 5  D. 3 : 1 
50.  If 50% of x = 30% y, then x:y is 
 A. 2 : 3  B. 5 : 3 
 C. 3 : 2  D. 3 : 5 
51.  The value of 
12
1
?
+
23
1
?
+
34
1
?
+
45
1
?
+
56
1
?
+
67
1
?
+
78
1
?
+
89
1
?
 is 
 A. 2  B. 0 
 C. 4  D. 1 
        
 
 
 
 
 
52.  While solving a problem, by mistake, Anita 
squared a number and then subtracted 25 
from it rather than first subtracting 25 from 
the number and then squaring it. But she got 
the right answer. What was the given 
number? 
 A. 48   
 B. 13 
 C. Cannot be determined  
 D. 38 
53.  A General of Army wants to from a square 
from 36562 armies. After arrangement, he 
found some armies left. How many armies 
were left? 
 A. 81  B. 36 
 C. 97  D. 65 
54.  The square root of 
2
23 ?
 is 
 A. 
2
( 3 1)
1
?? 
 B. 
2
( 3 2)
1
?? 
 C. None of these 
 D. 
2
( 3 1)
1
?? 
55.  The value of 72 72 72 ...... ??? 
 A. 9  B. 8 
 C. 18  D. 12 
56.  In a farm there are cows and hens. If heads 
are counted they are 180. If legs are counted 
they are 420. The number of cows in the 
farm is 
 A. 130  B. 150 
 C. 50  D. 30 
57.  The number which can be written in the farm 
of n (n+1) (in +2). Where m is a natural 
number, is 
 A. 7  B. 3 
 C. 5  D. 6 
58.  The value of (11111)
2
 is 
 A. 12344321  B. 121212121 
 C. 123454321  D. 11344311 
59.  Two workers A and B are engaged to do a 
piece of work. A working alone would take 8 
hours more to complete the work then when 
work together. If B worked alone, would take 
2
4
1
 hours more than when work together. 
The time required to finished the work 
together is 
 A. 5 hours  B. 4 hours 
 C. 8 hours  D. 6 hours 
60.  If a man earns ? 2000 for his first 50 hours 
of work in a week and is then paid one and a 
half times his regular hourly rate for any 
additional hours then the hours must he work 
to make ? 2300 in a week is 
 A. 6 hours  B. 4 hours 
 C. 7 hours  D. 5 hours 
61.  If x can finish a job in 4 hours and y can finish 
the same job in 8 hours independently, then 
they together will finish the job in 
 A. 140 minutes  B. 160 minutes 
 C. 120 minutes  D. 150 minutes 
62.  A company employed 200 workers to 
complete a certain work in 150 days. If only 
one forth of the work has been done in 50 
days, then in order to complete the whole 
work in time, the number of additional 
workers to be employed was 
 A. 100  B. 300 
 C. 600  D. 200 
63.  Z can copy 80 pages in 20 hours. Z and y 
together can copy 135 page in 27 hours. 
Then y can copy 20 pages in 
 A. 20 hours  B. 3 hours 
 C. 24 hours  D. 12 hours 
64.  x does 
4
1
 of a job In 6 days. Y completes rest 
of the job in 12 days. Then x and y could 
complete the job together in  
 A. 9 days  B. 
5
9
3
 days 
 C. 
8
8
1
 days  D. 
3
7
1
 days 
65.  Mr. x and Mr. y each bought the same 
motorcycle using a 10 % off coupon. Mr. x’s 
cashier took 10% off the rice and then added 
8.5% sales tax whereas Mr. y’s cashier first 
added the sales tax and then took 10%off 
the total price. The amount Mr. x paid is  
 A. less by ? 550 as the amount Mr. y paid  
 B. same as the amount Mr. y paid  
 C. greater by ? 85 as the amount Mr. y paid  
 D. greater by ? 850 as the amount Mr. y paid  
66.  If the person marks a product 25% above the 
cost price but allows 10% discount, then the 
percentage of profit is  
 A. 35%  B. 15% 
 C. 17.5%  D. 12.5% 
67.  The price of an antique is reduced by 20% 
and then this price is again reduced by 10%. 
The total reduction of the price is 
 A. 25%  B. 30% 
 C. 23%  D. 28% 
Page 5


        
 
 
 
 
 
1.  The principal which gives ? 1 interest per day 
at a rate of 5% simple interest per annum is 
 A. ? 5000  B. ? 7300 
 C. ? 36500  D. ? 3650 
2.  When principal=? s, rate of interest= 
2r%p.a. then a person will get after 3 years 
at compound interest  
 A. ?
100
6sr
  B. ?
??
??
?
??
100
s1
r
3
 
 C. ?
??
??
?
??
50
s1
r
3
 D. ?
??
??
?
??
100
3s 1
r
3
 
3.  The sum of money which becomes ?2420 at 
10% rate of compound interest after two 
years is 
 A. ?2000  B. ?1000 
 C. ?2500  D. ?1500 
4.  From a solid right circular cylinder of length 
4 cm and diameter 6 cm, a conical cavity of 
the same height and base is hollowed out. 
The whole surface of the remaining solid (in 
square cm.) is  
 A. 48 ?  B. 15 ? 
 C. 63 ?  D. 24 
5.  A spherical ball of radius 1 cm is dropped into 
a conical vessel of radius 3 cm and slant 
height 6 cm. The volume of water (in cm
3
), 
that can just immerse the ball, is 
 A. 
?
3
5
  B. 
?
3
 
 C. ? 3  D. 
?
3
4
 
6.  The in-radius of a triangle is 6 cm, and the 
sum of the lengths of its sides is 50 cm. The 
area of the triangle (in square cm.) 
 A. 150  B. 50  
 C. 300  D. 56  
7.  One of the angles of a right angled triangle is 
15
0
, and the hypotenuse is 1metre. The area 
of the triangle (in square cm.) is  
 A. 1220  B. 1200 
 C. 1250  D. 1215 
8.  Assume that a drop of water is spherical and 
its diameter is one-tenth of a cm. A conical 
glass has a height equal to the diameter of 
its rim. If 32000 drops of water fill the glass 
completely, then the height of the glass (in 
cm.) is  
 A. 3  B. 1  
 C. 4  D. 2 
9.  If the height of a cylinder is 4 times its 
circumference, the volume of the cylinder in 
terms of its circumference, c is  
 A. 
?
2c
3
  B. ? 4c
3
 
 C. 
?
c
3
  D. ? 2c
3
 
10.  If the ratio of the angles of a quadrilateral is 
2:7:2:7, then it is a  
 A. trapezium  B. parallelogram  
 C. square D. rhombus 
11.  If for an isosceles triangle the length of each 
equal side is ‘a’ units and that of the third 
side is ‘b’ units, then its area will be 
 A. ?
4
4b a
a
22
square units 
 B. ?
2
2a b
a
22
square units 
 C. ?
4
4a b
b
22
square units 
 D. ?
2
a 2b
b
22
square units 
12.  The outer and inner diameter of a circular 
path be 728 metre and 700 metre 
respectively. The breadth of the path is 
 A. 7 metre  B. 28 metre  
 C. 14 metre  D. 20 metre 
13.  A piece of wire when bent to form a circle will 
have a radius of 84 cm. If the wire is bent to 
form a square, the length of a side of the 
square is 
 A. 152 cm  B. 132 cm 
 C. 168 cm  D. 225 cm 
14.  If radius of a circle is increased by 5%, then 
the increase in its area is 
 A. 10.25%  B. 10% 
 C. 5.75%  D. 5% 
15.  The area of the parallelogram whose length 
is 30 cm, width is 20 cm and one diagonal is 
40 cm is 
 A. 200 15
 cm
2  B. 100 15
cm
2  
 C. 300 15
cm
2  D. 150 15
cm
2 
16.  On increasing each side of a square by 50%, 
the ratio of the area of new square formed 
and the given square will be 
 A. 9:5  B. 9:35 
 C. 9:7  D. 9:4 
17.  The area of a circle is 324 ? square cm. The 
length of its longest chord (in cm.) is 
 A. 36  B. 28 
 C. 38  D. 32 
SSC CGL 2014 TIER 2 APRIL 12, 2015  QUANTITATIVE ABILITIES QUESTION PAPER
        
 
 
 
 
 
18.  The area of a rhombus is 256 square cm. and 
one of its diagonals is twice the other in 
length. The length of its larger diagonal is 
 A. 32cm  B. 16 
 C. 38cm  D. 24cm 
19. If m= ??? 5 5 5 ......... and n=
??? 5 5 5 ......... then among the following 
the relation between m and n holds is 
 A. m-n+1=0 B. m+ n-1=0 
 C. m+ n+1=0 D. m- n- 1=0 
20.  If ??
???
2x 2y 2z
3 5x 3 5y 3 5z
 = 0, the value of 
??
x y z
2 2 2
 is  
 A. 20  B. 5  
 C. 10  D. 15 
21.  The distance between 2 places R and S is 42 
km. Anita starts from R with a uniform speed 
of 4 km/h towards S and at the same time 
Romita starts from S towards R also with 
some uniform speed. They meet each other 
after 6 hours. The speed of Romita is 
 A. 18 km/hour B. 6 km/hour 
 C. 20 km/hour D. 3 km/hour 
22.  If the side of a square is ? x1
2
1
? ? units and its 
diagonal is 
?
2
3x
 units, then the length of the 
side of the square would be 
 A. 
3
4
 units  B. 
2
1
unit  
 C. 1 unit  D. 2 units 
23.  If 2s= a + b+ c, then the value of s(s-c) + 
(s-a) (s-b) is 
 A. ab  B. abc 
 C. 0  D. 
??
2
a b c
 
24.  If p + m = 6 and p
3
 + m
3
 = 72, then the 
value of pm is 
 A. 6  B. 12 
 C. 9  D. 8 
25.  When x
m 
is multiplied by x
n
 ,product is 1. The 
relation between m and n is 
 A. mn = 1  B. m=n 
 C. m+n=1  D. m= - n 
26.  The area (in square units) of the triangle 
formed by the graphs of the equations x=4, 
y=3and 3x+4y= 12;is 
 A. 24  B. 12 
 C. 6  D. 3  
27.  If 
p 2p 1 4
2p 1
2
??
? , then the value of 
p
p
1
??
??
?
??
 
is 
 A. 7  B. 2 
 C. 1  D. 10 
28.  If the ordinate and abscissa of the point (k, 
2k-1) be equal, then the value of k is 
 A. 0  B. -1  
 C. 1  D. 1/2 
29.  ABC is a triangle in which DE ll BC and AD:DB 
= 5:4. Then DE:BC is 
 A. 4:5  B. 4:9 
 C. 9:5  D. 5:9 
30.  The radii of two concentric circles are 17 cm 
and 25 cm. A straight line PQRS intersects 
the larger circle at the points the larger circle 
at the points P and S and intersects the 
smaller circle at the points Q and R. If QR = 
16 cm, then the length (in cm.)is  
 A. 41  B. 32  
 C. 33  D. 40 
31.  AB is a diameter of a circle with centre O. The 
tangents at C meets AB produced at Q. If ?
CAB = 34
0
, then measure of ? CBA is 
 A. 56
0
  B. 34
0
 
 C. 68
0
  D. 124
0
 
32.  For an equilateral triangle, the ratio of the in-
radius and the ex-radius is 
 A. 1:2  B. 1: 2 
 C. 1:3  D. 1: 3 
33.  If a and b are the lengths of the sides of a 
right triangle whose hypotenuse is 10 and 
whose area is 20, then the value of (a+b)
2
 is 
 A. 140  B. 180  
 C. 120  D. 160 
34.  The circumference of a triangle is 24 cm and 
the circumference of its in-circle is 44 cm. 
Then the area of the triangle is (taking ?
=22/7) 
 A. 56 square cm.  B. 84 square cm. 
 C. 48 square cm. D. 68 square cm. 
35.  If the length of each of two equal sides of an 
isosceles triangle is 10 cm. and the adjacent 
angle is 45
0
, then the area of triangle of the 
triangle is 
 A. 20 2 square cm.  
 B. 12 2 square cm.  
 C. 25 2 square cm. 
 D. 15 2 square cm. 
        
 
 
 
 
 
36.  Let P and Q be two points on circle with 
centre O. If two tangents of the circle 
through P and Q meet at A with ? APQ =48
0
, 
then ? APQ is 
 A. 96
0
  B. 48
0
 
 C. 66
0
  D. 60
0 
37.  The length of the diagonal of rectangle with 
sides 4 m and 3 m would be 
 A. 12 m  B. 7 m 
 C. 5 m  D. 14 m 
38.  If the sides of a triangle are in the ratio, then 
the triangle is 
 A. Right triangle 
 B. Obtuse triangle 
 C. Equiangular triangle 
 D. Acute triangle 
39.  The value of satisfying is 
 A. 600  B. 300  
 C. 900  D. 450 
40.  a, b, c, are the lengths of three sides of a 
triangle ABC. If a, b, c, are related by the 
relation a2 + b2 + c2 = ab + bc + ca. then 
the value of is 
 A. 
4
3
  B. 
2
33
  
 C. 
2
3
  D. 
4
9
 
41.  If asin bcos c ? ? ? ? a, then acos bsin ? ? ? is 
equal to 
 A. a b c ? ? ?  B. a b c
2 2 2
? ? ? 
 C. a b c
2 2 2
? ? ?  D. c a b
2 2 2
? ? ? 
42.  If sin cos 2 ? ? ? ? ? ? sin(90 )
0
 
, then the 
value of cot ? is 
 A. 21 ??  B. 
3
7
1
 
 C. 21 ?  D. 21 ?? 
43.  If ? is a positive acute angle and 3(sin
2
 + 
tan
2
) = 5, then the value of 2 ? is 
 A. 
2
1
  B. 
2
1
  
 C. 
2
3
  D. 1 
44.  If xcos
2
30
0
.sin 60
0
 = 
cosec60
tan 450 .sec60
0
2 0 0
 then 
the value of x is 
 A. 
3
1
  B. 
2
1
  
 C. 
3
2
2
  D. 
2
1
  
45.  If ?? tan 2 , then the value of  
 
? ? ?
? ? ?
cosec sec
cosec sec
22
22
 is 
 A. ?
9
15
  B. ?
5
3
 
 C. 
5
3
  D. 
5
17
 
46.  If ? ? ?
12
sin( 30 )
3
0
, then the value of 
? cos
2
 is  
 A. 
4
1
  B. 
2
3
  
 C. 
4
3
  D. 
2
1
 
 47. In a right angled triangle ?PQR , PR is the 
hypotenuse of length 20 cm. ?? PRQ 30
0
 , 
the area of the triangle is 
 A. 50 3 cm
2
  
 B. cm 100 3
2
  
 C. cm 25 3
2
 
  D. cm
3
100
2
 
48.  If ?? ? 0 90
0
 and  
 ? ? ? ?? 4cos 4 3cos 3 0
2
, then the value 
of ? is 
 A. 30
0
  B. 45
0
 
 C. 90
0
  D. 60
0
 
49.  If x : y = 3 : 2, then the value of is 
 A. 5 : 1  B. 1 : 3 
 C. 1 : 5  D. 3 : 1 
50.  If 50% of x = 30% y, then x:y is 
 A. 2 : 3  B. 5 : 3 
 C. 3 : 2  D. 3 : 5 
51.  The value of 
12
1
?
+
23
1
?
+
34
1
?
+
45
1
?
+
56
1
?
+
67
1
?
+
78
1
?
+
89
1
?
 is 
 A. 2  B. 0 
 C. 4  D. 1 
        
 
 
 
 
 
52.  While solving a problem, by mistake, Anita 
squared a number and then subtracted 25 
from it rather than first subtracting 25 from 
the number and then squaring it. But she got 
the right answer. What was the given 
number? 
 A. 48   
 B. 13 
 C. Cannot be determined  
 D. 38 
53.  A General of Army wants to from a square 
from 36562 armies. After arrangement, he 
found some armies left. How many armies 
were left? 
 A. 81  B. 36 
 C. 97  D. 65 
54.  The square root of 
2
23 ?
 is 
 A. 
2
( 3 1)
1
?? 
 B. 
2
( 3 2)
1
?? 
 C. None of these 
 D. 
2
( 3 1)
1
?? 
55.  The value of 72 72 72 ...... ??? 
 A. 9  B. 8 
 C. 18  D. 12 
56.  In a farm there are cows and hens. If heads 
are counted they are 180. If legs are counted 
they are 420. The number of cows in the 
farm is 
 A. 130  B. 150 
 C. 50  D. 30 
57.  The number which can be written in the farm 
of n (n+1) (in +2). Where m is a natural 
number, is 
 A. 7  B. 3 
 C. 5  D. 6 
58.  The value of (11111)
2
 is 
 A. 12344321  B. 121212121 
 C. 123454321  D. 11344311 
59.  Two workers A and B are engaged to do a 
piece of work. A working alone would take 8 
hours more to complete the work then when 
work together. If B worked alone, would take 
2
4
1
 hours more than when work together. 
The time required to finished the work 
together is 
 A. 5 hours  B. 4 hours 
 C. 8 hours  D. 6 hours 
60.  If a man earns ? 2000 for his first 50 hours 
of work in a week and is then paid one and a 
half times his regular hourly rate for any 
additional hours then the hours must he work 
to make ? 2300 in a week is 
 A. 6 hours  B. 4 hours 
 C. 7 hours  D. 5 hours 
61.  If x can finish a job in 4 hours and y can finish 
the same job in 8 hours independently, then 
they together will finish the job in 
 A. 140 minutes  B. 160 minutes 
 C. 120 minutes  D. 150 minutes 
62.  A company employed 200 workers to 
complete a certain work in 150 days. If only 
one forth of the work has been done in 50 
days, then in order to complete the whole 
work in time, the number of additional 
workers to be employed was 
 A. 100  B. 300 
 C. 600  D. 200 
63.  Z can copy 80 pages in 20 hours. Z and y 
together can copy 135 page in 27 hours. 
Then y can copy 20 pages in 
 A. 20 hours  B. 3 hours 
 C. 24 hours  D. 12 hours 
64.  x does 
4
1
 of a job In 6 days. Y completes rest 
of the job in 12 days. Then x and y could 
complete the job together in  
 A. 9 days  B. 
5
9
3
 days 
 C. 
8
8
1
 days  D. 
3
7
1
 days 
65.  Mr. x and Mr. y each bought the same 
motorcycle using a 10 % off coupon. Mr. x’s 
cashier took 10% off the rice and then added 
8.5% sales tax whereas Mr. y’s cashier first 
added the sales tax and then took 10%off 
the total price. The amount Mr. x paid is  
 A. less by ? 550 as the amount Mr. y paid  
 B. same as the amount Mr. y paid  
 C. greater by ? 85 as the amount Mr. y paid  
 D. greater by ? 850 as the amount Mr. y paid  
66.  If the person marks a product 25% above the 
cost price but allows 10% discount, then the 
percentage of profit is  
 A. 35%  B. 15% 
 C. 17.5%  D. 12.5% 
67.  The price of an antique is reduced by 20% 
and then this price is again reduced by 10%. 
The total reduction of the price is 
 A. 25%  B. 30% 
 C. 23%  D. 28% 
        
 
 
 
 
 
68.  A builder purchases 5 windows at 25% off 
the total price of ? 1,20,000. If the builder 
receives an additional discount of ? 7500 for 
the purchase, then the cost of each window 
is  
 A. ? 3300  B. ? 3100 
 C. ?3400  D. ? 3200  
69. ?? If A B B C
23
: : , :
11
  
 
??
is equal to
Then
53
: (A B):(B C)
11
 
 A. 5:8  B. 9:10 
 C. 15:16  D. 6:15 
70.  If a partnership business, B’s capital was half 
of A’s. If after 8 months, B withdrew half of 
his capital and after 2 months More A 
withdrew 
4
1
th of his capital, then the profit 
ratio of A and B will be 
 A. 5:2  B. 10:23 
 C. 2:5  D. 23:10 
71.  A school group charters three identical buses 
and occupies 
5
4
 of the seats. After 
4
1
Of the 
passengers leave, the re-mining Passengers 
use only two of the buses. The fraction of the 
seats on the two buses that are now occupied 
is  
 A. 
9
8
  B. 
10
7
 
 C. 
9
7
  D. 
10
9
 
72.  A and B invest in the ratio 3 : 5. After 6 
months, C joins the business investing an 
amount equal to B’s. At the end of the year 
what will be the ratio of their profits? 
 A. 6 : 10 : 5  B. 3 : 5 : 2 
 C. 8 : 10 : 5  D. 3 : 5 : 5 
73.  In a library the ratio of story books and other 
books is 7 : 2 and there are 1512 story 
books, Due the collection of some more story 
books the said ratio becomes 15 : 4. The 
number of story books collected is 
 A. 108  B. 100 
 C. 205  D. 97 
74.  If the product of two positive numbers is 7 : 
9, then the greater number is 
 A. 45  B. 35 
 C. 135  D. 63 
75.  The average weight of first 11 persons 
among 12 persons is 95 kg. The weight of 12 
th person is 33 kg more than the average 
weight of all the 12 persons. The weight of 
the 12
th
 person is 
 A. 128.75 kg  B. 128 kg 
 C. 131 kg  D. 97.45 kg 
76.  The average of the largest and smallest 3 
digit numbers formed by 0, 2 and 4 would be 
 A. 312  B. 213 
 C. 222  D. 303 
77.  The average of six numbers is 3.95. The 
average of two of them is 3.4, while the 
average of the other two is 3.85. the average 
of the remaining two numbers is  
 A. 4.6  B. 4.5 
 C. 4.8  D. 4.7 
78.  If the average of eight consecutive even 
numbers be 93, then the greatest number 
among them is 
 A. 100  B. 86 
 C. 102  D. 98 
79.  If the arithmetic mean of 3a and 4b is greater 
than 50, and a is twice b, then the smallest 
possible integer value of a is 
 A. 20  B. 18 
 C. 21  D. 19 
80.  The average (arithmetic mean) of 330, 360 
and 390 is 
 A. 327 + 357 + 387 
 B. 360 
 C. 329 + 359 + 389 
 D. 3177 
81.  Pooja wants to sell a watch at a profit of 
20%. She bought it at 10% less and sold it 
at Rs. 30 less, but still she gained 20%. The 
cost price of watch is 
 A. Rs. 240  B. Rs. 220 
 C. Rs. 250  D. Rs. 225 
82.  A shopkeeper sold his goods at half the list 
price and thus lost 20%. If he had sold on 
the listed price, his gain percentage would be 
 A. 60% B. 20% 
 C. 72% D. 35% 
83.  Two types of tea costing Rs. 180 per kg and 
rs. 280 per kg should be mixed in the ratio 
so that the mixture obtained, sold at Rs. 320 
kg to earn a profit of Rs. 320 per kg to earn 
a profit of 20% is 
 A. 3 : 13  B. 1 : 13 
 C. 4 : 13  D. 2 : 13 
84.  A profit of 12% is made when a mobie phone 
is sold at Rs. P and there is 4% loss when the 
phone is sold at Rs. Q. Then Q : P is 
 A. 1 : 1  B. 4 : 5 
 C. 6 : 7  D. 3 : 1