SSC CGL 2018 Daily Quiz 04 – Quantitative Aptitude “Mensuration”
SSC CGL 2018 Quantitative aptitude Practice test. Daily Quiz for SSC CGL 2018 online practice set. Daily tests with questions and answers for SSC CGL exam. Topic tests for SSC online Tier-1
1. A right circular cone is exactly fitted inside a cube in such a way that the edges of the
base of the cone are touching the edge of one of the faces of the cube and the vertex is on the opposite face of the cube. If the volumes of cube is 216 cm3 , what is the
volume of the cone (approximately)?
A) 56 cm3
B) 60 cm3
C) 46 cm3
D) 50 cm3
E) None of these
2. If a square, circle and rectangle has same perimeter then which one of them has the maximum area?
A) Square
B) Circle
C) Rectangle
D) All have equal area
E) Cannot be determined
3. A cylinder has some water at height 20 cm. If a sphere of radius 6 cm is poured into it
then find the rise in height of water if the radius of cylinder is 4 cm
A) 3 cm
B) 9 cm
C) 18 cm
D) 15 cm
E) None of these
4. If the base of a pyramid is square and its side is 4√2 cm and slant height of pyramid
is 5 cm, find the volume of pyramid.
A) 48 cm3
B) 16 cm3
C) 24 cm3
D) 32 cm3
E) None of these
5. A sphere of 5 cm radius is melted and small sphere of radius 1 cm is made from it. Find
the number of sphere that can be made from it.
A) 25
B) 125
C) 50
D) 100
E) None of these
6. A person wants to make a cylindrical box which is open from the top. If the height of
that box is 10 cm and radius is 7 cm find the area of sheet which is required to make it.
A) 880 cm2
B) 1188 cm2
C) 594 cm2
D) 440 cm2
E) None of these
7. A square park has a 2 m wide cross road in middle of it. If the side of park is 100 m
then find the remaining area of the park.
A) 9650 m2
B) 9596 m2
C) 9600 m2
D) 9604 m2
8. In a right circular cone the radius of its base is 6 cm and its height is 14 cm. A cross
section is made through the mid-point of the height parallel to the base. The volume
of the lower portion is?
A) 528 cm3
B) 366 cm3
C) 498 cm3
D) 462 cm3
E) None of these
9. If radius of cone decrease by 50% and height increase by 20%. Then find the
percentage change in the volume.A) 70% decrease
B) 70% increase
C) 40% decrease
D) 40% increase
E) 20% increase
10. The parameter of a square is equal to the perimeter of a rectangle of length 14 cm and
breadth 20 cm. Find the circumference of a semicircle (approx.) whose diameter is equal to
the side of the square.
A) 32 cm
B) 22 cm
C) 30 cm
D) 27 cm
E) 19 cm
Answer
1. A
radius of cone= a/2
volume(a3)=216 , hence a=6
r= 3 cm; height of the cone= 6cm (as it is
fitted in this cube of side 6 cm, hence its
height will also be 6 cm)
Volume of cone= 1/3 π*r2 * h
=56
2. Option B
Solution: In such case the area in
descending order is: Circle> Square>
Rectangle
3. Option C
Volume of ball= volume of rising water in
the cylinder
4/3 * π*r3 = π*r2 *h
4/3*6*6*6=4*4*h
h=18 cm
4. Option D
l=slant height=5 cm ; h=height; side=4√2
cm
l² = h² + [(side*√2)/2]2
Note: The content inside bracket is the
calculation for half of the diagonal of the
square.
h= 3 cm
volume= 1/3 * Area of base * h
=1/3 * 32 * 3= 32
5. Option B
Solution: Number of sphere=Volume of
large sphere/volume of small sphere
[4/3* π *r13 ]/ [4/3* π
*r23 ]=5*5*5/1*1*1=125
6. Option C
Solution: Area required=Curved surface
area + Area of base= 2 π r h + π r2 = 594
7. Option D
Total area= 10000
road area= 2*100 + 2*100- 2*2=396
remaining area=10000-396=9604
8. Option D
Volume of cone= 1/3 π*r2 * h
Volume of lower part=volume of full conevolume
of upper cone
for full cone take r=6, h=14
for upper cone take r1=r/2=3 and h=7
volume of lower part=528-66=462
9. Option A
Volume of cone= 1/3 π*r2 * h
r=50% dec =1/2 =>2————1
2———–1(dec)
h=20% inc =1/5 =>5————-6 (inc)
2*2*5:1*1*6=10:3
(3-10)/10*100=70% dec
10. Option D
Parameter of square = 2 * (14+20) = 68cm
So side of square = 68/4 = 17 cm
So diameter of semicircle = 17 cm
So circumference of a semicircle = πr = 22/7 *
17/2 = 27 cm
