Aptitude Contest - 11

[HELP]

1. The circumference of a circle, whose area is 24.64 m2.
is :





(a) 14.64 m


(b) 16.36 m


(c) 17.60 m


(d) 18.40 m








2. Water flows through a cylindrical pipe of internal
diameter 7 cm at 2 m per second.If the pipe is always half full, thim what is
the volume of water (in litres) discharged


in 10 minutes?





(a) 2310


(b) 3850


(c) 4620


(d) 9240








3. The number of coins of radius 0.75 cm and thickness
0.2 cm to be melted to make a right circular cylinder of height 8 cm and base
radius 3 cm is :





(a) 460


(b) 500


(c) 600


(d) 640









4. Two cylindrical vessels with radii 15 cm and 10 cm and
heights 35 cm and 15 emrespectively are filled with water. If this water is
poured into a cylindrical vessel 15 cm in height, then the radius of the vessel is :





(a) 17.5 cm


(b) 18 cm


(c) 20 cm


(d) 25 cm







5. cubic
centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :'





(a) 84


(b) 90


(c) 168


(d) 336








6. What length of
solid cylinder 2 cm in diameter mush be taken to cast into a hollow cylinder of
external diameter 12 cm, 0.25 cm thick and 15 em long?





(a) 42.3215 cm


(b) 44.0123 cm


(c) 44.0625 cm


(d) 44.6023 cm








7. The area of a rhombus is 150 cm2. The length of one of
its diagonals is 10 cm. T"r.c length of the other diagonal is :






(8) 25 cm


(b) 30 cm


(c) 35 cm


(d) 40 cm











8. One of the diagonals of a rhombus is double the other
diagonal. Its area is 25 sq. cm. The sum of the diagonals is :





(a) 10 cm


(b) 12 cm


(c) 15 cm


(d) 16 cm





9. The perimeter of a rhombus is 56 m and its height is 5
m. Its area is :









(a) 64 sq. m


(b) 70 sq. m


(c) 78 sq. m


(d) 84 sq. m








10. The length of one diagonal of a rhombus is 80% of the
other diagonal. The area of the rhombus is how many times the square of the
length of the other diagonal ?





(a) 4/5


(b) 2/5


(c) 3/4


(d) 1/4

[Hemanth_2u]

1. The circumference of a circle, whose area is 24.64 m2. is :

(a) 14.64 m
(b) 16.36 m
(c) 17.60 m
(d) 18.40 m
Ans :
(c) 17.60 m
Solution: Area of circle is is 24.64 metre square = pi*r*r ( r is radius)
r = 2.8
Circumference= 2*pi*r = 2 * pi * 2.8 = 17.6 m

[sowmya571]

hello



. The circumference of a circle, whose area is 24.64 m2.
is :






(a) 14.64 m



(b) 16.36 m



(c) 17.60 m



(d) 18.40 m

[meenakshisekar]

1. The circumference of a circle, whose area is 24.64 m2. is :

(a) 14.64 m
(b) 16.36 m
(c) 17.60 m
(d) 18.40 m
radius=2.8
circumfernce=3.14*2*2.8=17.60Edited by: meenakshisekar

[pooja]

1. The circumference of a circle, whose area is 24.64 m2. is :

(a) 14.64 m
(b) 16.36 m
(c) 17.60 m
(d) 18.40 m

[meenakshisekar]

4. Two cylindrical vessels with radii 15 cm and 10 cm and heights 35 cm and 15 emrespectively are filled with water. If this water is poured into a cylindrical vessel 15 cm in height, then the radius of the vessel is :

(a) 17.5 cm
(b) 18 cm
(c) 20 cm
(d) 25 cm
volume of both=29452.428
hence r=24.999(25)

[meenakshisekar]

. The perimeter of a rhombus is 56 m and its height is 5 m. Its area is :


(a) 64 sq. m
(b) 70 sq. m
(c) 78 sq. m
(d) 84 sq. m
p=4*shence s=16
area=h*s=70

[keerthi]

3. The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is :
(a) 460
(b) 500
(c) 600
(d) 640
let the no of coins required be 'x'
x[pi*(0.75)^2*0.2] = pi*(3)^2 *8
solving we get x= 640

[keerthi]

10. The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the other diagonal ?
(a) 4/5
(b) 2/5
(c) 3/4
(d) 1/4
Area =1/2*d1*d2
given d2 = 80% (d1) = 4/5(d1)
area = 1/2 (4/5 d1^2)= 2/5 d1^2

[keerthi]

9. The perimeter of a rhombus is 56 m and its height is 5 m. Its area is :
(a) 64 sq. m
(b) 70 sq. m
(c) 78 sq. m
(d) 84 sq. m
4x=56
x=14
area = (5)(14) =70

[keerthi]

8. One of the diagonals of a rhombus is double the other diagonal. Its area is 25 sq. cm. The sum of the diagonals is :
(a) 10 cm
(b) 12 cm
(c) 15 cm
(d) 16 cm
d2= 2 (d1)
area = 1/2(d1)(d2) =1/2 (d1)(2d1) = d1^2 = 25
d1 = 5 ,d2 = 10
d1+d2=15

[keerthi]

7. The area of a rhombus is 150 cm2. The length of one of its diagonals is 10 cm. T"r.c length of the other diagonal is :

(8) 25 cm
(b) 30 cm
(c) 35 cm
(d) 40 cm
1/ 2(d1)(10) = 150
d1 = 30 cm

[keerthi]

6. What length of solid cylinder 2 cm in diameter mush be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and 15 em long?
(a) 42.3215 cm
(b) 44.0123 cm
(c) 44.0625 cm
(d) 44.6023 cm
let the length of solid cylinder be=h
volume = pi*r^2*h
pi*(1)^2*h = pi *(6^2 - 5.75^2)15
h = (36-33.06)15 = 44.0625 cm

[keerthi]

4. Two cylindrical vessels with radii 15 cm and 10 cm and heights 35 cm and 15 emrespectively are filled with water. If this water is poured into a cylindrical vessel 15 cm in height, then the radius of the vessel is :
(a) 17.5 cm
(b) 18 cm
(c) 20 cm
(d) 25 cm
Pi*(15^2)*35 + pi*(10^2 )*15 = pi*(r^2) 15
7875+1500 = 15 r^2
r^2 = 625
r=25

[keerthi]

1. The circumference of a circle, whose area is 24.64 m2. is :
(a) 14.64 m
(b) 16.36 m
(c) 17.60 m
(d) 18.40 m
pi*r^2 = 24.64
r = 2.8
2*pi*r =2*pi*2.8=17.6