If the length of a rectangular field is increased by 15% and breadth is also increased by 10%, the area of the rectangle will be 253 m^2. What is the area of the original area of rectangle ?
400
240
350
180
200
Option E let original area of rectangle =100 percentage change in area=15+10+15*10/100=26.5 126.5=253 original area=253/126.5*100=200 m^2
The side of square is 25% more than the length of rectangular and perimeter of square is 80cm. Ratio of length and breadth of rectangular is 4:3, then find the area of rectangular.
192
215
180
220
240
Option A let the length of rectangular=4x side of square=5x perimeter of square=5x*4=20x 20x=80 x=4 length of rectangular=4*4=16 ratio of length and breadth=4:3 breadth=16/4*3=12 area of rectangular=16*12=192 cm^2
The area of square 50m^2 less than the area of a rectangular, whose breadth is 12m. If the perimeter of a square is 40m, then find the perimeter of a rectangular.
50
49
60
65
70
Option B perimeter of square=40 side of square=40/4=10m area of square=10^2=100 area of rectangular=100+50=150m^2 breadth=12m length=150/12=12.5m perimeter=2(12.5+12)=49
The area of the square is in the ratio of 1444:1296. What will be the ratio of their perimeter ?
20:21
19:18
22:25
23:24
18:19
Option B The ratio of area= 1444:1296 a^2:b^2=38:36=19:18 ratio of their perimeter=19*4:18*4=19:18
The side of square is 5cm more than the radius of a circle. The area of the circle is 154cm^2. What is the perimeter of the square ?
44
64
56
48
52
Option D area of the circle=154cm^2 πr^2=154 r^2=49 r=7 side of square=7+5=12cm perimeter of square=12*4=48cm
The length of rectangular is 18cm which is 4cm more than diameter of a circle. What is the area of the circle ?
154
240
150
176
198
Option A diameter of circle=18-4=14 2r=14 r=7 area of the circle=Ï€r^2=22/7*7*7=154cm^2
There is a rectangular field of 40cm in length and 30cm in breadth. On the inside of which a 5cm wide road, then find the area of road.
800
500
700
600
1000
Option D area of the outside rectangular field=40*30=1200cm^2 length of inside rectangular=40-10=30 breadth of the inside rectangular=30-10=20 area of the inside rectangular=30*20=600 the area of the road=1200-600=600cm^2
The height and radius of a cylinder is 21cm and 12cm respectively. Find the volume of cone.
4268
3168
4360
4530
4840
Option B height of the cylinder=21cm radius of the cylinder=12cm volume of the cylinder=22/7*12*12*21=22*144*3 volume of the cone=1/3*volume of cylinder =1/3*22*144*3=3168cm^2
The ratio of the length of the diagonals of a rhombus is 4:3. If the perimeter of the rhombus is 160m. What is the length of the diagonal of a square whose area is same as that of rhombus ?
15√3
16√3
20√2
25√5
24√2
Option B let the diagonals of the rhombus be 4x and 3x side length of the rhombus=√(4x)^2+(3x)^2 =√16x^2+9x^2 =25x^2=5x perimeter=4*5x=20x=160 20x=160 x=8 two diagonal of the rhombus=32 and 24 area=1/2*32*24=384 let the diagonal of the square=D side of the square=D/√2 (D/√2)^2=384 D^2/2=384 D=16√3
The circumference of the circle is 176cm and the radius of circle is 4 less than side of the square. Find the area of the square.
576
1000
784
1024
1444
Option D 2Ï€r=176 r=176*7/44=28 side of square=28+4=32 area of square=32*32=1024
