15 Questions

Time Left -

- Question 1 :
Find the perimeter of a rectangle whose length and breadth are 45m and 70m respectively?

- A360
- B370
- C230
- D390
**Explanation:**Perimeter=2(length+breadth)

2(45+70)=2*115=230

- Question 2 :
The area of a rectangular table is 5700sq.cm.If its breadth is 95cm,what is its length?

- A60
- B70
- C80
- D90
**Explanation:**length=Area/Breadth

Length=5700/95=60

- Question 3 :
If the side of a square is 12cm,find its area?

- A121
- B144
- C225
- D169
**Explanation:**Area=a*a

Area=12*12=144

- Question 4 :
If area of a square is 1024 sq.cm,find its side?

- A45
- B32
- C33
- D47
**Explanation:**Side=Sqr root of Area

Side= 32

- Question 5 :
If the length and breadth of a rectangle is 12m and 9m find length of its diagonal.

- A17
- B21
- C13
- D15
**Explanation:**Diagonal = √12²+9²=15

- Question 6 :
If diagonal of a square is 12cm,find its area

- A62
- B72
- C80
- D85
**Explanation:**Area=d²/2=144/2=72

- Question 7 :
The side of a square is 8cm.What is the area of a square passing through its diagonal?

- A72
- B128
- C64
- D124
**Explanation:**Area=s²*2=8²*2=128

- Question 8 :
The side of a square is 5cm.Find the percentage increase in area if side is doubled.

- A200
- B300
- C400
- D100
**Explanation:**Area of the square=s²=25

When side is doubled:side=5*2=10,therefore area=s²=100

Percent increase in area=[(100-25)/25]*100=300%

- Question 9 :
The side of a square is 6cm.Find the percentage increase in area if side is trebled?

- A600
- B700
- C800
- D900
**Explanation:**Area of the square with side 6cm=36

When side is trebled ,side=3*6=18cm

Area=324,Percentage increase in area=[(324-36)/36]*100=(288/36)*100=800%

- Question 10 :
What is the perimeter of a square whose area is twice the area of a square with perimeter 20m?

- A40
- B30
- C20
- D50
**Explanation:**When area is increased 4 times,side is doubled.

Side of given square=20/4=5cm

Side of next square=5*2=10

Perimeter=4*10=40

- Question 11 :
A rectangular plot with length 12 m and breadth 8m has a pavement of breadth 2m outside it.Find area of the pavement?

- A88
- B96
- C112
- D120
**Explanation:**(x+2a)(y+2a)-(xy)=(12+4)(8+4)-(12*8)=(16*12)-(12*8)

192-96=96

- Question 12 :
A rectangular plot with length 10m and breadth 8m has a pavement of breadth 2m inside it.Find the area of the pavement?

- A72
- B56
- C65
- D88
**Explanation:**xy- (x-2a)(y-2a)=80-[(10-4)*(8-4)]=80-24=56

- Question 13 :
The ratio between length and breadth of a rectangle is 4:3.Area is 343sqcm.Find length.

- A24
- B21
- C30
- D28
**Explanation:**Let length be 4x and breadth 3x.Area=7x*x=7x²=343 x²=49

X=7 Length=4*7=28

- Question 14 :
The cost of fencing around a rectangular playground at the rate of 10 per metre is Rs.4800.If the ratio between length and breadth is 5:3,find the breadth.

- A100
- B90
- C60
- D70
**Explanation:**Perimeter=4800/10=480

Perimeter=2(5x+3x)=480

8x=240 x=30

Breadth=3*30=90

- Question 15 :
The area of a rectangle is 800sq.cm.Perimeter is 100cm.What is the length of its diagonal?

- A20
- B35
- C30
- D40
**Explanation:**Area=lb=800,Perimeter=2(l+b)=100

l+b=50,(l+b)²=2500,l²+b²+2lb=2500,l²+b²+1600=2500

l²+b²=900,√l²+b²=30

Model Question Papers