Aptitude Questions and Answers

11

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area in m² is

a

2420

b

2480

c

2520

d

1520

correct answer c

The difference between the length and breadth is = 23 m.

i.e., (l - b) = 23-------- eq.(1)

And perimeter = 206 m.

i.e., 2(l + b) = 206

l + b = 103---------eq.(2)

By solving eq.(1) and (2), we get length(l) = 63 and breadth(b) = 40.

So, Area = ( l x b ) = (63 x 40) m² = 2520 m².

12

What will be the cost of gardening 1 meter broad boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs.10 per square meter?

a

Rs.3400

b

Rs.1700

c

Cannot be determind

d

None of these

correct answer

Perimeter of the boundary = 2(L + b) = 340

Area of the boundary = [(L + 2)(b + 2) - Lb]

= [Lb + 2L + 2b + 4 - Lb]

= 2(L + b) + 4

= 340 + 4

=344.

Cost of gardening = Rs. (344 X 10)

= Rs.3440

13

2 meters broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 sq.m. The rate of construction is Rs.50 per square meter. Find the total cost of the construction?

a

Rs.4000

b

Rs.2400

c

Rs.4800

d

Data inadequate

correct answer d

Area of the plot = Lb = 96 sq. m.

Area of pathway = [(L - 4)(b - 4) - Lb]

= [Lb - 4L - 4b +16 - Lb]