 # Measurements ( 6 to 10 )

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Measurements ( 6 to 10 ):

# APTITUDE QUESTIONS (MEASUREMENTS):

6. The length of a rectangular plot is twice its breadth. If the area of the rectangular plot is 288 sq m, then what is the breadth of the rectangular plot?

A)    12 m

B)    17 m

C)    14 m

D)    11 m

E)    None of these

Explanation:

Let the breadth of the plot be x m.

Length of the plot = 2 x m

(2x) (x) = 288

2x2 = 288

x2 = 144 = 122(x>0)

x = 12 m.

7. The length of parallel sides of a trapezium is 1.5m and 2.5m respectively and perpendicular distance between parallel lines is 6.5m. What is the area of this trapezium?

A)    14m2

B)    13m2

C)    15m2

D)    18m2

E)    None of these

Explanation:

Here, a = 2.5m, b = 1.5m, h = 6.5m

∴ Area of trapezium = 1/2 (a + b) * h = 1/2(2.5 + 1.5) * 6.5 = 13m2

8. What will be the cost of building a fence around a square plot with area equal to 256 sq ft, if the price per foot of building the fence is Rs. 48?

A)    Rs. 3072

B)    Rs.3828

C)    Rs.4176

D)    Rs.5076

E)    None of these

Explanation:

Let the side of the square plot be a ft.

x2 = 256 => x = 16

length of the fence = Perimeter of the plot = 4x = 64 ft.

cost of building the fence = 64 * 48 = Rs.3072

9. The area of a square is equal to four times the area of a rectangle of dimensions 96 * 64 cm. What is the perimeter of the square?

A)    600 cm

B)    800 cm

C)    768 cm

D)    1000 cm

E)    None of these

Explanation:

Area of the square = s*s = 4(96 * 64)

=> s = 24 * 8 = 192 cm

=> Perimeter of the square = 4 * 192 = 768 cm

10. A wire in the form of a circle of radius 4.2 m is bent in the form of a rectangle, whose length and breadth are in the ratio of 5:4. What is the area of the rectangle?

A)    60.1 cm2

B)    39.2 cm2

C)    45.3 cm2

D)    15 cm2

E)    None of these

The circumference of the circle is equal to the perimeter of the rectangle

Let l = 5x and b = 4x

=> 2(5x + 4x) = 2 * 22/7 * 4.2

=> x = 1.4

Therefore, l = 7cm and b = 5.6 cm

Area of the rectangle = 7 * 5.6 = 39.2 cm2