# Quantitative Aptitude: Mensuration Set 1

- What will be the area of trapezium whose parallel sides are 22 cm and 16 cm long, and the distance between them is 11 cm?

A) 209 cm^{2}

B) 282 cm^{2}

C) 265 cm^{2}

D) 179 cm^{2}

E) 302 cm^{2}

- The perimeter of a rectangle is 42 m. If the area of the square formed on the diagonal of the rectangle as its side is 1 1/12 % more than the area of the rectangle, find the longer side of the rectangle.

A) 19 m

B) 16 m

C) 9 m

D) 5 m

E) 12 m

- At the rate of Rs. 2 per sq m, cost of painting a rectangular floor is Rs 5760. If the length of the floor is 80% more than its breadth, then what is the length of the floor?

A) 25 m

B) 72 m

C) 67 m

D) 56 m

E) 46 m

- A 7 m wide path is to be made around a circular garden having a diameter of 7 m. What will be the area of the path in square metre?

A) 298

B) 256

C) 308

D) 365

E) 387

- The perimeter of a rectangle of length 62 cm and breadth 50 cm is four times perimeter of a square. What will be the circumference of a semicircle whose diameter is equal to the side of the given square?

A) 36 cm

B) 25 cm

C) 29 cm

D) 17 cm

E) 16 cm

- What is the volume of a cylinder whose curved surface area is 1408 cm
^{2}and height is 16 cm?

A) 7715 cm^{3}

B) 9340 cm^{3}

C) 8722 cm^{3}

D) 7346 cm^{3}

E) 9856 cm^{3}

- A cone with diameter of its base as 30 cm is formed by melting a spherical ball of diameter 10 cm. What is the approximate height of the cone?

A) 6 cm

B) 3 cm

C) 2 m

D) 5 cm

E) None of these

- A cylinder whose base of circumference is 6 m can roll at a rate of 3 rounds per second. How much distance will the cylinder cover in 9 seconds?

A) 125 m

B) 162 m

C) 149 m

D) 173 m

E) 157 m

- A container is formed by surmounting a hemisphere on a right circular cylinder of same radius as that of hemisphere. If the volume of the container is 576π m
^{3}and radius of cylinder is 6 m, then find the height of the container.

A) 14 m

B) 12 m

C) 20 m

D) 18 m

E) 22 m

- The radii of two cylinders are in the ratio 3 : 2 and their curved surface areas are in the ratio 3 : 5. What is the ratio of their volumes?

A) 8 : 11

B) 5 : 9

C) 7 : 4

D) 9 : 10

E) 13 : 7